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404331303112 = 231129290354577
BaseRepresentation
bin1011110001001000000…
…01100001000011001000
31102122122112200100212121
411320210001201003020
523111032303144422
6505425223021024
741132464240612
oct5704401410310
91378575610777
10404331303112
11146526530550
126644189a774
132c188a9a9a9
14157d9517db2
15a7b6cb28c7
hex5e240610c8

404331303112 has 64 divisors (see below), whose sum is σ = 855870364800. Its totient is φ = 177385098240.

The previous prime is 404331303097. The next prime is 404331303127. The reversal of 404331303112 is 211303133404.

It is an interprime number because it is at equal distance from previous prime (404331303097) and next prime (404331303127).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7381168 + ... + 7435744.

It is an arithmetic number, because the mean of its divisors is an integer number (13372974450).

Almost surely, 2404331303112 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 404331303112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427935182400).

404331303112 is an abundant number, since it is smaller than the sum of its proper divisors (451539061688).

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

404331303112 is a wasteful number, since it uses less digits than its factorization.

404331303112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57526 (or 57522 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 404331303112 its reverse (211303133404), we get a palindrome (615634436516).

The spelling of 404331303112 in words is "four hundred four billion, three hundred thirty-one million, three hundred three thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 1276 2552 2903 5806 11612 23224 31933 54577 63866 84187 109154 127732 168374 218308 255464 336748 436616 600347 673496 926057 1200694 1582733 1852114 2401388 3165466 3704228 4802776 6330932 7408456 12661864 17410063 34820126 69640252 139280504 158437031 316874062 633748124 1267496248 1742807341 3485614682 4594673899 6971229364 9189347798 13942458728 18378695596 36757391192 50541412889 101082825778 202165651556 404331303112