114 (number)

← 113 114 115 →
← 110 111 112 113 114 115 116 117 118 119 → 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, cxiv
Binary	11100102
Ternary	110203
Senary	3106
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 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 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.)
• 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 other fields

One hundred [and] fourteen is also

• Cadmium-114m is a radioisotope and nuclear isomer with a half-life 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, 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.

See also

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