118 (one hundred
ndeighteen) is the
natural number
In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country").
Numbers used for counting are called '' cardinal ...
following
117 117 may refer to:
*117 (number)
*AD 117
*117 BC
*117 (emergency telephone number)
*117 (MBTA bus)
* 117 (TFL bus)
*117 (New Jersey bus)
*''117°'', a 1998 album by Izzy Stradlin
*No. 117 (SPARTAN-II soldier ID), personal name John, the Master Chief ...
and preceding
119.
In mathematics
There is no answer to the equation
φ(''x'') = 118, making 118 a
nontotient
In number theory, a nontotient is a positive integer ''n'' which is not a totient number: it is not in the range of Euler's totient function φ, that is, the equation φ(''x'') = ''n'' has no solution ''x''. In other words, ''n'' is a nontotien ...
.
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.
Because of its expression as , it is a
Leyland number of the second kind.
118!! - 1 is a
prime number
A prime number (or a prime) is a natural number greater than 1 that is not a Product (mathematics), product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime ...
, where !! denotes the
double factorial
In mathematics, the double factorial or semifactorial of a number , denoted by , is the product of all the integers from 1 up to that have the same parity (odd or even) as . That is,
:n!! = \prod_^ (n-2k) = n (n-2) (n-4) \cdots.
For even , the ...
(the product of even integers up to 118).
In other fields
* There are 118 known elements, the 118th element being
oganesson.
See also
*
118 (disambiguation) 118 may refer to:
*118 (number)
*AD 118
*118 BC
*118 (TV series)
*118 (film)
*118 (Tees) Corps Engineer Regiment
*118 (Tees) Field Squadron, Royal Engineers
See also
*11/8 (disambiguation)
*Oganesson
Oganesson is a synthetic chemical element wi ...
References
{{Integers, 1
Integers