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10014431232432 = 24311232617315109
BaseRepresentation
bin1001000110111010101010…
…0111011100000110110000
31022110100222221010211002110
42101232222213130012300
52303034023343414212
633144322144245320
72052342640655244
oct221565247340660
938410887124073
1010014431232432
11321110739a5a0
121158a44910840
13578483bc2903
142689b59ba424
15125771d58a3c
hex91baa9dc1b0

10014431232432 has 160 divisors (see below), whose sum is σ = 29460899381760. Its totient is φ = 2901615298560.

The previous prime is 10014431232389. The next prime is 10014431232457. The reversal of 10014431232432 is 23423213441001.

It is a self number, because there is not a number n which added to its sum of digits gives 10014431232432.

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, 31623294 + ... + 31938402.

It is an arithmetic number, because the mean of its divisors is an integer number (184130621136).

Almost surely, 210014431232432 is an apocalyptic number.

10014431232432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10014431232432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14730449690880).

10014431232432 is an abundant number, since it is smaller than the sum of its proper divisors (19446468149328).

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

10014431232432 is a wasteful number, since it uses less digits than its factorization.

10014431232432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317771 (or 317765 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10014431232432 its reverse (23423213441001), we get a palindrome (33437644673433).

The spelling of 10014431232432 in words is "ten trillion, fourteen billion, four hundred thirty-one million, two hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 2617 3036 4048 5234 6072 7851 10468 12144 15702 20936 28787 31404 41872 57574 60191 62808 86361 115148 120382 125616 172722 180573 230296 240764 315109 345444 361146 460592 481528 630218 662101 690888 722292 945327 963056 1260436 1324202 1381776 1444584 1890654 1986303 2520872 2648404 2889168 3466199 3781308 3972606 5041744 5296808 6932398 7247507 7562616 7945212 10398597 10593616 13864796 14495014 15125232 15890424 20797194 21742521 27729592 28990028 31780848 41594388 43485042 55459184 57980056 79722577 83188776 86970084 115960112 159445154 166377552 173940168 239167731 318890308 347880336 478335462 637780616 824640253 956670924 1275561232 1649280506 1913341848 2473920759 3298561012 3826683696 4947841518 6597122024 9071042783 9895683036 13194244048 18142085566 18966725819 19791366072 27213128349 36284171132 37933451638 39582732144 54426256698 56900177457 72568342264 75866903276 108852513396 113800354914 145136684528 151733806552 208633984009 217705026792 227600709828 303467613104 417267968018 435410053584 455201419656 625901952027 834535936036 910402839312 1251803904054 1669071872072 2503607808108 3338143744144 5007215616216 10014431232432