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42413422194 = 2321113103159977
BaseRepresentation
bin100111100000000010…
…010111011001110010
311001110212100002100200
4213200002113121302
51143330314002234
631252350500030
73031021066053
oct474002273162
9131425302320
1042413422194
1116a952a8940
128278204616
133ccc08a630
1420a4d2272a
15118380ed99
hex9e0097672

42413422194 has 96 divisors (see below), whose sum is σ = 109010289024. Its totient is φ = 11748637440.

The previous prime is 42413422187. The next prime is 42413422199. The reversal of 42413422194 is 49122431424.

42413422194 is a `hidden beast` number, since 4 + 2 + 41 + 3 + 422 + 194 = 666.

It is not an unprimeable number, because it can be changed into a prime (42413422199) 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, 185134 + ... + 345110.

It is an arithmetic number, because the mean of its divisors is an integer number (1135523844).

Almost surely, 242413422194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42413422194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54505144512).

42413422194 is an abundant number, since it is smaller than the sum of its proper divisors (66596866830).

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

42413422194 is a wasteful number, since it uses less digits than its factorization.

42413422194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160112 (or 160109 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The spelling of 42413422194 in words is "forty-two billion, four hundred thirteen million, four hundred twenty-two thousand, one hundred ninety-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 103 117 143 198 206 234 286 309 429 618 858 927 1133 1287 1339 1854 2266 2574 2678 3399 4017 6798 8034 10197 12051 14729 20394 24102 29458 44187 88374 132561 159977 265122 319954 479931 959862 1439793 1759747 2079701 2879586 3519494 4159402 5279241 6239103 10558482 12478206 15837723 16477631 18717309 22876711 31675446 32955262 37434618 45753422 49432893 68630133 98865786 137260266 148298679 181253941 205890399 214209203 296597358 362507882 411780798 428418406 543761823 642627609 1087523646 1285255218 1631285469 1927882827 2356301233 3262570938 3855765654 4712602466 7068903699 14137807398 21206711097 42413422194