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13140962520 = 23357132711789
BaseRepresentation
bin11000011110100001…
…10010110011011000
31020220211001001200120
430033100302303120
5203403041300040
610011544233240
7643434224040
oct141720626330
936824031616
1013140962520
115633804704
122668a6b820
13131565818a
148c9380720
1551d9e87d0
hex30f432cd8

13140962520 has 128 divisors (see below), whose sum is σ = 45092505600. Its totient is φ = 3001130496.

The previous prime is 13140962519. The next prime is 13140962537. The reversal of 13140962520 is 2526904131.

It is a congruent number.

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, 1108786 + ... + 1120574.

It is an arithmetic number, because the mean of its divisors is an integer number (352285200).

Almost surely, 213140962520 is an apocalyptic number.

13140962520 is a gapful number since it is divisible by the number (10) 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 13140962520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22546252800).

13140962520 is an abundant number, since it is smaller than the sum of its proper divisors (31951543080).

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

13140962520 is a wasteful number, since it uses less digits than its factorization.

13140962520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13137 (or 13133 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 13140962520 in words is "thirteen billion, one hundred forty million, nine hundred sixty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 1327 2654 3981 5308 6635 7962 9289 10616 11789 13270 15924 18578 19905 23578 26540 27867 31848 35367 37156 39810 46445 47156 53080 55734 58945 70734 74312 79620 82523 92890 94312 111468 117890 139335 141468 159240 165046 176835 185780 222936 235780 247569 278670 282936 330092 353670 371560 412615 471560 495138 557340 660184 707340 825230 990276 1114680 1237845 1414680 1650460 1980552 2475690 3300920 4951380 9902760 15644003 31288006 46932009 62576012 78220015 93864018 109508021 125152024 156440030 187728036 219016042 234660045 312880060 328524063 375456072 438032084 469320090 547540105 625760120 657048126 876064168 938640180 1095080210 1314096252 1642620315 1877280360 2190160420 2628192504 3285240630 4380320840 6570481260 13140962520