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42052003270004 = 22713229491962297
BaseRepresentation
bin10011000111110111111101…
…01101111000110101110100
312111220010120102002200201202
421203323332231320311310
521002440000314120004
6225234231255512032
711600104562045630
oct1143737655706564
9174803512080652
1042052003270004
1112443177609352
124871b62988618
131a6064391c400
14a55483765dc0
154cdd0839ab1e
hex263efeb78d74

42052003270004 has 144 divisors (see below), whose sum is σ = 94232253830400. Its totient is φ = 16058780494848.

The previous prime is 42052003269989. The next prime is 42052003270099. The reversal of 42052003270004 is 40007230025024.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 674993384 + ... + 675055680.

It is an arithmetic number, because the mean of its divisors is an integer number (654390651600).

Almost surely, 242052003270004 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 42052003270004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47116126915200).

42052003270004 is an abundant number, since it is smaller than the sum of its proper divisors (52180250560396).

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

42052003270004 is a wasteful number, since it uses less digits than its factorization.

42052003270004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67282 (or 67267 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

Adding to 42052003270004 its reverse (40007230025024), we get a palindrome (82059233295028).

The spelling of 42052003270004 in words is "forty-two trillion, fifty-two billion, three million, two hundred seventy thousand, four".

Divisors: 1 2 4 7 13 14 26 28 29 52 58 91 116 169 182 203 338 364 377 406 676 754 812 1183 1508 2366 2639 4732 4901 4919 5278 9802 9838 10556 19604 19676 34307 34433 62297 63947 68614 68866 124594 127894 137228 137732 142651 249188 255788 285302 436079 447629 570604 809861 831311 872158 895258 998557 1619722 1662622 1744316 1790516 1806613 1854463 1997114 3239444 3325244 3613226 3708926 3994228 5669027 5819177 7226452 7417852 10528193 11338054 11638354 12646291 12981241 21056386 22676108 23276708 23485969 24108019 25292582 25962482 42112772 46971938 48216038 50585164 51924964 73697351 93943876 96432076 147394702 164401783 168756133 294789404 305317597 306438943 328803566 337512266 610635194 612877886 657607132 675024532 1221270388 1225755772 2137223179 2145072601 3983706259 4274446358 4290145202 7967412518 8548892716 8580290404 8886729347 15934825036 17773458694 27885943813 35546917388 51788181367 55771887626 62207105429 103576362734 111543775252 115527481511 124414210858 207152725468 231054963022 248828421716 362517269569 462109926044 725034539138 808692370577 1450069078276 1501857259643 1617384741154 3003714519286 3234769482308 6007429038572 10513000817501 21026001635002 42052003270004