114 (number)
| ||||
---|---|---|---|---|
Cardinal | one hundred fourteen | |||
Ordinal |
114th (one hundred and fourteenth) | |||
Factorization | 2 × 3 × 19 | |||
Divisors | 1, 2, 3, 6, 19, 38, 57, 114 | |||
Roman numeral | CXIV | |||
Binary | 11100102 | |||
Ternary | 110203 | |||
Quaternary | 13024 | |||
Quinary | 4245 | |||
Senary | 3106 | |||
Octal | 1628 | |||
Duodecimal | 9612 | |||
Hexadecimal | 7216 | |||
Vigesimal | 5E20 | |||
Base 36 | 3636 |
114 (one hundred [and] fourteen) is the natural number following 113 and preceding 115.
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.
- There is no answer to the equation φ(x) = 114, making 114 a nontotient.[3]
- 114 appears in the Padovan sequence,[4] 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
- One hundred [and] fourteen is also
- Cadmium-114m is a radioisotope and nuclear isomer with a halflife of 14.1 years
- The atomic number of flerovium
- G.114 is an ITU recommendation for acceptable delays for voice application in telecommunications
- The police non-emergency number in Denmark
- The fire emergency telephone number in Vietnam
- The medical emergency/ambulance number in Mauritius
- The online and telephone directory number in Israel.
- There are 114 Surahs (Chapters) in the Quran (Holy book of Islam)
See also
References
- ↑ "Sloane's A007304 : Sphenic numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
- ↑ "Sloane's A005349 : Niven (or Harshad) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
- ↑ "Sloane's A005277 : Nontotients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
- ↑ "Sloane's A000931 : Padovan sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-26.
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