### Properties of the number 9144:

9144 = 2^{3}× 3

^{2}× 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 = 2287

^{2}- 2285

^{2}= 1145

^{2}- 1141

^{2}= 765

^{2}- 759

^{2}= 387

^{2}- 375

^{2}= 263

^{2}- 245

^{2}= 145

^{2}- 109

^{2}is the difference of 2 nonnegative squares in 6 ways.

9144 = 20

^{2}+ 62

^{2}+ 70

^{2}is the sum of 3 positive squares.

9144

^{2}is the sum of 3 positive squares.

9144 is a divisor of 19

^{6}- 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.

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