14311402304100 has 216 divisors, whose sum is σ = 45522055401984. Its totient is φ = 3468832224000.

The previous prime is 14311402304093. The next prime is 14311402304119. The reversal of 14311402304100 is 140320411341.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 232180285 + ... + 232241915.

Almost surely, 2^{14311402304100} is an apocalyptic number.

14311402304100 is a gapful number since it is divisible by the number (10) 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 14311402304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22761027700992).

14311402304100 is an abundant number, since it is smaller than the sum of its proper divisors (31210653097884).

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

14311402304100 is a wasteful number, since it uses less digits than its factorization.

14311402304100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68067 (or 68049 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14311402304100 its reverse (140320411341), we get a palindrome (14451722715441).

The spelling of 14311402304100 in words is "fourteen trillion, three hundred eleven billion, four hundred two million, three hundred four thousand, one hundred".