A perfectly reflecting mirror of mass M mounted on a spring constitutes a spring-mass system of angular frequency $$Ω$$ such that $$\frac{4 \pi M Ω}{h} = 10^{24} m^{-2}$$ with h as Planck’s constant. N photons of wavelength $$\lambda = 8 \pi \times 10^{-6} m$$ strike the mirror simultaneously at normal incidence such that the mirror gets displaced by $$1 \mu m.$$ If the value of N is $$x \times 10^{12},$$ then the value of x is ________ .
[Consider the spring as mass less]