320142241023 has 32 divisors (see below), whose sum is σ = 475486405632. Its totient is φ = 189970675200.

The previous prime is 320142240919. The next prime is 320142241043.

It is a happy number.

320142241023 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 320142241023 - 2³⁴ = 302962371839 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 320142240984 and 320142241002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320142241043) 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, 154983 + ... + 815048.

It is an arithmetic number, because the mean of its divisors is an integer number (14858950176).

Almost surely, 2^320142241023 is an apocalyptic number.

320142241023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

320142241023 is a deficient number, since it is larger than the sum of its proper divisors (155344164609).

320142241023 is a wasteful number, since it uses less digits than its factorization.

320142241023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970255.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 320142 and 241023, that added together give a palindrome (561165).

The spelling of 320142241023 in words is "three hundred twenty billion, one hundred forty-two million, two hundred forty-one thousand, twenty-three".