Evin’s calculator is broken and can only perform $3$ operations:
Operation $1$: Given a number $x$, output $2x$. 
Operation $2$: Given a number $x$, output $4x +1$. 
Operation $3$: Given a number $x$, output $8x +3$. 
After initially given the number $0$, how many numbers at most $128$ can he make?