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204012444321 = 32731193541249
BaseRepresentation
bin1011111000000000010…
…1101101101010100001
3201111120222101222100100
42332000011231222201
511320304141204241
6233415542413013
720511422110260
oct2760005555241
9644528358310
10204012444321
1179580784a94
1233657431169
13163136a9b9a
149c34d545d7
1554908569b6
hex2f8016daa1

204012444321 has 48 divisors (see below), whose sum is σ = 349448320000. Its totient is φ = 112233185280.

The previous prime is 204012444319. The next prime is 204012444343. The reversal of 204012444321 is 123444210402.

204012444321 is a `hidden beast` number, since 204 + 0 + 1 + 24 + 4 + 432 + 1 = 666.

It is not a de Polignac number, because 204012444321 - 21 = 204012444319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (204012444721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 106305 + ... + 647553.

Almost surely, 2204012444321 is an apocalyptic number.

204012444321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

204012444321 is a deficient number, since it is larger than the sum of its proper divisors (145435875679).

204012444321 is a wasteful number, since it uses less digits than its factorization.

204012444321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541486 (or 541483 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 204012444321 its reverse (123444210402), we get a palindrome (327456654723).

The spelling of 204012444321 in words is "two hundred four billion, twelve million, four hundred forty-four thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 31 63 93 193 217 279 579 651 1351 1737 1953 4053 5983 12159 17949 41881 53847 125643 376929 541249 1623747 3788743 4871241 11366229 16778719 34098687 50336157 104461057 117451033 151008471 313383171 352353099 731227399 940149513 1057059297 2193682197 3238292767 6581046591 9714878301 22668049369 29144634903 68004148107 204012444321