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144 number - In mathematics | | 144 number - In mathematics: Encyclopedia II - 144 number - 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 ...
See also:144 number, 144 number - In mathematics, 144 number - In other fields | | | 144 number, 144 number - In mathematics, 144 number - In other fields | | |
| | | 144 number: Encyclopedia II - 144 number - In mathematics
144 number - 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.
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 a Harshad number.
Other related archives>>, <<, 100, 110, 120, 121, 130, 140, 143, 144, 145, 150, 160, 169, 170, 180, 190, 1967, Euler, Fibonacci number, Harshad number, Holy Bible, Integers, Intel 8086, List of numbers, determinant, dozens, gross, highly totient number, natural number, square, φ function
 Adapted from the Wikipedia article "In mathematics", under the G.N U Free Docmentation License. Please also see http://en.wikipedia.org/wiki |
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