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204134431313304 = 233217395701421471
BaseRepresentation
bin101110011010100011000000…
…010000111100110110011000
3222202210001122111120001012100
4232122203000100330312120
5203224014303404011204
62002054021345043400
760666140335532022
oct5632430020746630
9882701574501170
10204134431313304
115a052a20780348
121aa8a754026560
1389b9a43036acb
14385a232b79012
151890011e2ea39
hexb9a8c043cd98

204134431313304 has 96 divisors (see below), whose sum is σ = 585388369837440. Its totient is φ = 64041860736000.

The previous prime is 204134431313273. The next prime is 204134431313311. The reversal of 204134431313304 is 403313134431402.

204134431313304 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 3 + 4 + 4 + 31 + 313 + 304 = 666.

204134431313304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484127289 + ... + 484548759.

It is an arithmetic number, because the mean of its divisors is an integer number (6097795519140).

Almost surely, 2204134431313304 is an apocalyptic number.

204134431313304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204134431313304 is an abundant number, since it is smaller than the sum of its proper divisors (381253938524136).

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

204134431313304 is a wasteful number, since it uses less digits than its factorization.

204134431313304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817201 (or 817194 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 204134431313304 its reverse (403313134431402), we get a palindrome (607447565744706).

The spelling of 204134431313304 in words is "two hundred four trillion, one hundred thirty-four billion, four hundred thirty-one million, three hundred thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 395701 421471 791402 842942 1187103 1264413 1582804 1685884 2374206 2528826 3165608 3371768 3561309 3793239 4748412 5057652 6726917 7122618 7165007 7586478 9496824 10115304 13453834 14245236 14330014 15172956 20180751 21495021 26907668 28490472 28660028 30345912 40361502 42990042 53815336 57320056 60542253 64485063 80723004 85980084 121084506 128970126 161446008 171960168 242169012 257940252 484338024 515880504 166776496171 333552992342 500329488513 667105984684 1000658977026 1334211969368 1500988465539 2001317954052 2835200434907 3001976931078 4002635908104 5670400869814 6003953862156 8505601304721 11340801739628 12007907724312 17011202609442 22681603479256 25516803914163 34022405218884 51033607828326 68044810437768 102067215656652 204134431313304