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12242343304344 = 2331726079290351
BaseRepresentation
bin1011001000100110010010…
…0001100001110010011000
31121100100121221202112001010
42302021210201201302120
53101034304341214334
642012015504053520
72402323452061266
oct262114441416230
947310557675033
1012242343304344
11399aa487022aa
1214587940042a0
136aa5a93b901a
1430476556d436
151636b89540e9
hexb2264861c98

12242343304344 has 96 divisors (see below), whose sum is σ = 32517565747200. Its totient is φ = 3840090124800.

The previous prime is 12242343304333. The next prime is 12242343304349. The reversal of 12242343304344 is 44340334324221.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12242343304349) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 42018769 + ... + 42309119.

It is an arithmetic number, because the mean of its divisors is an integer number (338724643200).

Almost surely, 212242343304344 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 12242343304344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16258782873600).

12242343304344 is an abundant number, since it is smaller than the sum of its proper divisors (20275222442856).

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

12242343304344 is a wasteful number, since it uses less digits than its factorization.

12242343304344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296473 (or 296452 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 39.

Adding to 12242343304344 its reverse (44340334324221), we get a palindrome (56582677628565).

The spelling of 12242343304344 in words is "twelve trillion, two hundred forty-two billion, three hundred forty-three million, three hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 867 1156 1734 2312 3468 6079 6936 12158 18237 24316 36474 48632 72948 103343 145896 206686 290351 310029 413372 580702 620058 826744 871053 1161404 1240116 1742106 1756831 2322808 2480232 3484212 3513662 4935967 5270493 6968424 7027324 9871934 10540986 14054648 14807901 19743868 21081972 29615802 39487736 42163944 59231604 83911439 118463208 167822878 251734317 335645756 503468634 671291512 1006937268 1765043729 2013874536 3530087458 5295131187 7060174916 10590262374 14120349832 21180524748 30005743393 42361049496 60011486786 90017230179 120022973572 180034460358 240045947144 360068920716 510097637681 720137841432 1020195275362 1530292913043 2040390550724 3060585826086 4080781101448 6121171652172 12242343304344