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442430344314401 is a prime number
BaseRepresentation
bin110010010011000110101011…
…1100000101011111000100001
32011000111221001101210020100112
41210212031113200223320201
5430442234321121030101
64204545405544301105
7162122352242561162
oct14446152740537041
92130457041706315
10442430344314401
11118a76723259433
1241755b6b171795
1315cb40054c5321
147b37a5880b769
1536239666ae6bb
hex192635782be21

442430344314401 has 2 divisors, whose sum is σ = 442430344314402. Its totient is φ = 442430344314400.

The previous prime is 442430344314349. The next prime is 442430344314419. The reversal of 442430344314401 is 104413443034244.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 224631750798400 + 217798593516001 = 14987720^2 + 14758001^2 .

It is a cyclic number.

It is not a de Polignac number, because 442430344314401 - 230 = 442429270572577 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (442430344314451) 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 as a sum of consecutive naturals, namely, 221215172157200 + 221215172157201.

It is an arithmetic number, because the mean of its divisors is an integer number (221215172157201).

Almost surely, 2442430344314401 is an apocalyptic number.

It is an amenable number.

442430344314401 is a deficient number, since it is larger than the sum of its proper divisors (1).

442430344314401 is an equidigital number, since it uses as much as digits as its factorization.

442430344314401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 884736, while the sum is 41.

Adding to 442430344314401 its reverse (104413443034244), we get a palindrome (546843787348645).

The spelling of 442430344314401 in words is "four hundred forty-two trillion, four hundred thirty billion, three hundred forty-four million, three hundred fourteen thousand, four hundred one".