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42052345146 = 23272287145933
BaseRepresentation
bin100111001010100000…
…111101110100111010
311000112200220110202200
4213022200331310322
51142110400021041
631152451411030
73016045015230
oct471240756472
9130480813680
1042052345146
111691a4a8359
1281972b3a76
133c72326586
14206cdb0950
151161c891b6
hex9ca83dd3a

42052345146 has 48 divisors (see below), whose sum is σ = 104175861504. Its totient is φ = 12009619872.

The previous prime is 42052345133. The next prime is 42052345147. The reversal of 42052345146 is 64154325024.

42052345146 is a `hidden beast` number, since 42 + 0 + 523 + 4 + 51 + 46 = 666.

It is a super-2 number, since 2×420523451462 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42052345146.

It is not an unprimeable number, because it can be changed into a prime (42052345147) 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 23 ways as a sum of consecutive naturals, for example, 215196 + ... + 361128.

It is an arithmetic number, because the mean of its divisors is an integer number (2170330448).

Almost surely, 242052345146 is an apocalyptic number.

42052345146 is an abundant number, since it is smaller than the sum of its proper divisors (62123516358).

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

42052345146 is a wasteful number, since it uses less digits than its factorization.

42052345146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148235 (or 148232 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 42052345146 in words is "forty-two billion, fifty-two million, three hundred forty-five thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 2287 4574 6861 13722 16009 20583 32018 41166 48027 96054 144081 145933 288162 291866 437799 875598 1021531 1313397 2043062 2626794 3064593 6129186 9193779 18387558 333748771 667497542 1001246313 2002492626 2336241397 3003738939 4672482794 6007477878 7008724191 14017448382 21026172573 42052345146