140 Followers Problem

\[\Large\lfloor \sqrt{x} \rfloor + \lfloor \sqrt{y} \rfloor + \lfloor \sqrt{z} \rfloor = 140\]

Find the number of non-negative integral solutions to the equation above.

Note: \(\lfloor k \rfloor\) represents the greatest integer less than or equal to \(k\).
You can use calculators to calculate the final sum.

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