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13331024053344 = 253255198387077
BaseRepresentation
bin1100000111111101111011…
…1101000000010001100000
31202012102200222122202111100
43001333132331000101200
53221403414124201334
644204104330514400
72544064126544124
oct301773675002140
952172628582440
1013331024053344
11427a7235a24a8
1215b3784b95a00
1375915808b62a
143413215c1584
15181b85802c99
hexc1fdef40460

13331024053344 has 72 divisors (see below), whose sum is σ = 37916973188640. Its totient is φ = 4442868995328.

The previous prime is 13331024053339. The next prime is 13331024053351. The reversal of 13331024053344 is 44335042013331.

13331024053344 is a `hidden beast` number, since 1 + 3 + 3 + 310 + 2 + 4 + 0 + 5 + 334 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13331024053299 and 13331024053308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2604067 + ... + 5783010.

It is an arithmetic number, because the mean of its divisors is an integer number (526624627620).

Almost surely, 213331024053344 is an apocalyptic number.

It is an amenable number.

13331024053344 is an abundant number, since it is smaller than the sum of its proper divisors (24585949135296).

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

13331024053344 is a wasteful number, since it uses less digits than its factorization.

13331024053344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8392612 (or 8392601 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 13331024053344 its reverse (44335042013331), we get a palindrome (57666066066675).

The spelling of 13331024053344 in words is "thirteen trillion, three hundred thirty-one billion, twenty-four million, fifty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5519 11038 16557 22076 33114 44152 49671 66228 88304 99342 132456 176608 198684 264912 397368 529824 794736 1589472 8387077 16774154 25161231 33548308 50322462 67096616 75483693 100644924 134193232 150967386 201289848 268386464 301934772 402579696 603869544 805159392 1207739088 2415478176 46288277963 92576555926 138864833889 185153111852 277729667778 370306223704 416594501667 555459335556 740612447408 833189003334 1110918671112 1481224894816 1666378006668 2221837342224 3332756013336 4443674684448 6665512026672 13331024053344