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14422124430 = 2325733891201
BaseRepresentation
bin11010110111010000…
…00010011110001110
31101020002202211102200
431123220002132032
5214014030440210
610343032102330
71020252015000
oct153350023616
941202684380
1014422124430
116130a055aa
122965b349a6
13148abc884c
149ab59a370
155962170c0
hex35ba0278e

14422124430 has 192 divisors, whose sum is σ = 43877808000. Its totient is φ = 3285273600.

The previous prime is 14422124429. The next prime is 14422124441. The reversal of 14422124430 is 3442122441.

14422124430 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 212 + 443 + 0 = 666.

14422124430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14422124394 and 14422124403.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 12007830 + ... + 12009030.

It is an arithmetic number, because the mean of its divisors is an integer number (228530250).

Almost surely, 214422124430 is an apocalyptic number.

14422124430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14422124430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21938904000).

14422124430 is an abundant number, since it is smaller than the sum of its proper divisors (29455683570).

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

14422124430 is a wasteful number, since it uses less digits than its factorization.

14422124430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14422124430 its reverse (3442122441), we get a palindrome (17864246871).

The spelling of 14422124430 in words is "fourteen billion, four hundred twenty-two million, one hundred twenty-four thousand, four hundred thirty".