Numbers 8,700,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

8,000,000,000 8,100,000,0008,200,000,0008,300,000,0008,400,000,000

8,500,000,0008,600,000,0008,700,000,0008,800,000,000 – 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 - 100M1B10B - 100B - 1T - 10T - 100T - 1Q ...

8,747,486,784

[Math.]   Sum of the first 432 cube numbers:

13+…+4323 = 8,747,486,784 = (1+2+…+432)2 = 93,5282.

 

8,765,432,019

[Math.]   One of 27 special permutations of the pan-digital number 1,234,567,890: 123,456,789×71 = 8,765,432,019.

 

8,790,123,456

[Math.]   Number 1,098,765,432 and its multiples:

1,098,765,432×2 = 2,197,530,864; 1,098,765,432×4 = 4,395,061,728;

1,098,765,432×5 = 5,493,827,160; 1,098,765,432×7 = 7,691,358,024 and

1,098,765,432×8 = 8,790,123,456 are all pan-digital numbers.

Hence, there are pan-digital number equalities:

1,098,765,432×4,395,061,728 = 2,197,530,8642

2,197,530,864×8,790,123,456 = 4,395,061,7282.

 

8,791,287,912 & 8,799,999,912

[Math.] 

(*)   8712 = 2178×4 & 8712×2178 = 18,974,736 = 43562 (= 664)

8712…8712 = 2178…2178×4 & 8712…8712×2178…2178 = 4356…43562

 

(**)   87912 = 21978×4 & 21978×87912 = 1,932,129,936 = 439562

87912…87912 = 21978…21978×4 & 21978…21978×87912…87912 = 43956…439562

 

(***)   8799999912 = 2199999978×4 & 2199999978×8799999912 = 43999999562

8799999912…8799999912 = 2199999978…2199999978×4 &

2199999978…2199999978×8799999912…8799999912 = 4399999956…43999999562

 

(****)   879…912 = 219…978×4 & 219…978×879…912 = 439…9562

879…912…879…912 = 219…978…219…978×4 &

              219...978...219...978×879...912...879...912 = 439...956...439...9562.

 

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.