114 (number)
Natural number
From Wikipedia, the free encyclopedia
114 (one hundred [and] fourteen) is the natural number following 113 and preceding 115.
Cardinalone hundred fourteen
Ordinal114th
(one hundred fourteenth)
(one hundred fourteenth)
Factorization2 Ã 3 Ã 19
Divisors1, 2, 3, 6, 19, 38, 57, 114
| ||||
|---|---|---|---|---|
| Cardinal | one hundred fourteen | |||
| Ordinal | 114th (one hundred fourteenth) | |||
| Factorization | 2 Ã 3 Ã 19 | |||
| Divisors | 1, 2, 3, 6, 19, 38, 57, 114 | |||
| Greek numeral | ΡÎδ | |||
| Roman numeral | CXIV, cxiv | |||
| Binary | 11100102 | |||
| Ternary | 110203 | |||
| Senary | 3106 | |||
| Octal | 1628 | |||
| Duodecimal | 9612 | |||
| Hexadecimal | 7216 | |||
In mathematics
- 114 is an abundant number, a sphenic number[1] and a Harshad number.[2] It is the sum of the first four hyperfactorials, including H(0). At 114, the Mertens function sets a new low of -6, a record that stands until 197.
- 114 is the smallest positive integer* which has yet to be represented as a3 + b3 + c3, where a, b, and c are integers. It is conjectured that 114 can be represented this way. (*Excluding integers of the form 9k ± 4, for which solutions are known not to exist.)[3]
- There is no answer to the equation Ï(x) = 114, making 114 a nontotient.[4]
- 114 appears in the Padovan sequence,[5] preceded by the terms 49, 65, 86 (it is the sum of the first two of these).
- 114 is a repdigit in base 7 (222).
