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118 (number) 
Summary
118 (one hundred [and] eighteen) is the natural number following 117 and preceding 119.
| ||||
|---|---|---|---|---|
| Cardinal | one hundred eighteen | |||
| Ordinal | 118th (one hundred eighteenth) | |||
| Factorization | 2 × 59 | |||
| Divisors | 1, 2, 59, 118 | |||
| Greek numeral | ΡΙΗ´ | |||
| Roman numeral | CXVIII, cxviii | |||
| Binary | 11101102 | |||
| Ternary | 111013 | |||
| Senary | 3146 | |||
| Octal | 1668 | |||
| Duodecimal | 9A12 | |||
| Hexadecimal | 7616 | |||
In mathematics
editThere is no answer to the equation φ(x) = 118, making 118 a nontotient.[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.[2]
Because of its expression as 118 = 35 − 53, it is a Leyland number of the second kind.[3]
118!! - 1 is a prime number, where !! denotes the double factorial (the product of even integers up to 118).[4]
See also
editReferences
edit
Wikimedia Commons has media related to 118 (number).
- ^ Sloane, N. J. A. (ed.). "Sequence A005277 (Nontotients)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 134 - 135
- ^ Sloane, N. J. A. (ed.). "Sequence A045575 (Nonnegative numbers of the form x^y - y^x, for x,y > 1)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Sloane, N. J. A. (ed.). "Sequence A007749 (Numbers k such that k!! - 1 is prime)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-05-24.