Sum of really Big CUBES !!!!!!!

Algebra Level 3

\(55067^{3} + 23058^{3} - 38683^{3} -39442^{3} = a \times 10^{n}\)

where \( 1< a < 10 \) and \(n\) is a positive number. What is the value of \(na^{2}\)?

Hint: \((A+B+C)^3 = A^{3} + B^{3} + C^{3} + 3(A+B)(B+C)(C+A)\)

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