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144664872 = 233114789131
BaseRepresentation
bin10001001111101…
…10100100101000
3101002012201220020
420213312210220
5244013233442
622204400440
73404426322
oct1047664450
9332181806
10144664872
1174728950
1240546120
1323c81721
14152da612
15ca789ec
hex89f6928

144664872 has 128 divisors (see below), whose sum is σ = 410572800. Its totient is φ = 42099200.

The previous prime is 144664853. The next prime is 144664889. The reversal of 144664872 is 278466441.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1104247 + ... + 1104377.

It is an arithmetic number, because the mean of its divisors is an integer number (3207600).

Almost surely, 2144664872 is an apocalyptic number.

144664872 is a gapful number since it is divisible by the number (12) 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 144664872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205286400).

144664872 is an abundant number, since it is smaller than the sum of its proper divisors (265907928).

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

144664872 is a wasteful number, since it uses less digits than its factorization.

144664872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 144664872 is about 12027.6710962680. The cubic root of 144664872 is about 524.9537337913.

The spelling of 144664872 in words is "one hundred forty-four million, six hundred sixty-four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 89 94 131 132 141 178 188 262 264 267 282 356 376 393 517 524 534 564 712 786 979 1034 1048 1068 1128 1441 1551 1572 1958 2068 2136 2882 2937 3102 3144 3916 4136 4183 4323 5764 5874 6157 6204 7832 8366 8646 11528 11659 11748 12314 12408 12549 16732 17292 18471 23318 23496 24628 25098 33464 34584 34977 36942 46013 46636 49256 50196 67727 69954 73884 92026 93272 100392 128249 135454 138039 139908 147768 184052 203181 256498 270908 276078 279816 368104 384747 406362 512996 541816 547973 552156 769494 812724 1025992 1095946 1104312 1538988 1625448 1643919 2191892 3077976 3287838 4383784 6027703 6575676 12055406 13151352 18083109 24110812 36166218 48221624 72332436 144664872