Numbers 3,500,000,000s

A page of the Numeropedia - the Special Encyclopedia of Numbers

3,000,000,000 3,100,000,0003,200,000,0003,300,000,0003,400,000,000

3,500,000,0003,600,000,0003,700,000,0003,800,000,000 – 3,900,000,000

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 ...

3,518,744,435

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

3,518,744,435 = 75032+…+75642 = 75652+…+76252.

 

3,521,235,600

[Math.]   Sum of the first 344 cube numbers:

13+…+3443 = 3,521,235,600 = (1+2+…+344)2 = 59,3402.

 

3,528,716,409

[Math.]   594032 = 3,528,716,409, a square number using each of 10 digits 0-9 once. (The 35th of 87 such numbers). The 55th such number is 76182, whose combined digits also use each of 10 digits 0-9 once.

 

3,562,299,225

[Math.]   Sum of the first 345 cube numbers:

13+…+3453 = 3,562,299,225 = (1+2+…+345)2 = 59,6852.

 

3,574,218,751

[Math.]   Its odd powers end with 3,574,218,751. Its even powers end with 0,000,000,001.

 

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.