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). It is a Catalan number.
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.
Fourteen is a Keith number in base 10: 1, 4, 5, 9, 14...
The Saros number (http://sunearth.gsfc.nasa.gov/eclipse/SEsaros/SEsaros1-175.html) of the solar eclipse series which began on -2568July 31 and ended on -1035 February 6. The duration of Saros series 14 was 1532.5 years, and it contained 86 solar eclipses.
The Saros number (http://sunearth.gsfc.nasa.gov/eclipse/LEsaros/LEsaros1-175.html) of the lunar eclipse series which began on -2230June 1 and ended on -932 July 19. The duration of Saros series 14 was 1298.1 years, and it contained 73 lunar eclipses.
In other fields
Fourteen is:
A number representing good luck in South American countries
In traditional British units of weight, the number of pounds in a stone.
A number 'encoded' in a lot of the music of Johann Sebastian Bach. Bach may have considered this number a sort of signature, since given A = 1, B = 2, C = 3, etc., then B + A + C + H = 14 and J + S + B + A + C + H = 41.
The number of fonts included in a standard installation of Adobe Acrobat or Acrobat Reader (called "Base 14 fonts"). This set is the same as Base 13 fonts with the addition of Zapf Dingbats.
Louis XIV increased the power and influence of France in Europe, fighting three major wars—the Franco-Dutch War, the War of the League of Augsburg, and the War of the Spanish Succession—and two minor conflicts—the War of Devolution, and the War of the Reunions.
Louis XIV considered its construction one of the greatest achievements of his reign, which, along with the Chateau de Versailles, is one of the largest and most extravagant monuments in Europe, extolling a king and his country.
Thus Louis XIV's five-year-old great-grandson Louis, Duc d'Anjou, the younger son of the Duc de Bourgogne and Dauphin upon the death of his grandfather, father and elder brother, succeeded to the throne and was to reign as Louis XV of France.
In 92, XXI Rapax was destroyed by the Dacians and XIV Gemina was transferred to Pannonia to replace it, The legion was first stationed at Osijek, and later at Vindobona (modern Vienna), from which town it fought against the Suebes and Sarmatians.
XIV Gemina was among his staunchest supporters and a considerable part of the legion took part in his march on Rome, against Didius Julianus, who had in the meantime seized the throne.