144 (number) Article Index for
144
 

Information About

144 (number)




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Cardinal One hundred {Link without Title}
forty four
Ordinal 144th
Factorization 2^4 \cdot 3^2
Divisor s2, 3, 4, 6, 8, 9, 12, 16,
18, 24, 36, 48, 72
Roman Numeral CXLIV
Binary 10010000
Octal 220
Duodecimal 100
Hexadecimal 90

144 is the Natural Number following 143 and preceding 145 . 144 is a dozen Dozen s, 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 and a Harshad Number .


IN OTHER FIELDS

144 is also:
  • The Atomic Number of unquadquadium. -->

  • 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 .