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You can calculate this by measuring the energy the sun casts onto one square meter, and then multiplying that by the number of square meters on a sphere of radius 1 AU (presuming you are doing this all from Earth.)

The energy the Sun casts on one square meter in one second is known as the solar constant: 1.4×103 Joules

Then for "total" amount of sunlight you would multiply this by the number of seconds in ten billion years.

3.15 ×1017 Seconds

2.81 ×1023 Square Meters

So 1.23 ×1044 Joules of energy will be the total solar output if I haven't made any embarrassing mathematical errors.

This of course does not account for variations in the solar output: the sun is currently in a trend of increasing output, and will have massively increased rates for a short period when it swells up to a red giant.

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Q: What is the total amount of the sunlight?
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