40978916224064

Names of 40978916224064

• Cardinal: 40978916224064 can be written as Forty trillion, nine hundred seventy-eight billion, nine hundred sixteen million, two hundred twenty-four thousand and sixty-four.

Scientific notation

• Scientific notation: 4.0978916224064 × 10¹³

Factors of 40978916224064

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 13769596

Divisors of 40978916224064

• Number of divisors d(n): 168
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 73 91 98 104 112 146 182 196 208 224 292 364 392 416 448 511 584 637 728 784 832 949 1022 1168 1274 1456 1568 1898 2044 2336 2548 2912 3136 3577 3796 4088 4672 5096 5824 6643 7154 7592 8176 10192 13286 14308 15184 16352 20384 26572 28616 30368 32704 40768 46501 53144 57232 60736 93002 106288 114464 186004 212576 228928 372008 425152 744016 1488032 2976064 13769501 27539002 55078004 96386507 110156008 179003513 192773014 220312016 358007026 385546028 440624032 674705549 716014052 771092056 881248064 1005173573 1253024591 1349411098 1432028104 1542184112 2010347146 2506049182 2698822196 2864056208 3084368224 4020694292 5012098364 5397644392 5728112416 6168736448 7036215011 8041388584 8771172137 10024196728 10795288784 11456224832 13067256449 14072430022 16082777168 17542344274 20048393456 21590577568 26134512898 28144860044 32165554336 35084688548 40096786912 43181155136 49253505077 52269025796 56289720088 64331108672 70169377096 80193573824 91470795143 98507010154 104538051592 112579440176 140338754192 182941590286 197014020308 209076103184 225158880352 280677508384 365883180572 394028040616 418152206368 450317760704 561355016768 640295566001 731766361144 788056081232 836304412736 1280591132002 1463532722288 1576112162464 2561182264004 2927065444576 3152224324928 5122364528008 5854130889152 10244729056016 20489458112032 40978916224064
• Sum of all divisors σ(n): 103265812277208
• Sum of proper divisors (its aliquot sum) s(n): 62286896053144
• 40978916224064 is an abundant number, because the sum of its proper divisors (62286896053144) is greater than itself. Its abundance is 21307979829080

Bases of 40978916224064

• Binary: 1001010100010100100101101111101010110001000000₂
• Hexadecimal: 0x254525BEAC40
• Base-36: EIXGCOBI8

Squares and roots of 40978916224064

• 40978916224064 squared (40978916224064²) is 1679271574898855719452676096
• 40978916224064 cubed (40978916224064³) is 68814729185232223181707987636636352774144
• The square root of 40978916224064 is 6401477.6594208309
• The cube root of 40978916224064 is 34476.2607042179

Scales and comparisons

• 40,978,916,224,064 seconds is equal to 1,303,002 years, 40 weeks, 3 days, 20 hours, 27 minutes, 44 seconds.
• To count from 1 to 40,978,916,224,064 would take you about three million, two hundred fifty-seven thousand, five hundred six years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 40978916224064 cubic inches would be around 2873 feet tall.

Recreational maths with 40978916224064

• 40978916224064 backwards is 46042261987904
• The number of decimal digits it has is: 14
• The sum of 40978916224064's digits is 62
• More coming soon!