114144314301140 has 12 divisors (see below), whose sum is σ = 239703060032436. Its totient is φ = 45657725720448.

The previous prime is 114144314301113. The next prime is 114144314301161. The reversal of 114144314301140 is 41103413441411.

It can be written as a sum of positive squares in 2 ways, for example, as 68106298043716 + 46038016257424 = 8252654^2 + 6785132^2 .

It is a junction number, because it is equal to n+sod(n) for n = 114144314301097 and 114144314301106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2853607857509 + ... + 2853607857548.

It is an arithmetic number, because the mean of its divisors is an integer number (19975255002703).

Almost surely, 2^{114144314301140} is an apocalyptic number.

114144314301140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114144314301140 is an abundant number, since it is smaller than the sum of its proper divisors (125558745731296).

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

114144314301140 is a wasteful number, since it uses less digits than its factorization.

114144314301140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5707215715066 (or 5707215715064 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 114144314301140 its reverse (41103413441411), we get a palindrome (155247727742551).

The spelling of 114144314301140 in words is "one hundred fourteen trillion, one hundred forty-four billion, three hundred fourteen million, three hundred one thousand, one hundred forty".