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4401322444417 is a prime number
BaseRepresentation
bin100000000001100001101…
…0000101100011010000001
3120120202120201200012121211
41000003003100230122001
51034102402021210132
613205534542450121
7632661605334163
oct100030320543201
916522521605554
104401322444417
111447654861038
125b1009b93941
1325c0733cc962
1411304cdc6933
157974da29147
hex400c342c681

4401322444417 has 2 divisors, whose sum is σ = 4401322444418. Its totient is φ = 4401322444416.

The previous prime is 4401322444327. The next prime is 4401322444429. The reversal of 4401322444417 is 7144442231044.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3148498908801 + 1252823535616 = 1774401^2 + 1119296^2 .

It is a cyclic number.

It is not a de Polignac number, because 4401322444417 - 27 = 4401322444289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4401322444417.

It is not a weakly prime, because it can be changed into another prime (4401322444817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2200661222208 + 2200661222209.

It is an arithmetic number, because the mean of its divisors is an integer number (2200661222209).

Almost surely, 24401322444417 is an apocalyptic number.

It is an amenable number.

4401322444417 is a deficient number, since it is larger than the sum of its proper divisors (1).

4401322444417 is an equidigital number, since it uses as much as digits as its factorization.

4401322444417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 344064, while the sum is 40.

The spelling of 4401322444417 in words is "four trillion, four hundred one billion, three hundred twenty-two million, four hundred forty-four thousand, four hundred seventeen".