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 and fifty-sixth) |
| Factorization | 22 × 32 × 112 × 192 × 792 |
| 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 (sequence A036745 in the OEIS).
More generally, it is also the largest distinct-digit perfect power being the 657th such number (
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 A090516, the sequence of perfect powers where all neighbouring 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).
See also
References
- 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