314340241100 has 72 divisors (see below), whose sum is σ = 693273960960. Its totient is φ = 123688788480.

The previous prime is 314340241097. The next prime is 314340241121. The reversal of 314340241100 is 1142043413.

It is a super-2 number, since 2×314340241100² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2739686 + ... + 2852114.

Almost surely, 2^314340241100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314340241100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346636980480).

314340241100 is an abundant number, since it is smaller than the sum of its proper divisors (378933719860).

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

314340241100 is a wasteful number, since it uses less digits than its factorization.

314340241100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112899 (or 112892 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 314340241100 its reverse (1142043413), we get a palindrome (315482284513).

The spelling of 314340241100 in words is "three hundred fourteen billion, three hundred forty million, two hundred forty-one thousand, one hundred".