| Base | Representation |
|---|---|
| bin | 11010010000111111… |
| … | …10111010011000000 |
| 3 | 1100101201220220122000 |
| 4 | 31020133313103000 |
| 5 | 212334402330100 |
| 6 | 10251125544000 |
| 7 | 1006304226150 |
| oct | 151037672300 |
| 9 | 40351826560 |
| 10 | 14101214400 |
| 11 | 5a8684a0a9 |
| 12 | 2896575000 |
| 13 | 1439589360 |
| 14 | 97ab02760 |
| 15 | 577e77900 |
| hex | 3487f74c0 |
14101214400 has 1344 divisors, whose sum is σ = 67305692160. Its totient is φ = 2786918400.
The previous prime is 14101214327. The next prime is 14101214423. The reversal of 14101214400 is 441210141.
14101214400 is a `hidden beast` number, since 1 + 410 + 1 + 214 + 40 + 0 = 666.
14101214400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1344).
It is a Harshad number since it is a multiple of its sum of digits (18).
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 191 ways as a sum of consecutive naturals, for example, 66830295 + ... + 66830505.
It is an arithmetic number, because the mean of its divisors is an integer number (50078640).
Almost surely, 214101214400 is an apocalyptic number.
14101214400 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 14101214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33652846080).
14101214400 is an abundant number, since it is smaller than the sum of its proper divisors (53204477760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14101214400 is a wasteful number, since it uses less digits than its factorization.
14101214400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 279 (or 258 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 18.
Adding to 14101214400 its reverse (441210141), we get a palindrome (14542424541).
The spelling of 14101214400 in words is "fourteen billion, one hundred one million, two hundred fourteen thousand, four hundred".
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