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1304441434369 is a prime number
BaseRepresentation
bin10010111110110110110…
…001001011000100000001
311121200222202200200210101
4102332312301023010001
5132332444001344434
62435130243002401
7163146163150543
oct22766661130401
94550882620711
101304441434369
11463235201607
12190986969401
1396015306b08
14471c73ab693
1523de8ce5b14
hex12fb6c4b101

1304441434369 has 2 divisors, whose sum is σ = 1304441434370. Its totient is φ = 1304441434368.

The previous prime is 1304441434367. The next prime is 1304441434433. The reversal of 1304441434369 is 9634341444031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1277261625600 + 27179808769 = 1130160^2 + 164863^2 .

It is a cyclic number.

It is not a de Polignac number, because 1304441434369 - 21 = 1304441434367 is a prime.

It is a super-2 number, since 2×13044414343692 (a number of 25 digits) contains 22 as substring.

Together with 1304441434367, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1304441434367) 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, 652220717184 + 652220717185.

It is an arithmetic number, because the mean of its divisors is an integer number (652220717185).

Almost surely, 21304441434369 is an apocalyptic number.

It is an amenable number.

1304441434369 is a deficient number, since it is larger than the sum of its proper divisors (1).

1304441434369 is an equidigital number, since it uses as much as digits as its factorization.

1304441434369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1492992, while the sum is 46.

The spelling of 1304441434369 in words is "one trillion, three hundred four billion, four hundred forty-one million, four hundred thirty-four thousand, three hundred sixty-nine".