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42004139904504 = 23333128409220811
BaseRepresentation
bin10011000110011110110011…
…10101101000110111111000
312111201120000201201210122000
421203033121311220313320
521001143434303421004
6225200234021501000
711563461513130161
oct1143173165506770
9174646021653560
1042004139904504
1112424945a26438
124864825571760
131a58c8672626b
14a53022ada768
154cc9563a7c39
hex2633d9d68df8

42004139904504 has 128 divisors (see below), whose sum is σ = 120446763264000. Its totient is φ = 13549184236800.

The previous prime is 42004139904491. The next prime is 42004139904553. The reversal of 42004139904504 is 40540993140024.

42004139904504 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 4 + 139 + 9 + 0 + 4 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42004139904504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190116259 + ... + 190337069.

It is an arithmetic number, because the mean of its divisors is an integer number (940990338000).

Almost surely, 242004139904504 is an apocalyptic number.

It is an amenable number.

42004139904504 is an abundant number, since it is smaller than the sum of its proper divisors (78442623359496).

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

42004139904504 is a wasteful number, since it uses less digits than its factorization.

42004139904504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249266 (or 249256 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 42004139904504 in words is "forty-two trillion, four billion, one hundred thirty-nine million, nine hundred four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 744 837 1116 1674 2232 3348 6696 28409 56818 85227 113636 170454 220811 227272 255681 340908 441622 511362 662433 681816 767043 880679 883244 1022724 1324866 1534086 1761358 1766488 1987299 2045448 2642037 2649732 3068172 3522716 3974598 5284074 5299464 5961897 6136344 6845141 7045432 7926111 7949196 10568148 11923794 13690282 15852222 15898392 20535423 21136296 23778333 23847588 27380564 31704444 41070846 47556666 47695176 54761128 61606269 63408888 82141692 95113332 123212538 164283384 184818807 190226664 246425076 369637614 492850152 739275228 1478550456 6273019699 12546039398 18819059097 25092078796 37638118194 50184157592 56457177291 75276236388 112914354582 150552472776 169371531873 194463610669 225828709164 338743063746 388927221338 451657418328 583390832007 677486127492 777854442676 1166781664014 1354972254984 1555708885352 1750172496021 2333563328028 3500344992042 4667126656056 5250517488063 7000689984084 10501034976126 14001379968168 21002069952252 42004139904504