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331134241104 = 24332557299771
BaseRepresentation
bin1001101000110010010…
…00111000100101010000
31011122201022111100102000
410310121020320211100
520411130331203404
6412042043554000
732631546415512
oct4643110704520
91148638440360
10331134241104
11118484712477
125421422b900
13252c21a2b94
141205407dbb2
158930b84339
hex4d19238950

331134241104 has 80 divisors (see below), whose sum is σ = 950852802240. Its totient is φ = 110334545280.

The previous prime is 331134241079. The next prime is 331134241117. The reversal of 331134241104 is 401142431133.

331134241104 is a `hidden beast` number, since 3 + 311 + 3 + 4 + 241 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 954739 + ... + 1254509.

It is an arithmetic number, because the mean of its divisors is an integer number (11885660028).

Almost surely, 2331134241104 is an apocalyptic number.

It is an amenable number.

331134241104 is an abundant number, since it is smaller than the sum of its proper divisors (619718561136).

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

331134241104 is a wasteful number, since it uses less digits than its factorization.

331134241104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302345 (or 302333 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 331134241104 its reverse (401142431133), we get a palindrome (732276672237).

The spelling of 331134241104 in words is "three hundred thirty-one billion, one hundred thirty-four million, two hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2557 5114 7671 10228 15342 20456 23013 30684 40912 46026 61368 69039 92052 122736 138078 184104 276156 299771 368208 552312 599542 899313 1104624 1199084 1798626 2398168 2697939 3597252 4796336 5395878 7194504 8093817 10791756 14389008 16187634 21583512 32375268 43167024 64750536 129501072 766514447 1533028894 2299543341 3066057788 4599086682 6132115576 6898630023 9198173364 12264231152 13797260046 18396346728 20695890069 27594520092 36792693456 41391780138 55189040184 82783560276 110378080368 165567120552 331134241104