34244133144243 has 32 divisors (see below), whose sum is σ = 50976908328192. Its totient is φ = 20267830195200.

The previous prime is 34244133144241. The next prime is 34244133144269.

34244133144243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34244133144243 - 2¹ = 34244133144241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34244133144195 and 34244133144204.

It is not an unprimeable number, because it can be changed into a prime (34244133144241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6037563 + ... + 10244043.

It is an arithmetic number, because the mean of its divisors is an integer number (1593028385256).

Almost surely, 2^{34244133144243} is an apocalyptic number.

34244133144243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34244133144243 is a deficient number, since it is larger than the sum of its proper divisors (16732775183949).

34244133144243 is a wasteful number, since it uses less digits than its factorization.

34244133144243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212275.

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 3424413 and 3144243, that added together give a palindrome (6568656).

The spelling of 34244133144243 in words is "thirty-four trillion, two hundred forty-four billion, one hundred thirty-three million, one hundred forty-four thousand, two hundred forty-three".