A page of the Numeropedia - the Special Encyclopedia of Numbers

8,000,000,000 – 8,100,000,000 – 8,200,000,000 – 8,300,000,000 – 8,400,000,000

8,500,000,000 – 8,600,000,000 – 8,700,000,000 – 8,800,000,000 – 8,900,000,000

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 ...

**8,000,000,000**,** 8,000,000,008, 8,000,000,800 & 8,000,000,808 **

[Language & Math.] The first numbers in the list of numbers sorted by the English alphabetical order are: eight (8), eight billion (8,000,000,000), eight billion eight (8,000,000,008), eight billion eight hundred (8,000,000,800), eight billion eight hundred eight (8,000,000,808)…

(See also Numbers 8,800,000,000s and References [3])

**8,000,000,003 **

[Math.] (Sequence of numbers 80…03^{2} = 640…0480…09).

8000000003^{2} = 64000000048000000009 = (–6+4–00000004+8,000,000,009)^{2}.

** **

**8,000,000,005 **

[Math.] (Sequence of numbers 80…05

^{2}= 640…080…025).

8000000005^{2} = 64000000080000000025 = (–6+4+0000000+8000000002+5)^{2}.

** **

**8,000,000,008 **

[Math.] The number 8,000,000,008 = 2^{3}×7×11×13×19×52,579 has 8 prime factors.

** **

**8,011,532,460**

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

8,011,532,460 = 10440^{2}+…+10512^{2} = 10513^{2}+…+10584^{2}.

** **

**8,014,367,529**

[Math.] 89523^{2} = 8,014,367,529, a square number using each of 10 digits 0-9 once. (The 74^{th} of 87 such numbers).

** **

**8,018,018,849 & 8,018,018,851**

[Language & Math.] The number 8,018,018,851 is the first prime number in the list of prime numbers sorted by the English alphabetical order, whose twin prime number, 8,018,018,849 (*eight billion eighteen million eighteen thousand eight hundred forty nine*), surprisingly, is the very next prime number in the list.

(See also Numbers 8,800,000,000s and References [3])

** **

**8,018,018,851**

[Language & Math.] The number 8,018,018,851 was claimed by Donald Knuth as the first prime number in the list of prime numbers sorted by the English alphabetical order, *eight billion eighteen million eighteen thousand eight hundred fifty one*. It is true if number 800 is preferably written as “eight-hundred”, instead of “eight hundred”.

(See also Numbers 8,800,000,000s and References [3])

** **

**8,024,024,008 **

[Math.] (Sequence of numbers 20…02).

2002^{3} = 8,024,024,008 = (–8+02402–400+8)^{3}.

** **

**8,041,784,976**

[Math.] Sum of the first 423 cube numbers:

1^{3}+…+423^{3 }= 8,041,784,976 = (1+2+…+423)^{2} = 89,676^{2}.

**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.

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References [3]: Conway & Guy, the Book of Numbers, p.15, 1996.