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h / 1 kg = 6.62607×10^-34 m^2/s

So that unit (m^2/s) looks like I can use the standard constants the speed of light and the metre.

h / (1 kg * 1 m * c) = 6.62607×10^-34 m^2/s / (1 m * c)

= 2.2102191×10^-42

Consequently after rearranging, we get:

1 kg = h / (2.2102191×10^-42 m * c)

~ 4.5244383E+41 h / (c * 1 m)

Is that all there is to it? Just some weird huge number multiplied by the Planck divided by the speed of light and the meter? Do I need to throw some Pi's or Euler's numbers in there too?