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204144304311 = 321910311590547
BaseRepresentation
bin1011111000011111110…
…0101110000010110111
3201111221011112011020200
42332013330232002313
511321041420214221
6233441012531543
720514612645603
oct2760774560267
9644834464220
10204144304311
1179639157392
1233693620bb3
1316334ac714c
149c4867a503
15549c201426
hex2f87f2e0b7

204144304311 has 24 divisors (see below), whose sum is σ = 313408417920. Its totient is φ = 127681454736.

The previous prime is 204144304297. The next prime is 204144304321. The reversal of 204144304311 is 113403441402.

204144304311 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 44 + 304 + 311 = 666.

It is not a de Polignac number, because 204144304311 - 210 = 204144303287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204144304321) 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, 5777661 + ... + 5812886.

It is an arithmetic number, because the mean of its divisors is an integer number (13058684080).

Almost surely, 2204144304311 is an apocalyptic number.

204144304311 is a deficient number, since it is larger than the sum of its proper divisors (109264113609).

204144304311 is a wasteful number, since it uses less digits than its factorization.

204144304311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11590675 (or 11590672 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 204144304311 its reverse (113403441402), we get a palindrome (317547745713).

The spelling of 204144304311 in words is "two hundred four billion, one hundred forty-four million, three hundred four thousand, three hundred eleven".

Divisors: 1 3 9 19 57 103 171 309 927 1957 5871 17613 11590547 34771641 104314923 220220393 660661179 1193826341 1981983537 3581479023 10744437069 22682700479 68048101437 204144304311