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2244441073361 is a prime number
BaseRepresentation
bin100000101010010011000…
…111001110011011010001
321221120021221211222022112
4200222103013032123101
5243233103403321421
64435025413315105
7321104225226434
oct40522307163321
97846257758275
102244441073361
11795953523193
12302ba2935a95
1313385aa4a056
147a8baca981b
153d5b2c8745b
hex20a931ce6d1

2244441073361 has 2 divisors, whose sum is σ = 2244441073362. Its totient is φ = 2244441073360.

The previous prime is 2244441073351. The next prime is 2244441073363. The reversal of 2244441073361 is 1633701444422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1883413140625 + 361027932736 = 1372375^2 + 600856^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2244441073361 is a prime.

Together with 2244441073363, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2244441073363) 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, 1122220536680 + 1122220536681.

It is an arithmetic number, because the mean of its divisors is an integer number (1122220536681).

Almost surely, 22244441073361 is an apocalyptic number.

It is an amenable number.

2244441073361 is a deficient number, since it is larger than the sum of its proper divisors (1).

2244441073361 is an equidigital number, since it uses as much as digits as its factorization.

2244441073361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 387072, while the sum is 41.

The spelling of 2244441073361 in words is "two trillion, two hundred forty-four billion, four hundred forty-one million, seventy-three thousand, three hundred sixty-one".