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13023901344 = 253503269713
BaseRepresentation
bin11000010000100100…
…01111011010100000
31020121122202201221110
430020102033122200
5203133104320334
65552203223320
7640513222566
oct141022173240
936548681843
1013023901344
11558371a933
122635817b40
1312c731cacc
148b79cba36
155135c3ae9
hex30848f6a0

13023901344 has 48 divisors (see below), whose sum is σ = 34255835712. Its totient is φ = 4332653568.

The previous prime is 13023901339. The next prime is 13023901349. The reversal of 13023901344 is 44310932031.

It is an interprime number because it is at equal distance from previous prime (13023901339) and next prime (13023901349).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×130239013443 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13023901349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86569 + ... + 183144.

It is an arithmetic number, because the mean of its divisors is an integer number (713663244).

Almost surely, 213023901344 is an apocalyptic number.

It is an amenable number.

13023901344 is an abundant number, since it is smaller than the sum of its proper divisors (21231934368).

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

13023901344 is a wasteful number, since it uses less digits than its factorization.

13023901344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270229 (or 270221 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 13023901344 in words is "thirteen billion, twenty-three million, nine hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 503 1006 1509 2012 3018 4024 6036 8048 12072 16096 24144 48288 269713 539426 809139 1078852 1618278 2157704 3236556 4315408 6473112 8630816 12946224 25892448 135665639 271331278 406996917 542662556 813993834 1085325112 1627987668 2170650224 3255975336 4341300448 6511950672 13023901344