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13004044013232 = 2432592851536867
BaseRepresentation
bin1011110100111011110101…
…1011001000111010110000
31201001011201012000200112100
42331032331123020322300
53201024240231410412
643353550401500400
72511340222216416
oct275167533107260
951034635020470
1013004044013232
114163a90915798
121560330041700
1373437874a25c
1432d5831552b6
151783e9702edc
hexbd3bd6c8eb0

13004044013232 has 120 divisors (see below), whose sum is σ = 37023147420480. Its totient is φ = 4259709590400.

The previous prime is 13004044013227. The next prime is 13004044013243. The reversal of 13004044013232 is 23231044040031.

13004044013232 is a `hidden beast` number, since 13 + 0 + 0 + 404 + 4 + 0 + 13 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13004044013196 and 13004044013205.

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, 23953663 + ... + 24490529.

It is an arithmetic number, because the mean of its divisors is an integer number (308526228504).

Almost surely, 213004044013232 is an apocalyptic number.

13004044013232 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 13004044013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18511573710240).

13004044013232 is an abundant number, since it is smaller than the sum of its proper divisors (24019103407248).

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

13004044013232 is a wasteful number, since it uses less digits than its factorization.

13004044013232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539791 (or 539782 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13004044013232 its reverse (23231044040031), we get a palindrome (36235088053263).

The spelling of 13004044013232 in words is "thirteen trillion, four billion, forty-four million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1416 2124 2832 2851 4248 5702 8496 8553 11404 17106 22808 25659 34212 45616 51318 68424 102636 136848 168209 205272 336418 410544 504627 536867 672836 1009254 1073734 1345672 1513881 1610601 2018508 2147468 2691344 3027762 3221202 4037016 4294936 4831803 6055524 6442404 8074032 8589872 9663606 12111048 12884808 19327212 24222096 25769616 31675153 38654424 63350306 77308848 95025459 126700612 190050918 253401224 285076377 380101836 506802448 570152754 760203672 1140305508 1520407344 1530607817 2280611016 3061215634 4561222032 4591823451 6122431268 9183646902 12244862536 13775470353 18367293804 24489725072 27550940706 36734587608 55101881412 73469175216 90305861203 110203762824 180611722406 220407525648 270917583609 361223444812 541835167218 722446889624 812752750827 1083670334436 1444893779248 1625505501654 2167340668872 3251011003308 4334681337744 6502022006616 13004044013232