The total power consumption by all humans on earth is approximately \(10^{13} \mathrm{~W}\). Let's compare this to the power of incoming solar radiation. The intensity of radiation from the sun at the top of the atmosphere is \(1380 \mathrm{~W} / \mathrm{m}^{2}\). The earth's radius is \(6.37 \times 10^{6} \mathrm{~m}\).

a. What is the total solar power received by the earth?

b. By what factor does this exceed the total human power consumption?