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14422822441 is a prime number
BaseRepresentation
bin11010110111010101…
…01100111000101001
31101020011002021220221
431123222230320221
5214014220304231
610343055050041
71020260653006
oct153352547051
941204067827
1014422822441
116131341a75
122966210921
13148b0b1481
149ab6dc8ad
15596303d11
hex35baace29

14422822441 has 2 divisors, whose sum is σ = 14422822442. Its totient is φ = 14422822440.

The previous prime is 14422822439. The next prime is 14422822483.

14422822441 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12584128041 + 1838694400 = 112179^2 + 42880^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 14422822441 - 21 = 14422822439 is a prime.

It is a super-2 number, since 2×144228224412 (a number of 21 digits) contains 22 as substring.

Together with 14422822439, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 14422822397 and 14422822406.

It is not a weakly prime, because it can be changed into another prime (14422820441) 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, 7211411220 + 7211411221.

It is an arithmetic number, because the mean of its divisors is an integer number (7211411221).

Almost surely, 214422822441 is an apocalyptic number.

It is an amenable number.

14422822441 is a deficient number, since it is larger than the sum of its proper divisors (1).

14422822441 is an equidigital number, since it uses as much as digits as its factorization.

14422822441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32768, while the sum is 34.

The spelling of 14422822441 in words is "fourteen billion, four hundred twenty-two million, eight hundred twenty-two thousand, four hundred forty-one".