34123444432143 has 32 divisors (see below), whose sum is σ = 49660543521792. Its totient is φ = 20669859945600.

The previous prime is 34123444432139. The next prime is 34123444432157.

34123444432143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34123444432143 - 2² = 34123444432139 is a prime.

It is a super-2 number, since 2×34123444432143² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34123444432095 and 34123444432104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34123444432643) 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, 767607505 + ... + 767651957.

It is an arithmetic number, because the mean of its divisors is an integer number (1551891985056).

Almost surely, 2^{34123444432143} is an apocalyptic number.

34123444432143 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34123444432143 is a deficient number, since it is larger than the sum of its proper divisors (15537099089649).

34123444432143 is a wasteful number, since it uses less digits than its factorization.

34123444432143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56335.

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

It can be divided in two parts, 3412344 and 4432143, that added together give a palindrome (7844487).

The spelling of 34123444432143 in words is "thirty-four trillion, one hundred twenty-three billion, four hundred forty-four million, four hundred thirty-two thousand, one hundred forty-three".