40137135729617920

Names of 40137135729617920

• Cardinal: 40137135729617920 can be written as Forty quadrillion, one hundred thirty-seven trillion, one hundred thirty-five billion, seven hundred twenty-nine million, six hundred seventeen thousand, nine hundred twenty.

Scientific notation

• Scientific notation: 4.013713572961792 × 10¹⁶

Factors of 40137135729617920

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 21130146488

Divisors of 40137135729617920

• Number of divisors d(n): 176
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 40 53 56 64 70 80 106 112 128 140 160 212 224 256 265 280 320 371 424 448 512 530 560 640 742 848 896 1024 1060 1120 1280 1484 1696 1792 1855 2120 2240 2560 2968 3392 3584 3710 4240 4480 5120 5936 6784 7168 7420 8480 8960 11872 13568 14840 16960 17920 23744 27136 29680 33920 35840 47488 54272 59360 67840 94976 118720 135680 189952 237440 271360 379904 474880 949760 1899520 21130146421 42260292842 84520585684 105650732105 147911024947 169041171368 211301464210 295822049894 338082342736 422602928420 591644099788 676164685472 739555124735 845205856840 1119897760313 1183288199576 1352329370944 1479110249470 1690411713680 2239795520626 2366576399152 2704658741888 2958220498940 3380823427360 4479591041252 4733152798304 5409317483776 5599488801565 5916440997880 6761646854720 7839284322191 8959182082504 9466305596608 10818634967552 11198977603130 11832881995760 13523293709440 15678568644382 17918364165008 18932611193216 21637269935104 22397955206260 23665763991520 27046587418880 31357137288764 35836728330016 37865222386432 39196421610955 44795910412520 47331527983040 54093174837760 62714274577528 71673456660032 75730444772864 78392843221910 89591820825040 94663055966080 108186349675520 125428549155056 143346913320064 151460889545728 156785686443820 179183641650080 189326111932160 250857098310112 286693826640128 313571372887640 358367283300160 378652223864320 501714196620224 573387653280256 627142745775280 716734566600320 757304447728640 1003428393240448 1146775306560512 1254285491550560 1433469133200640 2006856786480896 2508570983101120 2866938266401280 4013713572961792 5017141966202240 5733876532802560 8027427145923584 10034283932404480 20068567864808960 40137135729617920
• Sum of all divisors σ(n): 112112838009361728
• Sum of proper divisors (its aliquot sum) s(n): 71975702279743808
• 40137135729617920 is an abundant number, because the sum of its proper divisors (71975702279743808) is greater than itself. Its abundance is 31838566550125888

Bases of 40137135729617920

• Binary: 10001110100110001000001100100101011101110010110000000000₂
• Hexadecimal: 0x8E988325772C00
• Base-36: AZ7FDLRA2V4

Squares and roots of 40137135729617920

• 40137135729617920 squared (40137135729617920²) is 1610989664577771439260709185126400
• 40137135729617920 cubed (40137135729617920³) is 64660510826169658467482660507963282240818905088000
• The square root of 40137135729617920 is 200342545.9796743223
• The cube root of 40137135729617920 is 342385.5748747297

Scales and comparisons

• 40,137,135,729,617,920 seconds is equal to 1,276,236,763 years, 46 weeks, 1 day, 18 hours, 18 minutes, 40 seconds.
• To count from 1 to 40,137,135,729,617,920 would take you about three billion, eight hundred twenty-eight million, seven hundred ten thousand, two hundred ninety-one 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 40137135729617920 cubic inches would be around 28532.1 feet tall.

Recreational maths with 40137135729617920

• 40137135729617920 backwards is 02971692753173104
• The number of decimal digits it has is: 17
• The sum of 40137135729617920's digits is 67
• More coming soon!