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144109056 = 2937131031
BaseRepresentation
bin10001001011011…
…10111000000000
3101001011111110110
420211232320000
5243342442211
622144431320
73366623010
oct1045567000
9331144413
10144109056
11743892a3
1240318540
1323b18740
14151d3c40
15c9b8ea6
hex896ee00

144109056 has 160 divisors (see below), whose sum is σ = 472969728. Its totient is φ = 37969920.

The previous prime is 144109037. The next prime is 144109057. The reversal of 144109056 is 650901441.

It is a happy number.

It is a super-2 number, since 2×1441090562 = 41534840042422272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144109057) 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, 139261 + ... + 140291.

Almost surely, 2144109056 is an apocalyptic number.

144109056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144109056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236484864).

144109056 is an abundant number, since it is smaller than the sum of its proper divisors (328860672).

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

144109056 is a wasteful number, since it uses less digits than its factorization.

144109056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 144109056 is about 12004.5431399950. The cubic root of 144109056 is about 524.2805637739.

The spelling of 144109056 in words is "one hundred forty-four million, one hundred nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 512 546 624 672 728 768 832 896 1031 1092 1248 1344 1456 1536 1664 1792 2062 2184 2496 2688 2912 3093 3328 3584 4124 4368 4992 5376 5824 6186 6656 7217 8248 8736 9984 10752 11648 12372 13403 14434 16496 17472 19968 21651 23296 24744 26806 28868 32992 34944 40209 43302 46592 49488 53612 57736 65984 69888 80418 86604 93821 98976 107224 115472 131968 139776 160836 173208 187642 197952 214448 230944 263936 281463 321672 346416 375284 395904 428896 461888 527872 562926 643344 692832 750568 791808 857792 923776 1125852 1286688 1385664 1501136 1583616 1715584 1847552 2251704 2573376 2771328 3002272 3431168 3695104 4503408 5146752 5542656 6004544 6862336 9006816 10293504 11085312 12009088 18013632 20587008 24018176 36027264 48036352 72054528 144109056