114 (number)
Encyclopedia
114 is the natural number
Natural number
In mathematics, the natural numbers are the ordinary whole numbers used for counting and ordering . These purposes are related to the linguistic notions of cardinal and ordinal numbers, respectively...

 following 113
113 (number)
113 is the natural number following 112 and preceding 114.-In mathematics:One hundred [and] thirteen is the 30th prime number, following 109 and preceding 127, a Sophie Germain prime, a Chen prime and a Proth prime as it is a prime number of the form 7 × 24 + 1...

 and preceding 115
115 (number)
115 is the natural number following 114 and preceding 116.-In mathematics:115 is a heptagonal pyramidal number and a lucky number....

.

In mathematics

  • One hundred [and] fourteen is an abundant number, a sphenic number
    Sphenic number
    In number theory, a sphenic number is a positive integer which is the product of three distinct prime numbers.Note that this definition is more stringent than simply requiring the integer to have exactly three prime factors; e.g. 60 = 22 × 3 × 5 has exactly 3 prime factors, but is not sphenic.All...

     and a Harshad number
    Harshad number
    A Harshad number, or Niven number in a given number base, is an integer that is divisible by the sum of its digits when written in that base. Harshad numbers were defined by D. R. Kaprekar, a mathematician from India. The word "Harshad" comes from the Sanskrit + , meaning joy-giver. The Niven...

    . 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
    Euler's totient function
    In number theory, the totient \varphi of a positive integer n is defined to be the number of positive integers less than or equal to n that are coprime to n In number theory, the totient \varphi(n) of a positive integer n is defined to be the number of positive integers less than or equal to n that...

    (x) = 114, making 114 a nontotient
    Nontotient
    In number theory, a nontotient is a positive integer n which is not in the range of Euler's totient function φ, that is, for which φ = n has no solution. In other words, n is a nontotient if there is no integer x that has exactly n coprimes below it. All odd numbers are nontotients, except 1,...

    .

  • 114 appears in the Padovan sequence
    Padovan sequence
    The Padovan sequence is the sequence of integers P defined by the initial valuesP=P=P=1,and the recurrence relationP=P+P.The first few values of P are...

    , preceded by the terms 49, 65, 86 (it is the sum of the first two of these).

  • 114 is a repdigit
    Repdigit
    In recreational mathematics, a repdigit is a natural number composed of repeated instances of the same digit, most often in the decimal numeral system....

     in base 7 (222).

In other fields

One hundred [and] fourteen is also:
  • The Quran, the holy book of Islam contains 114 chapters, or suras.
  • Cadmium
    Cadmium
    Cadmium is a chemical element with the symbol Cd and atomic number 48. This soft, bluish-white metal is chemically similar to the two other stable metals in group 12, zinc and mercury. Similar to zinc, it prefers oxidation state +2 in most of its compounds and similar to mercury it shows a low...

    -114m is a radioisotope and nuclear isomer
    Nuclear isomer
    A nuclear isomer is a metastable state of an atomic nucleus caused by the excitation of one or more of its nucleons . "Metastable" refers to the fact that these excited states have half-lives more than 100 to 1000 times the half-lives of the other possible excited nuclear states...

     with a halflife of 14.1 years
  • Ununquadium
    Ununquadium
    Ununquadium is the temporary name of a radioactive chemical element with the temporary symbol Uuq and atomic number 114. There is no proposed name yet, although flerovium has been discussed in the media.About 80 decays of atoms of...

     is the element
    Chemical element
    A chemical element is a pure chemical substance consisting of one type of atom distinguished by its atomic number, which is the number of protons in its nucleus. Familiar examples of elements include carbon, oxygen, aluminum, iron, copper, gold, mercury, and lead.As of November 2011, 118 elements...

     with the highest number of protons yet discovered.
  • G.114
    G.114
    G.114 is an ITU recommendation that addresses acceptable delays for voice applications, is oriented to national telecommunications and is more stringent than what is normally applied in private voice networks.One of the things it addresses is voice delay...

     is an ITU
    International Telecommunication Union
    The International Telecommunication Union is the specialized agency of the United Nations which is responsible for information and communication technologies...

     recommendation for acceptable delays for voice application in telecommunications
  • The police
    Police
    The police is a personification of the state designated to put in practice the enforced law, protect property and reduce civil disorder in civilian matters. Their powers include the legitimized use of force...

     non-emergency number in Denmark
    Denmark
    Denmark is a Scandinavian country in Northern Europe. The countries of Denmark and Greenland, as well as the Faroe Islands, constitute the Kingdom of Denmark . It is the southernmost of the Nordic countries, southwest of Sweden and south of Norway, and bordered to the south by Germany. Denmark...

  • The fire
    Fire
    Fire is the rapid oxidation of a material in the chemical process of combustion, releasing heat, light, and various reaction products. Slower oxidative processes like rusting or digestion are not included by this definition....

     emergency telephone number in Vietnam
    Vietnam
    Vietnam – sometimes spelled Viet Nam , officially the Socialist Republic of Vietnam – is the easternmost country on the Indochina Peninsula in Southeast Asia. It is bordered by China to the north, Laos to the northwest, Cambodia to the southwest, and the South China Sea –...

  • The medical emergency/ambulance number in Mauritius
    Mauritius
    Mauritius , officially the Republic of Mauritius is an island nation off the southeast coast of the African continent in the southwest Indian Ocean, about east of Madagascar...

  • The Animal Cops
    Animal Cops
    Animal Cops may refer to several reality television series that are originally produced in the United States for Animal Planet, including the following:*Animal Cops: Detroit *Animal Cops: Houston...

     emergency telephone number in the Netherlands
    Netherlands
    The Netherlands is a constituent country of the Kingdom of the Netherlands, located mainly in North-West Europe and with several islands in the Caribbean. Mainland Netherlands borders the North Sea to the north and west, Belgium to the south, and Germany to the east, and shares maritime borders...

  • The exit number on the Garden State Parkway
    Garden State Parkway
    The Garden State Parkway is a 172.4-mile limited-access toll parkway that stretches the length of New Jersey from the New York line at Montvale, New Jersey, to Cape May at New Jersey's southernmost tip. Its name refers to New Jersey's nickname, the "Garden State." Most New Jersey residents refer...

     in New Jersey that leads to the Bell Labs
    Bell Labs
    Bell Laboratories is the research and development subsidiary of the French-owned Alcatel-Lucent and previously of the American Telephone & Telegraph Company , half-owned through its Western Electric manufacturing subsidiary.Bell Laboratories operates its...

     Crawford Hill
    Crawford Hill
    Crawford Hill is located in Holmdel Township, New Jersey, United States. It is Monmouth County's highest point, standing at least 380 feet above sea level...

     location where the cosmic microwave background radiation
    Cosmic microwave background radiation
    In cosmology, cosmic microwave background radiation is thermal radiation filling the observable universe almost uniformly....

     was discovered using the Holmdel Horn Antenna.

See also

  • 114
    114
    Year 114 was a common year starting on Sunday of the Julian calendar. At the time, it was known as the Year of the Consulship of Hasta and Vopiscus...

     (year)
  • List of highways numbered 114
  • National longevity recordholders
    National longevity recordholders
    This is a list of oldest people by nation. It includes the individual, for each given country, who are reported to have had the longest lifespan. Such records can only be determined to the extent that the given country's records are reliable. Comprehensive birth registration largely came into being...

  • Oldest people
    Oldest people
    This is a list of tables of the verified oldest people in the world in ordinal rank, such as oldest person or oldest man. In these tables, a supercentenarian is considered 'verified' if his or her claim has been validated by an international body that specifically deals in longevity research, such...

  • CRM 114 (device)
    CRM 114 (device)
    The C.R.M. 114 Discriminator is a fictional piece of critical radio equipment in Stanley Kubrick's film Dr. Strangelove , the destruction of which prevents the crew of a B-52 from hearing the recall code that would stop them from dropping their atomic bombs on the U.S.S.R.- Real-life parallels...

  • CRM114 (program)
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