114140313434301 has 64 divisors (see below), whose sum is σ = 191657103298560. Its totient is φ = 58696905116160.

The previous prime is 114140313434269. The next prime is 114140313434317. The reversal of 114140313434301 is 103434313041411.

It is not a de Polignac number, because 114140313434301 - 2⁵ = 114140313434269 is a prime.

It is a super-3 number, since 3×114140313434301³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114140313434321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6338055 + ... + 16384491.

It is an arithmetic number, because the mean of its divisors is an integer number (2994642239040).

Almost surely, 2^{114140313434301} is an apocalyptic number.

114140313434301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114140313434301 is a deficient number, since it is larger than the sum of its proper divisors (77516789864259).

114140313434301 is a wasteful number, since it uses less digits than its factorization.

114140313434301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10046954.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 114140313434301 its reverse (103434313041411), we get a palindrome (217574626475712).

The spelling of 114140313434301 in words is "one hundred fourteen trillion, one hundred forty billion, three hundred thirteen million, four hundred thirty-four thousand, three hundred one".