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42410947432 = 23719414092377
BaseRepresentation
bin100111011111111000…
…111011001101101000
311001110200200100121211
4213133320323031220
51143324200304212
631252221442504
73030661051030
oct473770731550
9131420610554
1042410947432
1116a93968587
128277410434
133ccb702089
1420a487a8c0
1511834c19a7
hex9dfe3b368

42410947432 has 128 divisors (see below), whose sum is σ = 98277984000. Its totient is φ = 16751370240.

The previous prime is 42410947399. The next prime is 42410947433. The reversal of 42410947432 is 23474901424.

It is not an unprimeable number, because it can be changed into a prime (42410947433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17841028 + ... + 17843404.

It is an arithmetic number, because the mean of its divisors is an integer number (767796750).

Almost surely, 242410947432 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 42410947432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49138992000).

42410947432 is an abundant number, since it is smaller than the sum of its proper divisors (55867036568).

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

42410947432 is a wasteful number, since it uses less digits than its factorization.

42410947432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 42410947432 in words is "forty-two billion, four hundred ten million, nine hundred forty-seven thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 41 56 76 82 133 152 164 266 287 328 409 532 574 779 818 1064 1148 1558 1636 2296 2377 2863 3116 3272 4754 5453 5726 6232 7771 9508 10906 11452 15542 16639 16769 19016 21812 22904 31084 33278 33538 43624 45163 54397 62168 66556 67076 90326 97457 108794 117383 133112 134152 180652 194914 217588 234766 316141 318611 361304 389828 435176 469532 632282 637222 682199 779656 939064 972193 1264564 1274444 1364398 1851683 1944386 2230277 2529128 2548888 2728796 3703366 3888772 4460554 5457592 6805351 7406732 7777544 8921108 12961781 13610702 14813464 17842216 18471667 25923562 27221404 36943334 39859913 51847124 54442808 73886668 79719826 103694248 129301669 147773336 159439652 258603338 279019391 318879304 517206676 558038782 757338347 1034413352 1116077564 1514676694 2232155128 3029353388 5301368429 6058706776 10602736858 21205473716 42410947432