242321444123242 has 48 divisors (see below), whose sum is σ = 403494635163816. Its totient is φ = 109053147632000.

The previous prime is 242321444123233. The next prime is 242321444123281.

242321444123242 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 204681636276601 + 37639807846641 = 14306699^2 + 6135129^2 .

It is a junction number, because it is equal to n+sod(n) for n = 242321444123195 and 242321444123204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1564528308 + ... + 1564683184.

Almost surely, 2^{242321444123242} is an apocalyptic number.

242321444123242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242321444123242 is a deficient number, since it is larger than the sum of its proper divisors (161173191040574).

242321444123242 is a wasteful number, since it uses less digits than its factorization.

242321444123242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219015 (or 219004 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

The spelling of 242321444123242 in words is "two hundred forty-two trillion, three hundred twenty-one billion, four hundred forty-four million, one hundred twenty-three thousand, two hundred forty-two".