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13142356326 = 2331122125179
BaseRepresentation
bin11000011110101100…
…00111000101100110
31020220220122212122000
430033112013011212
5203403420400301
610012034150130
7643452120441
oct141726070546
936826585560
1013142356326
115634576910
122669422346
131315a25708
148c9624658
1551dbc1786
hex30f587166

13142356326 has 32 divisors (see below), whose sum is σ = 31860259200. Its totient is φ = 3982532040.

The previous prime is 13142356319. The next prime is 13142356327. The reversal of 13142356326 is 62365324131.

13142356326 is a `hidden beast` number, since 1 + 3 + 14 + 2 + 3 + 5 + 632 + 6 = 666.

13142356326 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142356327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11061996 + ... + 11063183.

It is an arithmetic number, because the mean of its divisors is an integer number (995633100).

Almost surely, 213142356326 is an apocalyptic number.

13142356326 is an abundant number, since it is smaller than the sum of its proper divisors (18717902874).

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

13142356326 is a wasteful number, since it uses less digits than its factorization.

13142356326 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22125201 (or 22125195 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The spelling of 13142356326 in words is "thirteen billion, one hundred forty-two million, three hundred fifty-six thousand, three hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 22125179 44250358 66375537 132751074 199126611 243376969 398253222 486753938 597379833 730130907 1194759666 1460261814 2190392721 4380785442 6571178163 13142356326