14234144100 has 144 divisors (see below), whose sum is σ = 45009160896. Its totient is φ = 3444480000.

The previous prime is 14234144087. The next prime is 14234144117. The reversal of 14234144100 is 144143241.

14234144100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14234144100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1979712 + ... + 1986888.

Almost surely, 2^14234144100 is an apocalyptic number.

14234144100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14234144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22504580448).

14234144100 is an abundant number, since it is smaller than the sum of its proper divisors (30775016796).

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

14234144100 is a wasteful number, since it uses less digits than its factorization.

14234144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7806 (or 7799 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14234144100 its reverse (144143241), we get a palindrome (14378287341).

The spelling of 14234144100 in words is "fourteen billion, two hundred thirty-four million, one hundred forty-four thousand, one hundred".