Information about Forty

40 (forty) is the natural number following 39 and preceding 41.

Despite being related to the word "four" (4), 40 is spelled as "forty", not "fourty". The letters of the word "forty" are in alphabetical order; this is the only number that has this linguistic property in English.

0 10 20 30 40 50 60 70 80 90
Cardinal40
forty
Ordinal40th
fortieth
Factorization
Divisors1, 2, 4, 5, 8, 10, 20, 40
Roman numeralXL
Roman numeral (Unicode)XL, xl
Binary101000
Octal50
Duodecimal34
Hexadecimal28

In mathematics

Forty is an octagonal number, and as the sum of the first four pentagonal numbers, 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 n with exactly 9 solutions to the equation φ(x) = n.

Forty is the number of n-queens problem solutions for n = 7.

40 is a repdigit in base 3 (1111) and a Harshad number in base 10.

In science

Astronomy

In religion

The number 40 is significant in Jewish, Christian, Islamic, and other Middle Eastern traditions, it can also represent a rough calculation huge sum of units (a lot of).
  • "Forty days and forty nights" describes the period for which rain fell during Noah's flood
  • "Forty days" was the length of the period that the twelve spies explored the Promised Land (Numbers 13)
  • "Forty years" was the length of Israel's wandering in the wilderness. This period of years represents a generation, that is, the time it takes for a new generation to arise.
  • Moses' life is divided into three 40-year segments, separated by his fleeing from Egypt, and his return to lead the people out.
  • Several Israelite leaders and kings are said to have ruled for "forty years", that is, a generation. (Examples: Eli, Saul, David, Solomon.)
  • According to the Midrash, Moses spent three consecutive periods of "forty days and forty nights" on Mount Sinai:
  1. He went up on the seventh day of Sivan, 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 and broke the tablets
  2. 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
  3. 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
  • Rabbi Akiva, the greatest expositor of the Oral Torah, only began learning how to read Hebrew when he was 40 years old
  • A mikvah consists of 40 se'ah (approximately 200 gallons) of water
  • 40 lashes is one of the punishments meted out by the Sanhedrin (in actual practice, only 39 lashes were administered)
  • "Forty days and forty nights" was the period Jesus spent fasting in the wilderness, after which he was tempted by Satan.
  • Forty days was the period from Jesus' resurrection till his ascension into heaven.
  • In modern Christian practice, Lent consists of the 40 days preceding Easter. In much of Western Christianity Sundays are excluded from the count; in Eastern Christianity Sundays are included.
  • The dead are usually mourned for forty days in Muslim cultures
  • Ad-Dajjal roams around the Earth in forty days, forty days that can be as many as forty months, forty years, and so on.
  • Khadijah is said to be forty years old when she married Muhammad
  • Muhammad is said to be forty years old when he first received the relevation delivered by an angel
  • Some Russians believe that ghosts of the dead linger at the site of their death for forty days
  • In Eternalism, 40 is believed to be the number of the Corrupter, the Anti-Christ in Christianity, and is formed from the numbers 18+1+6+6+9. This also spells Raffi with correct numero-alphabetic translation.
  • 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 other fields

Forty is also: Rigveda : The total number of syllables in Rigveda, the most sacred and ancient scripture of the Hindu Religion, equal to the total Muhurtas or the ‘auspicious time’ in 40 years. There are 432,000 syllables in Rigveda. In each day, we have 30 Muhurtas. The total number of days in a year as per the Hindu Calender is 360 days. This works out to 40 years. The number 40 is an important number in the Hindu tradition. ..... Shrikant V Soman

Historical years

40 A.D., 40 B.C., 1940, 2040, etc.

See also

In mathematics, a natural number can mean either an element of the set (i.e the positive integers or the counting numbers) or an element of the set (i.e. the non-negative integers).
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39 (thirty-nine) is the natural number following 38 and preceding 40.

In mathematics

39 is the 12th distinct semiprime and the 4th in the family. It is the last member of the third distinct biprime pair (38,39).
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41 (forty-one) is the natural number following 40 and preceding 42.

In mathematics

Forty-one is the 13th smallest prime number. The next is forty-three, with which it comprises a twin prime.
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English}}} 
Writing system: Latin (English variant) 
Official status
Official language of: 53 countries
Regulated by: no official regulation
Language codes
ISO 639-1: en
ISO 639-2: eng
ISO 639-3: eng  
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39 (thirty-nine) is the natural number following 38 and preceding 40.

In mathematics

39 is the 12th distinct semiprime and the 4th in the family. It is the last member of the third distinct biprime pair (38,39).
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41 (forty-one) is the natural number following 40 and preceding 42.

In mathematics

Forty-one is the 13th smallest prime number. The next is forty-three, with which it comprises a twin prime.
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42 (forty-two) is the natural number following 41 and preceding 43.

In mathematics

It is a composite number; its factorization makes it the second sphenic number and also the second of the form .
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43 (forty-three) is the natural number following 42 and preceding 44.

In mathematics

Forty-three is the 14th smallest prime number. The previous is forty-one, with which it comprises a twin prime, and the next is forty-seven.
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44 (forty-four) is the natural number following 43 and preceding 45.

In mathematics

Forty-four is a tribonacci number, a happy number and an octahedral number.

The aliquot sequence of 44 is (44,40,50,43,1,0).
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45 (forty-five) is the natural number following 44 and followed by 46.

In mathematics

Forty-five is a triangular number, a hexagonal and 16-gonal number, a Kaprekar number, and a Harshad number.
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46 (forty-six) is the natural number following 45 and preceding 47.

In mathematics

Forty-six is a Wedderburn-Etherington number, an enneagonal number and a centered triangular number. It is the sum of the totient function for the first twelve integers.
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47 (forty-seven) is the natural number following 46 and preceding 48.

In mathematics

Forty-seven is the 15th prime number, a safe prime, a supersingular prime, and the 6th Lucas prime. 47 is a highly cototient number.
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48 (forty-eight) is the natural number following 47 and preceding 49. It is one third of a gross or four dozens.

In mathematics

Forty-eight is a double factorial of 6, a highly composite number. Like all other multiples of 6, it is a semiperfect number.
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49 (forty-nine) is the natural number following 48 and preceding 50.

In mathematics

Forty-nine is the square of 7, it is a centered octagonal number.

49 is one of the two number with an aliquot sum of 8; the other being 10.
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50 (fifty) is the integer following 49 and preceding 51.
(the number fifty derives from the two numerical figures of both 0 and 5 placed in order from greatest to least)

In mathematics

Fifty
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This is a list of articles about numbers (not about numerals).

Rational numbers

Notable rational numbers

Natural numbers


0 1 2 3 4 5 6 7 8 9
10 11 12 13 14 15 16 17 18 19
20 21 22 23 24 25 26 27 28 29
30 31 32 33 34 35 36 37 38 39
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The integers (from the Latin integer, which means with untouched integrity, whole, entire) are the set of numbers including the whole numbers (0, 1, 2, 3, …) and their negatives (0, −1, −2, −3, …).
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0 (zero) is both a number and a numerical digit used to represent that number in numerals. It plays a central role in mathematics as the additive identity of the integers, real numbers, and many other algebraic structures.
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10 (ten) is an even natural number following 9 and preceding 11.

0

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30 (thirty) is the natural number following 29 and preceding 31.

In mathematics

It is a primorial as well as the sum of the squares of the integers 1, 2, 3 and 4. It is the smallest Giuga number.
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50 (fifty) is the integer following 49 and preceding 51.
(the number fifty derives from the two numerical figures of both 0 and 5 placed in order from greatest to least)

In mathematics

Fifty
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60 (sixty) is the natural number following 59 and preceding 61. Being thrice twenty, 60 is called "three score" in some older literature.

In mathematics

Sixty
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70 (seventy) is the natural number following 69 and preceding 71. The French do not have a word for 70, instead using "soixante-dix" (60 + 10). Other French-speaking countries such as Belgium and Switzerland do have a word for it, using "septante.
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80 (eighty) is the natural number following 79 and preceding 81.

In mathematics

The sum of Euler's totient function φ(x) over the first sixteen integers is 80.

Adding up some subsets of its divisors (e.g.
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90 (ninety) is the natural number preceded by 89 and followed by 91.

In mathematics

90 is the sum of the squares of the integers 2 to 6. Because 90 is the sum of its unitary divisors (excluding itself), it is a unitary perfect number, and because it is equal
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100 (one hundred) (the Roman numeral is C for centum) is the natural number following 99 and preceding 101.

In mathematics

One hundred is the square of 10 (in scientific notation it is written as ).
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cardinal numbers, or cardinals for short, are a generalized kind of number used to denote the size of a set, known as its cardinality. For finite sets the cardinality is given by a natural number, being simply the number of elements in the set.
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ordinal, ordinal number, and transfinite ordinal number refer to a type of number introduced by Georg Cantor in 1897, to accommodate infinite sequences and to classify sets with certain kinds of order structures on them.
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factorization (British English: also factorisation) or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.
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