| Base | Representation |
|---|---|
| bin | 11011000111001110… |
| … | …01010110011100000 |
| 3 | 1101120102220012202200 |
| 4 | 31203213022303200 |
| 5 | 214302331123034 |
| 6 | 10404220013200 |
| 7 | 1023466633365 |
| oct | 154347126340 |
| 9 | 41512805680 |
| 10 | 14556114144 |
| 11 | 619a602000 |
| 12 | 29a2991200 |
| 13 | 14ac8b02c0 |
| 14 | 9c12b846c |
| 15 | 5a2d82a99 |
| hex | 3639cace0 |
14556114144 has 576 divisors, whose sum is σ = 51567280128. Its totient is φ = 3863946240.
The previous prime is 14556114137. The next prime is 14556114151. The reversal of 14556114144 is 44141165541.
14556114144 is a `hidden beast` number, since 1 + 45 + 561 + 14 + 1 + 44 = 666.
14556114144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (14556114137) and next prime (14556114151).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 14556114099 and 14556114108.
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, 114615009 + ... + 114615135.
It is an arithmetic number, because the mean of its divisors is an integer number (89526528).
Almost surely, 214556114144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 14556114144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25783640064).
14556114144 is an abundant number, since it is smaller than the sum of its proper divisors (37011165984).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14556114144 is a wasteful number, since it uses less digits than its factorization.
14556114144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 212 (or 179 counting only the distinct ones).
The product of its digits is 38400, while the sum is 36.
Adding to 14556114144 its reverse (44141165541), we get a palindrome (58697279685).
The spelling of 14556114144 in words is "fourteen billion, five hundred fifty-six million, one hundred fourteen thousand, one hundred forty-four".
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