ⓘ 114 (number)

                                     

ⓘ 114 (number)

  • 114 is a repdigit in base 7 222.
  • 114 is an abundant number, a sphenic number and a Harshad number. It is the sum of the first four hyperfactorials, including H0. 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.
  • 114 appears in the Padovan sequence, preceded by the terms 49, 65, 86 it is the sum of the first two of these.
  • There is no answer to the equation φx = 114, making 114 a nontotient.
                                     

1. In other fields

One hundred fourteen is also
  • G.114 is an ITU recommendation for acceptable delays for voice application in telecommunications
  • The online and telephone directory number in Israel.
  • The number of Surah Chapters in the Quran Holy book of Islam
  • Cadmium-114m is a radioisotope and nuclear isomer with a halflife of 14.1 years
  • The atomic number of flerovium
  • The maximum number of points a team can obtain in one season in the Premier League.
  • The medical emergency/ambulance number in Mauritius
  • The police non-emergency number in Denmark, Sweden and Germany
  • The number of logion in the Gospel of Thomas
  • The fire emergency telephone number in Vietnam