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12313044230432 = 251143976983273
BaseRepresentation
bin1011001100101101101010…
…1000001010000100100000
31121121010010020000200202012
42303023122220022010200
53103214103310333212
642104311234212052
72410405500040241
oct263133250120440
947533106020665
1012313044230432
113a17a29516530
12146a425724028
136b4165b0842a
14307d512c0cc8
1516545586b922
hexb32daa0a120

12313044230432 has 96 divisors (see below), whose sum is σ = 27063157302720. Its totient is φ = 5466054021120.

The previous prime is 12313044230393. The next prime is 12313044230449. The reversal of 12313044230432 is 23403244031321.

It is a super-2 number, since 2×123130442304322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147821948 + ... + 147905220.

It is an arithmetic number, because the mean of its divisors is an integer number (281907888570).

Almost surely, 212313044230432 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 12313044230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13531578651360).

12313044230432 is an abundant number, since it is smaller than the sum of its proper divisors (14750113072288).

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

12313044230432 is a wasteful number, since it uses less digits than its factorization.

12313044230432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93106 (or 93098 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 12313044230432 its reverse (23403244031321), we get a palindrome (35716288261753).

The spelling of 12313044230432 in words is "twelve trillion, three hundred thirteen billion, forty-four million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 344 352 473 688 946 1376 1892 3784 7568 9769 15136 19538 39076 78152 83273 107459 156304 166546 214918 312608 333092 420067 429836 666184 840134 859672 916003 1332368 1680268 1719344 1832006 2664736 3360536 3438688 3580739 3664012 4620737 6721072 7161478 7328024 9241474 13442144 14322956 14656048 18482948 28645912 29312096 36965896 39388129 57291824 73931792 78776258 114583648 147863584 157552516 315105032 630210064 813493937 1260420128 1626987874 3253975748 6507951496 8948433307 13015902992 17896866614 26031805984 34980239291 35793733228 69960478582 71587466456 139920957164 143174932912 279841914328 286349865824 384782632201 559683828656 769565264402 1119367657312 1539130528804 3078261057608 6156522115216 12313044230432