...the EXACT overflow value of the micros() ...
Well, let's do a little arithmetic. The return data type of micros()
is an unsigned long integer (32 bits). Now, 2 to the power 32 is equal to EXACTLY 4294967296, and the variable would overflow if it were incremented from a count of 429467295. See Footnote.
If the return value represents microseconds, it overflows at a value of
EXACTLY 4294.967296 seconds.
This is EXACTLY 71.58728827 minutes or EXACTLY 71 Minutes, 34.967396 seconds
The clock may not be EXACTLY 16 MHz. In fact reports of Uno boards supplied with resonators seem to indicate that the clock may be off by something over 1000 parts per million, or 0.1% Official Duemilanove boards with crystals that I have personally measured have shown variations on the order of 100-200 parts per million (0.01%-0.02%). Some people are surprised, since crystals are typically specified to be accurate to a few tens of parts per million. That's at a given temperature and with a particular load capacitance (input capacitance of the Arduino clock pins plus "stray" circuit capacitance).
There are two sources of uncertainty:1.
We have no way of knowing EXACTLY what the specified crystal tolerances are for parts supplied with the boards.2.
Atmel data sheets don't actually give a precise specification of the EXACT input capacitance of the clock pins to which the crystal (or resonator) is attached. That's typical for many (most) microprocessors and other basically digital circuits: The on-chip oscillator circuit consists of a few transistors whose exact parameters are not especially tightly controlled (or specified) by the manufacturer.
Bottom line: No, I can't tell you EXACTLY when the micros() return value overflows to zero, since that depends on your board (and the temperature and the exact operating voltage, etc. etc.), but it's APPROXIMATELY 71 minutes and 34.967396 seconds.
In fact, the return value from micros() is always a multiple of 4, so the overflow to zero occurs when the return value is incremented (by a value of 4) from 4294967292. But who's counting? Bottom line, it's still about 70 minutes.