I can't find a cool name for this!

Algebra Level 3

(1+x)(1+x2)(1+x4)(1+x128)=r=0nxr (1+x)\big(1+x^2\big)\big(1+x^4\big) \ldots \big(1+x^{128}\big) = \displaystyle \sum_{r=0}^n x^r

Given the above equation, what is n?n?

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