A problem by Pankaj Joshi

Level pending

If \(30!\) = \(2^{x_1} * 3^{x_2} * 5^{x_3} * 7^{x_4} * 11^{x_5} * 13^{x_6} * 17^{x_7} * 19^{x_8} * 23^{x_9} * 29^{x_{10}}\) , then \(\sum_{i=1}^{10} x_i\) is equal to

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