A page of the Numeropedia - the Special Encyclopedia of Numbers

– 9,100,000,000 – 9,200,000,000 – 9,300,000,000 – 9,400,000,0009,500,000,000 – 9,600,000,000 – 9,700,000,000 – 9,800,000,000 – 9,900,000,000

All Numbers – __[__1B] – [2B] – [3B] – [4B] – [5B] – [6B] – [7B] – [8B] – [9B] & [10B]

1 - 10 - 100 - 1000 - 10,000 - 100,000 - 1M - 10M - 100M - 1B - 10B - 100B - 1T - 10T - 100T - 1Q ...

**9,135,780,246 **

[Math.] 4,567,890,123 and 4,567,890,123×2 = 9,135,780,246 are all pan-digital numbers.

** **

**9,159,064,209 **

[Math.] Sum of the first 437 cube numbers:

1^{3}+…+437^{3 }= 9,159,064,209 = (1+2+…+437)^{2} = 95,703^{2}.

** **

**9,179,282,825**

[Math.] Two consecutive sums of consecutive square numbers:

9,179,282,825 = 11026^{2}+…+11100^{2} = 11101^{2}+…+11174^{2}.

** **

**9,192,631,770 **

[Tech.] The resonance frequency (

*Hz*, Hertz) of Cesium-133 (Cs), corresponding to the transition between two hyperfine levels of its ground state. Or:

The standard 1-second duration is 9,192,631,770 periods of Cesium-133 atom oscillation, corresponding to the transition between two hyperfine levels of its ground state. Adopted by the International Systems (SI) of units in 1967.

* *

**x,yzw,abc,def**

[Math.] For any *x,yzw* = 1000 to 9999, there are always six 6-digit numbers *abc,edf *such that *x,yzw* +*abc,def* is equal to one of 6 digit-rotations of 142,857 and the number *x,yzw,abc,def* is a multiple of 142,857.

For any *x,yzw* = 1000 to 9999, there are always twelve 6-digit numbers *abc,edf *such that *x,yzw* +*abc,def* is equal to one of 12 digit-rotations of 076,923 or 153,846 and the number *x,yzw,abc,def* is a multiple of 76,923.