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40 (number)

From Wikipedia, the free encyclopedia
Natural number, composite number
"Forty" redirects here. For other uses, see40.
Natural number
← 3940 41 →
Cardinalforty
Ordinal40th
(fortieth)
Numeral systemquadragesimal
Factorization23 × 5
Divisors1, 2, 4, 5, 8, 10, 20, 40
Greek numeralΜ´
Roman numeralXL,xl
Latinprefixquadrage-
Binary1010002
Ternary11113
Senary1046
Octal508
Duodecimal3412
Hexadecimal2816
ArmenianԽ
Hebrewמ / ם
Babylonian numeral𒐏
Egyptian hieroglyph𓎉

40 (forty) is thenatural number following39 and preceding41.

Though the word is related tofour (4), the spellingforty replacedfourty during the 17th century[1][2] and is now the standard form.

Mathematics

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40 is anabundant number.[3]

Swiss mathematicianLeonhard Euler noted 40 prime numbers generated by thequadratic polynomialn2+n+41{\displaystyle n^{2}+n+41}, with valuesn=0,1,2,...,39{\displaystyle n=0,1,2,...,39}. These forty prime numbers are the same prime numbers that are generated using the polynomialn2n+41{\displaystyle n^{2}-n+41} with values ofn{\displaystyle n} from 1 through 40, and are also known in this context asEuler's "lucky" numbers.[4]

In religion

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The number 40 is found in many traditions without any universal explanation for its use. InJewish,Christian,Islamic, and otherMiddle Eastern traditions it is taken to represent alarge, approximate number, similar to "umpteen".

Sumerian

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Enki ( /ˈɛŋki/) or Enkil (Sumerian: dEN.KI(G)𒂗𒆠) is a god inSumerian mythology, later known as Ea in Akkadian and Babylonian mythology. He was originally patron god of the city ofEridu, but later the influence of his cult spread throughoutMesopotamia and to theCanaanites,Hittites andHurrians. 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".

Judaism

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  • In theHebrew Bible, forty is often used for time periods, forty days or forty years, which separate "two distinct epochs".[5]
  • 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 challenged the Israelites twice a day for forty days beforeDavid defeated him (1 Samuel 17:16).
  • Moses spent three consecutive periods of "forty days and forty nights" onMount Sinai:
  1. He went up on the seventh day ofSivan, afterGod gave the Torah to the Jewish people, in order to learn the Torah from God, and came down on theseventeenth day of Tammuz, when he saw the Jews worshiping theGolden Calf and broke the tablets (Deuteronomy 9:11).
  2. He went up on the eighteenth day ofTammuz to beg forgiveness for the people's sin and came down without God's atonement on the twenty-ninth day ofAv (Deuteronomy 9:25).
  3. He went up on the first day ofElul and came down on the tenth day ofTishrei, the firstYom Kippur, with God's atonement (Deuteronomy 10:10).
  • Amikvah consists of 40se'ah (approximately 200U.S. gallons or 760liters) of water
  • The prophetElijah had to walk 40 days and 40 nights before arriving atmount Horeb (1 Kings 19:8).
  • 40 lashes is one of the punishments meted out by theSanhedrin (Deuteronomy 25:3), though in actual practice only 39 lashes were administered.[6]
  • (Numbers 14:33–34) alludes to the same[clarification needed] 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 warnsNineveh that "Forty days more, and Nineveh shall be overthrown." (Jonah 3:4)

Christianity

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  • Before starting his ministry, Jesus went to the wilderness and fasted for forty days and nights before being tempted by the devil (Matthew 4:1-2, Luke 4:1-2).
  • Jesus showed himself alive for forty days after he suffered (Acts 1:3).

Islam

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  • Prophet Muhammad was forty years old when he first received the revelation delivered by the archangel Gabriel.[citation needed] TheQuran states that a person reaches the age of maturity at 40.[7]

Hinduism

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InHinduism, some popular religious prayers consist of fortyshlokas ordohas (couplets, stanzas). The most common being theHanuman 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 would not be able to perform the continuous 40-day-austerities, they would not 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".

In other fields

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Forty is also:

  • Kyrgyzstan is a country in Central Asia and is derived from theKyrgyz word meaning "Land of forty tribes". The number 40 is significant in Kyrgyz traditions and appears in many areas of Kyrgyz culture.
  • In Tamil literary tradition, 40 (nāṟpatu: நாற்பது) and 400 (nāṉūṟu: நானூறு) have a special significance. Many short works of the post-Sangam period have 40 poems. Some well-known works with 40 poems are naṉṉeṟi, iṉṉā nāṟpatu, kaḷavaḻi nāṟpatu, iṉiyavai nāṟpatu, kār nāṟpatu.
  • The number of years of marriage celebrated by the rubywedding anniversary
  • Forty-shilling freeholders, a nickname, given to those who qualified for afranchise, 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.

References

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  1. ^Google nGrams
  2. ^Oxford English Dictionary, 1st edition,s.v.
  3. ^Sloane, N. J. A. (ed.)."Sequence A005101 (abundant numbers)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^Euler, Leonhard (1772).Extrait d'un lettre de M. Euler le pere à M. Bernoulli concernant le Mémoire imprimé parmi ceux de 1771 (Extract of a letter). Nouveaux Mémoires del'Académie Royale des Sciences de Berlin (in French).University of the Pacific (The Euler Archive). pp. 35, 36.
  5. ^Michael David Coogan,A Brief Introduction to the Old Testament: The Hebrew Bible in Its Context, Oxford, 2008, p. 116
  6. ^"Flogging".
  7. ^KoranAl-Ahqaf:15

Further reading

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External links

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Look upforty in Wiktionary, the free dictionary.
Wikisource has the text of the1911Encyclopædia Britannica article "Forty".
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