242141413100 has 144 divisors (see below), whose sum is σ = 576696422400. Its totient is φ = 87894616320.

The previous prime is 242141413093. The next prime is 242141413117. The reversal of 242141413100 is 1314141242.

It is a super-2 number, since 2×242141413100² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6980399 + ... + 7015001.

Almost surely, 2^242141413100 is an apocalyptic number.

242141413100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242141413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288348211200).

242141413100 is an abundant number, since it is smaller than the sum of its proper divisors (334555009300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242141413100 is a wasteful number, since it uses less digits than its factorization.

242141413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34792 (or 34785 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 242141413100 its reverse (1314141242), we get a palindrome (243455554342).

The spelling of 242141413100 in words is "two hundred forty-two billion, one hundred forty-one million, four hundred thirteen thousand, one hundred".