3114303001140 has 192 divisors, whose sum is σ = 9089530732800. Its totient is φ = 795749154816.

The previous prime is 3114303001129. The next prime is 3114303001141. The reversal of 3114303001140 is 411003034113.

It is a super-2 number, since 2×3114303001140² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114303001141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140697514 + ... + 140719646.

It is an arithmetic number, because the mean of its divisors is an integer number (47341305900).

Almost surely, 2^{3114303001140} is an apocalyptic number.

3114303001140 is a gapful number since it is divisible by the number (30) 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 3114303001140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4544765366400).

3114303001140 is an abundant number, since it is smaller than the sum of its proper divisors (5975227731660).

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

3114303001140 is a wasteful number, since it uses less digits than its factorization.

3114303001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22786 (or 22784 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 3114303001140 its reverse (411003034113), we get a palindrome (3525306035253).

The spelling of 3114303001140 in words is "three trillion, one hundred fourteen billion, three hundred three million, one thousand, one hundred forty".