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CardinalOne hundred *
forty four
Ordinal144th
Factorization 2^4 \cdot 3^2
Divisors2, 3, 4, 6, 8, 9, 12, 16,
18, 24, 36, 48, 72
Roman numeralCXLIV
Binary10010000
Octal220
Duodecimal100
Hexadecimal90
144 is the natural number following 143 and preceding 145. 144 is a dozen dozens, or one gross.

In mathematics


It is the twelfth Fibonacci number, and the largest one to also be a square, as the square of 12 (which is also its index in the Fibonacci sequence), following 121 and preceding 169.

144 is the smallest number with exactly 15 divisors.

144 is a number that 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.

144^5 = 27^5 + 84^5 + 110^5 + 133^5, the smallest number whose fifth power is a sum of less than five (smaller) fifth powers. This solution was found in 1967 by L.J. Lander and T.R. Parkin, and disproved a conjecture by Euler.

The maximum determinant in an 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 and a Zuckerman number.

In other fields


144 is also:

  • The measurement, in cubits, of the wall of New Jerusalem shown by the seventh angel (Holy Bible, Revelation 21:17).
  • The Intel 8086 instruction for no operation (NOP).

For the year AD 144, see 144, see also 144 BC. Integers

144 (tal) | Ciento cuarenta y cuatro | 144 (nombre) | 144 | Centoquarantaquattro | 144 (getal) | 144 | 144 (število) | 144 (tal) | 144

 

This article is licensed under the GNU Free Documentation License. It uses material from the "144 (number)".

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