9814072356 (number)
Encyclopedia : 9 : 98 : 981 : 9814072356 (number)
9814072356 is 99066 squared, and is the eighty seventh and largest square number using the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0 exactly once - a pandigital number that is also a square, (sequence in OEIS).
| List of numbers - Integers 1000000000 9814072356 | |
|---|---|
| Cardinal | 9814072356 |
| Ordinal | 9814072356th |
| Factorization | [2^2 \cdot 3^2 \cdot 11^2 \cdot 19^2 \cdot 79^2] |
| Binary | 1001001000111101101101110000100100 |
| Hexadecimal | 248F6DC24 |
More generally, it is also the largest distinct-digit perfect power being the 657th such number .
It is the square of the third largest 5-digit strobogrammatic number (99866 and 99166 being larger).
It is also a member of sequence of perfect powers where all neighbouring digits are distinct.
9814072356 = (2 × 3 × 11 × 19 × 79) x (2 × 3 × 11 × 19 × 79).
All the prime digits are adjacent 7,2,3,5 in a cycle, which is equal to the cycle of the natural order.
9814072356 is a permutation: of order 10 read left to right, and of order 6 (,,,) read right to left.
In base 2 and 3 its last 6 digits are the same (100100).
See also
- Twin numbers
External links
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
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