242211404305 has 24 divisors (see below), whose sum is σ = 332507222712. Its totient is φ = 168342392832.

The previous prime is 242211404291. The next prime is 242211404377. The reversal of 242211404305 is 503404112242.

It can be written as a sum of positive squares in 12 ways, for example, as 1295352081 + 240916052224 = 35991^2 + 490832^2 .

It is not a de Polignac number, because 242211404305 - 2⁵ = 242211404273 is a prime.

It is a Duffinian number.

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, 6428152 + ... + 6465721.

It is an arithmetic number, because the mean of its divisors is an integer number (13854467613).

Almost surely, 2^242211404305 is an apocalyptic number.

It is an amenable number.

242211404305 is a deficient number, since it is larger than the sum of its proper divisors (90295818407).

242211404305 is a wasteful number, since it uses less digits than its factorization.

242211404305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12893925 (or 12893908 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 242211404305 its reverse (503404112242), we get a palindrome (745615516547).

The spelling of 242211404305 in words is "two hundred forty-two billion, two hundred eleven million, four hundred four thousand, three hundred five".