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444101561 is a prime number
BaseRepresentation
bin11010011110000…
…111001110111001
31010221122200210222
4122132013032321
51402142222221
6112022345425
714001541511
oct3236071671
91127580728
10444101561
11208758092
1210488b275
1371012cb7
1442da4841
1528ec59ab
hex1a7873b9

444101561 has 2 divisors, whose sum is σ = 444101562. Its totient is φ = 444101560.

The previous prime is 444101551. The next prime is 444101569. The reversal of 444101561 is 165101444.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 346704400 + 97397161 = 18620^2 + 9869^2 .

It is a cyclic number.

It is not a de Polignac number, because 444101561 - 222 = 439907257 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 444101561.

It is not a weakly prime, because it can be changed into another prime (444101569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 222050780 + 222050781.

It is an arithmetic number, because the mean of its divisors is an integer number (222050781).

Almost surely, 2444101561 is an apocalyptic number.

It is an amenable number.

444101561 is a deficient number, since it is larger than the sum of its proper divisors (1).

444101561 is an equidigital number, since it uses as much as digits as its factorization.

444101561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 444101561 is about 21073.7173037886. The cubic root of 444101561 is about 762.9465260974.

The spelling of 444101561 in words is "four hundred forty-four million, one hundred one thousand, five hundred sixty-one".