So,
Both ag123 and stevestrong bring value to the discussion, but each is talking a different methodology.
Steve's suggestion about large-value capacitors basically involve two factors, ESR and RC.
You can read about ESR here:
https://www.avnet.com/wps/portal/abacus ... apacitors/
and RC is simply the time-constant. While one may think a large capacitor is the best filter, one must realize that current leads voltage (discharged cap appears as a short when connected to a voltage source and charges exponentially) and anytime a noise pulse comes along, the resistance of the DC input (wall wart, wiring, internal battery R, etc.) plus circuit trace resistance and solder joint resistance all come into calculating the R value. If R is 0 (never is) then a large value of C would create a very large impulse current that can cause crosstalk on the circuit board traces.
ag123 is discussing (I believe) input impedance to the A/D input pin on the chip. The rule-of-thumb is usually a DC resistance of < 10K. (If your analog voltage is a complex wave, like audio, then we need to be thinking < 10K impedance.) For voltage dividers, one could think of this as the "to ground" resistance being 10K Ohms maximum; the input Z to the junction of the 10K + A/D input will actually lower the 10K since it appears in parallel (not series) in a perfect world (perfect meaning the input voltage is created by a 0 Ohm current source - a perfect battery for example.)
https://learn.sparkfun.com/tutorials/me ... resistance
BUT, remember, if your AD reference is shaky, so is the digitized value. As I said previously, most folks just tie Vcc to Aref and that can be the entire issue.
Ray