The expression $2\cdot 3 \cdot 4\cdot 5+1$ is equal to $121$, since multiplication is carried out before addition. However, we can obtain values other than $121$ for this expression if we are allowed to change it by inserting parentheses. For example, we can obtain $144$ by writing\[
(2\cdot (3\cdot 4)) \cdot (5+1) = 144.
\]In total, how many values can be obtained from the expression $2\cdot 3\cdot 4 \cdot 5 + 1$ by inserting parentheses? (Note that rearranging terms is not allowed, only inserting parentheses).