118 (number)

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← 117 118 119 →
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[edit]

There is no answer to the equation φ(x) = 118, making 118 a nontotient.

118 is the smallest n such that the range n, n + 1, ... 4n/3 contains at least one prime from each of these forms: 4x + 1, 4x - 1, 6x + 1 and 6x - 1.

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.[1]

In telephony[edit]

In other fields[edit]

One hundred and eighteen is also:

  • Oganesson, an element with atomic number 118
  • 118 (TV series), a 255-episode Singaporean television drama airing from 2014 to 2015

In dates[edit]

  • 118 can also represent the day January 18. The 118th day of the year is April 28, on regular years, on leap years it is April 27.

See also[edit]

References[edit]