114310401 has 16 divisors (see below), whose sum is σ = 155317440. Its totient is φ = 74761920.

The previous prime is 114310387. The next prime is 114310409. The reversal of 114310401 is 104013411.

114310401 = T₂₇₈ + T₂₇₉ + ... + T₈₉₀.

It is not a de Polignac number, because 114310401 - 2⁹ = 114309889 is a prime.

It is a super-3 number, since 3×114310401³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (114310409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111670 + ... + 112688.

It is an arithmetic number, because the mean of its divisors is an integer number (9707340).

Almost surely, 2^114310401 is an apocalyptic number.

It is an amenable number.

114310401 is a deficient number, since it is larger than the sum of its proper divisors (41007039).

114310401 is a wasteful number, since it uses less digits than its factorization.

114310401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 114310401 is about 10691.6042294877. The cubic root of 114310401 is about 485.3204400964.

Adding to 114310401 its reverse (104013411), we get a palindrome (218323812).

The spelling of 114310401 in words is "one hundred fourteen million, three hundred ten thousand, four hundred one".