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42142305159 = 3317196137883
BaseRepresentation
bin100111001111111000…
…001000101110000111
311000202222011220201000
4213033320020232013
51142301412231114
631205423504343
73021216453303
oct471770105607
9130688156630
1042142305159
1116966261679
1282014580b3
133c87b63256
14207ad0ad03
151169b08e09
hex9cfe08b87

42142305159 has 64 divisors (see below), whose sum is σ = 69707174400. Its totient is φ = 25006496256.

The previous prime is 42142305097. The next prime is 42142305167. The reversal of 42142305159 is 95150324124.

It is not a de Polignac number, because 42142305159 - 27 = 42142305031 is a prime.

It is a super-2 number, since 2×421423051592 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42142305199) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 5342032 + ... + 5349914.

It is an arithmetic number, because the mean of its divisors is an integer number (1089174600).

Almost surely, 242142305159 is an apocalyptic number.

42142305159 is a deficient number, since it is larger than the sum of its proper divisors (27564869241).

42142305159 is a wasteful number, since it uses less digits than its factorization.

42142305159 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8541 (or 8535 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 42142305159 in words is "forty-two billion, one hundred forty-two million, three hundred five thousand, one hundred fifty-nine".

Divisors: 1 3 9 17 19 27 51 57 153 171 323 459 513 613 969 1839 2907 5517 7883 8721 10421 11647 16551 23649 31263 34941 70947 93789 104823 134011 149777 197999 212841 281367 314469 402033 449331 593997 1206099 1347993 1781991 2546209 3618297 4043979 4832279 5345973 7638627 14496837 22915881 43490511 68747643 82148743 91813301 130471533 246446229 275439903 739338687 826319709 1560826117 2218016061 2478959127 4682478351 14047435053 42142305159