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256331311104 = 2113113792781
BaseRepresentation
bin1110111010111010001…
…0010110100000000000
3220111122011120210012010
43232232202112200000
513144431303423404
6313431301332520
724343062123501
oct3565642264000
9814564523163
10256331311104
1199789384a70
1241818a07140
131b23099941b
14c599624ba8
156a03a98189
hex3bae896800

256331311104 has 96 divisors (see below), whose sum is σ = 745509229920. Its totient is φ = 77676134400.

The previous prime is 256331311069. The next prime is 256331311121. The reversal of 256331311104 is 401113133652.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1828807 + ... + 1963974.

It is an arithmetic number, because the mean of its divisors is an integer number (7765721145).

Almost surely, 2256331311104 is an apocalyptic number.

256331311104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256331311104 is an abundant number, since it is smaller than the sum of its proper divisors (489177918816).

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

256331311104 is a wasteful number, since it uses less digits than its factorization.

256331311104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792817 (or 3792797 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 256331311104 its reverse (401113133652), we get a palindrome (657444444756).

The spelling of 256331311104 in words is "two hundred fifty-six billion, three hundred thirty-one million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4224 5632 6144 8448 11264 16896 22528 33792 67584 3792781 7585562 11378343 15171124 22756686 30342248 41720591 45513372 60684496 83441182 91026744 121368992 125161773 166882364 182053488 242737984 250323546 333764728 364106976 485475968 500647092 667529456 728213952 970951936 1001294184 1335058912 1456427904 1941903872 2002588368 2670117824 2912855808 3883807744 4005176736 5340235648 5825711616 7767615488 8010353472 10680471296 11651423232 16020706944 21360942592 23302846464 32041413888 42721885184 64082827776 85443770368 128165655552 256331311104