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Des Dichado is wrong. Obviously, the number cannot be calculated exactly, but it can certainly be approximated. Wikipedia gives the six most abundant elements by mass in humans (constituting 98.7%) as, in order, oxygen (65%), carbon (18.5%), hydrogen (9.5%), nitrogen (3.2%), calcium (1.5%), and phosphorus (1%). Given the mass of a person, it's simple math to calculate the number of moles of each element in the person. Each element has a most abundant isotope, which has a known number of subatomic particles. I calculated that an 80 kg human (~176 lbs) has approximately 7.36*10^28 protons, neutrons, and electrons.

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