114 (number)
This article needs additional citations for verification. (May 2014) |
| ||||
---|---|---|---|---|
List of numbers — Integers ← 0 100 200 300 400 500 600 700 800 900 → | ||||
Cardinal | one hundred fourteen | |||
Ordinal | 114th (one hundred fourteenth) | |||
Factorization | 2 × 3 × 19 | |||
Divisors | 1, 2, 3, 6, 19, 38, 57, 114 | |||
Greek numeral | ΡΙΔ´ | |||
Roman numeral | CXIV | |||
Binary | 11100102 | |||
Ternary | 110203 | |||
Octal | 1628 | |||
Duodecimal | 9612 | |||
Hexadecimal | 7216 |
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.
- 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 φ(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).
In other fields[]
- One hundred [and] fourteen is also
- Cadmium-114m is a radioisotope and nuclear isomer with a half-life of 14.1 years[6]
- 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, Sweden and Germany
- The fire emergency telephone number in Vietnam
- The medical emergency/ambulance number in Mauritius
- The online and telephone directory number in Israel.
- The number of Surah (Chapters) in the Quran (Holy book of Islam)
- The number of logion in the Gospel of Thomas
- The maximum number of points a team can obtain in one season in the Premier League.
- Music Production 114 is the most used bpm tempo in AmaPiano Genre
See also[]
- AD 114 (year)
- List of highways numbered 114
- CRM 114 (device)
- CRM114 (program)
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.
- ^ Houston, Robin (2019-09-06). "42 is the answer to the question "what is (-80538738812075974)3 + 804357581458175153 + 126021232973356313?"". The Aperiodical. Retrieved 2019-12-28.
- ^ "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.
- ^ "Cadmium" (PDF). hpschapters.org. Retrieved 3 March 2021.
Categories:
- Integers