233145414103240 has 128 divisors (see below), whose sum is σ = 555807835964160. Its totient is φ = 87713438654464.

The previous prime is 233145414103237. The next prime is 233145414103319. The reversal of 233145414103240 is 42301414541332.

It is a super-2 number, since 2×233145414103240² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 233145414103240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8589509109 + ... + 8589536251.

It is an arithmetic number, because the mean of its divisors is an integer number (4342248718470).

Almost surely, 2^{233145414103240} is an apocalyptic number.

233145414103240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233145414103240 is an abundant number, since it is smaller than the sum of its proper divisors (322662421860920).

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

233145414103240 is a wasteful number, since it uses less digits than its factorization.

233145414103240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35191 (or 35187 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 233145414103240 its reverse (42301414541332), we get a palindrome (275446828644572).

The spelling of 233145414103240 in words is "two hundred thirty-three trillion, one hundred forty-five billion, four hundred fourteen million, one hundred three thousand, two hundred forty".