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144 (number)

FieldValue
number144
divisor1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

144 (one hundred [and] forty-four) is the natural number following 143 and preceding 145. It is coincidentally both the square of twelve (a dozen dozens, or one gross) and the twelfth Fibonacci number, and the only nontrivial number in the sequence that is square.

Mathematics

144 is a highly totient number.

144 is 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. It was famously published in a paper by both authors, whose body consisted of only two sentences:

144 is a square. (12²=144)

144° is two-fifths of a full turn. [[File:Frac68.svg|thumb|alt=The image shows 2 separate circles, both representing 2/5ths of a circle. The right circle first divides the circle with black lines into 5 and shades 2 of the parts. The left circle shows the same devided circle without black lines.|Two-fifths of a circle.]]

In other fields

  • 1:144 scale is a scale used for some scale models.
  • Several computers use 144Hz.

References

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.
  3. {{Cite OEIS. A097942. Highly totient numbers: each number k on this list has more solutions to the equation phi(x) equal to k than any preceding k.
  4. (1966). "Counterexample to Euler's conjecture on sums of like powers". [[American Mathematical Society]].
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