Search a number
-
+
441840556840321 is a prime number
BaseRepresentation
bin110010001110110100000010…
…1011100000001010110000001
32010221102112201002121020202001
41210131220011130001112001
5430403103430022342241
64203414425532024001
7162031632615012202
oct14435500534012601
92127375632536661
10441840556840321
11118869589638801
124167b7b0602001
1315c705025a6a82
147b172a8a0d5a9
1536134481d0431
hex191da05701581

441840556840321 has 2 divisors, whose sum is σ = 441840556840322. Its totient is φ = 441840556840320.

The previous prime is 441840556840279. The next prime is 441840556840379. The reversal of 441840556840321 is 123048655048144.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 362814875290000 + 79025681550321 = 19047700^2 + 8889639^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-441840556840321 is a prime.

It is not a weakly prime, because it can be changed into another prime (441840556880321) 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 as a sum of consecutive naturals, namely, 220920278420160 + 220920278420161.

It is an arithmetic number, because the mean of its divisors is an integer number (220920278420161).

Almost surely, 2441840556840321 is an apocalyptic number.

It is an amenable number.

441840556840321 is a deficient number, since it is larger than the sum of its proper divisors (1).

441840556840321 is an equidigital number, since it uses as much as digits as its factorization.

441840556840321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14745600, while the sum is 55.

The spelling of 441840556840321 in words is "four hundred forty-one trillion, eight hundred forty billion, five hundred fifty-six million, eight hundred forty thousand, three hundred twenty-one".