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13271310240 = 253553521671
BaseRepresentation
bin11000101110000100…
…00001111110100000
31021020220022102010220
430113002001332200
5204134423411430
610032522123040
7646606163406
oct142702017640
937226272126
1013271310240
1156a03438a1
1226a4650480
131336665cc6
148dc7d1476
1552a195110
hex317081fa0

13271310240 has 96 divisors (see below), whose sum is σ = 42593475456. Its totient is φ = 3472235520.

The previous prime is 13271310139. The next prime is 13271310263. The reversal of 13271310240 is 4201317231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×132713102402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13271310240.

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, 235396 + ... + 286275.

It is an arithmetic number, because the mean of its divisors is an integer number (443682036).

Almost surely, 213271310240 is an apocalyptic number.

13271310240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13271310240 is an abundant number, since it is smaller than the sum of its proper divisors (29322165216).

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

13271310240 is a wasteful number, since it uses less digits than its factorization.

13271310240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521742 (or 521734 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

Adding to 13271310240 its reverse (4201317231), we get a palindrome (17472627471).

The spelling of 13271310240 in words is "thirteen billion, two hundred seventy-one million, three hundred ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 848 1060 1272 1590 1696 2120 2544 3180 4240 5088 6360 8480 12720 25440 521671 1043342 1565013 2086684 2608355 3130026 4173368 5216710 6260052 7825065 8346736 10433420 12520104 15650130 16693472 20866840 25040208 27648563 31300260 41733680 50080416 55297126 62600520 82945689 83467360 110594252 125201040 138242815 165891378 221188504 250402080 276485630 331782756 414728445 442377008 552971260 663565512 829456890 884754016 1105942520 1327131024 1658913780 2211885040 2654262048 3317827560 4423770080 6635655120 13271310240