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12344104431 = 345916715467
BaseRepresentation
bin10110111111100010…
…00001010111101111
31011212021121110220000
423133301001113233
5200240042320211
65400520555343
7614620104441
oct133761012757
934767543800
1012344104431
115264a1a3aa
122486022b53
131219535409
148515d2491
154c3a92656
hex2dfc415ef

12344104431 has 40 divisors (see below), whose sum is σ = 18866010240. Its totient is φ = 8040958992.

The previous prime is 12344104369. The next prime is 12344104441. The reversal of 12344104431 is 13440144321.

12344104431 is a `hidden beast` number, since 123 + 4 + 4 + 104 + 431 = 666.

It is not a de Polignac number, because 12344104431 - 219 = 12343580143 is a prime.

It is a super-2 number, since 2×123441044312 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12344104395 and 12344104404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12344104441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 790360 + ... + 805826.

It is an arithmetic number, because the mean of its divisors is an integer number (471650256).

Almost surely, 212344104431 is an apocalyptic number.

12344104431 is a deficient number, since it is larger than the sum of its proper divisors (6521905809).

12344104431 is a wasteful number, since it uses less digits than its factorization.

12344104431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15705 (or 15696 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12344104431 its reverse (13440144321), we get a palindrome (25784248752).

The spelling of 12344104431 in words is "twelve billion, three hundred forty-four million, one hundred four thousand, four hundred thirty-one".

Divisors: 1 3 9 27 59 81 167 177 501 531 1503 1593 4509 4779 9853 13527 15467 29559 46401 88677 139203 266031 417609 798093 912553 1252827 2582989 2737659 7748967 8212977 23246901 24638931 69740703 73916793 152396351 209222109 457189053 1371567159 4114701477 12344104431