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13141173888 = 273316722769
BaseRepresentation
bin11000011110100011…
…00110011010000000
31020220211102210122000
430033101212122000
5203403120031023
610011552544000
7643436064213
oct141721463200
936824383560
1013141173888
115633939497
122668b52000
13131570044b
148c93d777a
1551da3b243
hex30f466680

13141173888 has 128 divisors (see below), whose sum is σ = 39018672000. Its totient is φ = 4353970176.

The previous prime is 13141173839. The next prime is 13141173911. The reversal of 13141173888 is 88837114131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 565768 + ... + 588536.

It is an arithmetic number, because the mean of its divisors is an integer number (304833375).

Almost surely, 213141173888 is an apocalyptic number.

13141173888 is a gapful number since it is divisible by the number (18) 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 13141173888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19509336000).

13141173888 is an abundant number, since it is smaller than the sum of its proper divisors (25877498112).

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

13141173888 is a wasteful number, since it uses less digits than its factorization.

13141173888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22959 (or 22941 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The spelling of 13141173888 in words is "thirteen billion, one hundred forty-one million, one hundred seventy-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 167 192 216 288 334 384 432 501 576 668 864 1002 1152 1336 1503 1728 2004 2672 3006 3456 4008 4509 5344 6012 8016 9018 10688 12024 16032 18036 21376 22769 24048 32064 36072 45538 48096 64128 68307 72144 91076 96192 136614 144288 182152 192384 204921 273228 288576 364304 409842 546456 577152 614763 728608 819684 1092912 1229526 1457216 1639368 2185824 2459052 2914432 3278736 3802423 4371648 4918104 6557472 7604846 8743296 9836208 11407269 13114944 15209692 19672416 22814538 26229888 30419384 34221807 39344832 45629076 60838768 68443614 78689664 91258152 102665421 121677536 136887228 182516304 205330842 243355072 273774456 365032608 410661684 486710144 547548912 730065216 821323368 1095097824 1460130432 1642646736 2190195648 3285293472 4380391296 6570586944 13141173888