118 (number)

Short description: Natural number

← 117 118 119 →
← 110 111 112 113 114 115 116 117 118 119 → List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 →
Cardinal	one hundred eighteen
Ordinal	118th (one hundred eighteenth)
Factorization	2 × 59
Divisors	1, 2, 59, 118
Greek numeral	ΡΙΗ´
Roman numeral	CXVIII
Binary	11101102
Ternary	111013
Quaternary	13124
Quinary	4335
Senary	3146
Octal	1668
Duodecimal	9A12
Hexadecimal	7616
Vigesimal	5I20
Base 36	3A36

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

In mathematics

There is no answer to the equation 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 118 = 3⁵ − 5³, it is a 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 on the Periodic Table, the 118th element being oganesson.

See also

• 118 (disambiguation)