13829000241 has 8 divisors (see below), whose sum is σ = 21072762304. Its totient is φ = 7902285840.

The previous prime is 13829000239. The next prime is 13829000281. The reversal of 13829000241 is 14200092831.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13829000241 - 2¹ = 13829000239 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13829000199 and 13829000208.

It is not an unprimeable number, because it can be changed into a prime (13829000201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329261890 + ... + 329261931.

It is an arithmetic number, because the mean of its divisors is an integer number (2634095288).

Almost surely, 2^13829000241 is an apocalyptic number.

It is an amenable number.

13829000241 is a deficient number, since it is larger than the sum of its proper divisors (7243762063).

13829000241 is an equidigital number, since it uses as much as digits as its factorization.

13829000241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658523831.

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 13829000241 in words is "thirteen billion, eight hundred twenty-nine million, two hundred forty-one", and thus it is an aban number.