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How many cells are in a newborn?

How many times must a fertilized ovum divide to form a normal term baby?

Does this account for the placenta?

The placenta functions as a fetomaternal organ with two components: the fetal placenta (Chorion frondosum), which develops from the same blastocyst that forms the fetus, and the maternal placenta (Decidua basalis), which develops from the maternal uterine tissue

How fast is the cell division curve in each month?

The minimum number of divisions to reach this number is LOG_{2}(2x10^{12}) = LOG_{10}(2x10^{12})/LOG_{10}(2) ≈ 41 divisions.