114004442310 has 128 divisors (see below), whose sum is σ = 304518113280. Its totient is φ = 27084288000.

The previous prime is 114004442287. The next prime is 114004442359. The reversal of 114004442310 is 13244400411.

It is a super-2 number, since 2×114004442310² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3301635 + ... + 3335985.

It is an arithmetic number, because the mean of its divisors is an integer number (2379047760).

Almost surely, 2^114004442310 is an apocalyptic number.

114004442310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114004442310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152259056640).

114004442310 is an abundant number, since it is smaller than the sum of its proper divisors (190513670970).

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

114004442310 is a wasteful number, since it uses less digits than its factorization.

114004442310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34574.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 114004442310 its reverse (13244400411), we get a palindrome (127248842721).

The spelling of 114004442310 in words is "one hundred fourteen billion, four million, four hundred forty-two thousand, three hundred ten".