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10040410432 = 261323598893
BaseRepresentation
bin10010101100111010…
…01000000101000000
3221220201210200211001
421112131020011000
5131030321113212
64340144501344
7503545036423
oct112635100500
927821720731
1010040410432
114292605a68
121b4261a854
13c40198a80
146b36819ba
153db6e1657
hex256748140

10040410432 has 112 divisors (see below), whose sum is σ = 22771486080. Its totient is φ = 4356937728.

The previous prime is 10040410427. The next prime is 10040410447. The reversal of 10040410432 is 23401404001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1124578 + ... + 1133470.

It is an arithmetic number, because the mean of its divisors is an integer number (203316840).

Almost surely, 210040410432 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 10040410432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11385743040).

10040410432 is an abundant number, since it is smaller than the sum of its proper divisors (12731075648).

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

10040410432 is a wasteful number, since it uses less digits than its factorization.

10040410432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9000 (or 8990 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 10040410432 its reverse (23401404001), we get a palindrome (33441814433).

The spelling of 10040410432 in words is "ten billion, forty million, four hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 59 64 92 104 118 184 208 236 299 368 416 472 598 736 767 832 944 1196 1357 1472 1534 1888 2392 2714 3068 3776 4784 5428 6136 8893 9568 10856 12272 17641 17786 19136 21712 24544 35282 35572 43424 49088 70564 71144 86848 115609 141128 142288 204539 231218 282256 284576 409078 462436 524687 564512 569152 818156 924872 1049374 1129024 1636312 1849744 2098748 2659007 3272624 3699488 4197496 5318014 6545248 6820931 7398976 8394992 10636028 12067801 13090496 13641862 16789984 21272056 24135602 27283724 33579968 42544112 48271204 54567448 85088224 96542408 109134896 156881413 170176448 193084816 218269792 313762826 386169632 436539584 627525652 772339264 1255051304 2510102608 5020205216 10040410432