14244120302104 has 256 divisors, whose sum is σ = 36638179200000. Its totient is φ = 5129328153600.

The previous prime is 14244120302099. The next prime is 14244120302207. The reversal of 14244120302104 is 40120302144241.

It is a super-2 number, since 2×14244120302104² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23210442 + ... + 23816230.

It is an arithmetic number, because the mean of its divisors is an integer number (143117887500).

Almost surely, 2^{14244120302104} is an apocalyptic number.

14244120302104 is a gapful number since it is divisible by the number (14) 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 14244120302104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18319089600000).

14244120302104 is an abundant number, since it is smaller than the sum of its proper divisors (22394058897896).

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

14244120302104 is a wasteful number, since it uses less digits than its factorization.

14244120302104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605887 (or 605869 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 14244120302104 its reverse (40120302144241), we get a palindrome (54364422446345).

The spelling of 14244120302104 in words is "fourteen trillion, two hundred forty-four billion, one hundred twenty million, three hundred two thousand, one hundred four".