34242211224243 has 12 divisors (see below), whose sum is σ = 53957423747448. Its totient is φ = 20752855287360.

The previous prime is 34242211224203. The next prime is 34242211224259.

34242211224243 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 221 + 1 + 2 + 2 + 424 + 3 = 666.

34242211224243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34242211224243 - 2³⁷ = 34104772270771 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34242211224198 and 34242211224207.

It is not an unprimeable number, because it can be changed into a prime (34242211224203) 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 11 ways as a sum of consecutive naturals, for example, 172940460630 + ... + 172940460827.

It is an arithmetic number, because the mean of its divisors is an integer number (4496451978954).

Almost surely, 2^{34242211224243} is an apocalyptic number.

34242211224243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34242211224243 is a deficient number, since it is larger than the sum of its proper divisors (19715212523205).

34242211224243 is a wasteful number, since it uses less digits than its factorization.

34242211224243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345880921474 (or 345880921471 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 3424221 and 1224243, that added together give a palindrome (4648464).

The spelling of 34242211224243 in words is "thirty-four trillion, two hundred forty-two billion, two hundred eleven million, two hundred twenty-four thousand, two hundred forty-three".