Number whose Square is in 2 Identical Halves
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Theorem
The number $36 \, 363 \, 636 \, 364$ has the property that its square can be split into two identical halves:
- $36 \, 363 \, 636 \, 364 = 1 \, 322 \, 314 \, 049 \, 613 \, 223 \, 140 \, 496$
Proof
It just does.
Historical Note
David Wells reports in Curious and Interesting Numbers, 2nd ed. of $1997$ that this factoid appears in Volume $14$ of Journal of Recreational Mathematics, but gives no further information.
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $36,363,636,364$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $36,363,636,364$