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40 (forty) is the natural number following 39 and preceding 41. Though the word is related to "four" (4), the spelling "forty" replaced "fourty" in the course of the 17th century and is now the standard form.


In mathematics

*Forty is a composite number, a refactorable number, an octagonal number, and—as the sum of the first four pentagonal numbers: 1 + 5 + 12 + 22 =40—it is a pentagonal pyramidal number. Adding up some subsets of its divisors (e.g., 1, 4, 5, 10, and 20) gives 40; hence, 40 is a semiperfect number. *Given 40, the Mertens function returns 0. 40 is the smallest number with exactly nine solutions to the equation
Euler's totient function In number theory, Euler's totient function counts the positive integers up to a given integer that are relatively prime to . It is written using the Greek letter phi as \varphi(n) or \phi(n), and may also be called Euler's phi function. In ot ...
\varphi (x)=n. *Forty is the number of -queens problem solutions for n=7. *Forty is a repdigit in ternary (1111, ''i.e.'', 3^ + 3^ + 3^ + 3^, or, in other words, \frac ) and a
Harshad number In mathematics, a harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digits when written in that base. Harshad numbers in base are also known as -harshad (or -Niven) numbers. Harshad numbers ...
in
decimal The decimal numeral system (also called the base-ten positional numeral system and denary or decanary) is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral ...
.


In science

*The atomic number of zirconium. *Negative forty is the unique temperature at which the Fahrenheit and
Celsius The degree Celsius is the unit of temperature on the Celsius scale (originally known as the centigrade scale outside Sweden), one of two temperature scales used in the International System of Units (SI), the other being the Kelvin scale. The ...
scales correspond; that is, −40 °F = −40 °C. It is referred to as either "minus forty" or "forty below".


Astronomy

* Messier object M40, a magnitude 9.0
double star In observational astronomy, a double star or visual double is a pair of stars that appear close to each other as viewed from Earth, especially with the aid of optical telescopes. This occurs because the pair either forms a binary star (i.e. a bi ...
in the
constellation A constellation is an area on the celestial sphere in which a group of visible stars forms Asterism (astronomy), a perceived pattern or outline, typically representing an animal, mythological subject, or inanimate object. The origins of the e ...
Ursa Major *The
New General Catalogue The ''New General Catalogue of Nebulae and Clusters of Stars'' (abbreviated NGC) is an astronomical catalogue of deep-sky objects compiled by John Louis Emil Dreyer in 1888. The NGC contains 7,840 objects, including galaxies, star clusters and ...
object NGC 40, a magnitude 12.4 planetary nebula in the constellation Cepheus


In religion

The number 40 is found in many traditions without any universal explanation for its use. In Jewish,
Christian Christians () are people who follow or adhere to Christianity, a monotheistic Abrahamic religion based on the life and teachings of Jesus Christ. The words ''Christ'' and ''Christian'' derive from the Koine Greek title ''Christós'' (Χρι ...
,
Islam Islam (; ar, ۘالِإسلَام, , ) is an Abrahamic religions, Abrahamic Monotheism#Islam, monotheistic religion centred primarily around the Quran, a religious text considered by Muslims to be the direct word of God in Islam, God (or ...
ic, and other
Middle Eastern The Middle East ( ar, الشرق الأوسط, ISO 233: ) is a geopolitical region commonly encompassing Arabia (including the Arabian Peninsula and Bahrain), Asia Minor (Asian part of Turkey except Hatay Province), East Thrace (European ...
traditions it is taken to represent a large, approximate number, similar to "
umpteen Many languages have words expressing indefinite and fictitious numbers—inexact terms of indefinite size, used for comic effect, for exaggeration, as placeholder names, or when precision is unnecessary or undesirable. One technical term for such ...
".


Sumerian

*
Enki , image = Enki(Ea).jpg , caption = Detail of Enki from the Adda Seal, an ancient Akkadian cylinder seal dating to circa 2300 BC , deity_of = God of creation, intelligence, crafts, water, seawater, lakewater, fertility, semen, magic, mischief ...
( /ˈɛŋki/) or Enkil (Sumerian: dEN.KI(G)𒂗𒆠) is a god in
Sumerian Sumerian or Sumerians may refer to: *Sumer, an ancient civilization **Sumerian language **Sumerian art **Sumerian architecture **Sumerian literature **Cuneiform script, used in Sumerian writing *Sumerian Records, an American record label based in ...
mythology, later known as Ea in Akkadian and Babylonian mythology. He was originally patron god of the city of Eridu, but later the influence of his cult spread throughout Mesopotamia and to the
Canaanites {{Cat main, Canaan See also: * :Ancient Israel and Judah Ancient Levant Hebrew Bible nations Ancient Lebanon 0050 Ancient Syria Wikipedia categories named after regions 0050 Phoenicia Amarna Age civilizations ...
, Hittites and
Hurrians The Hurrians (; cuneiform: ; transliteration: ''Ḫu-ur-ri''; also called Hari, Khurrites, Hourri, Churri, Hurri or Hurriter) were a people of the Bronze Age Near East. They spoke a Hurrian language and lived in Anatolia, Syria and Northern Mes ...
. He was the deity of crafts (gašam); mischief; water, seawater, lake water (a, aba, ab), intelligence (gestú, literally "ear") and creation (Nudimmud: nu, likeness, dim mud, make bear). He was associated with the southern band of constellations called stars of Ea, but also with the constellation AŠ-IKU, the Field ( Square of Pegasus). Beginning around the second millennium BCE, he was sometimes referred to in writing by the numeric ideogram for "40", occasionally referred to as his "sacred number". A large number of myths about Enki have been collected from many sites, stretching from Southern Iraq to the Levantine coast. He figures in the earliest extant cuneiform inscriptions throughout the region and was prominent from the third millennium down to Hellenistic times. The exact meaning of his name is uncertain: the common translation is "Lord of the Earth": the Sumerian en is translated as a title equivalent to "lord"; it was originally a title given to the High Priest; ki means "earth"; but there are theories that ki in this name has another origin, possibly kig of unknown meaning, or kur meaning "mound". The name Ea is allegedly Hurrian in origin while others claim that it is possibly of Semitic origin and may be a derivation from the West-Semitic root *hyy meaning "life" in this case used for "spring", "running water". In Sumerian E-A means "the house of water", and it has been suggested that this was originally the name for the shrine to the God at Eridu.


Judaism

* In the Hebrew Bible, forty is often used for time periods, forty days or forty years, which separate "two distinct epochs".Michael David Coogan, ''A Brief Introduction to the Old Testament: The Hebrew Bible in Its Context'', Oxford, 2008, p. 116 * Rain fell for "forty days and forty nights" during the Flood (Genesis 7:4). * Noah waited for forty days after the tops of mountains were seen after the flood, before releasing a raven (Genesis 8:5–7). * Spies were sent by Moses to explore the land of Canaan (promised to the children of Israel) for "forty days" (Numbers 13:2, 25). * The Hebrew people lived in the lands outside of the promised land for "forty years". This period of years represents the time it takes for a new generation to arise (Numbers 32:13). * Several early Hebrew leaders and kings are said to have ruled for "forty years", that is, a generation. Examples include Eli (1 Samuel 4:18), Saul (Acts 13:21), David (2 Samuel 5:4), and Solomon (1 Kings 11:42). *
Goliath Goliath ( ) ''Goləyāṯ''; ar, جُليات ''Ǧulyāt'' (Christian term) or (Quranic term). is a character in the Book of Samuel, described as a Philistine giant In folklore, giants (from Ancient Greek: ''gigas'', cognate giga-) a ...
challenged the Israelites twice a day for forty days before David defeated him (1 Samuel 17:16). *
Moses Moses hbo, מֹשֶׁה, Mōše; also known as Moshe or Moshe Rabbeinu (Mishnaic Hebrew: מֹשֶׁה רַבֵּינוּ, ); syr, ܡܘܫܐ, Mūše; ar, موسى, Mūsā; grc, Mωϋσῆς, Mōÿsēs () is considered the most important pro ...
spent three consecutive periods of "forty days and forty nights" on Mount Sinai: # He went up on the seventh day of
Sivan ''Sivan'' (Hebrew: סִיוָן, Standard ''Sīvan'', Tiberian ''Sīwān''; from Akkadian ''simānu'', meaning "Season; time") is the ninth month of the civil year and the third month of the ecclesiastical year on the Hebrew calendar. It is a mo ...
, after God gave the Torah to the Jewish people, in order to learn the Torah from God, and came down on the seventeenth day of Tammuz, when he saw the Jews worshiping the
Golden Calf According to the Bible, the golden calf (עֵגֶל הַזָּהָב '' ‘ēgel hazzāhāv'') was an idol (a cult image) made by the Israelites when Moses went up to Mount Sinai. In Hebrew, the incident is known as ''ḥēṭə’ hā‘ēgel'' ...
and broke the tablets (Deuteronomy 9:11). # He went up on the eighteenth day of Tammuz to beg forgiveness for the people's sin and came down without God's atonement on the twenty-ninth day of Av (Deuteronomy 9:25). # He went up on the first day of Elul and came down on the tenth day of Tishrei, the first Yom Kippur, with God's atonement (Deuteronomy 10:10). * A
mikvah Mikveh or mikvah (,  ''mikva'ot'', ''mikvoth'', ''mikvot'', or (Yiddish) ''mikves'', lit., "a collection") is a bath used for the purpose of ritual immersion in Judaism to achieve ritual purity. Most forms of ritual impurity can be purifi ...
consists of 40 '' se'ah'' (approximately ) of water * The prophet Elijah had to walk 40 days and 40 nights before arriving at mount Horeb (1 Kings 19:8). * 40 lashes is one of the punishments meted out by the Sanhedrin ( Deuteronomy 25:3), though in actual practice only 39 lashes were administered. * (Numbers 14:33–34) alludes to the same with ties to the prophecy in The Book of Daniel. "For forty years—one year for each of the forty days you explored the land—you will suffer for your sins and know what it is like to have me against you." * One of the prerequisites for a man to study Kabbalah is that he is forty years old. * "The registering of these men was carried on cruelly, zealously, assiduously, from the rising of the sun to its going down, and was not brought to an end in forty days" (3 Maccabees 4:15). * Jonah warns
Nineveh Nineveh (; akk, ; Biblical Hebrew: '; ar, نَيْنَوَىٰ '; syr, ܢܝܼܢܘܹܐ, Nīnwē) was an ancient Assyrian city of Upper Mesopotamia, located in the modern-day city of Mosul in northern Iraq. It is located on the eastern ban ...
that "Forty days more, and Nineveh shall be overthrown." (Jonah 3:4)


Christianity

Christianity similarly uses forty to designate important time periods. *Moses stays on Mount Sinai for 40 days and nights (Exodus 24:18). * Before his temptation, Jesus fasted "forty days and forty nights" in the Judean desert (Matthew 4:2, Mark 1:13, Luke 4:2). * Forty days was the period from the resurrection of Jesus to the ascension of Jesus (Acts 1:3). * According to Stephen, Moses' life is divided into three 40-year segments, separated by his growing to adulthood, fleeing from Egypt, and his return to lead his people out (Acts 7:23, 30, 36). * In modern Christian practice,
Lent Lent ( la, Quadragesima, 'Fortieth') is a solemn religious observance in the liturgical calendar commemorating the 40 days Jesus spent fasting in the desert and enduring temptation by Satan, according to the Gospels of Matthew, Mark and Luke ...
consists of the 40 days preceding Easter. In much of Western Christianity, Sundays are excluded from the count, there are 46 days in total of Lent; in Eastern Christianity, Sundays are included. * The Forty Martyrs of Sebaste *
Kirk Kilisse Kirk is a Scottish and former Northern English word meaning "church". It is often used specifically of the Church of Scotland. Many place names and personal names are also derived from it. Basic meaning and etymology As a common noun, ''kirk'' ...
, "Forty Churches" (Σαράντα Εκκλησιές) in Eastern Thrace * Rain fell for "forty days and forty nights" during the Flood (Genesis 7:4).


Islam

* Muhammad was forty years old when he first received the revelation delivered by the archangel Gabriel. * Masih ad-Dajjal roams around the Earth in forty days, the first day length is like one year, the second day is like one month, the third day is like one week and the next day (until 40th day) is like one day. * God forbade the Israelites from entering the Holy Land for 40 years to separate them from Musa (
Moses Moses hbo, מֹשֶׁה, Mōše; also known as Moshe or Moshe Rabbeinu (Mishnaic Hebrew: מֹשֶׁה רַבֵּינוּ, ); syr, ܡܘܫܐ, Mūše; ar, موسى, Mūsā; grc, Mωϋσῆς, Mōÿsēs () is considered the most important pro ...
) and his brother. * Musa (
Moses Moses hbo, מֹשֶׁה, Mōše; also known as Moshe or Moshe Rabbeinu (Mishnaic Hebrew: מֹשֶׁה רַבֵּינוּ, ); syr, ܡܘܫܐ, Mūše; ar, موسى, Mūsā; grc, Mωϋσῆς, Mōÿsēs () is considered the most important pro ...
) spent 40 days on Mount Sinai where he received the 10 commandments.


Yazidism

* In the Yazidi faith, The Chermera Temple (meaning "40 Men" in the Yazidi dialect) is so old that no one remembers how it came to have that name but it is believed to derive from the burial of 40 men on the mountaintop site.


Funerary customs

* Some Russians, Bulgarians, and Serbs believe that
ghost A ghost is the soul or spirit of a dead person or animal that is believed to be able to appear to the living. In ghostlore, descriptions of ghosts vary widely from an invisible presence to translucent or barely visible wispy shapes, to rea ...
s of the dead linger at the site of their death for forty days. After the forty days, additional prayers are performed at the grave (parastos (парастос) or panihida (панихида)), to escort the soul on its way to God's court. * Many Christian Filipinos mark the end of the initial mourning period on the fortieth day after death, and have a Mass said. They believe that the soul remains on the earthly plane for forty days before entering the afterlife, recalling how Christ ascended to heaven forty days after his Resurrection.


Hinduism

* In Hinduism, some popular religious prayers consist of forty shlokas or dohas (couplets, stanzas). The most common being the Hanuman Chalisa (''chaalis'' is the Hindi term for 40). In the Hindu system some of the popular fasting periods consist 40 days and is called the period One 'Mandala Kalam' Kalam means a period and Mandala Kalam means a period of 40 days. For example, the devotees (male and female) of Swami Ayyappa, the name of a Hindu god very popular in Kerala, India (Sabarimala Swami Ayyappan) strictly observed forty days fasting and visit (since female devotees of a certain biological age group wouldn't be able to perform the continuous 40-day-austerities, they wouldn't enter into the god's temple until September 2018) with their holy submission or offerings on 41st or a convenient day after a minimum 40 days practice of fasting. The offering is called "Kaanikka".


Buddhism

* When discussing meditation, the
Visuddhimagga The ''Visuddhimagga'' (Pali; English: ''The Path of Purification''), is the 'great treatise' on Buddhist practice and Theravāda Abhidhamma written by Buddhaghosa approximately in the 5th century in Sri Lanka. It is a manual condensing and syst ...
suggests 40 meditation subjects to focus on.


Sikhism

* Anand Sahib, the fifth and the final of the daily Sikh prayers have 40 paragraphs, and the 40th paragraph is often read when concluding any Sikh ceremony. * Chali Mukte (40 liberated ones) refer to the 40 soldiers in the army of
Guru Gobind Singh Guru Gobind Singh (; 22 December 1666 – 7 October 1708), born Gobind Das or Gobind Rai the tenth Sikh Guru, a spiritual master, warrior, poet and philosopher. When his father, Guru Tegh Bahadur, was executed by Aurangzeb, Guru Gobind Sing ...
. These 40 disciples were the most favorite and beloved disciples of the Guru.


In entertainment

* "#40" is a song by Dave Matthews Band * "40" is a song by Franz Ferdinand * "40" is a 1983 song by U2 from their album ''War'', whose lyrics are a modification of Psalm 40 * Crush 40 is an American-Japanese hard rock band featured in the ''
Sonic the Hedgehog is a Japanese video game series and media franchise created by Sega. The franchise follows Sonic, an anthropomorphic blue hedgehog who battles the evil Doctor Eggman, a mad scientist. The main ''Sonic the Hedgehog'' games are platformers mo ...
'' franchise produced by
Sega is a Japanese multinational corporation, multinational video game and entertainment company headquartered in Shinagawa, Tokyo. Its international branches, Sega of America and Sega Europe, are headquartered in Irvine, California and London, r ...
and Sonic Team; their self-titled album is named after the band. * The highest number counted to on '' Sesame Street'' * The number of positions on several radio countdown programs, notably ''
American Top 40 ''American Top 40'' (previously abbreviated to ''AT40'') is an internationally syndicated, independent song countdown radio program created by Casey Kasem, Don Bustany, Tom Rounds, and Ron Jacobs. The program is currently hosted by Ryan Seacr ...
'', '' American Country Countdown'', and ''
Rick Dees' Weekly Top 40 ''Rick Dees Weekly Top 40'' (sometimes known as ''The Weekly Top 40'') is an internationally syndicated radio program created and hosted by American radio personality Rick Dees. It is currently heard on over 200 radio stations worldwide. It is di ...
'' * Chefs are given a $40 budget in '' The Early Show'' segment "Chef on a Shoestring". *
Noah Shebib Noah ''Nukh''; am, ኖህ, ''Noḥ''; ar, نُوح '; grc, Νῶε ''Nôe'' () is the tenth and last of the pre-Flood patriarchs in the traditions of Abrahamic religions. His story appears in the Hebrew Bible (Book of Genesis, chapters 5– ...
, the Canadian hip hop producer is also known as "40". * " Forty Shades of Green", a song about Ireland, was written and recorded by Johnny Cash in 1961. * '' Fortycoats & Co.'' was an Irish children's television drama series of the 1980s; the name is based on the nickname of a Dublin tramp, Johnny Fortycoats, of the 1930s.


In sports

* In baseball, each team in Major League Baseball is allowed to have 40 players under major-league contracts at any given time (not including players on the 60-day disabled list). From September 1 to the end of the regular season, teams were allowed to expand their game-day rosters to include the entire 40-man roster through the 2019 season, but from 2020 teams are only allowed 28 players on their game-day rosters during that period. * In horse racing, the maximum permitted number of runners in the Grand National is 40. * The
40-yard dash The 40-yard dash is a sprint covering . It is primarily run to evaluate the speed and acceleration of American football players by scouts, particularly for the NFL Draft but also for collegiate recruiting. A player's recorded time can have a he ...
is an important metric in American football scouting. * In tennis, the number 40 represents the third point gained in a game. A score of 40–40 (three points each) is called "deuce", at which time a player must score two consecutive points to win the game. * In NASCAR, the number of cars that have run each race in the top-level Cup Series since 2016, and the second-level Xfinity Series since 2013.


In other fields

Forty is also: * Kyrgyzstan is a country in Central Asia and is derived from the
Turkic Turkic may refer to: * anything related to the country of Turkey * Turkic languages, a language family of at least thirty-five documented languages ** Turkic alphabets (disambiguation) ** Turkish language, the most widely spoken Turkic language * ...
word meaning "Land of forty tribes" *in the expression " forty winks", meaning a short sleep *in the trademark name of the penetrating oil and water-displacing spray WD-40; "WD-40" is an abbreviation of "Water Displacement, 40th formula". *the caliber of the bullet in a number of firearms cartridges, most notably the .40 S&W. (The
10mm Auto The 10mm Auto (10×25mm, official C.I.P. nomenclature: 10 mm Auto, official SAAMI nomenclature: 10mm Automatic) is a semi-automatic pistol cartridge introduced in 1983. Its design was adopted and later produced by ammunition manufacturer ...
, although designated as metric caliber, uses the same caliber, and often uses the same bullets.) *the number of years of marriage celebrated by the ruby wedding anniversary *the code for direct dial international phone calls to Romania *the number of spaces in a standard ''Monopoly'' game board *the number of thieves in " Ali Baba and the Forty Thieves" and in ''Ali Shar and Zumurrud'', from ''
One Thousand and One Nights ''One Thousand and One Nights'' ( ar, أَلْفُ لَيْلَةٍ وَلَيْلَةٌ, italic=yes, ) is a collection of Middle Eastern folk tales compiled in Arabic during the Islamic Golden Age. It is often known in English as the ''Arabian ...
'' (both the numbers 40 and
1001 Year 1001 ( MI) was a common year starting on Wednesday (link will display the full calendar) of the Julian calendar. It is the first year of the 11th century and the 2nd millennium. Events By place Africa * Khazrun ben Falful, from the Mag ...
are more likely to mean "many" than to indicate a specific number) *the customary number of hours in a regular workweek in some Western countries *the number of weeks for an average term of pregnancy, counting from the woman's last menstrual period *a 40-ounce bottle of malt liquor, referenced in the song "
40oz. to Freedom ''40oz. to Freedom'' is the debut studio album by American ska punk band Sublime, originally released on June 1, 1992 on Skunk Records. It was later reissued by MCA. ''40oz. to Freedoms sound blended various forms of Jamaican music, including ska ...
" by
Sublime Sublime may refer to: Entertainment * SuBLime, a comic imprint of Viz Media for BL manga * Sublime (band), an American ska punk band ** ''Sublime'' (album), 1996 * ''Sublime'' (film), a 2007 horror film * SubLime FM, a Dutch radio station dedic ...
*The '' Tessarakonteres'', or 40, the largest ship of antiquity, constructed by Ptolemy IV *Forty is the only integer whose English name has its letters in alphabetical order. * Forty Foot, a promontory on the southern tip of Dublin Bay, Ireland, from which people have been swimming in the Irish Sea all year round for some 250 years *After the Civil War, there were plans to offer freed slaves
40 acres and a mule Forty acres and a mule was part of Special Field Orders No. 15, a wartime order proclaimed by Union General William Tecumseh Sherman on January 16, 1865, during the American Civil War, to allot land to some freed families, in plots of land no la ...
. *To understand a people, you must live among them for 40 days. ''~Arabic proverb'' * Quarantine, the practice of isolation to prevent the spread of epidemic disease, derives from a Venetian dialect of the Italian meaning 'forty days', the period that ships were required to be isolated before passengers and crew could go ashore during the
Black Death The Black Death (also known as the Pestilence, the Great Mortality or the Plague) was a bubonic plague pandemic occurring in Western Eurasia and North Africa from 1346 to 1353. It is the most fatal pandemic recorded in human history, causi ...
. *To qualify for retirement benefits under Social Security (United States), a person must have earnings for 40 quarters (equivalent to 10 years). * Forty-shilling freeholders, a nickname, given to those who qualified for a franchise, the right to vote, based on their interest in land and/or property with an annual rental value of 40s. Introduced in England in 1430, it applied there and in many associated territories, in various forms, up to 1918.


See also

* List of highways numbered 40 * Yaldā Night, also known as Shab-e Chelleh, meaning "night of forty", celebrated in Iran on the night of the
Northern Hemisphere The Northern Hemisphere is the half of Earth that is north of the Equator. For other planets in the Solar System, north is defined as being in the same celestial hemisphere relative to the invariable plane of the solar system as Earth's Nort ...
's winter solstice


References

*


Further reading

*


External links

* {{Authority control Integers