A non-conducting rod of length L with linear charge density $\lambda ={\lambda }_{0}x$ where x is the distance from end A is rotating with constant angular speed $\omega$ about the same end. If the angular velocity of the rod ($\omega$) is large, then the magnetic dipole moment of the system is $\frac{\omega {\lambda }_0{L}^4}{n}$. What is the value of $n$?