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34122341241 = 323791371249
BaseRepresentation
bin11111110001110110…
…011001101101111001
310021002001012112110100
4133301312121231321
51024340304404431
623401532110013
72315404054302
oct376166315571
9107061175410
1034122341241
111352019901a
126743605309
1332aa450281
141919b277a9
15d4a9b84e6
hex7f1d99b79

34122341241 has 6 divisors (see below), whose sum is σ = 49287826250. Its totient is φ = 22748227488.

The previous prime is 34122341213. The next prime is 34122341249. The reversal of 34122341241 is 14214322143.

34122341241 is a `hidden beast` number, since 3 + 412 + 2 + 3 + 4 + 1 + 241 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33854528016 + 267813225 = 183996^2 + 16365^2 .

It is not a de Polignac number, because 34122341241 - 29 = 34122340729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34122341249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1895685616 + ... + 1895685633.

Almost surely, 234122341241 is an apocalyptic number.

It is an amenable number.

34122341241 is a deficient number, since it is larger than the sum of its proper divisors (15165485009).

34122341241 is a wasteful number, since it uses less digits than its factorization.

34122341241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791371255 (or 3791371252 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 34122341241 its reverse (14214322143), we get a palindrome (48336663384).

The spelling of 34122341241 in words is "thirty-four billion, one hundred twenty-two million, three hundred forty-one thousand, two hundred forty-one".

Divisors: 1 3 9 3791371249 11374113747 34122341241