My numbers included the arsenals of all countries, and casualties for all reasons, including the direct blast, fallout, breakdown of infrastructure, the possibility of a nuclear winter, reduced food production, etc.

Even people in areas with no nukes, little fallout and not affected by nuclear winter could face mass starvation due to lack of fertilizers, diesel, spare parts for machines, etc.

Even in North America, Europe and North Asia, having the electric grids knocked out, central administrations crippled, much industry and agricultural infrastructure knocked out, followed by nuclear winter might see more people die from cold and starvation than from the nukes themselves.

Anyway, I don't think we really want to test this, even if the total numbers do not fully add up to complete destruction.