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42351431504 = 24411011793571
BaseRepresentation
bin100111011100010101…
…111000111101010000
311001022112200122010012
4213130111320331100
51143213431302004
631242254054052
73026336141144
oct473425707520
9131275618105
1042351431504
1116a63308368
12825b4aa328
133cbc294555
14209a9c7224
15117d16746e
hex9dc578f50

42351431504 has 80 divisors (see below), whose sum is σ = 85387659840. Its totient is φ = 20334720000.

The previous prime is 42351431503. The next prime is 42351431519. The reversal of 42351431504 is 40513415324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42351431503) 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 15 ways as a sum of consecutive naturals, for example, 11858039 + ... + 11861609.

It is an arithmetic number, because the mean of its divisors is an integer number (1067345748).

Almost surely, 242351431504 is an apocalyptic number.

It is an amenable number.

42351431504 is an abundant number, since it is smaller than the sum of its proper divisors (43036228336).

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

42351431504 is a wasteful number, since it uses less digits than its factorization.

42351431504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 42351431504 its reverse (40513415324), we get a palindrome (82864846828).

The spelling of 42351431504 in words is "forty-two billion, three hundred fifty-one million, four hundred thirty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 41 82 101 164 179 202 328 358 404 656 716 808 1432 1616 2864 3571 4141 7142 7339 8282 14284 14678 16564 18079 28568 29356 33128 36158 57136 58712 66256 72316 117424 144632 146411 289264 292822 360671 585644 639209 721342 741239 1171288 1278418 1442684 1482478 2342576 2556836 2885368 2964956 5113672 5770736 5929912 10227344 11859824 14787511 26207569 29575022 52415138 59150044 64560109 104830276 118300088 129120218 209660552 236600176 258240436 419321104 516480872 1032961744 2646964469 5293928938 10587857876 21175715752 42351431504