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444134312309 is a prime number
BaseRepresentation
bin1100111011010000111…
…01111100100101110101
31120110101111001201210102
412131220131330211311
524234041340443214
6540011003403445
744042030236322
oct6355035744565
91513344051712
10444134312309
111613a1271476
12720ab823585
1332b600aa83c
14176d3887b49
15b846336bde
hex676877c975

444134312309 has 2 divisors, whose sum is σ = 444134312310. Its totient is φ = 444134312308.

The previous prime is 444134312273. The next prime is 444134312333. The reversal of 444134312309 is 903213431444.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 319334619409 + 124799692900 = 565097^2 + 353270^2 .

It is a cyclic number.

It is not a de Polignac number, because 444134312309 - 28 = 444134312053 is a prime.

It is a super-2 number, since 2×4441343123092 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (444134312389) 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, 222067156154 + 222067156155.

It is an arithmetic number, because the mean of its divisors is an integer number (222067156155).

Almost surely, 2444134312309 is an apocalyptic number.

It is an amenable number.

444134312309 is a deficient number, since it is larger than the sum of its proper divisors (1).

444134312309 is an equidigital number, since it uses as much as digits as its factorization.

444134312309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 38.

The spelling of 444134312309 in words is "four hundred forty-four billion, one hundred thirty-four million, three hundred twelve thousand, three hundred nine".