118 (number)

118 1, 2, 59, 118 118 (one hundred [and] eighteen) is the natural number following 117 and preceding 119. In mathematics There is no solution to the equation φ(x) = 118, making 118 a nontotient.A005277 Nontotients Four expressions for 118 as the sum of three positive integers have the same product: 14 + 50 + 54 = 15 + 40 + 63 = 18 + 30 + 70 = 21 + 25 + 72 = 118 and 14 × 50 × 54 = 15 × 40 × 63 = 18 × 30 × 70 = 21 × 25 × 72 = 37800. 118 is the smallest number that can be expressed as four sums with the same product in this way.Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 134 - 135 Because of its expression as 118 = 35 − 53, it is a Leyland number of the second kind.A045575 Nonnegative numbers of the form x^y - y^x, for x,y > 1 118!! - 1 is a prime number, where !! denotes the double factorial (the product of even integers up to 118).A007749 Numbers k such that k!! - 1 is prime 2022-05-24 In chemistry 2025, 118 elements have an official name assigned by IUPAC, the last of which (number 118) being oganesson.30 November 2016 IUPAC Announces the Names of the Elements 113, 115, 117, and 118 IUPAC https://iupac.org/iupac-announces-the-names-of-the-elements-113-115-117-and-118/ live 1 December 2015 https://web.archive.org/web/20161130185117/https://iupac.org/iupac-announces-the-names-of-the-elements-113-115-117-and-118/ 30 November 2016St. Fleur Nicholas 1 December 2016 Four New Names Officially Added to the Periodic Table of Elements The New York Times https://www.nytimes.com/2016/12/01/science/periodic-table-new-elements.html subscription 1 December 2016 See also 118 (disambiguation) References 1 Category:Integers