2^10 x 3^14 x 5^8 =

2^1 x 3^1 x 5^2 =150

Subtract the exponents of the same base numbers and add 1 in each case as follows:

[10 - 1 + 1] x [14 - 1 + 1] x [8 - 2 + 1] =10 x 14 x 7 = 980 such numbers.

answer from guest. the link is not working for some reason.