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12404134304 = 25617387049
BaseRepresentation
bin10111000110101100…
…00001000110100000
31012000110120022101122
423203112001012200
5200400424244204
65410503351412
7616246254602
oct134326010640
935013508348
1012404134304
1152958a0771
1224a2152568
131228ac2b53
1485957b172
154c8e9e0be
hex2e35811a0

12404134304 has 48 divisors (see below), whose sum is σ = 25161280200. Its totient is φ = 6016757760.

The previous prime is 12404134279. The next prime is 12404134321. The reversal of 12404134304 is 40343140421.

It can be written as a sum of positive squares in 4 ways, for example, as 8578464400 + 3825669904 = 92620^2 + 61852^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98972 + ... + 186020.

Almost surely, 212404134304 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 12404134304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12580640100).

12404134304 is an abundant number, since it is smaller than the sum of its proper divisors (12757145896).

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

12404134304 is an equidigital number, since it uses as much as digits as its factorization.

12404134304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87193 (or 87185 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 12404134304 its reverse (40343140421), we get a palindrome (52747274725).

The spelling of 12404134304 in words is "twelve billion, four hundred four million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 32 61 73 122 146 244 292 488 584 976 1168 1952 2336 4453 8906 17812 35624 71248 87049 142496 174098 348196 696392 1392784 2785568 5309989 6354577 10619978 12709154 21239956 25418308 42479912 50836616 84959824 101673232 169919648 203346464 387629197 775258394 1550516788 3101033576 6202067152 12404134304