Search a number
-
+
204404132444301 = 3321135879257933
BaseRepresentation
bin101110011110011110001011…
…101101000111100010001101
3222210201211210102211001101000
4232132132023231013202031
5203242424130401204201
62002421543452210513
761024465644366336
oct5636361355074215
9883654712731330
10204404132444301
115a14733aa61939
121ab12a82469a39
138a092c48aa55a
1438692d9cb528d
15189704962ad86
hexb9e78bb4788d

204404132444301 has 16 divisors (see below), whose sum is σ = 304256107280320. Its totient is φ = 135623594982960.

The previous prime is 204404132444293. The next prime is 204404132444311. The reversal of 204404132444301 is 103444231404402.

204404132444301 is a `hidden beast` number, since 2 + 0 + 4 + 404 + 1 + 3 + 244 + 4 + 3 + 0 + 1 = 666.

It is not a de Polignac number, because 204404132444301 - 23 = 204404132444293 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204404132444311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17939623270 + ... + 17939634663.

It is an arithmetic number, because the mean of its divisors is an integer number (19016006705020).

Almost surely, 2204404132444301 is an apocalyptic number.

It is an amenable number.

204404132444301 is a deficient number, since it is larger than the sum of its proper divisors (99851974836019).

204404132444301 is a wasteful number, since it uses less digits than its factorization.

204404132444301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35879258153 (or 35879258147 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 204404132444301 its reverse (103444231404402), we get a palindrome (307848363848703).

The spelling of 204404132444301 in words is "two hundred four trillion, four hundred four billion, one hundred thirty-two million, four hundred forty-four thousand, three hundred one".

Divisors: 1 3 9 27 211 633 1899 5697 35879257933 107637773799 322913321397 968739964191 7570523423863 22711570271589 68134710814767 204404132444301