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432040131313 = 7217894928533
BaseRepresentation
bin1100100100101111001…
…10010011101011110001
31112022011121201200101221
412102113212103223301
524034304233200223
6530250531225041
743133233344400
oct6222746235361
91468147650357
10432040131313
1115725543326a
126b895448181
133198358c01b
1416ca7551637
15b3896b0b5d
hex6497993af1

432040131313 has 12 divisors (see below), whose sum is σ = 502858324020. Its totient is φ = 370113039072.

The previous prime is 432040131277. The next prime is 432040131343. The reversal of 432040131313 is 313131040234.

It can be written as a sum of positive squares in 2 ways, for example, as 304386130944 + 127654000369 = 551712^2 + 357287^2 .

It is not a de Polignac number, because 432040131313 - 213 = 432040123121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (432040131343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2376606 + ... + 2551927.

It is an arithmetic number, because the mean of its divisors is an integer number (41904860335).

Almost surely, 2432040131313 is an apocalyptic number.

It is an amenable number.

432040131313 is a deficient number, since it is larger than the sum of its proper divisors (70818192707).

432040131313 is a wasteful number, since it uses less digits than its factorization.

432040131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930336 (or 4930329 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 432040131313 its reverse (313131040234), we get a palindrome (745171171547).

The spelling of 432040131313 in words is "four hundred thirty-two billion, forty million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 7 49 1789 12523 87661 4928533 34499731 241498117 8817145537 61720018759 432040131313