34044122144043 has 24 divisors (see below), whose sum is σ = 53814511451376. Its totient is φ = 20567713579200.

The previous prime is 34044122144009. The next prime is 34044122144093.

34044122144043 is a `hidden beast` number, since 34 + 0 + 4 + 4 + 1 + 2 + 214 + 404 + 3 = 666.

34044122144043 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-34044122144043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34044122143989 and 34044122144007.

It is not an unprimeable number, because it can be changed into a prime (34044122144093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542366128 + ... + 542428893.

It is an arithmetic number, because the mean of its divisors is an integer number (2242271310474).

Almost surely, 2^{34044122144043} is an apocalyptic number.

34044122144043 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34044122144043 is a deficient number, since it is larger than the sum of its proper divisors (19770389307333).

34044122144043 is a wasteful number, since it uses less digits than its factorization.

34044122144043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084795355 (or 1084795352 counting only the distinct ones).

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

It can be divided in two parts, 3404412 and 2144043, that added together give a palindrome (5548455).

The spelling of 34044122144043 in words is "thirty-four trillion, forty-four billion, one hundred twenty-two million, one hundred forty-four thousand, forty-three".