In beta decay, the emitted beta particles have a range of values of their kinetic energy. The maximum energy $E_{\max }$  of beta particles emitted in the decay of $C^{14}$ is 0.165 MeV. Assuming number of beta particles (dN) with energy between E and E + dE have the form $dN \propto \sqrt{E}\times {(E_{\max }-E)}^2\times dE.$ Let a sample of $C^{14}$ is decaying into $N^{14}$ and activity is kept constant at rate 1 millicurie. All beta particles emitted are being absorbed by a target and causing evolution of heat. If the heat evolution rate is $x\times {10}^{6}MeV/s,$ find $x$ (rounded off to nearest integer)