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.
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.
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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.
| Cardinal | 40 forty |
| Ordinal | 40th fortieth |
| Factorization | ![]() |
| Divisors | 1, 2, 4, 5, 8, 10, 20, 40 |
| Roman numeral | XL |
| Roman numeral (Unicode) | XL, xl |
| Binary | 101000 |
| Octal | 50 |
| Duodecimal | 34 |
| Hexadecimal | 28 |
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
- The atomic number of zirconium.
- Negative forty is the temperature at which the Fahrenheit and Celsius 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 the constellation Ursa Major
- The New General Catalogue object NGC 40, a magnitude 12.4 planetary nebula in the constellation Cepheus
- The Saros number of the
- solar eclipse series which began on -1653 May 28 and ended on -373 July 4. The duration of Saros series 40 was 1280.1 years, and it contained 72 solar eclipses.
- lunar eclipse series which began on -1387 February 12 and ended on -71 April 12. The duration of Saros series 40 was 1316.2 years, and it contained 74 lunar eclipses.
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:
- 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
- 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
- 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:- the caliber of the bullet in the .40 S&W handgun cartridge
- in the Saying "Life begins at forty"
- in the expression "forty winks", meaning a short sleep
- the distance run in the 40 yard dash in American football scouting
- A song by Dave Matthews Band
- the number of years of marriage as the ruby wedding anniversary
- the code for direct dial international phone calls to Romania
- the number in the designation of:
- Interstate 40, a freeway that runs from California to North Carolina
- U.S. Route 40, the 800-mile highway that runs from Baltimore, Maryland, to Vandalia, Illinois, being synonymous with the National Highway
- European route E40 from Calais to Ridder
- the A40 and M40, important highways in the UK. The A40 is a trunk road in England and Wales, connecting London to Fishguard. The M40 motorway is the second motorway in the British transport network to connect London to Birmingham
- "40", a 1983 song by U2 from their album War
- "40 Feet" is the title of a song by Franz Ferdinand
- The band Crush 40
- in the title of the Food Network show $40 a Day
- in the name of WD-40, a spray lubricant
- in the name of the food additive FD & C Red Dye #40, commonly known as "Red 40"
- the 40 ounce size used for liquor, typically fairly cheap malt beer; a person sometimes "pours a forty on the curb", i.e., pours out said bottle onto the street, in memory of a person who has died
- the number of thieves in Ali Baba and the Forty Thieves, from Thousand and One Nights (both the numbers 40 and 1001 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 classic Russian vodka is alcohol content 40 percent by volume
- the jersey number of Pat Tillman, which was retired by the Arizona Cardinals
- the number of wires in a Parallel ATA-cable
- Form 1040 (referred to as a "ten-forty") is a standard Internal Revenue Service form used to file for federal taxes in the United Sates
- UB40 is a form for those claiming unemployment benefits in the United Kingdom. The band UB40 was named after this form
- Rolling Stones CD "Forty Licks"
- David Stremme's Nextel Cup Series number for Chip Ganassi Racing
- For The Early Show segment "Chef on a Shoestring", chefs are given a $40 budget. Most chefs bring it in under. (For holidays they are given $80).
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.
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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)...... Click the link for more information.
41 (forty-one) is the natural number following 40 and preceding 42.
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In mathematics
Forty-one is the 13th smallest prime number. The next is forty-three, with which it comprises a twin prime...... Click the link for more information.
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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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.
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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)...... Click the link for more information.
41 (forty-one) is the natural number following 40 and preceding 42.
..... Click the link for more information.
In mathematics
Forty-one is the 13th smallest prime number. The next is forty-three, with which it comprises a twin prime...... Click the link for more information.
42 (forty-two) is the natural number following 41 and preceding 43.
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In mathematics
It is a composite number; its factorization makes it the second sphenic number and also the second of the form ...... Click the link for more information.
43 (forty-three) is the natural number following 42 and preceding 44.
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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...... Click the link for more information.
44 (forty-four) is the natural number following 43 and preceding 45.
The aliquot sequence of 44 is (44,40,50,43,1,0).
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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.
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In mathematics
Forty-five is a triangular number, a hexagonal and 16-gonal number, a Kaprekar number, and a Harshad number...... Click the link for more information.
46 (forty-six) is the natural number following 45 and preceding 47.
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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...... Click the link for more information.
47 (forty-seven) is the natural number following 46 and preceding 48.
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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...... Click the link for more information.
48 (forty-eight) is the natural number following 47 and preceding 49. It is one third of a gross or four dozens.
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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...... Click the link for more information.
49 (forty-nine) is the natural number following 48 and preceding 50.
49 is one of the two number with an aliquot sum of 8; the other being 10.
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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)
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(the number fifty derives from the two numerical figures of both 0 and 5 placed in order from greatest to least)
In mathematics
Fifty..... Click the link for more information.
This is a list of articles about numbers (not about numerals).
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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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.
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← 0
→
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30 (thirty) is the natural number following 29 and preceding 31.
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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...... Click the link for more information.
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)
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(the number fifty derives from the two numerical figures of both 0 and 5 placed in order from greatest to least)
In mathematics
Fifty..... Click the link for more information.
60 (sixty) is the natural number following 59 and preceding 61. Being thrice twenty, 60 is called "three score" in some older literature.
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In mathematics
Sixty..... Click the link for more information.
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.
Adding up some subsets of its divisors (e.g.
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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.
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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..... Click the link for more information.
100 (one hundred) (the Roman numeral is C for centum) is the natural number following 99 and preceding 101.
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In mathematics
One hundred is the square of 10 (in scientific notation it is written as )...... Click the link for more information.
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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