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12404213442 = 232292819409
BaseRepresentation
bin10111000110101100…
…10100011011000010
31012000110201022221200
423203112110123002
5200400434312232
65410505202030
7616250034405
oct134326243302
935013638850
1012404213442
115295945175
1224a2190316
131228b1cb8a
1485959bd3c
154c8eb777c
hex2e35946c2

12404213442 has 36 divisors (see below), whose sum is σ = 27834538290. Its totient is φ = 3992155776.

The previous prime is 12404213417. The next prime is 12404213449. The reversal of 12404213442 is 24431240421.

12404213442 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 4 + 213 + 442 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 12319002081 + 85211361 = 110991^2 + 9231^2 .

It is a super-2 number, since 2×124042134422 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12404213449) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 394567 + ... + 424842.

Almost surely, 212404213442 is an apocalyptic number.

12404213442 is an abundant number, since it is smaller than the sum of its proper divisors (15430324848).

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

12404213442 is a wasteful number, since it uses less digits than its factorization.

12404213442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819475 (or 819443 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12404213442 its reverse (24431240421), we get a palindrome (36835453863).

The spelling of 12404213442 in words is "twelve billion, four hundred four million, two hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 841 1682 2523 5046 7569 15138 819409 1638818 2458227 4916454 7374681 14749362 23762861 47525722 71288583 142577166 213865749 427731498 689122969 1378245938 2067368907 4134737814 6202106721 12404213442