PG and Ray; 144 interesting number
List of numbers -- Integers
<< 100 110 120 130 140 150 160 170 180 190 >>
Cardinal One hundred [and]
forty four
Ordinal 144th
Factorization
Divisors 2, 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 dozens, or one gross.
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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 f function, which returns 48 in this case. Also, there are 21 solutions to the equation f(x) = 144, more than any integer below 144, making it a highly totient number.
1445 = 275 + 845 + 1105 + 1335, 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).
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