14431314334100 has 36 divisors (see below), whose sum is σ = 31906819137564. Its totient is φ = 5663610151680.

The previous prime is 14431314334013. The next prime is 14431314334117. The reversal of 14431314334100 is 143341313441.

It can be written as a sum of positive squares in 6 ways, for example, as 26541623056 + 14404772711044 = 162916^2 + 3795362^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1361439449 + ... + 1361450048.

It is an arithmetic number, because the mean of its divisors is an integer number (886300531599).

Almost surely, 2^{14431314334100} is an apocalyptic number.

14431314334100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14431314334100 is an abundant number, since it is smaller than the sum of its proper divisors (17475504803464).

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

14431314334100 is a wasteful number, since it uses less digits than its factorization.

14431314334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2722889564 (or 2722889557 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 14431314334100 its reverse (143341313441), we get a palindrome (14574655647541).

The spelling of 14431314334100 in words is "fourteen trillion, four hundred thirty-one billion, three hundred fourteen million, three hundred thirty-four thousand, one hundred".