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42233231052 = 223231432273877
BaseRepresentation
bin100111010101010010…
…111111011011001100
311001000022021102120200
4213111102333123030
51142443201343202
631222432413500
73023402353335
oct472522773314
9131008242520
1042233231052
1116a02615641
1282279a7290
133ca094a75c
14208901928c
151172ab9e1c
hex9d54bf6cc

42233231052 has 144 divisors (see below), whose sum is σ = 113288727552. Its totient is φ = 13244757120.

The previous prime is 42233230997. The next prime is 42233231093. The reversal of 42233231052 is 25013233224.

42233231052 is a `hidden beast` number, since 422 + 3 + 3 + 231 + 0 + 5 + 2 = 666.

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, 10891338 + ... + 10895214.

Almost surely, 242233231052 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 42233231052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56644363776).

42233231052 is an abundant number, since it is smaller than the sum of its proper divisors (71055496500).

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

42233231052 is a wasteful number, since it uses less digits than its factorization.

42233231052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4188 (or 4183 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 42233231052 its reverse (25013233224), we get a palindrome (67246464276).

The spelling of 42233231052 in words is "forty-two billion, two hundred thirty-three million, two hundred thirty-one thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 43 62 86 93 124 129 172 186 227 258 279 372 387 454 516 558 681 774 908 1116 1333 1362 1548 2043 2666 2724 3877 3999 4086 5332 7037 7754 7998 8172 9761 11631 11997 14074 15508 15996 19522 21111 23262 23994 28148 29283 34893 39044 42222 46524 47988 58566 63333 69786 84444 87849 117132 120187 126666 139572 166711 175698 240374 253332 302591 333422 351396 360561 480748 500133 605182 666844 721122 880079 907773 1000266 1081683 1210364 1442244 1500399 1760158 1815546 2000532 2163366 2640237 2723319 3000798 3520316 3631092 4326732 5168041 5280474 5446638 6001596 7920711 10336082 10560948 10893276 15504123 15841422 20672164 27282449 31008246 31682844 37843397 46512369 54564898 62016492 75686794 81847347 93024738 109129796 113530191 151373588 163694694 186049476 227060382 245542041 327389388 340590573 454120764 491084082 681181146 982168164 1173145307 1362362292 2346290614 3519435921 4692581228 7038871842 10558307763 14077743684 21116615526 42233231052