40137009922741824

Names of 40137009922741824

• Cardinal: 40137009922741824 can be written as Forty quadrillion, one hundred thirty-seven trillion, nine billion, nine hundred twenty-two million, seven hundred forty-one thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 4.0137009922741824 × 10¹⁶

Factors of 40137009922741824

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 146473

Divisors of 40137009922741824

• Number of divisors d(n): 315
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 361 432 456 513 576 608 648 684 722 864 912 1026 1083 1216 1296 1368 1444 1539 1728 1824 2052 2166 2592 2736 2888 3078 3249 3648 4104 4332 5184 5472 5776 6156 6498 8208 8664 9747 10944 11552 12312 12996 16416 17328 19494 23104 24624 25992 29241 32832 34656 38988 49248 51984 58482 69312 77976 98496 103968 116964 146449 155952 207936 233928 292898 311904 439347 467856 585796 623808 878694 935712 1171592 1318041 1757388 1871424 2343184 2636082 2782531 3514776 3954123 4686368 5272164 5565062 7029552 7908246 8347593 9372736 10544328 11130124 11862369 14059104 15816492 16695186 21088656 22260248 23724738 25042779 28118208 31632984 33390372 42177312 44520496 47449476 50085558 52868089 63265968 66780744 75128337 84354624 89040992 94898952 100171116 105736178 126531936 133561488 150256674 158604267 178081984 189797904 200342232 211472356 225385011 253063872 267122976 300513348 317208534 379595808 400684464 422944712 450770022 475812801 534245952 601026696 634417068 759191616 801368928 845889424 901540044 951625602 1202053392 1268834136 1427438403 1602737856 1691778848 1803080088 1903251204 2404106784 2537668272 2854876806 3383557696 3606160176 3806502408 4282315209 4808213568 5075336544 5709753612 7212320352 7613004816 8564630418 10150673088 11419507224 14424640704 15226009632 17129260836 21447309601 22839014448 30452019264 34258521672 42894619202 45678028896 64341928803 68517043344 85789238404 91356057792 128683857606 137034086688 171578476808 193025786409 257367715212 274068173376 343156953616 386051572818 407498882419 514735430424 579077359227 686313907232 772103145636 814997764838 1029470860848 1158154718454 1222496647257 1372627814464 1544206291272 1629995529676 1737232077681 2058941721696 2316309436908 2444993294514 3088412582544 3259991059352 3474464155362 3667489941771 4117883443392 4632618873816 4889986589028 6176825165088 6519982118704 6948928310724 7334979883542 7742478765961 9265237747632 9779973178056 11002469825313 12353650330176 13039964237408 13897856621448 14669959767084 15484957531922 18530475495264 19559946356112 22004939650626 23227436297883 26079928474816 27795713242896 29339919534168 30969915063844 33007409475939 37060950990528 39119892712224 44009879301252 46454872595766 55591426485792 58679839068336 61939830127688 66014818951878 69682308893649 78239785424448 88019758602504 92909745191532 111182852971584 117359678136672 123879660255376 132029637903756 139364617787298 176039517205008 185819490383064 209046926680947 234719356273344 247759320510752 264059275807512 278729235574596 352079034410016 371638980766128 418093853361894 495518641021504 528118551615024 557458471149192 627140780042841 704158068820032 743277961532256 836187706723788 1056237103230048 1114916942298384 1254281560085682 1486555923064512 1672375413447576 2112474206460096 2229833884596768 2508563120171364 3344750826895152 4459667769193536 5017126240342728 6689501653790304 10034252480685456 13379003307580608 20068504961370912 40137009922741824
• Sum of all divisors σ(n): 125571144768708177
• Sum of proper divisors (its aliquot sum) s(n): 85434134845966353
• 40137009922741824 is an abundant number, because the sum of its proper divisors (85434134845966353) is greater than itself. Its abundance is 45297124923224529

Bases of 40137009922741824

• Binary: 10001110100110000110010111011010110010101001011001000000₂
• Hexadecimal: 0x8E9865DACA9640
• Base-36: AZ7DRT54400

Squares and roots of 40137009922741824

• 40137009922741824 squared (40137009922741824²) is 1610979565538275640581305758846976
• 40137009922741824 cubed (40137009922741824³) is 64659902807344081962008640879355401554946771124224
• 40137009922741824 is a perfect square number. Its square root is 200342232
• The cube root of 40137009922741824 is 342385.2171469563

Scales and comparisons

• 40,137,009,922,741,824 seconds is equal to 1,276,232,763 years, 32 weeks, 1 day, 15 hours, 50 minutes, 24 seconds.
• To count from 1 to 40,137,009,922,741,824 would take you about three billion, eight hundred twenty-eight million, six hundred ninety-eight thousand, two hundred ninety 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 40137009922741824 cubic inches would be around 28532.1 feet tall.

Recreational maths with 40137009922741824

• 40137009922741824 backwards is 42814722990073104
• The number of decimal digits it has is: 17
• The sum of 40137009922741824's digits is 63
• More coming soon!