Number of the day: 9144

Properties of the number 9144:

9144 = 2³ × 3² × 127 is the 8010^th composite number and is not squarefree.
9144 has 3 distinct prime factors, 24 divisors, 5 antidivisors and 3024 totatives.
9144 has a Fibonacci digit product 144 in base 10.
9144 = 2287² - 2285² = 1145² - 1141² = 765² - 759² = 387² - 375² = 263² - 245² = 145² - 109² is the difference of 2 nonnegative squares in 6 ways.
9144 = 20² + 62² + 70² is the sum of 3 positive squares.
9144² is the sum of 3 positive squares.
9144 is a divisor of 19⁶ - 1.
9144 = '914' + '4' is the concatenation of 2 semiprime numbers.
9144 in base 26 = ddi and consists of only the digits 'd' and 'i'.

The number 9144 belongs to the following On-Line Encyclopedia of Integer Sequences (OEIS) sequences (among others):

Sequence numbers and descriptions below are taken from OEIS.
A042092: Numerators of continued fraction convergents to sqrt(570).
A055302: Triangle of labeled rooted trees with n nodes and k leaves, n>=1, 1<=k<=n.
A071223: Triangle T(n,k) (n >= 2, 1 <= k <= n) read by rows: number of linearly inducible orderings of n points in k-dimensional Euclidean space.
A095066: Number of fib001 primes (A095086) in range ]2^n,2^(n+1)].
A100250: Positions where values change in A100144.
A101976: Number of products of factorials not exceeding n!.
A200534: T(n,k)=Number of nXk 0..2 arrays with every row and column running average nondecreasing rightwards and downwards
A205926: T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the number of clockwise edge increases in every 2X2 subblock equal to one, and every 2X2 determinant nonzero
A213493: Number of (w,x,y) with all terms in {0,...,n} and the numbers w,x,y,|w-x|,|x-y|,|y-w| distinct.
A262876: Expansion of Product_{k>=1} 1/(1-x^(3k-1))^k.