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204132340423431 = 32719716447694821
BaseRepresentation
bin101110011010100001000011…
…101000110101101100000111
3222202202212020210011211111200
4232122201003220311230013
5203224001013122022211
62002053034054033543
760666034456340130
oct5632410350655407
9882685223154450
10204132340423431
115a0520484a4892
121aa8a26b9488b3
1389b979bab8774
14385a0b51c0c87
15188ee3d5b6b56
hexb9a843a35b07

204132340423431 has 24 divisors (see below), whose sum is σ = 338690931774624. Its totient is φ = 116054934649920.

The previous prime is 204132340423409. The next prime is 204132340423441. The reversal of 204132340423431 is 134324043231402.

204132340423431 is a `hidden beast` number, since 2 + 0 + 4 + 13 + 2 + 3 + 404 + 234 + 3 + 1 = 666.

It is not a de Polignac number, because 204132340423431 - 29 = 204132340422919 is a prime.

It is a super-2 number, since 2×2041323404234312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204132340423441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8223835000 + ... + 8223859821.

It is an arithmetic number, because the mean of its divisors is an integer number (14112122157276).

Almost surely, 2204132340423431 is an apocalyptic number.

204132340423431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

204132340423431 is a deficient number, since it is larger than the sum of its proper divisors (134558591351193).

204132340423431 is a wasteful number, since it uses less digits than its factorization.

204132340423431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16447695031 (or 16447695028 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 204132340423431 its reverse (134324043231402), we get a palindrome (338456383654833).

The spelling of 204132340423431 in words is "two hundred four trillion, one hundred thirty-two billion, three hundred forty million, four hundred twenty-three thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 63 197 591 1379 1773 4137 12411 16447694821 49343084463 115133863747 148029253389 345401591241 1036204773723 3240195879737 9720587639211 22681371158159 29161762917633 68044113474477 204132340423431