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102440628312 = 233111672323549
BaseRepresentation
bin101111101100111101…
…1111111000001011000
3100210102021010002212220
41133121323333001120
53134244300101222
6115021030104040
710254400654641
oct1373173770130
9323367102786
10102440628312
113a4990782a0
1217a2b1ab020
139877351bc9
144d5b2586c8
1529e8638b5c
hex17d9eff058

102440628312 has 64 divisors (see below), whose sum is σ = 281056608000. Its totient is φ = 30856717440.

The previous prime is 102440628289. The next prime is 102440628341. The reversal of 102440628312 is 213826044201.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117687 + ... + 1205862.

It is an arithmetic number, because the mean of its divisors is an integer number (4391509500).

Almost surely, 2102440628312 is an apocalyptic number.

102440628312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102440628312 is an abundant number, since it is smaller than the sum of its proper divisors (178615979688).

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

102440628312 is a wasteful number, since it uses less digits than its factorization.

102440628312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323736 (or 2323732 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 102440628312 in words is "one hundred two billion, four hundred forty million, six hundred twenty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 167 264 334 501 668 1002 1336 1837 2004 3674 4008 5511 7348 11022 14696 22044 44088 2323549 4647098 6970647 9294196 13941294 18588392 25559039 27882588 51118078 55765176 76677117 102236156 153354234 204472312 306708468 388032683 613416936 776065366 1164098049 1552130732 2328196098 3104261464 4268359513 4656392196 8536719026 9312784392 12805078539 17073438052 25610157078 34146876104 51220314156 102440628312