40729027048131072

Names of 40729027048131072

• Cardinal: 40729027048131072 can be written as Forty quadrillion, seven hundred twenty-nine trillion, twenty-seven billion, forty-eight million, one hundred thirty-one thousand and seventy-two.

Scientific notation

• Scientific notation: 4.0729027048131072 × 10¹⁶

Factors of 40729027048131072

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 279937

Divisors of 40729027048131072

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 211 224 256 294 336 384 392 422 448 512 588 633 672 768 784 844 896 1176 1266 1344 1477 1536 1568 1688 1792 2352 2532 2688 2954 3136 3376 3584 4431 4704 5064 5376 5908 6272 6752 8862 9408 9491 10128 10339 10752 11816 12544 13504 17724 18816 18982 20256 20678 23632 25088 27008 28473 31017 35448 37632 37964 40512 41356 47264 54016 56946 62034 66437 70896 75264 75928 81024 82712 94528 108032 113892 124068 132874 141792 151856 162048 165424 189056 199311 227784 248136 265748 270223 283584 303712 324096 330848 378112 398622 455568 465059 496272 531496 540446 567168 607424 661696 756224 797244 810669 911136 930118 992544 1062992 1080892 1134336 1214848 1323392 1395177 1594488 1621338 1822272 1860236 1891561 1985088 2002601 2125984 2161784 2268672 2429696 2646784 2790354 3188976 3242676 3644544 3720472 3783122 3970176 4005202 4251968 4323568 4859392 5293568 5580708 5674683 6007803 6377952 6485352 7289088 7440944 7566244 7940352 8010404 8503936 8647136 11161416 11349366 12015606 12755904 12970704 13240927 14018207 14578176 14881888 15132488 15880704 16020808 17007872 17294272 22322832 22698732 24031212 25511808 25941408 26481854 28036414 29763776 30264976 32041616 34015744 34588544 39722781 42054621 44645664 45397464 48062424 51023616 51882816 52963708 56072828 57017053 59527552 60529952 64083232 69177088 79445562 84109242 89291328 90794928 96124848 98127449 102047232 103765632 105927416 112145656 114034106 119055104 121059904 128166464 138354176 158891124 168218484 171051159 178582656 181589856 192249696 196254898 207531264 211854832 224291312 228068212 238110208 242119808 256332928 294382347 317782248 336436968 342102318 357165312 363179712 384499392 392509796 399119371 415062528 423709664 448582624 456136424 484239616 512665856 588764694 635564496 672873936 684204636 714330624 726359424 768998784 785019592 798238742 847419328 897165248 912272848 968479232 1025331712 1177529388 1197358113 1271128992 1345747872 1368409272 1452718848 1537997568 1570039184 1596477484 1694838656 1794330496 1824545696 2355058776 2394716226 2542257984 2564686493 2691495744 2736818544 2793835597 2905437696 3075995136 3140078368 3192954968 3389677312 3588660992 3649091392 4710117552 4789432452 5084515968 5129372986 5382991488 5473637088 5587671194 6280156736 6385909936 6779354624 7177321984 7298182784 7694059479 8381506791 9420235104 9578864904 10169031936 10258745972 10765982976 10947274176 11175342388 12560313472 12771819872 14596365568 15388118958 16763013582 17952805451 18840470208 19157729808 20338063872 20517491944 21531965952 21894548352 22350684776 25120626944 25543639744 29192731136 30776237916 33526027164 35905610902 37680940416 38315459616 41034983888 43789096704 44701369552 50241253888 51087279488 53858416353 61552475832 67052054328 71811221804 75361880832 76630919232 82069967776 87578193408 89402739104 102174558976 107716832706 123104951664 125669638157 134104108656 143622443608 150723761664 153261838464 164139935552 178805478208 204349117952 215433665412 246209903328 251339276314 268208217312 287244887216 306523676928 328279871104 357610956416 377008914471 430867330824 492419806656 502678552628 536416434624 541148850023 574489774432 613047353856 656559742208 715221912832 754017828942 861734661648 984839613312 1005357105256 1072832869248 1082297700046 1148979548864 1313119484416 1430443825664 1508035657884 1623446550069 1723469323296 1969679226624 2010714210512 2145665738496 2164595400092 2297959097728 3016071315768 3246893100138 3446938646592 3788041950161 3939358453248 4021428421024 4291331476992 4329190800184 4595918195456 6032142631536 6493786200276 6893877293184 7576083900322 8042856842048 8658381600368 9191836390912 11364125850483 12064285263072 12987572400552 13787754586368 15152167800644 16085713684096 17316763200736 22728251700966 24128570526144 25975144801104 26516293651127 27575509172736 30304335601288 32171427368192 34633526401472 45456503401932 48257141052288 51950289602208 53032587302254 60608671202576 64342854736384 69267052802944 79548880953381 90913006803864 96514282104576 103900579204416 106065174604508 121217342405152 138534105605888 159097761906762 181826013607728 193028564209152 207801158408832 212130349209016 242434684810304 277068211211776 318195523813524 363652027215456 415602316817664 424260698418032 484869369620608 636391047627048 727304054430912 831204633635328 848521396836064 969738739241216 1272782095254096 1454608108861824 1697042793672128 1939477478482432 2545564190508192 2909216217723648 3394085587344256 5091128381016384 5818432435447296 6788171174688512 10182256762032768 13576342349377024 20364513524065536 40729027048131072
• Sum of all divisors σ(n): 126831751382375424
• Sum of proper divisors (its aliquot sum) s(n): 86102724334244352
• 40729027048131072 is an abundant number, because the sum of its proper divisors (86102724334244352) is greater than itself. Its abundance is 45373697286113280

Bases of 40729027048131072

• Binary: 10010000101100101101010110010101010000000100101000000000₂
• Hexadecimal: 0x90B2D595404A00
• Base-36: B518GQ053PC

Squares and roots of 40729027048131072

• 40729027048131072 squared (40729027048131072²) is 1658853644287392464370488091869184
• 40729027048131072 cubed (40729027048131072³) is 67563494947072007631601022891791872628866309685248
• The square root of 40729027048131072 is 201814338.0638032665
• The cube root of 40729027048131072 is 344060.3909887467

Scales and comparisons

• 40,729,027,048,131,072 seconds is equal to 1,295,057,076 years, 50 weeks, 6 days, 51 minutes, 12 seconds.
• To count from 1 to 40,729,027,048,131,072 would take you about three billion, eight hundred eighty-five million, one hundred seventy-one thousand, two hundred thirty 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 40729027048131072 cubic inches would be around 28671.7 feet tall.

Recreational maths with 40729027048131072

• 40729027048131072 backwards is 27013184072092704
• The number of decimal digits it has is: 17
• The sum of 40729027048131072's digits is 57
• More coming soon!