Too fast Gengar

Number Theory Level 5

Gengar plans to build a conical shape by placing balls one on top of the other in rows.

The first row has 1 ball, the second has 6, the third has 20, the fourth has 56 balls, fifth has 144, sixth has 352 and so on.

He arranges a total of 32 rows. If keeping each ball in its designated position took him \[2 \times 10^{-6}\] seconds, then find the number of minutes it takes for him to build the entire cone.

Details and Assumptions

You may use a calculator.

Take integral part of seconds to find minutes and give integral part of minutes found as answer.


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