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13242356424 = 23321131353419
BaseRepresentation
bin11000101010100111…
…00101001011001000
31021011212211101222100
430111103211023020
5204110020401144
610030005353400
7646105113063
oct142523451310
937155741870
1013242356424
115685a68420
122696a08860
13133066927b
148d8a158da
15527876269
hex3154e52c8

13242356424 has 96 divisors (see below), whose sum is σ = 39250879200. Its totient is φ = 3999939840.

The previous prime is 13242356381. The next prime is 13242356441. The reversal of 13242356424 is 42465324231.

13242356424 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 2 + 3 + 5 + 642 + 4 = 666.

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 Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221187 + ... + 274605.

It is an arithmetic number, because the mean of its divisors is an integer number (408863325).

Almost surely, 213242356424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13242356424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19625439600).

13242356424 is an abundant number, since it is smaller than the sum of its proper divisors (26008522776).

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

13242356424 is a wasteful number, since it uses less digits than its factorization.

13242356424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53755 (or 53748 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The spelling of 13242356424 in words is "thirteen billion, two hundred forty-two million, three hundred fifty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 313 396 626 792 939 1252 1878 2504 2817 3443 3756 5634 6886 7512 10329 11268 13772 20658 22536 27544 30987 41316 53419 61974 82632 106838 123948 160257 213676 247896 320514 427352 480771 587609 641028 961542 1175218 1282056 1762827 1923084 2350436 3525654 3846168 4700872 5288481 7051308 10576962 14102616 16720147 21153924 33440294 42307848 50160441 66880588 100320882 133761176 150481323 183921617 200641764 300962646 367843234 401283528 551764851 601925292 735686468 1103529702 1203850584 1471372936 1655294553 2207059404 3310589106 4414118808 6621178212 13242356424