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42142402632 = 233112233132287
BaseRepresentation
bin100111001111111000…
…100000100001001000
311000202222100212102010
4213033320200201020
51142301423341012
631205425535520
73021220340421
oct471770404110
9130688325363
1042142402632
1116966318930
1282014a45a0
133c87b98725
14207ad34648
151169b27c3c
hex9cfe20848

42142402632 has 128 divisors (see below), whose sum is σ = 115868712960. Its totient is φ = 12667000320.

The previous prime is 42142402607. The next prime is 42142402693. The reversal of 42142402632 is 23620424124.

It is a self number, because there is not a number n which added to its sum of digits gives 42142402632.

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, 18425793 + ... + 18428079.

It is an arithmetic number, because the mean of its divisors is an integer number (905224320).

Almost surely, 242142402632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42142402632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57934356480).

42142402632 is an abundant number, since it is smaller than the sum of its proper divisors (73726310328).

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

42142402632 is a wasteful number, since it uses less digits than its factorization.

42142402632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2839 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 42142402632 its reverse (23620424124), we get a palindrome (65762826756).

The spelling of 42142402632 in words is "forty-two billion, one hundred forty-two million, four hundred two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 223 264 313 446 626 669 892 939 1252 1338 1784 1878 2287 2453 2504 2676 3443 3756 4574 4906 5352 6861 6886 7359 7512 9148 9812 10329 13722 13772 14718 18296 19624 20658 25157 27444 27544 29436 41316 50314 54888 58872 69799 75471 82632 100628 139598 150942 201256 209397 279196 301884 418794 510001 558392 603768 715831 767789 837588 1020002 1431662 1530003 1535578 1675176 2040004 2147493 2303367 2863324 3060006 3071156 4080008 4294986 4606734 5610011 5726648 6120012 6142312 7874141 8589972 9213468 11220022 12240024 15748282 16830033 17179944 18426936 22440044 23622423 31496564 33660066 44880088 47244846 62993128 67320132 94489692 134640264 159630313 188979384 319260626 478890939 638521252 957781878 1277042504 1755933443 1915563756 3511866886 3831127512 5267800329 7023733772 10535600658 14047467544 21071201316 42142402632