144 (number)

From Wikipedia, the free encyclopedia
← 143 144 145 →
← 140 141 142 143 144 145 146 147 148 149 →
List of numbers — Integers
← 0 100 200 300 400 500 600 700 800 900 →
Cardinalone hundred forty-four
Ordinal144th
(one hundred forty-fourth)
Factorization24 × 32
Divisors1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Greek numeralΡΜΔ´
Roman numeralCXLIV
Binary100100002
Ternary121003
Octal2208
Duodecimal10012
Hexadecimal9016

144 (one hundred [and] forty-four) is the natural number following 143 and preceding 145. 144 is a dozen dozens, or one gross.

In mathematics[]

144 is the twelfth Fibonacci number, and the largest one to also be a square,[1][2] as the square of 12 (which is also its index in the Fibonacci sequence), following 89 and preceding 233.

144 is the smallest number with exactly 15 divisors, but it is not highly composite since the smaller number 120 has 16 divisors.

144 is divisible by the value of its φ function, which returns 48 in this case. Also, there are 21 solutions to the equation φ(x) = 144, more than any integer below 144, making it a highly totient number.[3]

1445 = 275 + 845 + 1105 + 1335, the smallest number whose fifth power is a sum of four (smaller) fifth powers. This solution was found in 1966 by L. J. Lander and T. R. Parkin, and disproved Euler's sum of powers conjecture.

The maximum determinant in a 9 by 9 matrix of zeroes and ones is 144.

144 is in base 10 a sum-product number, as well as a Harshad number.[4] 144 is the sum of a twin prime pair (71 + 73)

In the military[]

In sports[]

  • College Hoops Net (CHN)[5] annual ranking of the Top 144 NCAA college basketball teams in 144 days
  • The CFL record for career touchdown receptions, held by Milt Stegall of the Winnipeg Blue Bombers

In transportation[]

  • 144 Auto Class ferries are proposed additions to the Washington State Ferries fleet
  • London Buses route 144 is a Transport for London contracted bus route in London
  • Sydney bus route 144 was the first government-operated bus route in Sydney, Australia
  • STS-144 was a proposed, now cancelled, Space Shuttle Columbia mission for November 2009 to retrieve the Hubble Space Telescope
  • British Rail Class 144 "Pacer" diesel multiple diesels built in 1986
  • Tupolev Tu-144 was the first supersonic transport aircraft (SST), constructed under the direction of the Soviet Tupolev

In other fields[]

144 is also:

  • The year AD 144 or 144 BC
  • 144 AH is a year in the Islamic calendar that corresponds to 761–762 AD.
  • 144 Vibilia is a dark, large Main belt asteroid
  • The measurement, in cubits, of the wall of New Jerusalem shown by the seventh angel (Bible, Revelation 21:17)
  • The Intel 8086 instruction for no operation (NOP)
  • The emergency phone number for animals in danger in the Netherlands.
  • The telephone number for directory assistance in Israel
  • The emergency telephone number for medical emergencies in Austria[6] and Switzerland.[7]
  • Psalm 144
  • Sonnet 144 by William Shakespeare
  • Rule 144A, of the U.S. Securities Act of 1933 deals with private resales of restricted securities
  • Form 144 (December 6, 2007), amends Rule 144 under the United States Securities Act of 1933 which regulates the resale of restricted securities and securities held by affiliates
  • Section 144 of Bangladesh Code of Criminal Procedure prohibits assembly of five or more persons, public meetings, and carrying firearms
  • The atomic number of unquadquadium, a temporary chemical element
  • 1:144 scale is a scale used for some scale models
  • The number of square inches in a square foot
  • Mahjong is usually played with a set of 144 tiles.
  • 144 (film), 2015 Indian Tamil film

See also[]

References[]

  1. ^ Bryan Bunch, The Kingdom of Infinite Number. New York: W. H. Freeman & Company (2000): 165
  2. ^ Cohn, J. H. E. (1964). "On square Fibonacci numbers". The Journal of the London Mathematical Society. 39: 537–540. doi:10.1112/jlms/s1-39.1.537. MR 0163867.
  3. ^ "Sloane's A097942 : Highly totient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  4. ^ "Sloane's A005349 : Niven (or Harshad) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  5. ^ College Hoops Net
  6. ^ Porter, Darwin; Danforth Prince (2009). Frommer's Austria. Hoboken, New Jersey: Frommer's. p. 482. ISBN 978-0-470-39897-5.
  7. ^ Erste Hilfe - Notfall Nummern
  • Wells, D. The Penguin Dictionary of Curious and Interesting Numbers. London: Penguin Group. (1987): 139–140.

External links[]

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