116 (number)
Encyclopedia
116 is the natural number
following 115
and preceding 117
.
, meaning that there is no solution to the equation , where stands for Euler's totient function
. 116! + 1 is prime. There are 116 ternary Lyndon word
s of length six, and 116 irreducible polynomial
s of degree six over a three-element field, which form the basis of a free Lie algebra
of dimension 116. There are 116 different ways of partitioning the numbers from 1 through 5 into subsets in such a way that, for every k, the union of the first k subsets is a consecutive sequence of integers. There are 116 different 6×6 Costas array
s.
Natural number
In mathematics, the natural numbers are the ordinary whole numbers used for counting and ordering . These purposes are related to the linguistic notions of cardinal and ordinal numbers, respectively...
following 115
115 (number)
115 is the natural number following 114 and preceding 116.-In mathematics:115 is a heptagonal pyramidal number and a lucky number....
and preceding 117
117 (number)
117 is the natural number following 116 and preceding 118.-In mathematics:One hundred seventeen is the smallest possible length of the longest side of a Heronian tetrahedron .117 is a pentagonal number.In base 10, it is a Harshad number.-In other fields:One hundred seventeen is also:* The...
.
In mathematics
116 is a noncototientNoncototient
In mathematics, a noncototient is a positive integer n that cannot be expressed as the difference between a positive integer m and the number of coprime integers below it. That is, m − φ = n, where φ stands for Euler's totient function, has no solution for m...
, meaning that there is no solution to the equation , where stands for Euler's totient function
Euler's totient function
In number theory, the totient \varphi of a positive integer n is defined to be the number of positive integers less than or equal to n that are coprime to n In number theory, the totient \varphi(n) of a positive integer n is defined to be the number of positive integers less than or equal to n that...
. 116! + 1 is prime. There are 116 ternary Lyndon word
Lyndon word
In mathematics, in the areas of combinatorics and computer science, a Lyndon word is a string that is strictly smaller in lexicographic order than all of its rotations...
s of length six, and 116 irreducible polynomial
Irreducible polynomial
In mathematics, the adjective irreducible means that an object cannot be expressed as the product of two or more non-trivial factors in a given set. See also factorization....
s of degree six over a three-element field, which form the basis of a free Lie algebra
Free Lie algebra
In mathematics, a free Lie algebra, over a given field K, is a Lie algebra generated by a set X, without any imposed relations.-Definition:Given a set X, one can show that there exists a unique free Lie algebra L generated by X....
of dimension 116. There are 116 different ways of partitioning the numbers from 1 through 5 into subsets in such a way that, for every k, the union of the first k subsets is a consecutive sequence of integers. There are 116 different 6×6 Costas array
Costas array
In mathematics, a Costas array can be regarded geometrically as a set of n points lying on the squares of a n×n checkerboard, such that each row or column contains only one point, and that all of the n/2 displacement vectors between each pair of dots are distinct...
s.
In other fields
One hundred sixteen is also:- The prefix for several EU-wide telephone helplines designated as harmonised service of social valueHarmonised service of social valueA harmonised service of social value is a type of freephone service available in the European Union, which answers a specific social need, in particular which contributes to the well-being or safety of citizens, or particular groups of citizens, or helps citizens in difficulty...
- The atomic numberAtomic numberIn chemistry and physics, the atomic number is the number of protons found in the nucleus of an atom and therefore identical to the charge number of the nucleus. It is conventionally represented by the symbol Z. The atomic number uniquely identifies a chemical element...
of an element temporarily called ununhexiumUnunhexiumUnunhexium is the temporary name of a synthetic superheavy element with the temporary symbol Uuh and atomic number 116. There is no proposed name yet although moscovium has been discussed in the media.It is placed as the heaviest member of group 16 although a sufficiently stable isotope is... - The number of years that the Hundred Years' WarHundred Years' WarThe Hundred Years' War was a series of separate wars waged from 1337 to 1453 by the House of Valois and the House of Plantagenet, also known as the House of Anjou, for the French throne, which had become vacant upon the extinction of the senior Capetian line of French kings...
between FranceFranceThe French Republic , The French Republic , The French Republic , (commonly known as France , is a unitary semi-presidential republic in Western Europe with several overseas territories and islands located on other continents and in the Indian, Pacific, and Atlantic oceans. Metropolitan France...
and EnglandEnglandEngland is a country that is part of the United Kingdom. It shares land borders with Scotland to the north and Wales to the west; the Irish Sea is to the north west, the Celtic Sea to the south west, with the North Sea to the east and the English Channel to the south separating it from continental...
, from 1337 to 1453, actually lasted - The fireFireFire is the rapid oxidation of a material in the chemical process of combustion, releasing heat, light, and various reaction products. Slower oxidative processes like rusting or digestion are not included by this definition....
emergency telephone numberEmergency telephone numberMany countries' public telephone networks have a single emergency telephone number, sometimes known as the universal emergency telephone number or occasionally the emergency services number, that allows a caller to contact local emergency services for assistance. The emergency telephone number may...
in PeruPeruPeru , officially the Republic of Peru , is a country in western South America. It is bordered on the north by Ecuador and Colombia, on the east by Brazil, on the southeast by Bolivia, on the south by Chile, and on the west by the Pacific Ocean.... - The record for number of wins in a single season of Major League BaseballMajor League BaseballMajor League Baseball is the highest level of professional baseball in the United States and Canada, consisting of teams that play in the National League and the American League...
achieved by the Chicago CubsChicago CubsThe Chicago Cubs are a professional baseball team located in Chicago, Illinois. They are members of the Central Division of Major League Baseball's National League. They are one of two Major League clubs based in Chicago . The Cubs are also one of the two remaining charter members of the National...
in 1906 and the Seattle MarinersSeattle MarinersThe Seattle Mariners are a professional baseball team based in Seattle, Washington. Enfranchised in , the Mariners are a member of the Western Division of Major League Baseball's American League. Safeco Field has been the Mariners' home ballpark since July...
in 2001. - The number of pages in the Lost 116 pages, the original manuscript of what Joseph Smith, Jr. said was the translation of the Book of Lehi, of the Golden platesGolden PlatesAccording to Latter Day Saint belief, the golden plates are the source from which Joseph Smith, Jr. translated the Book of Mormon, a sacred text of the faith...
revealed to him in 1827
See also
- List of highways numbered 116
- National longevity recordholdersNational longevity recordholdersThis is a list of oldest people by nation. It includes the individual, for each given country, who are reported to have had the longest lifespan. Such records can only be determined to the extent that the given country's records are reliable. Comprehensive birth registration largely came into being...
- Oldest people
- 116th Street (Manhattan)116th Street (Manhattan)116th Street runs from Riverside Drive, overlooking the Hudson River, to the East River, through the New York City borough of Manhattan. It traverses the neighborhoods of Morningside Heights, Harlem, and Spanish Harlem; the street is interrupted between Morningside Heights and Harlem by Morningside...
- 116th Street Crew, a mafia crew named after the Manhattan street
- The 116 Clique116 CliqueThe 116 Clique is a Hip Hop and Christian Rap group from Dallas, Texas signed to Reach Records. It consists mainly of Reach Records' artists and several on other labels. The 116 Clique is named after the Bible verse Romans 1:16...
, a group of Christian rappers from Dallas, TXTexasTexas is the second largest U.S. state by both area and population, and the largest state by area in the contiguous United States.The name, based on the Caddo word "Tejas" meaning "friends" or "allies", was applied by the Spanish to the Caddo themselves and to the region of their settlement in...
named after the Bible verse Romans 1:16