Deprecated: Creation of dynamic property wpdb::$categories is deprecated in /home/calculadsa/www/wp-includes/wp-db.php on line 760

Deprecated: Creation of dynamic property wpdb::$post2cat is deprecated in /home/calculadsa/www/wp-includes/wp-db.php on line 760

Deprecated: Creation of dynamic property wpdb::$link2cat is deprecated in /home/calculadsa/www/wp-includes/wp-db.php on line 760

Deprecated: Using ${var} in strings is deprecated, use {$var} instead in /home/calculadsa/www/wp-includes/comment-template.php on line 1745

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Return type of Pimple\Container::offsetExists($id) should either be compatible with ArrayAccess::offsetExists(mixed $offset): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/vendor-prod/pimple/pimple/src/Pimple/Container.php on line 133

Deprecated: Return type of Pimple\Container::offsetGet($id) should either be compatible with ArrayAccess::offsetGet(mixed $offset): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/vendor-prod/pimple/pimple/src/Pimple/Container.php on line 98

Deprecated: Return type of Pimple\Container::offsetSet($id, $value) should either be compatible with ArrayAccess::offsetSet(mixed $offset, mixed $value): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/vendor-prod/pimple/pimple/src/Pimple/Container.php on line 79

Deprecated: Return type of Pimple\Container::offsetUnset($id) should either be compatible with ArrayAccess::offsetUnset(mixed $offset): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/vendor-prod/pimple/pimple/src/Pimple/Container.php on line 143

Deprecated: Return type of iThemesSecurity\Lib\Lockout\Execute_Lock\Context::offsetExists($offset) should either be compatible with ArrayAccess::offsetExists(mixed $offset): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/lib/lockout/execute-lock/abstract-context.php on line 60

Deprecated: Return type of iThemesSecurity\Lib\Lockout\Execute_Lock\Context::offsetGet($offset) should either be compatible with ArrayAccess::offsetGet(mixed $offset): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/lib/lockout/execute-lock/abstract-context.php on line 66

Deprecated: Return type of iThemesSecurity\Lib\Lockout\Execute_Lock\Context::offsetSet($offset, $value) should either be compatible with ArrayAccess::offsetSet(mixed $offset, mixed $value): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/lib/lockout/execute-lock/abstract-context.php on line 72

Deprecated: Return type of iThemesSecurity\Lib\Lockout\Execute_Lock\Context::offsetUnset($offset) should either be compatible with ArrayAccess::offsetUnset(mixed $offset): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/lib/lockout/execute-lock/abstract-context.php on line 76

Deprecated: Return type of iThemesSecurity\Lib\Lockout\Execute_Lock\Context::getIterator() should either be compatible with IteratorAggregate::getIterator(): Traversable, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/lib/lockout/execute-lock/abstract-context.php on line 56

Deprecated: Return type of ITSEC_Lib_Distributed_Storage_Cursor::current() should either be compatible with Iterator::current(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/lib/class-itsec-lib-distributed-storage.php on line 578

Deprecated: Return type of ITSEC_Lib_Distributed_Storage_Cursor::next() should either be compatible with Iterator::next(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/lib/class-itsec-lib-distributed-storage.php on line 585

Deprecated: Return type of ITSEC_Lib_Distributed_Storage_Cursor::key() should either be compatible with Iterator::key(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/lib/class-itsec-lib-distributed-storage.php on line 606

Deprecated: Return type of ITSEC_Lib_Distributed_Storage_Cursor::valid() should either be compatible with Iterator::valid(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/lib/class-itsec-lib-distributed-storage.php on line 613

Deprecated: Return type of ITSEC_Lib_Distributed_Storage_Cursor::rewind() should either be compatible with Iterator::rewind(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/lib/class-itsec-lib-distributed-storage.php on line 620

Deprecated: Using ${var} in strings is deprecated, use {$var} instead in /home/calculadsa/www/wp-content/plugins/contact-form-7/includes/mail.php on line 221

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Return type of WPGMZA\CustomFeatureFields::getIterator() should either be compatible with IteratorAggregate::getIterator(): Traversable, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/wp-google-maps-pro/includes/custom-fields/class.custom-map-object-fields.php on line 120

Deprecated: Return type of WPGMZA\CustomFeatureFields::jsonSerialize() should either be compatible with JsonSerializable::jsonSerialize(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/wp-google-maps-pro/includes/custom-fields/class.custom-map-object-fields.php on line 129

Deprecated: Return type of WPGMZA\CustomFeatureFields::count() should either be compatible with Countable::count(): int, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/wp-google-maps-pro/includes/custom-fields/class.custom-map-object-fields.php on line 111

Deprecated: Return type of WPGMZA\CustomFields::getIterator() should either be compatible with IteratorAggregate::getIterator(): Traversable, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/wp-google-maps-pro/includes/custom-fields/class.custom-fields.php on line 121

Deprecated: Return type of WPGMZA\CustomFields::jsonSerialize() should either be compatible with JsonSerializable::jsonSerialize(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/wp-google-maps-pro/includes/custom-fields/class.custom-fields.php on line 130

Deprecated: Return type of WPGMZA\CustomFields::count() should either be compatible with Countable::count(): int, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in /home/calculadsa/www/wp-content/plugins/wp-google-maps-pro/includes/custom-fields/class.custom-fields.php on line 136

Deprecated: Using ${var} in strings is deprecated, use {$var} instead in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/modules/core/class-itsec-admin-notices.php on line 141

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property WPGMZA\ProDatabase::$version is deprecated in /home/calculadsa/www/wp-content/plugins/wp-google-maps-pro/includes/class.pro-database.php on line 12

Deprecated: Creation of dynamic property WPGMZA\ProDatabase::$charset_collate is deprecated in /home/calculadsa/www/wp-content/plugins/wp-google-maps-pro/includes/class.pro-database.php on line 13

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property WP_Rocket\Engine\Preload\SitemapPreloadSubscriber::$options is deprecated in /home/calculadsa/www/wp-content/plugins/wp-rocket/inc/Engine/Preload/SitemapPreloadSubscriber.php on line 26

Deprecated: Creation of dynamic property WP_Rocket\Engine\Preload\SitemapPreloadSubscriber::$sitemap_preload is deprecated in /home/calculadsa/www/wp-content/plugins/wp-rocket/inc/Engine/Preload/SitemapPreloadSubscriber.php on line 27

Deprecated: Automatic conversion of false to array is deprecated in /home/calculadsa/www/wp-content/plugins/wp-rocket/inc/3rd-party/plugins/seo/yoast-seo.php on line 10

Deprecated: Creation of dynamic property Yoast\WP\SEO\Main::$helpers is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/lib/abstract-main.php on line 65

Deprecated: trim(): Passing null to parameter #1 ($string) of type string is deprecated in /home/calculadsa/www/wp-content/plugins/better-wp-security/core/core.php on line 1092

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property WP_Block_Type::$skip_inner_blocks is deprecated in /home/calculadsa/www/wp-includes/class-wp-block-type.php on line 357

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Constant FILTER_SANITIZE_STRING is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/conditionals/third-party/elementor-edit-conditional.php on line 22

Deprecated: Constant FILTER_SANITIZE_STRING is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/conditionals/third-party/elementor-edit-conditional.php on line 28

Deprecated: Creation of dynamic property POMO_FileReader::$is_overloaded is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 26

Deprecated: Creation of dynamic property POMO_FileReader::$_pos is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 29

Deprecated: Creation of dynamic property POMO_FileReader::$_f is deprecated in /home/calculadsa/www/wp-includes/pomo/streams.php on line 160

Deprecated: Creation of dynamic property MO::$_gettext_select_plural_form is deprecated in /home/calculadsa/www/wp-includes/pomo/translations.php on line 293

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /home/calculadsa/www/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property WP_Term::$object_id is deprecated in /home/calculadsa/www/wp-includes/class-wp-term.php on line 198

Deprecated: Creation of dynamic property Yoast\WP\SEO\Surfaces\Classes_Surface::$container is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/surfaces/classes-surface.php on line 20

Deprecated: Creation of dynamic property Yoast\WP\SEO\Main::$classes is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/lib/abstract-main.php on line 65

Deprecated: Creation of dynamic property Yoast\WP\SEO\Context\Meta_Tags_Context::$page_type is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 43

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$robots is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$title is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$source is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64
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Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$meta_description is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$canonical is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$rel_prev is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$rel_next is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$open_graph_locale is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$open_graph_type is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$open_graph_title is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$open_graph_description is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$open_graph_url is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Context\Meta_Tags_Context::$wordpress_site_name is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

Deprecated: Creation of dynamic property Yoast\WP\SEO\Presentations\Indexable_Post_Type_Presentation::$open_graph_site_name is deprecated in /home/calculadsa/www/wp-content/plugins/wordpress-seo/src/presentations/abstract-presentation.php on line 64

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Calculadora factorial online

Resumen

Calcula el factorial de un número con nuestra calculadora online de factoriales. ¿Cuál es el factorial de un número negativo? ¿Y el de 0? Descúbrelo aquí!

Calcula el factorial de un número entero positivo con nuestra calculadora online de factoriales. Su funcionamiento es muy sencillo ya que sólo tienes que introducir el número del cual quieres calcular su factorial y presionar el botón de calcular para obtener el resultado que estás buscando.

¿Qué es un factorial?

Calculadora de número factorial online

Un factorial de un número entero positivo (n) se define como el producto de todos los números enteros positivos desde el 1 hasta n. Por ejemplo, vamos a calcular el factorial del número 6:

6! = 6 x 5 x 4 x 3 x 2 x 1 = 720.

Te habrá llamado la atención que junto al 6 hay un signo de exclamación. No, no nos hemos equivocado y es que la nomenclatura de un factorial es precisamente esa, un signo de exclamación colocado a la derecha del número.

Factorial de un número negativo

Uno de los ejercicios típicos de clase para engañarnos consiste en calcular el factorial de un número negativo. Sin embargo, por definición no es posible hacer la descomposición factorial de números negativos ya que la función sólo tiene en cuenta todos los números enteros positivos. Esto quiere decir que tampoco se puede calcular el factorial de un número decimal o de fracciones.

Factorial de 0

Ahora que ya sabemos que no existen factoriales de números negativos, ¿cuál es el factorial de 0?

En este caso, la convención matemática estableció que 0! = 1.

Si intentamos justificar esta respuesta tenemos que recurrir a la siguiente fórmula matemática:

Fórmula del factorial

En ella podemos calcular el valor del factorial anterior que corresponde a cada número entero positivo n mayor o igual que 1. En nuestro caso, si n=1 tenemos que:

(1-1)! = 0! = 1!/1 = 1

Y eso viene a confirmar el motivo por el cual el factorial de cero es igual a 1.

Calcular factoriales en Excel

Además de usar nuestra calculadora online de factoriales, también puedes resolver factoriales con Excel. Para ello, abre el programa de Microsoft, crea una nueva hoja de cálculo y en una celda vacía pon la siguiente función:

=FACT()

Entre paréntesis escribe el número del cual quieres obtener su factorial. Recuerda que debe ser un número entero mayor que cero o de lo contrario obtendrás un error. Por ejemplo, vamos a calcular el factorial de 3 en Excel:

=FACT(3)

Tras aceptar la operación el programa nos devuelve que el resultado es 6.

Tabla de factoriales

A continuación tienes una tabla que recopila los factoriales del rango de números comprendidos del 1 al 20. Como puedes comprobar, con número pequeños, empezamos a manejar factoriales suficientemente grandes como para tener que recurrir a una calculadora para averiguar su resultado.

NúmeroFactorial
11
22
36
424
5120
6720
75040
840320
9362880
103628800
1139916800
12479001600
136227020800
1487178291200
151307674368000
1620922789888000
173.55687428096E+14
186.402373705728E+15
191.2164510040883E+17
202.4329020081766E+18


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Calculadora Conversor > Calculadoras matemáticas > Calculadora factorial online

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