114 (one hundred [and] fourteen) is the natural number following 113 and preceding 115.
| Cardinal | one hundred [and] fourteen |
| Ordinal | 114th |
| Factorization | ![]() |
| Divisors | 2, 3, 6, 19, 38, 57 |
| Roman numeral | CXIV |
| Binary | 1110010 |
| Hexadecimal | 72 |
In mathematics
One hundred [and] fourteen is an abundant number, a sphenic number and a Harshad number. It is the sum of the first three hyperfactorials. At 114, the Mertens function sets a new low of -6, a record that stands until 197.
There is no answer to the equation φ(x) = 114, making 114 a nontotient.
114 appears in the Padovan sequence, 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).
In other fields
114 is also:
- The atomic number of an element temporarily called ununquadium.
- The number of suras in the Qur'an, and the number of surat an-Nas
- The number of sayings of Jesus listed in the Gospel of Thomas
- Stanley Kubrick frequently referenced the number in his films.
- The year AD 114 or 114 BC.zh-yue:114
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