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42239105604 = 22326739744111
BaseRepresentation
bin100111010101101001…
…011001101001000100
311001000201022212221200
4213111221121221010
51143001202334404
631223202342500
73023503321323
oct472551315104
9131021285850
1042239105604
1116a05968243
12822995aa30
133ca1c26617
142089b080ba
15117337a839
hex9d5a59a44

42239105604 has 72 divisors (see below), whose sum is σ = 108640092288. Its totient is φ = 13834307520.

The previous prime is 42239105581. The next prime is 42239105611. The reversal of 42239105604 is 40650193224.

It is a happy number.

42239105604 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 91 + 0 + 560 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935509 + ... + 979619.

Almost surely, 242239105604 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 42239105604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54320046144).

42239105604 is an abundant number, since it is smaller than the sum of its proper divisors (66400986684).

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

42239105604 is a wasteful number, since it uses less digits than its factorization.

42239105604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44585 (or 44580 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 42239105604 its reverse (40650193224), we get a palindrome (82889298828).

The spelling of 42239105604 in words is "forty-two billion, two hundred thirty-nine million, one hundred five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 397 402 603 794 804 1191 1206 1588 2382 2412 3573 4764 7146 14292 26599 44111 53198 79797 88222 106396 132333 159594 176444 239391 264666 319188 396999 478782 529332 793998 957564 1587996 2955437 5910874 8866311 11821748 17512067 17732622 26598933 35024134 35465244 52536201 53197866 70048268 105072402 106395732 157608603 210144804 315217206 630434412 1173308489 2346616978 3519925467 4693233956 7039850934 10559776401 14079701868 21119552802 42239105604