Numbers 490,000,000,000s

490,470,512,896   

[Math.]  Sum of the first 1183 cube numbers:

13+…+11833 = 490,470,512,896 = (1+…+1183)2 = 700,3362.

 

492,130,310,400   

[Math.]  Sum of the first 1184 cube numbers:

13+…+11843 = 492,130,310,400 = (1+…+1184)2 = 701,5202.

 

493,794,317,025   

[Math.]   Sum of the first 1185 cube numbers:

13+…+11853 = 493,794,317,025 = (1+…+1185)2 = 702,7052.

 

495,462,539,881   

[Math.]    Sum of the first 1186 cube numbers:

13+…+11863 = 495,462,539,881 = (1+…+1186)2 = 703,8912.

 

495,766,656,000   

[Math.]    The order of the 15th sporadic group: Conway group Co3.

 

496,641,921,215

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

496,641,921,215 = 546152+…+547802 = 547812+…+549452.

 

497,134,986,084   

[Math.]  Sum of the first 1187 cube numbers:

13+…+11873 = 497,134,986,084 = (1+…+1187)2 = 705,0782.

 

498,811,662,756   

[Math.]  Sum of the first 1188 cube numbers:

13+…+11883 = 498,811,662,756 = (1+…+1188)2 = 706,2662.

 

499,999,999,997 & 499,999,999,999

[Math.]

94 = 47×2 and, reversely, 49 = 47+2

994 = 497×2 and, reversely, 499 = 497+2

999999994 =  499999997×2 and, reversely, 499999999 = 499999997+2

9999999994 =  4999999997×2 and, reversely, 4999999999 = 4999999997+2

99999999994 =  49999999997×2 and, reversely, 49999999999 = 49999999997+2

999999999994 =  499999999997×2 and, reversely, 499999999999 = 499999999997+2

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499,999,499,999        

[Math.]  (Sequence of numbers 49…949…9).

4999994999992 = 249999499999250001000001 = (249999+499999250001–000001)2.

 

499,999,500,000        

[Math.]  (Sequence of numbers 49…950…0 and 50…050…0).

249,999,500,000,250,000,000,000 = (249,999,500,000+250,000,000,000)2 = 499,999,500,0002 and

25,000,500,002,500,000,000 = (250,000,500,000+250,000,000,000)2 = 500,000,500,0002 and 499,999,500,000+500,000,500,000 = 1,000,000,000,000.

 

499,999,999,999        

[Math.]  Its odd powers end with 499,999,999,999. Its even powers end with 000,000,000,001.