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33400346213442 = 231322735316133313
BaseRepresentation
bin1111001100000100111111…
…10001010111110001000010
311101021001010112222212111010
413212002133301113301002
513334212402112312232
6155011523543301350
710015044500331045
oct746023761276102
9141231115885433
1033400346213442
11a70800976843a
1238b526444a856
131583840238cc0
1483682a408c5c
153cdc465030cc
hex1e609fc57c42

33400346213442 has 128 divisors (see below), whose sum is σ = 72527619822336. Its totient is φ = 10193368154112.

The previous prime is 33400346213383. The next prime is 33400346213459. The reversal of 33400346213442 is 24431264300433.

It is a super-2 number, since 2×334003462134422 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 33400346213442.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10081599978 + ... + 10081603290.

It is an arithmetic number, because the mean of its divisors is an integer number (566622029862).

Almost surely, 233400346213442 is an apocalyptic number.

33400346213442 is an abundant number, since it is smaller than the sum of its proper divisors (39127273608894).

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

33400346213442 is a wasteful number, since it uses less digits than its factorization.

33400346213442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5524.

The product of its (nonzero) digits is 497664, while the sum is 39.

The spelling of 33400346213442 in words is "thirty-three trillion, four hundred billion, three hundred forty-six million, two hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 227 353 454 681 706 1059 1362 1613 2118 2951 3226 3313 4589 4839 5902 6626 8853 9178 9678 9939 13767 17706 19878 20969 27534 41938 43069 62907 80131 86138 125814 129207 160262 240393 258414 366151 480786 569389 732302 752051 1041703 1098453 1138778 1169489 1504102 1708167 2083406 2196906 2256153 2338978 3125109 3416334 3508467 4512306 4759963 5343869 6250218 7016934 7402057 9519926 9776663 10687738 14279889 14804114 15203357 16031607 19553326 22206171 28559778 29329989 30406714 32063214 44412342 45610071 58659978 69470297 91220142 129251303 138940594 208410891 258502606 265474003 387753909 416821782 530948006 775507818 796422009 1213058263 1592844018 1680266939 1886385757 2426116526 3360533878 3451162039 3639174789 3772771514 5040800817 5659157271 6902324078 7278349578 10081601634 10353486117 11318314542 15769757419 20706972234 24523014841 31539514838 47309272257 49046029682 73569044523 94618544514 147138089046 428209566839 856419133678 1284628700517 2569257401034 5566724368907 11133448737814 16700173106721 33400346213442