34244144144243 has 8 divisors (see below), whose sum is σ = 37357994873520. Its totient is φ = 31130417867680.

The previous prime is 34244144144191. The next prime is 34244144144263.

34244144144243 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34244144144243 - 2¹⁸ = 34244143882099 is a prime.

It is a super-2 number, since 2×34244144144243² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34244144144194 and 34244144144203.

It is not an unprimeable number, because it can be changed into a prime (34244144144263) 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 7 ways as a sum of consecutive naturals, for example, 30537380 + ... + 31638897.

It is an arithmetic number, because the mean of its divisors is an integer number (4669749359190).

Almost surely, 2^{34244144144243} is an apocalyptic number.

34244144144243 is a deficient number, since it is larger than the sum of its proper divisors (3113850729277).

34244144144243 is a wasteful number, since it uses less digits than its factorization.

34244144144243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62226357.

The product of its digits is 2359296, while the sum is 44.

It can be divided in two parts, 3424414 and 4144243, that added together give a palindrome (7568657).

The spelling of 34244144144243 in words is "thirty-four trillion, two hundred forty-four billion, one hundred forty-four million, one hundred forty-four thousand, two hundred forty-three".