38631146238281728

Names of 38631146238281728

• Cardinal: 38631146238281728 can be written as Thirty-eight quadrillion, six hundred thirty-one trillion, one hundred forty-six billion, two hundred thirty-eight million, two hundred eighty-one thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 3.8631146238281728 × 10¹⁶

Factors of 38631146238281728

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 2280

Divisors of 38631146238281728

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 8 16 23 29 32 46 58 64 92 116 128 184 232 256 349 368 464 512 529 667 698 736 928 1024 1058 1334 1396 1472 1856 1877 2048 2116 2668 2792 2944 3712 3754 4232 5336 5584 5888 7424 7508 8027 8464 10121 10672 11168 11776 14848 15016 15341 16054 16928 20242 21344 22336 23552 29696 30032 30682 32108 33856 40484 42688 43171 44672 47104 54433 59392 60064 61364 64216 67712 80968 85376 86342 89344 108866 120128 122728 128432 135424 161936 170752 172684 178688 184621 217732 232783 240256 245456 256864 270848 323872 341504 345368 357376 369242 435464 465566 480512 490912 513728 541696 647744 655073 683008 690736 714752 738484 870928 931132 961024 981824 992933 1027456 1083392 1251959 1295488 1310146 1366016 1381472 1476968 1741856 1862264 1922048 1963648 1985866 2054912 2503918 2590976 2620292 2762944 2953936 3483712 3523129 3724528 3844096 3927296 3971732 4109824 5007836 5181952 5240584 5354009 5525888 5907872 6967424 7046258 7449056 7854592 7943464 8219648 10015672 10363904 10481168 10708018 11051776 11815744 13934848 14092516 14898112 15066679 15709184 15886928 16439296 18997117 20031344 20727808 20962336 21416036 22103552 23631488 27869696 28185032 28795057 29796224 30133358 31418368 31773856 37994234 40062688 41924672 42832072 44207104 47262976 55739392 56370064 57590114 59592448 60266716 63547712 75988468 80125376 81031967 83849344 85664144 88414208 94525952 102170741 111478784 112740128 115180228 119184896 120533432 127095424 151976936 160250752 162063934 167698688 171328288 189051904 204341482 225480256 230360456 238369792 241066864 254190848 303953872 320501504 324127868 335397376 342656576 346533617 378103808 408682964 436933691 450960512 460720912 476739584 482133728 508381696 607907744 641003008 648255736 670794752 685313152 693067234 817365928 873867382 901921024 921441824 964267456 1016763392 1215815488 1229572021 1282006016 1296511472 1341589504 1370626304 1386134468 1634731856 1747734764 1803842048 1842883648 1863735241 1928534912 2033526784 2349927043 2431630976 2459144042 2564012032 2593022944 2741252608 2772268936 3269463712 3495469528 3607684096 3685767296 3727470482 3857069824 4699854086 4863261952 4918288084 5186045888 5482505216 5544537872 6538927424 6990939056 7215368192 7371534592 7454940964 7714139648 9399708172 9726523904 9836576168 10049474893 10372091776 10965010432 11089075744 13077854848 13981878112 14743069184 14909881928 15428279296 18799416344 19453047808 19673152336 20098949786 20744183552 22178151488 26155709696 27963756224 28280156483 29486138368 29819763856 30856558592 35657588609 37598832688 38906095616 39346304672 40197899572 41488367104 44356302976 52311419392 54048321989 55927512448 56560312966 58972276736 59639527712 71315177218 75197665376 78692609344 80395799144 82976734208 88712605952 104622838784 108096643978 111855024896 113120625932 119279055424 142630354436 150395330752 157385218688 160791598288 165953468416 177425211904 209245677568 216193287956 223710049792 226241251864 238558110848 285260708872 300790661504 314770437376 321583196576 354850423808 432386575912 447420099584 452482503728 477116221696 570521417744 601581323008 629540874752 643166393152 650443599109 709700847616 820124538007 864773151824 894840199168 904965007456 954232443392 1141042835488 1203162646016 1259081749504 1286332786304 1300887198218 1640249076014 1729546303648 1809930014912 1908464886784 2282085670976 2406325292032 2518163499008 2572665572608 2601774396436 3280498152028 3459092607296 3619860029824 3816929773568 4564171341952 4812650584064 5145331145216 5203548792872 6560996304056 6918185214592 7239720059648 9128342683904 10290662290432 10407097585744 13121992608112 13836370429184 14479440119296 18256685367808 18862864374161 20581324580864 20814195171488 26243985216224 27672740858368 28958880238592 36513370735616 37725728748322 41628390342976 52487970432448 55345481716736 57917760477184 73026741471232 75451457496644 83256780685952 104975940864896 110690963433472 150902914993288 166513561371904 209951881729792 301805829986576 333027122743808 419903763459584 603611659973152 666054245487616 839807526919168 1207223319946304 1332108490975232 1679615053838336 2414446639892608 4828893279785216 9657786559570432 19315573119140864 38631146238281728
• Sum of all divisors σ(n): 83816268130822500
• Sum of proper divisors (its aliquot sum) s(n): 45185121892540772
• 38631146238281728 is an abundant number, because the sum of its proper divisors (45185121892540772) is greater than itself. Its abundance is 6553975654259044

Bases of 38631146238281728

• Binary: 10001001001111101101001010100100110011001000100000000000₂
• Hexadecimal: 0x893ED2A4CC8800
• Base-36: AKDLJKZMUPS

Squares and roots of 38631146238281728

• 38631146238281728 squared (38631146238281728²) is 1492365459683508503778757898665984
• 38631146238281728 cubed (38631146238281728³) is 57651788313994151342619487465115794925443562340352
• The square root of 38631146238281728 is 196548076.1500395047
• The cube root of 38631146238281728 is 338048.6439515581

Scales and comparisons

• 38,631,146,238,281,728 seconds is equal to 1,228,350,956 years, 20 weeks, 4 days, 6 hours, 15 minutes, 28 seconds.
• To count from 1 to 38,631,146,238,281,728 would take you about three billion, six hundred eighty-five million, fifty-two thousand, eight hundred sixty-nine 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 38631146238281728 cubic inches would be around 28170.7 feet tall.

Recreational maths with 38631146238281728

• 38631146238281728 backwards is 82718283264113683
• The number of decimal digits it has is: 17
• The sum of 38631146238281728's digits is 73
• More coming soon!