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42145000975 = 5271179431643
BaseRepresentation
bin100111010000000010…
…011010111000001111
311000210011020212200001
4213100002122320033
51142303110012400
631210001345131
73021251411650
oct472002327017
9130704225601
1042145000975
1116967833020
1282023381a7
133c885982cc
14207b40d527
151169e8ca6a
hex9d009ae0f

42145000975 has 96 divisors (see below), whose sum is σ = 66235760640. Its totient is φ = 25839216000.

The previous prime is 42145000949. The next prime is 42145000979. The reversal of 42145000975 is 57900054124.

It is not a de Polignac number, because 42145000975 - 215 = 42144968207 is a prime.

It is a super-2 number, since 2×421450009752 (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 (42145000979) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65544004 + ... + 65544646.

It is an arithmetic number, because the mean of its divisors is an integer number (689955840).

Almost surely, 242145000975 is an apocalyptic number.

42145000975 is a deficient number, since it is larger than the sum of its proper divisors (24090759665).

42145000975 is a wasteful number, since it uses less digits than its factorization.

42145000975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 42145000975 in words is "forty-two billion, one hundred forty-five million, nine hundred seventy-five", and thus it is an aban number.

Divisors: 1 5 7 11 25 35 55 77 79 175 275 385 395 431 553 643 869 1925 1975 2155 2765 3017 3215 4345 4501 4741 6083 7073 10775 13825 15085 16075 21725 22505 23705 30415 33187 34049 35365 49511 50797 75425 112525 118525 152075 165935 170245 176825 238343 247555 253985 277133 355579 374539 558767 829675 851225 1191715 1237775 1269925 1385665 1777895 1872695 1939931 2621773 2793835 3048463 3911369 5958575 6928325 8889475 9363475 9699655 13108865 13969175 15242315 19556845 21339241 21893507 48498275 65544325 76211575 97784225 106696205 109467535 153254549 240828577 533481025 547337675 766272745 1204142885 1685800039 3831363725 6020714425 8429000195 42145000975