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34140083209 is a prime number
BaseRepresentation
bin11111110010111010…
…000101010000001001
310021010021120220212021
4133302322011100021
51024404330130314
623403404244441
72316010630201
oct376272052011
9107107526767
1034140083209
111352a206901
126749540721
1332b102298b
14191c225401
15d4c320324
hex7f2e85409

34140083209 has 2 divisors, whose sum is σ = 34140083210. Its totient is φ = 34140083208.

The previous prime is 34140083207. The next prime is 34140083251. The reversal of 34140083209 is 90238004143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24909677584 + 9230405625 = 157828^2 + 96075^2 .

It is a cyclic number.

It is not a de Polignac number, because 34140083209 - 21 = 34140083207 is a prime.

Together with 34140083207, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (34140083207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17070041604 + 17070041605.

It is an arithmetic number, because the mean of its divisors is an integer number (17070041605).

Almost surely, 234140083209 is an apocalyptic number.

It is an amenable number.

34140083209 is a deficient number, since it is larger than the sum of its proper divisors (1).

34140083209 is an equidigital number, since it uses as much as digits as its factorization.

34140083209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 34140083209 in words is "thirty-four billion, one hundred forty million, eighty-three thousand, two hundred nine".