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12404214400 = 27523876317
BaseRepresentation
bin10111000110101100…
…10100101010000000
31012000110201101021011
423203112110222000
5200400434330100
65410505210304
7616250040244
oct134326245200
935013641234
1012404214400
115295945966
1224a2190994
131228b20446
1485959c424
154c8eb7bba
hex2e3594a80

12404214400 has 48 divisors (see below), whose sum is σ = 30642293790. Its totient is φ = 4961684480.

The previous prime is 12404214371. The next prime is 12404214401. The reversal of 12404214400 is 441240421.

It can be written as a sum of positive squares in 3 ways, for example, as 11360149056 + 1044065344 = 106584^2 + 32312^2 .

It is not an unprimeable number, because it can be changed into a prime (12404214401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1934959 + ... + 1941358.

Almost surely, 212404214400 is an apocalyptic number.

12404214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12404214400 is an abundant number, since it is smaller than the sum of its proper divisors (18238079390).

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

12404214400 is an equidigital number, since it uses as much as digits as its factorization.

12404214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3876341 (or 3876324 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 12404214400 its reverse (441240421), we get a palindrome (12845454821).

The spelling of 12404214400 in words is "twelve billion, four hundred four million, two hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 1600 3200 3876317 7752634 15505268 19381585 31010536 38763170 62021072 77526340 96907925 124042144 155052680 193815850 248084288 310105360 387631700 496168576 620210720 775263400 1240421440 1550526800 2480842880 3101053600 6202107200 12404214400