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404023415352012 = 2232314171912280883
BaseRepresentation
bin101101111011101010000100…
…0001001110010101011001100
31221222112021001111001221111200
41123313110020021302223030
5410424004423312231022
63551141443353145500
7151046504605100031
oct13367241011625314
91858467044057450
10404023415352012
11107809406108855
12393925403bb290
1314459324490861
1471aaba26b5388
1531a9899ae0bac
hex16f7508272acc

404023415352012 has 144 divisors (see below), whose sum is σ = 1081440890449920. Its totient is φ = 126974495174400.

The previous prime is 404023415351891. The next prime is 404023415352049. The reversal of 404023415352012 is 210253514320404.

It is a happy number.

404023415352012 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 2 + 3 + 415 + 35 + 201 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 26758123 + ... + 39039005.

It is an arithmetic number, because the mean of its divisors is an integer number (7510006183680).

Almost surely, 2404023415352012 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 404023415352012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540720445224960).

404023415352012 is an abundant number, since it is smaller than the sum of its proper divisors (677417475097908).

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

404023415352012 is a wasteful number, since it uses less digits than its factorization.

404023415352012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12281684 (or 12281679 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 404023415352012 its reverse (210253514320404), we get a palindrome (614276929672416).

The spelling of 404023415352012 in words is "four hundred four trillion, twenty-three billion, four hundred fifteen million, three hundred fifty-two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 41 62 82 93 123 124 164 186 246 279 369 372 492 558 719 738 1116 1271 1438 1476 2157 2542 2876 3813 4314 5084 6471 7626 8628 11439 12942 15252 22289 22878 25884 29479 44578 45756 58958 66867 88437 89156 117916 133734 176874 200601 265311 267468 353748 401202 530622 802404 913849 1061244 1827698 2741547 3655396 5483094 8224641 10966188 12280883 16449282 24561766 32898564 36842649 49123532 73685298 110527947 147370596 221055894 380707373 442111788 503516203 761414746 1007032406 1142122119 1510548609 1522829492 2014064812 2284244238 3021097218 3426366357 4531645827 4568488476 6042194436 6852732714 8829954877 9063291654 13705465428 15609002293 17659909754 18126583308 26489864631 31218004586 35319819508 46827006879 52979729262 62436009172 79469593893 93654013758 105959458524 140481020637 158939187786 187308027516 273728601187 280962041274 317878375572 362028149957 547457202374 561924082548 724056299914 821185803561 1086084449871 1094914404748 1448112599828 1642371607122 2172168899742 2463557410683 3258253349613 3284743214244 4344337799484 4927114821366 6516506699226 9854229642732 11222872648667 13033013398452 22445745297334 33668617946001 44891490594668 67337235892002 101005853838003 134674471784004 202011707676006 404023415352012