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(Wikipedia) - 14 (number)   (Redirected from XIV)
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← 13 14 15 →
← 10 11 12 13 14 15 16 17 18 19 → List of numbers — Integers ← 0 10 20 30 40 50 60 70 80 90 → Cardinal fourteen Ordinal 14th (fourteenth) Factorization 2 × 7 Divisors 1, 2, 7, 14 Roman numeral XIV Greek prefix tetrakaideca- Latin prefix quattuordec- Binary 11102 Ternary 1123 Quaternary 324 Quinary 245 Senary 226 Octal 168 Duodecimal 1212 Hexadecimal E16 Vigesimal E20 Base 36 E36

14 (fourteen /fɔərˈtiːn/) is the natural number following 13 and preceding 15.

In speech, the numbers 14 and 40 are often confused. When carefully enunciated, they differ in which syllable is stressed: 14 i/fɔərˈtiːn/ vs 40 /ˈfɔrti/. When being related to the word "four" (4), 14 is spelled "fourteen", and not "forteen". However, in dates such as 1492 or when contrasting numbers in the teens, such as 13, 14, 15, the stress shifts to the first syllable: 14 /ˈfɔərtiːn/.

Look up fourteen in Wiktionary, the free dictionary.


In mathematics

Fourteen is a composite number, its divisors being 1, 2, 7 and 14.

14 is the 3rd discrete semiprime (2.7) and the 3rd member of the (2.q) discrete semiprime family. The number following 14—15—is itself a discrete semiprime and this is the first such pair of discrete semiprimes. The next example is the pair commencing 21.

The aliquot sum σ(n) of 14 is 10, also a discrete semiprime and this is again the first example of a discrete semiprime having an aliquot sum in the same form. 14 has an aliquot sequence of 6 members (14,10,8,7,1,0) 14 is the third composite number in the 7-aliquot tree.

Fourteen is itself the Aliquot sum of two numbers; the discrete semiprime 22, and the square number 169.

Fourteen is the base of the tetradecimal notation.

In base fifteen and higher bases (such as hexadecimal), fourteen is represented as E.

Fourteen is the sum of the first three squares, which makes it a square pyramidal number.

This number is the lowest even n for which the equation φ(x) = n has no solution, making it the first even nontotient (see Euler''s totient function).

14 is a Catalan number, the only semiprime among all Catalan numbers.

Take a set of real numbers and apply the closure and complement operations to it in any possible sequence. At most 14 distinct sets can be generated in this way. This holds even if the reals are replaced by a more general topological space. See Kuratowski''s closure-complement problem.

Fourteen is a Keith number in base 10: 1, 4, 5, 9, 14, 23, 37, 60, 97, 157...

Fourteen is an open meandric number.

Fourteen is a Companion Pell number.

According to the Shapiro inequality 14 is the least number n such that there exist such that

where .

There are fourteen possible Bravais lattices that fill three-dimensional space.

The cuboctahedron, the truncated cube, and the truncated octahedron each have fourteen faces. The rhombic dodecahedron, which tessellates 3-dimensional space and is the dual of the cuboctahedron, has fourteen vertices. The truncated octahedron, which also tessellates 3-dimensional space, is the only permutohedron.

In science Chemistry Astronomy

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