Numbers 1,900,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

1,000,000,0001,100,000,0001,200,000,0001,300,000,0001,400,000,000

1,500,000,0001,600,000,0001,700,000,0001,800,000,000 – 1,900,000,000

[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 ...

1,906,195,600

[Math.]   Sum of the first 295 cube numbers:

13+…+2953 = 1,906,195,600 = (1+2+…+295)2 = 43,6602.

1,923,010,155

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

1,923,010,155 = 58862+…+59402 = 59412+…+59942.

1,927,385,604

[Math.]   439022 = 1,927,385,604, a square number using each of 10 digits 0-9 once. (The 15th of 87 such numbers).

1,932,129,936

[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 = 43956

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.

[Math.]   Sum of the first 296 cube numbers:

13+…+2963 = 1,880,523,225 = (1+2+…+296)2 = 43,9562.

1,934,917,632

[Math.]   1,934,917,632 = (1+9+3+4+9+1+7+6+32)5 = 725.

1,934,917,632

[Math.]   The smallest 5th power that can be expressed as the sum of five 5th powers, (Lander & Parkin, 1966): 1,934,917,632 = 725 = 675+475+465+435+195.

1,937,408,256

[Math.]   440162 = 1,937,408,256, a square number using each of 10 digits 0-9 once. (The 16th of 87 such numbers).

1,944,810,000

[Math.]   (1+2+…+20)4 = [(15+25+…+205)+(17+27+…+207)]/2.

1,958,328,009

[Math.]   Sum of the first 297 cube numbers:

13+…+2973 = 1,958,328,009 = (1+2+…+297)2 = 44,2532.

1,975,308,624

[Math.]   One of 27 special permutations of the pan-digital number 1,234,567,890: 123,456,789×16 = 1,975,308,624.

1,975,308,624

[Math.]   Pan-digital number factorization:

2,469,135,7802 = 1,975,308,624×3,086,419,725.

1,975,308,642

[Math.]   One of six permutations of the pan-digital number 1,234,567,890: 987,654,321×2 = 1,975,308,642.

1,975,308,642

[Math.]   Pan-digital number factorization:  1,975,308,642×7,901,234,568 = 3,950,617,2842.

1,977,405,119

[Math.]   1,977,405,119 = 23+35+57+711.

1,983,009,961, 1,983,099,024, 1,983,188,089, 1,983,277,156, 1,983,366,225,

1,983,455,296, 1,983,544,369, 1,983,633,444, 1,983,722,521, 1,983,811,600 &

1,983,900,681

[Math.]   Ten (or eleven) consecutive squares with ten double digits 00, 11, … and 99 in the middle.

 x x2 x x2 44,531 1,983,009,961 44,532 1,983,099,024 44,537 1,983,544,369 44,533 1,983,188,089 44,538 1,983,633,444 44,534 1,983,277,156 44,539 1,983,722,521 44,535 1,983,366,225 44,540 1,983,811,600 44,536 1,983,455,296 44,541 1,983,900,681

1,984,791,601

[Math.]   Sum of the first 298 cube numbers:

13+…+2983 = 1,984,791,601 = (1+2+…+298)2 = 44,5512.

1,999,999,998

[Math.]   444,444,4443 = 877914949+355281209+76680384

and 87791494+935528120+976680384 = 1,999,999,998 = 2×999,999,999

888,888,8883 = 702331959484224967813443072

and 702331959+484224967+813443072 = 1,999,999,998 = 2×999,999,999

999,999,9993 = 999999997000000002999999999

and 999999997+000000002+999999999 = 1,999,999,998 = 2×999,999,999.

...

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.