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144916464 = 24371139209
BaseRepresentation
bin10001010001100…
…11111111110000
3101002200112000110
420220303333300
5244044311324
622214021320
73406524660
oct1050637760
9332615013
10144916464
117488a980
1240647840
132403c0b4
14153641a0
15cac8329
hex8a33ff0

144916464 has 80 divisors (see below), whose sum is σ = 466755840. Its totient is φ = 37639680.

The previous prime is 144916459. The next prime is 144916489. The reversal of 144916464 is 464619441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15909 + ... + 23300.

It is an arithmetic number, because the mean of its divisors is an integer number (5834448).

Almost surely, 2144916464 is an apocalyptic number.

144916464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144916464 is an abundant number, since it is smaller than the sum of its proper divisors (321839376).

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

144916464 is a wasteful number, since it uses less digits than its factorization.

144916464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39238 (or 39232 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 144916464 is about 12038.1254354654. The cubic root of 144916464 is about 525.2578796581.

The spelling of 144916464 in words is "one hundred forty-four million, nine hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 39209 78418 117627 156836 235254 274463 313672 431299 470508 548926 627344 823389 862598 941016 1097852 1293897 1646778 1725196 1882032 2195704 2587794 3019093 3293556 3450392 4391408 5175588 6038186 6587112 6900784 9057279 10351176 12076372 13174224 18114558 20702352 24152744 36229116 48305488 72458232 144916464