9814072356 (number)
| 9814072356 | |
|---|---|
| Cardinal | nine billion eight hundred fourteen million seventy-two thousand three hundred fifty-six |
| Ordinal | 9814072356th (nine billion eight hundred fourteen million seventy-two thousand three hundred fifty-sixth) |
| Factorization | 22 × 32 × 112 × 192 × 792 |
| Greek numeral | ͵βτνϚ´ |
| Roman numeral | IXMDCCCXMMMMLXXMMCCCLVI |
| Binary | 10010010001111011011011100001001002 |
| Ternary | 2210222212201121001003 |
| Quaternary | 210203312313002104 |
| Quinary | 1300444003034115 |
| Senary | 43015013441006 |
| Octal | 1110755560448 |
| Duodecimal | 1A9A86803012 |
| Hexadecimal | 248F6DC2416 |
| Vigesimal | 7D6HJ0HG20 |
| Base 36 | 4IB1MP036 |
9814072356 or 9,814,072,356 is 99066 squared, and is the eighty-seventh and largest square number using each of the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0 exactly once[1] (sequence A036745 in the OEIS).
More generally, it is also the largest distinct-digit perfect power being the 657th such number (OEIS: A075309). Note that the digital root of both 9814072356 and 657 is 9.
It is the square of the third largest 5-digit strobogrammatic number (99866 and 99166 being larger).
It is also a member of OEIS: A090516, the sequence of perfect powers where all neighboring digits are distinct.
All the prime digits are adjacent 7,2,3,5 in a cycle, which is equal to the cycle {2357} of the natural order.
9814072356 is a permutation: of order 10 read left to right, and of order 6 ({9},{8},{2,3},{0,6,4,7,1,5}) read right to left.
In base 2 and 3 its last 6 digits are the same (100100).
This number occasionally appears in Recreational Mathematics, or as a problem in a book or paper.[2]
It is a pandigital square [3] and also a digital square ("digital numbers are those which contain the nine digits, and each digit only once.")[4]
See also[edit]
References[edit]
- Madachy, J. S. Madachy's Mathematical Recreations. New York: Dover, pp. 159 and 165, 1979.
- David Wells, ed. Curious and Interesting Numbers 1988, page 192 and 193
This article "9814072356 (number)" is from Wikipedia. The list of its authors can be seen in its historical. Articles copied from Draft Namespace on Wikipedia could be seen on the Draft Namespace of Wikipedia and not main one.
- ↑ The Education Outlook. S. Birch. Search this book on
- ↑ Beiler, Albert H. Recreations in the Theory of Numbers: The Queen of Mathematics Entertains. Courier Corporation. ISBN 9780486210964. Search this book on
- ↑ Wells, David. The Penguin Dictionary of Curious and Interesting Numbers. Penguin. ISBN 9780140261493. Search this book on
- ↑ Mathematical Questions and Solutions, from the "Educational Times.". F. Hodgson. Search this book on
