3×1015

3×10^15 is a number equal to 3,000,000,000,000,000. In the short scale used in many modern contexts, this is three quadrillion; in the long scale, it would be described as three billiards. It is commonly written in scientific notation as 3×10^15 or 3e15.

Mathematical properties and representation: 3×10^15 can be factored as 3 × 2^15 × 5^15, since 10^15 = 2^15 × 5^15. The decimal form is a 3 followed by fifteen zeros. In binary or other bases, there is no simple, neat representation comparable to its decimal form.

Context and usage: Numbers of this magnitude arise in various scientific and engineering contexts as convenient scales for large counts or quantities. For example, 3×10^15 seconds is approximately 95 million years, illustrating how large a quantity this is when expressed in time. In data measurement or astronomy, such magnitudes can serve as order-of-magnitude references or benchmarks, helping to compare vastly large quantities without resorting to lengthy strings of zeros.

See also: Quadrillion, Billiard, Scientific notation, Powers of ten.