114053140305 has 48 divisors (see below), whose sum is σ = 215815703376. Its totient is φ = 55380049920.

The previous prime is 114053140291. The next prime is 114053140319. The reversal of 114053140305 is 503041350411.

It is a happy number.

114053140305 is a `hidden beast` number, since 1 + 1 + 40 + 5 + 314 + 0 + 305 = 666.

It is an interprime number because it is at equal distance from previous prime (114053140291) and next prime (114053140319).

It can be written as a sum of positive squares in 8 ways, for example, as 1366706961 + 112686433344 = 36969^2 + 335688^2 .

It is not a de Polignac number, because 114053140305 - 2²² = 114048946001 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1292656 + ... + 1378065.

It is an arithmetic number, because the mean of its divisors is an integer number (4496160487).

Almost surely, 2^114053140305 is an apocalyptic number.

114053140305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114053140305 is a deficient number, since it is larger than the sum of its proper divisors (101762563071).

114053140305 is a wasteful number, since it uses less digits than its factorization.

114053140305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2670818 (or 2670815 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 114053140305 its reverse (503041350411), we get a palindrome (617094490716).

The spelling of 114053140305 in words is "one hundred fourteen billion, fifty-three million, one hundred forty thousand, three hundred five".