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13947134256 = 24331129101207
BaseRepresentation
bin11001111110101000…
…00110000100110000
31022222222222211102000
430333110012010300
5212030431244011
610223543254000
71002423453666
oct147724060460
938888884360
1013947134256
115a07880440
122852a4a300
13141368c283
14964474c36
1556968e356
hex33f506130

13947134256 has 160 divisors (see below), whose sum is σ = 45179251200. Its totient is φ = 4080625920.

The previous prime is 13947134231. The next prime is 13947134263. The reversal of 13947134256 is 65243174931.

13947134256 is a `hidden beast` number, since 1 + 394 + 7 + 1 + 3 + 4 + 256 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87205 + ... + 188411.

It is an arithmetic number, because the mean of its divisors is an integer number (282370320).

Almost surely, 213947134256 is an apocalyptic number.

13947134256 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 13947134256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22589625600).

13947134256 is an abundant number, since it is smaller than the sum of its proper divisors (31232116944).

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

13947134256 is a wasteful number, since it uses less digits than its factorization.

13947134256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101264 (or 101252 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 13947134256 in words is "thirteen billion, nine hundred forty-seven million, one hundred thirty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 29 33 36 44 48 54 58 66 72 87 88 99 108 116 132 144 174 176 198 216 232 261 264 297 319 348 396 432 464 522 528 594 638 696 783 792 957 1044 1188 1276 1392 1566 1584 1914 2088 2376 2552 2871 3132 3828 4176 4752 5104 5742 6264 7656 8613 11484 12528 15312 17226 22968 34452 45936 68904 101207 137808 202414 303621 404828 607242 809656 910863 1113277 1214484 1619312 1821726 2226554 2428968 2732589 2935003 3339831 3643452 4453108 4857936 5465178 5870006 6679662 7286904 8805009 8906216 10019493 10930356 11740012 13359324 14573808 17610018 17812432 20038986 21860712 23480024 26415027 26718648 30058479 32285033 35220036 40077972 43721424 46960048 52830054 53437296 60116958 64570066 70440072 79245081 80155944 96855099 105660108 120233916 129140132 140880144 158490162 160311888 193710198 211320216 240467832 258280264 290565297 316980324 387420396 422640432 480935664 516560528 581130594 633960648 774840792 871695891 1162261188 1267921296 1549681584 1743391782 2324522376 3486783564 4649044752 6973567128 13947134256