114434200301140 has 24 divisors (see below), whose sum is σ = 244251358678152. Its totient is φ = 45023291921280.

The previous prime is 114434200301129. The next prime is 114434200301153. The reversal of 114434200301140 is 41103002434411.

It can be written as a sum of positive squares in 4 ways, for example, as 5416921095184 + 109017279205956 = 2327428^2 + 10441134^2 .

It is a super-2 number, since 2×114434200301140² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114434200301099 and 114434200301108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46899261199 + ... + 46899263638.

It is an arithmetic number, because the mean of its divisors is an integer number (10177139944923).

Almost surely, 2^{114434200301140} is an apocalyptic number.

114434200301140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114434200301140 is an abundant number, since it is smaller than the sum of its proper divisors (129817158377012).

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

114434200301140 is a wasteful number, since it uses less digits than its factorization.

114434200301140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93798524907 (or 93798524905 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 114434200301140 its reverse (41103002434411), we get a palindrome (155537202735551).

The spelling of 114434200301140 in words is "one hundred fourteen trillion, four hundred thirty-four billion, two hundred million, three hundred one thousand, one hundred forty".