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144000663 = 31094191051
BaseRepresentation
bin10001001010101…
…00011010010111
3101000221222202220
420211110122113
5243331010123
622142233423
73365662002
oct1045243227
9330858686
10144000663
1174314914
1240285873
1323aab2c1
14151a6539
15c996ce3
hex8954697

144000663 has 16 divisors (see below), whose sum is σ = 194409600. Its totient is φ = 94802400.

The previous prime is 144000641. The next prime is 144000683. The reversal of 144000663 is 366000441.

It is not a de Polignac number, because 144000663 - 26 = 144000599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144000613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136488 + ... + 137538.

It is an arithmetic number, because the mean of its divisors is an integer number (12150600).

Almost surely, 2144000663 is an apocalyptic number.

144000663 is a deficient number, since it is larger than the sum of its proper divisors (50408937).

144000663 is a wasteful number, since it uses less digits than its factorization.

144000663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 144000663 is about 12000.0276249682. The cubic root of 144000663 is about 524.1490832626.

Subtracting from 144000663 its product of nonzero digits (1728), we obtain a triangular number (143998935 = T16970).

The spelling of 144000663 in words is "one hundred forty-four million, six hundred sixty-three", and thus it is an aban number.

Divisors: 1 3 109 327 419 1051 1257 3153 45671 114559 137013 343677 440369 1321107 48000221 144000663