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144131460 = 223511218381
BaseRepresentation
bin10001001011101…
…00010110000100
3101001012122012020
420211310112010
5243344201320
622145123140
73400045224
oct1045642604
9331178166
10144131460
11743a4110
12403294b0
1323b259b5
14151dc084
15c9c0940
hex8974584

144131460 has 48 divisors (see below), whose sum is σ = 440258112. Its totient is φ = 34940800.

The previous prime is 144131453. The next prime is 144131467. The reversal of 144131460 is 64131441.

It is an interprime number because it is at equal distance from previous prime (144131453) and next prime (144131467).

It is a self number, because there is not a number n which added to its sum of digits gives 144131460.

It is not an unprimeable number, because it can be changed into a prime (144131467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108531 + ... + 109850.

It is an arithmetic number, because the mean of its divisors is an integer number (9172044).

Almost surely, 2144131460 is an apocalyptic number.

144131460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144131460 is an abundant number, since it is smaller than the sum of its proper divisors (296126652).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144131460 is a wasteful number, since it uses less digits than its factorization.

144131460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218404 (or 218402 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 144131460 is about 12005.4762504450. The cubic root of 144131460 is about 524.3077315625.

The spelling of 144131460 in words is "one hundred forty-four million, one hundred thirty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 218381 436762 655143 873524 1091905 1310286 2183810 2402191 2620572 3275715 4367620 4804382 6551430 7206573 9608764 12010955 13102860 14413146 24021910 28826292 36032865 48043820 72065730 144131460