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12444323304 = 2337312389463
BaseRepresentation
bin10111001011011110…
…10100110111101000
31012010021012010100010
423211233110313220
5200441221321204
65414501011520
7620245000650
oct134557246750
935107163303
1012444323304
115306550316
1224b36b3ba0
13123422471a
14860a3d360
154cc78bd89
hex2e5bd4de8

12444323304 has 64 divisors (see below), whose sum is σ = 36702167040. Its totient is φ = 3440825280.

The previous prime is 12444323291. The next prime is 12444323317. The reversal of 12444323304 is 40332344421.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12444323291) and next prime (12444323317).

It is a super-2 number, since 2×124443233042 (a number of 21 digits) contains 22 as substring.

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, 1189524 + ... + 1199939.

It is an arithmetic number, because the mean of its divisors is an integer number (573471360).

Almost surely, 212444323304 is an apocalyptic number.

12444323304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12444323304 is an abundant number, since it is smaller than the sum of its proper divisors (24257843736).

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

12444323304 is a wasteful number, since it uses less digits than its factorization.

12444323304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2389510 (or 2389506 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 12444323304 its reverse (40332344421), we get a palindrome (52776667725).

The spelling of 12444323304 in words is "twelve billion, four hundred forty-four million, three hundred twenty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 56 62 84 93 124 168 186 217 248 372 434 651 744 868 1302 1736 2604 5208 2389463 4778926 7168389 9557852 14336778 16726241 19115704 28673556 33452482 50178723 57347112 66904964 74073353 100357446 133809928 148146706 200714892 222220059 296293412 401429784 444440118 518513471 592586824 888880236 1037026942 1555540413 1777760472 2074053884 3111080826 4148107768 6222161652 12444323304