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204140004131 = 7413594314597
BaseRepresentation
bin1011111000011110110…
…0010100001100100011
3201111220212102200111202
42332013230110030203
511321034320113011
6233440340431415
720514531255620
oct2760754241443
9644825380452
10204140004131
117963678a618
12336920a856b
1316333c4ca6b
149c47c7b347
15549bb5223b
hex2f87b14323

204140004131 has 32 divisors (see below), whose sum is σ = 240267202560. Its totient is φ = 169801977600.

The previous prime is 204140004127. The next prime is 204140004143. The reversal of 204140004131 is 131400041402.

204140004131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 204140004131 - 22 = 204140004127 is a prime.

It is a super-2 number, since 2×2041400041312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204140000131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44404925 + ... + 44409521.

It is an arithmetic number, because the mean of its divisors is an integer number (7508350080).

Almost surely, 2204140004131 is an apocalyptic number.

204140004131 is a deficient number, since it is larger than the sum of its proper divisors (36127198429).

204140004131 is a wasteful number, since it uses less digits than its factorization.

204140004131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5435.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 204140004131 its reverse (131400041402), we get a palindrome (335540045533).

The spelling of 204140004131 in words is "two hundred four billion, one hundred forty million, four thousand, one hundred thirty-one".

Divisors: 1 7 41 287 359 431 2513 3017 4597 14719 17671 32179 103033 123697 154729 188477 1083103 1319339 1650323 1981307 6343889 11552261 13869149 44407223 67663243 81233587 473642701 568635109 711289213 4979024491 29162857733 204140004131