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34634275141 is a prime number
BaseRepresentation
bin100000010000010111…
…010001100101000101
310022101201111110202011
4200100113101211011
51031412333301031
623524420414221
72334161324044
oct402027214505
9108351443664
1034634275141
1113763166594
126866b47371
13335c52323b
141967b0855b
15d7a8dc6b1
hex8105d1945

34634275141 has 2 divisors, whose sum is σ = 34634275142. Its totient is φ = 34634275140.

The previous prime is 34634275139. The next prime is 34634275171. The reversal of 34634275141 is 14157243643.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32308624516 + 2325650625 = 179746^2 + 48225^2 .

It is an emirp because it is prime and its reverse (14157243643) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34634275141 - 21 = 34634275139 is a prime.

It is a super-3 number, since 3×346342751413 (a number of 33 digits) contains 333 as substring.

Together with 34634275139, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 34634275094 and 34634275103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34634275171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17317137570 + 17317137571.

It is an arithmetic number, because the mean of its divisors is an integer number (17317137571).

Almost surely, 234634275141 is an apocalyptic number.

It is an amenable number.

34634275141 is a deficient number, since it is larger than the sum of its proper divisors (1).

34634275141 is an equidigital number, since it uses as much as digits as its factorization.

34634275141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 241920, while the sum is 40.

The spelling of 34634275141 in words is "thirty-four billion, six hundred thirty-four million, two hundred seventy-five thousand, one hundred forty-one".