Search a number
-
+
42353343032 = 237111331170609
BaseRepresentation
bin100111011100011101…
…001011101000111000
311001022200021202020112
4213130131023220320
51143214423434112
631242403043452
73026361322130
oct473435135070
9131280252215
1042353343032
1116a643a3540
128260070588
133cbc7b3630
14209ad63ac0
15117d3e3a22
hex9dc74ba38

42353343032 has 128 divisors (see below), whose sum is σ = 110063923200. Its totient is φ = 14740531200.

The previous prime is 42353343029. The next prime is 42353343041. The reversal of 42353343032 is 23034335324.

It is a self number, because there is not a number n which added to its sum of digits gives 42353343032.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 162944 + ... + 333552.

It is an arithmetic number, because the mean of its divisors is an integer number (859874400).

Almost surely, 242353343032 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 42353343032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55031961600).

42353343032 is an abundant number, since it is smaller than the sum of its proper divisors (67710580168).

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

42353343032 is a wasteful number, since it uses less digits than its factorization.

42353343032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170677 (or 170673 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 32.

Adding to 42353343032 its reverse (23034335324), we get a palindrome (65387678356).

The spelling of 42353343032 in words is "forty-two billion, three hundred fifty-three million, three hundred forty-three thousand, thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 31 44 52 56 62 77 88 91 104 124 143 154 182 217 248 286 308 341 364 403 434 572 616 682 728 806 868 1001 1144 1364 1612 1736 2002 2387 2728 2821 3224 4004 4433 4774 5642 8008 8866 9548 11284 17732 19096 22568 31031 35464 62062 124124 170609 248248 341218 682436 1194263 1364872 1876699 2217917 2388526 3753398 4435834 4777052 5288879 7506796 8871668 9554104 10577758 13136893 15013592 15525419 17743336 21155516 24397087 26273786 31050838 37022153 42311032 48794174 52547572 58177669 62101676 68755427 74044306 97588348 105095144 116355338 124203352 137510854 148088612 170779609 195176696 232710676 275021708 296177224 341559218 407243683 465421352 481287989 550043416 683118436 756309697 814487366 962575978 1366236872 1512619394 1628974732 1925151956 3025238788 3257949464 3850303912 5294167879 6050477576 10588335758 21176671516 42353343032