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42410054124 = 223241128922291
BaseRepresentation
bin100111011111110101…
…100001000111101100
311001110121222222020100
4213133311201013230
51143323433212444
631252150351100
73030650340444
oct473765410754
9131417888210
1042410054124
1116a93408409
12827705b490
133ccb47b5a9
1420a46c7124
151183396e69
hex9dfd611ec

42410054124 has 72 divisors (see below), whose sum is σ = 109908030960. Its totient is φ = 13780569600.

The previous prime is 42410054077. The next prime is 42410054149. The reversal of 42410054124 is 42145001424.

42410054124 is a `hidden beast` number, since 4 + 241 + 0 + 0 + 5 + 412 + 4 = 666.

It is a super-2 number, since 2×424100541242 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1891419 + ... + 1913709.

It is an arithmetic number, because the mean of its divisors is an integer number (1526500430).

Almost surely, 242410054124 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 42410054124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54954015480).

42410054124 is an abundant number, since it is smaller than the sum of its proper divisors (67497976836).

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

42410054124 is a wasteful number, since it uses less digits than its factorization.

42410054124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23631 (or 23626 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 42410054124 its reverse (42145001424), we get a palindrome (84555055548).

The spelling of 42410054124 in words is "forty-two billion, four hundred ten million, fifty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1289 1476 2578 3867 5156 7734 11601 15468 22291 23202 44582 46404 52849 66873 89164 105698 133746 158547 200619 211396 267492 317094 401238 475641 634188 802476 913931 951282 1827862 1902564 2741793 3655724 5483586 8225379 10967172 16450758 28733099 32901516 57466198 86199297 114932396 172398594 258597891 344797188 517195782 1034391564 1178057059 2356114118 3534171177 4712228236 7068342354 10602513531 14136684708 21205027062 42410054124