Numbers 150,000,000,000s

150,264,769,600   

[Math.]  Sum of the first 880 cube numbers:

13+…+8803 = 150,264,769,600 = (1+…+880)2 = 387,6402.  

 

150,948,567,441   

[Math.]  Sum of the first 881 cube numbers:

13+…+8813 = 150,948,567,441 = (1+…+881)2 = 388,5212.  

 

151,391,650,605

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

151,391,650,605 = 339302+…+340602 = 340612+…+341902.

 

151,634,696,409   

[Math.]  Sum of the first 882 cube numbers:

13+…+8823 = 151,634,696,409 = (1+…+882)2 = 389,4032.  

 

152,323,161,796   

[Math.]   Sum of the first 883 cube numbers:

13+…+8833 = 152,323,161,796 = (1+…+883)2 = 390,2862 

 

152,344,237,969   

[Math.]  152,344,237,969 = (152,344+237,969)2 = 390,3132 and

371,718,237,969 = (371,718+237,969)2 = 609,6872 and 390313+609687 = 1,000,000.

 

152,631,002,882   

[Math.]   The sum s(n) = 2^(2n)+3^(2n)+5^(2n) is always divisible by 19 and the sum t(n) = 2^(4n)+3^(4n)+5^(4n) is always divisible by 192 for any integer n > 0

s(4) = 216+316+516 = 152,631,002,882 = t(2).

 

153,013,968,900   

[Math.]  Sum of the first 884 cube numbers:

13+…+8843 = 153,013,968,900 = (1+…+884)2 = 391,1702 

 

153,707,123,025   

[Math.]  Sum of the first 885 cube numbers:

13+…+8853 = 153,707,123,025 = (1+…+885)2 = 392,0552.

 

154,402,629,481   

[Math.]  Sum of the first 886 cube numbers:

13+…+8863 = 154,402,629,481 = (1+…+886)2 = 392,9412 

 

154,618,822,260   

[Math.]  Sum (in degrees) of all internal angles of an 858,993,459-side polygon. A regular 858,993,459-side polygon is constructible by using only straightedge and compass.

 

155,100,493,584  

[Math.]  Sum of the first 887 cube numbers:

13+…+8873 = 155,100,493,584 = (1+…+887)2 = 393,8282.

 

155,800,720,656   

[Math.]  Sum of the first 888 cube numbers:

13+…+8883 = 155,800,720,656 = (1+…+888)2 = 394,7162.

 

156,503,316,025   

[Math.]  Sum of the first 889 cube numbers:

13+…+8893 = 156,503,316,025 = (1+…+889)2 = 395,6052.

 

157,151,149,139 & 139,149,151,157   

[Math.]  The numbers formed by 4 consecutive prime numbers 139, 149, 151 and 157 in increasing or decreasing orders are prime.

 

157,208,285,025   

[Math.]    Sum of the first 890 cube numbers:

13+…+8903 = 157,208,285,025 = (1+…+890)2 = 396,4952 

 

157,281,734,830

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

157,281,734,830 = 344532+…+345842 = 345852+…+347152.

 

157,529,610,000   

[Math.]  (1+2+…+35)4 = [(15+25+…+355)+(17+27+…+357)]/2.

 

157,915,632,996   

[Math.]   Sum of the first 891 cube numbers:

13+…+8913 = 157,915,632,996 = (1+…+891)2 = 397,3862.  

 

158,625,365,284   

[Math.]   Sum of the first 892 cube numbers:

13+…+8923 = 158,625,365,284 = (1+…+892)2 = 398,2782 

 

159,337,487,241   

[Math.]   Sum of the first 893 cube numbers:

13+…+8933 = 159,337,487,241 = (1+…+893)2 = 399,1712 

 

159,498,730,125   

[Math.]    159,498,730,125 = 11×32×53×74×95.

 

159,999,999,984

[Math.]

7,683,984 = 1584×4851 = 27722                                                                    

782,432,784 = 15984×48951 = 279722

78,384,320,784 = 159984×489951 = 2799722

7,839,843,200,784 = 1599984×4899951 = 27999722

783,998,432,000,784 = 15999984×48999951 = 279999722

78,399,984,320,000,784 = 159999984×489999951 = 2799999722

7,839,999,843,200,000,784 = 1599999984×4899999951 = 27999999722

783,999,998,432,000,000,784 = 15999999984×48999999951 = 279999999722

78,399,999,984,320,000,000,784 = 159999999984×489999999951 = 2799999999722

 7839…9984320000784 = 159…999984×489…999951 = 279…9999722.