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42294423834 = 23313191315437
BaseRepresentation
bin100111011000111100…
…011011000100011010
311001011120102100022000
4213120330123010122
51143104333030314
631232500141430
73025044446055
oct473074330432
9131146370260
1042294423834
1116a34110693
128244397876
133cb05245c0
1420931c7a9c
151178156209
hex9d8f1b11a

42294423834 has 64 divisors (see below), whose sum is σ = 101747681280. Its totient is φ = 12945493440.

The previous prime is 42294423827. The next prime is 42294423877. The reversal of 42294423834 is 43832449224.

It is a happy number.

42294423834 is a `hidden beast` number, since 4 + 229 + 4 + 42 + 383 + 4 = 666.

42294423834 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42294423834.

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, 23637 + ... + 291800.

It is an arithmetic number, because the mean of its divisors is an integer number (1589807520).

Almost surely, 242294423834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42294423834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50873840640).

42294423834 is an abundant number, since it is smaller than the sum of its proper divisors (59453257446).

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

42294423834 is a wasteful number, since it uses less digits than its factorization.

42294423834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315652 (or 315646 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 42294423834 in words is "forty-two billion, two hundred ninety-four million, four hundred twenty-three thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 191 234 351 382 573 702 1146 1719 2483 3438 4966 5157 7449 10314 14898 22347 44694 67041 134082 315437 630874 946311 1892622 2838933 4100681 5677866 8201362 8516799 12302043 17033598 24604086 36906129 60248467 73812258 110718387 120496934 180745401 221436774 361490802 542236203 783230071 1084472406 1566460142 1626708609 2349690213 3253417218 4699380426 7049070639 14098141278 21147211917 42294423834