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42530640030 = 236531188197
BaseRepresentation
bin100111100111000001…
…100001000010011110
311001210000220101000000
4213213001201002132
51144100320440110
631312135115130
73033643322034
oct474701410236
9131700811000
1042530640030
111704548a38a
1282ab512aa6
13401a44c0b8
1420b6716554
15118dc661c0
hex9e706109e

42530640030 has 112 divisors (see below), whose sum is σ = 118483438464. Its totient is φ = 10975590720.

The previous prime is 42530640017. The next prime is 42530640101. The reversal of 42530640030 is 3004603524.

42530640030 is a `hidden beast` number, since 4 + 253 + 0 + 6 + 400 + 3 + 0 = 666.

It is a super-2 number, since 2×425306400302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 42530639976 and 42530640003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 131892 + ... + 320088.

Almost surely, 242530640030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42530640030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59241719232).

42530640030 is an abundant number, since it is smaller than the sum of its proper divisors (75952798434).

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

42530640030 is a wasteful number, since it uses less digits than its factorization.

42530640030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188253 (or 188238 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 42530640030 in words is "forty-two billion, five hundred thirty million, six hundred forty thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 243 270 279 310 405 465 486 558 729 810 837 930 1215 1395 1458 1674 2430 2511 2790 3645 4185 5022 7290 7533 8370 12555 15066 22599 25110 37665 45198 75330 112995 188197 225990 376394 564591 940985 1129182 1693773 1881970 2822955 3387546 5081319 5645910 5834107 8468865 10162638 11668214 15243957 16937730 17502321 25406595 29170535 30487914 35004642 45731871 50813190 52506963 58341070 76219785 87511605 91463742 105013926 137195613 152439570 157520889 175023210 228659355 262534815 274391226 315041778 457318710 472562667 525069630 685978065 787604445 945125334 1371956130 1417688001 1575208890 2362813335 2835376002 4253064003 4725626670 7088440005 8506128006 14176880010 21265320015 42530640030