The rate constant, the activation energy and Arrhenius parameter of a chemical reaction at 25°C are $3.0\times {10}^{-4}{\mathrm{s}}^{-1},\mathrm{\hspace{0.17em}}1044 \mathrm{kJ} {\mathrm{mol}}^{-1}$ and $6.0\times {10}^{14}{\mathrm{s}}^{-1}$ respectively. The value of the rate constant as $\mathrm{T}\to \mathrm{\infty }$ is