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42412001142 = 23729191182309
BaseRepresentation
bin100111011111111100…
…111100011101110110
311001110202122220001010
4213133330330131312
51143324433014032
631252300213050
73031003030050
oct473774743566
9131422586033
1042412001142
1116a94518215
12827783a186
133ccb9b0884
1420a4a728d0
15118362dccc
hex9dff3c776

42412001142 has 64 divisors (see below), whose sum is σ = 100810137600. Its totient is φ = 11638542720.

The previous prime is 42412001123. The next prime is 42412001167. The reversal of 42412001142 is 24110021424.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141484 + ... + 323792.

It is an arithmetic number, because the mean of its divisors is an integer number (1575158400).

Almost surely, 242412001142 is an apocalyptic number.

42412001142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42412001142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50405068800).

42412001142 is an abundant number, since it is smaller than the sum of its proper divisors (58398136458).

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

42412001142 is a wasteful number, since it uses less digits than its factorization.

42412001142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182541.

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 42412001142 its reverse (24110021424), we get a palindrome (66522022566).

The spelling of 42412001142 in words is "forty-two billion, four hundred twelve million, one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 191 203 382 406 573 609 1146 1218 1337 2674 4011 5539 8022 11078 16617 33234 38773 77546 116319 182309 232638 364618 546927 1093854 1276163 2552326 3828489 5286961 7656978 10573922 15860883 31721766 34821019 37008727 69642038 74017454 104463057 111026181 208926114 222052362 243747133 487494266 731241399 1009809551 1462482798 2019619102 3029428653 6058857306 7068666857 14137333714 21206000571 42412001142