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34031433541381 is a prime number
BaseRepresentation
bin1111011110011100011111…
…00000011110011100000101
311110111101002010010210212121
413233032033200132130011
513430032333441311011
6200213454051045541
710111455435162163
oct757161740363405
9143441063123777
1034031433541381
11a9307170445a1
12399762a2a08b1
1315cb1c55c33c3
148591b7298233
153e038067ae71
hex1ef38f81e705

34031433541381 has 2 divisors, whose sum is σ = 34031433541382. Its totient is φ = 34031433541380.

The previous prime is 34031433541379. The next prime is 34031433541393. The reversal of 34031433541381 is 18314533413043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25633412073025 + 8398021468356 = 5062945^2 + 2897934^2 .

It is a cyclic number.

It is not a de Polignac number, because 34031433541381 - 21 = 34031433541379 is a prime.

It is a super-2 number, since 2×340314335413812 (a number of 28 digits) contains 22 as substring.

Together with 34031433541379, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34031433541361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17015716770690 + 17015716770691.

It is an arithmetic number, because the mean of its divisors is an integer number (17015716770691).

Almost surely, 234031433541381 is an apocalyptic number.

It is an amenable number.

34031433541381 is a deficient number, since it is larger than the sum of its proper divisors (1).

34031433541381 is an equidigital number, since it uses as much as digits as its factorization.

34031433541381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 34031433541381 in words is "thirty-four trillion, thirty-one billion, four hundred thirty-three million, five hundred forty-one thousand, three hundred eighty-one".