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3413443343329 is a prime number
BaseRepresentation
bin110001101011000001000…
…100111111001111100001
3110002022200201212020121201
4301223001010333033201
5421411212443441304
611132040401121201
7501420210455635
oct61530104771741
913068621766551
103413443343329
1110a66a6862978
1247166b329201
131b9b6a348a66
14bb2d666cdc5
155dbd14653a4
hex31ac113f3e1

3413443343329 has 2 divisors, whose sum is σ = 3413443343330. Its totient is φ = 3413443343328.

The previous prime is 3413443343291. The next prime is 3413443343357. The reversal of 3413443343329 is 9233433443143.

3413443343329 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3411139343329 + 2304000000 = 1846927^2 + 48000^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3413443343329 is a prime.

It is a super-2 number, since 2×34134433433292 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (3413440343329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1706721671664 + 1706721671665.

It is an arithmetic number, because the mean of its divisors is an integer number (1706721671665).

Almost surely, 23413443343329 is an apocalyptic number.

It is an amenable number.

3413443343329 is a deficient number, since it is larger than the sum of its proper divisors (1).

3413443343329 is an equidigital number, since it uses as much as digits as its factorization.

3413443343329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3359232, while the sum is 46.

The spelling of 3413443343329 in words is "three trillion, four hundred thirteen billion, four hundred forty-three million, three hundred forty-three thousand, three hundred twenty-nine".