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12422344304 = 2431432392437
BaseRepresentation
bin10111001000110110…
…11110111001110000
31012001201211110211002
423210123132321300
5200420110004204
65412353541132
7616560120146
oct134433367160
935051743732
1012422344304
1152a50a9157
1224a82747a8
13122c7ca5b6
1485bb5b596
154ca89991e
hex2e46dee70

12422344304 has 80 divisors (see below), whose sum is σ = 25539317760. Its totient is φ = 5844061440.

The previous prime is 12422344301. The next prime is 12422344307. The reversal of 12422344304 is 40344322421.

It is an interprime number because it is at equal distance from previous prime (12422344301) and next prime (12422344307).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12422344301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5096174 + ... + 5098610.

It is an arithmetic number, because the mean of its divisors is an integer number (319241472).

Almost surely, 212422344304 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 12422344304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12769658880).

12422344304 is an abundant number, since it is smaller than the sum of its proper divisors (13116973456).

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

12422344304 is a wasteful number, since it uses less digits than its factorization.

12422344304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 12422344304 its reverse (40344322421), we get a palindrome (52766666725).

The spelling of 12422344304 in words is "twelve billion, four hundred twenty-two million, three hundred forty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 31 43 62 86 124 172 239 248 344 478 496 688 956 1333 1912 2437 2666 3824 4874 5332 7409 9748 10277 10664 14818 19496 20554 21328 29636 38992 41108 59272 75547 82216 104791 118544 151094 164432 209582 302188 318587 419164 582443 604376 637174 838328 1164886 1208752 1274348 1676656 2329772 2548696 3248521 4659544 5097392 6497042 9319088 12994084 18055733 25045049 25988168 36111466 50090098 51976336 72222932 100180196 144445864 200360392 288891728 400720784 776396519 1552793038 3105586076 6211172152 12422344304