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34140444029 is a prime number
BaseRepresentation
bin11111110010111011…
…011101010101111101
310021010022021020210222
4133302323131111331
51024404423202104
623403420111125
72316013662146
oct376273352575
9107108236728
1034140444029
111352a4329aa
1267496954a5
1332b111ac93
14191c2baacd
15d4c3921be
hex7f2edd57d

34140444029 has 2 divisors, whose sum is σ = 34140444030. Its totient is φ = 34140444028.

The previous prime is 34140444007. The next prime is 34140444031. The reversal of 34140444029 is 92044404143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29955647929 + 4184796100 = 173077^2 + 64690^2 .

It is an emirp because it is prime and its reverse (92044404143) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34140444029 is a prime.

Together with 34140444031, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34140444029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34140444929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17070222014 + 17070222015.

It is an arithmetic number, because the mean of its divisors is an integer number (17070222015).

Almost surely, 234140444029 is an apocalyptic number.

It is an amenable number.

34140444029 is a deficient number, since it is larger than the sum of its proper divisors (1).

34140444029 is an equidigital number, since it uses as much as digits as its factorization.

34140444029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 34140444029 in words is "thirty-four billion, one hundred forty million, four hundred forty-four thousand, twenty-nine".