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114 (one hundred fourteen) is the natural number following 113 and preceding 115.

In mathematics

• 114 is an abundant number, a sphenic number and a Harshad number. 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 a + b + c, 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.)
• 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 religion

There are 114 chapters, or surahs, in the Quran.

There are 114 sayings in The Gospel of Thomas.

In science

114 is the atomic number of flerovium.

See also

• 114 (disambiguation)

References

1. Sloane, N. J. A. (ed.). "Sequence A007304 (Sphenic numbers: products of 3 distinct primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
2. Sloane, N. J. A. (ed.). "Sequence A005349 (Niven (or Harshad, or harshad) numbers: numbers that are divisible by the sum of their digits)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
3. Houston, Robin (2019-09-06). "42 is the answer to the question "what is (-80538738812075974) + 80435758145817515 + 12602123297335631?"". The Aperiodical. Retrieved 2019-12-28.
4. Sloane, N. J. A. (ed.). "Sequence A005277 (Nontotients: even numbers k such that phi(m) = k has no solution)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
5. Sloane, N. J. A. (ed.). "Sequence A000931 (Padovan sequence (or Padovan numbers): a(n) = a(n-2) + a(n-3) with a(0) = 1, a(1) = a(2) = 0)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.

• Integers