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12334310031232 = 277172335207087
BaseRepresentation
bin1011001101111100111000…
…1010101111111110000000
31121200011000021101022021001
42303133032022233332000
53104041131331444412
642122145342141344
72412060462256420
oct263371612577600
947604007338231
1012334310031232
113a25a51504412
12147257b581854
136b6174805907
14308dab744480
15165c9c7be957
hexb37ce2aff80

12334310031232 has 128 divisors (see below), whose sum is σ = 31027302512640. Its totient is φ = 4758871400448.

The previous prime is 12334310031203. The next prime is 12334310031293. The reversal of 12334310031232 is 23213001343321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 12334310031232.

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, 17253208 + ... + 17953879.

It is an arithmetic number, because the mean of its divisors is an integer number (242400800880).

Almost surely, 212334310031232 is an apocalyptic number.

It is an amenable number.

12334310031232 is an abundant number, since it is smaller than the sum of its proper divisors (18692992481408).

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

12334310031232 is a wasteful number, since it uses less digits than its factorization.

12334310031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35207148 (or 35207136 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 12334310031232 its reverse (23213001343321), we get a palindrome (35547311374553).

The spelling of 12334310031232 in words is "twelve trillion, three hundred thirty-four billion, three hundred ten million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 23 28 32 34 46 56 64 68 92 112 119 128 136 161 184 224 238 272 322 368 391 448 476 544 644 736 782 896 952 1088 1288 1472 1564 1904 2176 2576 2737 2944 3128 3808 5152 5474 6256 7616 10304 10948 12512 15232 20608 21896 25024 43792 50048 87584 175168 350336 35207087 70414174 140828348 246449609 281656696 492899218 563313392 598520479 809763001 985798436 1126626784 1197040958 1619526002 1971596872 2253253568 2394081916 3239052004 3943193744 4189643353 4506507136 4788163832 5668341007 6478104008 7886387488 8379286706 9576327664 11336682014 12956208016 13765971017 15772774976 16758573412 19152655328 22673364028 25912416032 27531942034 31545549952 33517146824 38305310656 45346728056 51824832064 55063884068 67034293648 76610621312 90693456112 96361797119 103649664128 110127768136 134068587296 181386912224 192723594238 220255536272 268137174592 362773824448 385447188476 440511072544 536274349184 725547648896 770894376952 881022145088 1541788753904 1762044290176 3083577507808 6167155015616 12334310031232