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13117306944 = 263719513679
BaseRepresentation
bin11000011011101101…
…00011100001000000
31020212011112020100010
430031312203201000
5203331012310234
610005341224520
7643026161250
oct141566434100
936764466303
1013117306944
115621417945
122660b62140
131310794bb1
148c6183960
1551b8c46e9
hex30dda3840

13117306944 has 112 divisors (see below), whose sum is σ = 41751910400. Its totient is φ = 3550542336.

The previous prime is 13117306931. The next prime is 13117307003. The reversal of 13117306944 is 44960371131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×131173069442 (a number of 21 digits) contains 22 as substring.

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, 231304 + ... + 282375.

Almost surely, 213117306944 is an apocalyptic number.

13117306944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13117306944 is an abundant number, since it is smaller than the sum of its proper divisors (28634603456).

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

13117306944 is a wasteful number, since it uses less digits than its factorization.

13117306944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513720 (or 513710 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 13117306944 in words is "thirteen billion, one hundred seventeen million, three hundred six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1344 1596 1824 2128 3192 3648 4256 6384 8512 12768 25536 513679 1027358 1541037 2054716 3082074 3595753 4109432 6164148 7191506 8218864 9759901 10787259 12328296 14383012 16437728 19519802 21574518 24656592 28766024 29279703 32875456 39039604 43149036 49313184 57532048 58559406 68319307 78079208 86298072 98626368 115064096 117118812 136638614 156158416 172596144 204957921 230128192 234237624 273277228 312316832 345192288 409915842 468475248 546554456 624633664 690384576 819831684 936950496 1093108912 1639663368 1873900992 2186217824 3279326736 4372435648 6558653472 13117306944