118 (number)

From Wikipedia, the free encyclopedia
Jump to: navigation, search
117 118 119
Cardinal one hundred eighteen
Ordinal 118th
(one hundred and eighteenth)
Factorization 2 × 59
Divisors 1, 2, 59, 118
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:

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]

  1. ^ Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 134 - 135
  2. ^ List of UK 118 directory enquiry services
  3. ^ [1]