114403144100140 has 144 divisors (see below), whose sum is σ = 280763869075200. Its totient is φ = 39042717372288.

The previous prime is 114403144100083. The next prime is 114403144100149. The reversal of 114403144100140 is 41001441304411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 114403144100099 and 114403144100108.

It is not an unprimeable number, because it can be changed into a prime (114403144100149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254651031 + ... + 255099889.

It is an arithmetic number, because the mean of its divisors is an integer number (1949749090800).

Almost surely, 2^{114403144100140} is an apocalyptic number.

114403144100140 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 114403144100140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140381934537600).

114403144100140 is an abundant number, since it is smaller than the sum of its proper divisors (166360724975060).

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

114403144100140 is a wasteful number, since it uses less digits than its factorization.

114403144100140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450084 (or 450075 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 114403144100140 its reverse (41001441304411), we get a palindrome (155404585404551).

The spelling of 114403144100140 in words is "one hundred fourteen trillion, four hundred three billion, one hundred forty-four million, one hundred thousand, one hundred forty".