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133240410434034 = 232173892711412891
BaseRepresentation
bin11110010010111001110011…
…010101010110100111110010
3122110202122210021220222212100
4132102321303111112213302
5114431002330032342114
61151213444411241230
740031205403013211
oct3622716325264762
9573678707828770
10133240410434034
11394aaa39135322
1212b3aa73a49216
13594669450c387
1424c8c28063078
151060d4ecbd909
hex792e735569f2

133240410434034 has 96 divisors (see below), whose sum is σ = 306568742613120. Its totient is φ = 41677975411200.

The previous prime is 133240410433961. The next prime is 133240410434039. The reversal of 133240410434034 is 430434014042331.

133240410434034 is a `hidden beast` number, since 1 + 3 + 3 + 240 + 4 + 1 + 0 + 4 + 3 + 403 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 133240410434034.

It is not an unprimeable number, because it can be changed into a prime (133240410434039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322494729 + ... + 322907619.

It is an arithmetic number, because the mean of its divisors is an integer number (3193424402220).

Almost surely, 2133240410434034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133240410434034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153284371306560).

133240410434034 is an abundant number, since it is smaller than the sum of its proper divisors (173328332179086).

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

133240410434034 is a wasteful number, since it uses less digits than its factorization.

133240410434034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416016 (or 416013 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 133240410434034 its reverse (430434014042331), we get a palindrome (563674424476365).

The spelling of 133240410434034 in words is "one hundred thirty-three trillion, two hundred forty billion, four hundred ten million, four hundred thirty-four thousand, thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 389 778 1167 2334 2711 3501 5422 6613 7002 8133 13226 16266 19839 24399 39678 46087 48798 59517 92174 119034 138261 276522 412891 414783 825782 829566 1054579 1238673 2109158 2477346 3163737 3716019 6327474 7019147 7432038 9491211 14038294 17927843 18982422 21057441 35855686 42114882 53783529 63172323 107567058 126344646 160614599 161350587 321229198 322701174 481843797 963687594 1119347501 1445531391 2238695002 2730448183 2891062782 3358042503 5460896366 6716085006 8191344549 10074127509 16382689098 19028907517 20148255018 24574033647 38057815034 49148067294 57086722551 114173445102 171260167653 342520335306 435426177889 870852355778 1306278533667 2612557067334 3918835601001 7402245024113 7837671202002 14804490048226 22206735072339 44413470144678 66620205217017 133240410434034