Numbers 4,300,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

4,000,000,000 4,100,000,0004,200,000,0004,300,000,0004,400,000,000

4,500,000,0004,600,000,0004,700,000,0004,800,000,000 – 4,900,000,000

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 ...

4,307,821,956

[Math.]   656342 = 4,307,821,956, a square number using each of 10 digits 0-9 once. (The 43rd of 87 such numbers).

 

4,308,215,769

[Math.]   656372 = 4,308,215,769, a square number using each of 10 digits 0-9 once. (The 44th of 87 such numbers).

 

4,316,884,209

[Math.]   Sum of the first 362 cube numbers:

13+…+3623 = 4,316,884,209 = (1+2+…+362)2 = 65,7032.

 

4,320,987,615

[Math.]   One of 27 special permutations of the pan-digital number 1,234,567,890: 123,456,789×35 = 4,320,987,615.

 

4,321,098,765

[Math.]   4,321,098,765 and 4,321,098,765´2 = 8,642,197,530 are all pan-digital numbers.

 

4,354,703,137

[Math.]   Square and cube of number 1633 use different digits: 16332 = 2,666,689 and 16333 = 4,354,703,137.

 

4,364,716,356

[Math.]   Sum of the first 363 cube numbers:

13+…+3633 = 4,364,716,356 = (1+2+…+363)2 = 66,0662.

 

4,369,871,025

[Math.]   661052 = 4,369,871,025, a square number using each of 10 digits 0-9 once. (The 45th of 87 such numbers).

 

4,392,508,176

[Math.]   662762 = 4,392,508,176, a square number using each of 10 digits 0-9 once. (The 46th of 87 such numbers).

 

4,395,061,728

[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.

 

4,395,643,956 & 4,399,999,956

[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.