Numbers 5,800,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

5,000,000,000 5,100,000,0005,200,000,0005,300,000,0005,400,000,000

5,500,000,0005,600,000,0005,700,000,0005,800,000,000 – 5,900,000,000

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 ...

5,802,782,976

[Math.]   (1+2+…+23)4 = [(15+25+…+235)+(17+27+…+237)]/2.

 

5,803,697,124

[Math.]   761822 = 5,803,697,124, a square number using each of 10 digits 0-9 once. (The 55th of 87 such numbers). The 35th such number is 59403, whose combined digits also use each of 10 digits 0-9 once.

 

5,813,300,025

[Math.]   Sum of the first 390 cube numbers:

13+…+3903 = 5,813,300,025 = (1+2+…+390)2 = 76,2452.

 

5,873,076,496

[Math.]   Sum of the first 391 cube numbers:

13+…+3913 = 5,873,076,496 = (1+2+…+391)2 = 76,6362.

 

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.