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The naming procedure for large numbers is based on taking the number n occurring in 10 3n+3 (short scale) or 10 6n (long scale) and concatenating Latin roots for its units, tens, and hundreds place, together with the suffix -illion. In this way, numbers up to 10 3·999+3 = 10 3000 (short scale) or 10 6·999 = 10 5994 (long scale
When truncating, a number of this order of magnitude is between 10 6 and 10 7. In a similar example, with the phrase "seven-figure income", the order of magnitude is the number of figures minus one, so it is very easily determined without a calculator to be 6. An order of magnitude is an approximate position on a logarithmic scale.
In some places, the large number names were then applied to the smaller numbers, following the new punctuation scheme. Thus, in France and Italy, some scientists then began using billion to mean 10 9, trillion to mean 10 12, etc. [28] This usage formed the origins of the later short scale.
The number of cells in the human body (estimated at 3.72 × 10 13), or 37.2 trillion/37.2 T [3] The number of bits on a computer hard disk (as of 2024, typically about 10 13, 1–2 TB), or 10 trillion/10T; The number of neuronal connections in the human brain (estimated at 10 14), or 100 trillion/100 T
1/52! chance of a specific shuffle Mathematics: The chances of shuffling a standard 52-card deck in any specific order is around 1.24 × 10 −68 (or exactly 1 ⁄ 52!) [4] Computing: The number 1.4 × 10 −45 is approximately equal to the smallest positive non-zero value that can be represented by a single-precision IEEE floating-point value.
Visualization of 1 trillion (short scale) A Rubik's cube, which has about 43 trillion (long scale) possible positions. Trillion is a number with two distinct definitions: 1,000,000,000,000, i.e. one million million, or 10 12 (ten to the twelfth power), as defined on the short scale. This is now the meaning in both American and British English.
To help compare different distances this section lists lengths starting at 10 15 m (1 Pm or 1 trillion km or 6685 astronomical units (AU) or 0.11 light-years). 1.0 Pm = 0.105702341 light-years 1.9 Pm ± 0.5 Pm = 12,000 AU = 0.2 light-year radius of Cat's Eye Nebula 's inner core [ 194 ] [ 195 ]
1×10 −1: multiplication of two 10-digit numbers by a 1940s electromechanical desk calculator [1] 3×10 −1: multiplication on Zuse Z3 and Z4, first programmable digital computers, 1941 and 1945 respectively; 5×10 −1: computing power of the average human mental calculation [clarification needed] for multiplication using pen and paper