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词条 114 (number)
释义

  1. In mathematics

  2. In other fields

  3. See also

  4. References

{{Refimprove|date=May 2014}}{{Infobox number
| number = 114
| divisor = 1, 2, 3, 6, 19, 38, 57, 114
}}

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 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 Surahs (Chapters) in the Quran (Holy book of Islam)
  • The maximum number of points a team can obtain in one season in the Premier League.

See also

  • 114 (year)
  • List of highways numbered 114
  • CRM 114 (device)
  • CRM114 (program)

References

1. ^{{Cite web|url=https://oeis.org/A007304|title=Sloane's A007304 : Sphenic numbers|last=|first=|date=|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-26}}
2. ^{{Cite web|url=https://oeis.org/A005349|title=Sloane's A005349 : Niven (or Harshad) numbers|last=|first=|date=|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-26}}
3. ^{{Cite web|url=https://oeis.org/A005277|title=Sloane's A005277 : Nontotients|last=|first=|date=|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-26}}
4. ^{{Cite web|url=https://oeis.org/A000931|title=Sloane's A000931 : Padovan sequence|last=|first=|date=|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-26}}
{{Integers|1}}{{DEFAULTSORT:114 (Number)}}

2 : Integers|Communications in Mauritius

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