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34024045476341 is a prime number
BaseRepresentation
bin1111011110001110101110…
…01001001111100111110101
311110110200000020012012221002
413233013113021033213311
513424422221120220331
6200210233011133045
710111104364520024
oct757072711174765
9143420006165832
1034024045476341
11a928575736a18
123996107ba4185
1315ca5b8a9739b
14858ab5da28bb
153e009bc599cb
hex1ef1d724f9f5

34024045476341 has 2 divisors, whose sum is σ = 34024045476342. Its totient is φ = 34024045476340.

The previous prime is 34024045476331. The next prime is 34024045476389. The reversal of 34024045476341 is 14367454042043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19565989835716 + 14458055640625 = 4423346^2 + 3802375^2 .

It is an emirp because it is prime and its reverse (14367454042043) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34024045476341 is a prime.

It is a super-2 number, since 2×340240454763412 (a number of 28 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 (34024045476301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17012022738170 + 17012022738171.

It is an arithmetic number, because the mean of its divisors is an integer number (17012022738171).

Almost surely, 234024045476341 is an apocalyptic number.

It is an amenable number.

34024045476341 is a deficient number, since it is larger than the sum of its proper divisors (1).

34024045476341 is an equidigital number, since it uses as much as digits as its factorization.

34024045476341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3870720, while the sum is 47.

The spelling of 34024045476341 in words is "thirty-four trillion, twenty-four billion, forty-five million, four hundred seventy-six thousand, three hundred forty-one".