118 (number)
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118 (one hundred [and] eighteen) is the natural number following 117 (number), 117 and preceding 119 (number), 119.


In mathematics

There is no answer to the equation Euler's totient function, φ(''x'') = 118, making 118 a nontotient. 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#Leyland_number_of_the_second_kind, Leyland number of the second kind. 118!! - 1 is a prime number, where !! denotes the double factorial (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)


References

{{Integers, 1 Integers