The following is the Hasse diagram of the poset $\left[\{1,2,3,4,6,7,12,14,21,28,42,84\},\:\mid\right],$ where $\mid $ is the "divides" relation.
If the number of complements of $1,3$ and $4$ are $\alpha,\beta$ and $\gamma$ respectively, then the value of $2\alpha + 3 \beta + 4\gamma $ is ________