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42125555304 = 2334723773907
BaseRepresentation
bin100111001110111000…
…001111011001101000
311000201210122221020000
4213032320033121220
51142233120232204
631204024503000
73020624212020
oct471670173150
9130653587200
1042125555304
1116957861218
1281b791aa60
133c8454a2b1
1420789caa80
1511683eb039
hex9cee0f668

42125555304 has 160 divisors (see below), whose sum is σ = 134937612480. Its totient is φ = 12027730176.

The previous prime is 42125555299. The next prime is 42125555359. The reversal of 42125555304 is 40355552124.

42125555304 is a `hidden beast` number, since 42 + 12 + 55 + 553 + 0 + 4 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10780119 + ... + 10784025.

It is an arithmetic number, because the mean of its divisors is an integer number (843360078).

Almost surely, 242125555304 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 42125555304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67468806240).

42125555304 is an abundant number, since it is smaller than the sum of its proper divisors (92812057176).

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

42125555304 is a wasteful number, since it uses less digits than its factorization.

42125555304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6309 (or 6296 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 42125555304 in words is "forty-two billion, one hundred twenty-five million, five hundred fifty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 2377 3907 4536 4754 7131 7814 9508 11721 14262 15628 16639 19016 21393 23442 27349 28524 31256 33278 35163 42786 46884 49917 54698 57048 64179 66556 70326 82047 85572 93768 99834 105489 109396 128358 133112 140652 149751 164094 171144 192537 199668 210978 218792 246141 256716 281304 299502 316467 328188 385074 399336 421956 449253 492282 513432 599004 632934 656376 738423 770148 843912 898506 984564 1198008 1265868 1347759 1476846 1540296 1797012 1969128 2215269 2531736 2695518 2953692 3594024 4430538 5391036 5907384 8861076 9286939 10782072 17722152 18573878 27860817 37147756 55721634 65008573 74295512 83582451 111443268 130017146 167164902 195025719 222886536 250747353 260034292 334329804 390051438 501494706 520068584 585077157 668659608 752242059 780102876 1002989412 1170154314 1504484118 1560205752 1755231471 2005978824 2340308628 3008968236 3510462942 4680617256 5265694413 6017936472 7020925884 10531388826 14041851768 21062777652 42125555304