I don't think you know how IQ or bell curves work: 50% are >100, 16% are >115, 2.5% are >130, etc. The tails are real flat. Only need 170 to be 1 in a million, 190 for 1 in a billion.
An IQ >200 is around 1 in 190 billion, which is more humans than have ever lived. An IQ >300 would occur once in every 10⁴⁰ humans, a population with more mass than the galaxy.
