What is this quantity?? What does it mean in terms of more well known things like head loss in pipe etc

R (resistance) = 3x10^11 kg/m4s.

This is what's written in the manual for the microchannel that I bought..

Its supposed to be the resistance to fluid flow through the microchannel....but I can't make head or tail of what it is, since, i've never seen units kg/(m^4)(s) before.....

can anyone interpret this in terms of head loss in the channel, or something more familiar??

Those units are equal to (Pa·s/m³), which would imply that this quantity is directly proportional to (or perhaps equal to) pressure divided by flow rate.

I've never come across this quantity either, but if it is analogous to electrical resistance, than I would guess that

R = pressure/flowrate

Where pressure is analogous to voltage and flowrate is analogous to electric current.