40138041356905728150

Names of 40138041356905728150

• Cardinal: 40138041356905728150 can be written as Forty quintillion, one hundred thirty-eight quadrillion, forty-one trillion, three hundred fifty-six billion, nine hundred five million, seven hundred twenty-eight thousand, one hundred fifty.

Scientific notation

• Scientific notation: 4.013804135690572815 × 10¹⁹

Factors of 40138041356905728150

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 941388

Divisors of 40138041356905728150

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 107 150 214 225 321 450 535 642 963 1070 1605 1926 2675 3210 4815 5350 8025 9630 15727 16050 24075 31454 47181 48150 61333 78635 94362 122666 141543 157270 183999 235905 283086 306665 367998 393175 471810 551997 613330 707715 786350 864211 919995 1103994 1179525 1415430 1533325 1682789 1728422 1839990 2359050 2592633 2759985 3066650 3365578 3538575 4321055 4599975 5048367 5185266 5519970 6562631 7077150 7777899 8413945 8642110 9199950 10096734 12963165 13125262 13799925 15145101 15555798 16827890 19687893 21605275 25241835 25926330 27599850 30290202 32813155 38889495 39375786 42069725 43210550 50483670 59063679 64815825 65626310 75725505 77778990 84139450 92470577 98439465 118127358 126209175 129631650 151451010 164065775 184941154 194447475 196878930 252418350 277411731 295318395 328131550 378627525 388894950 462352885 492197325 554823462 590636790 757255050 832235193 924705770 964584091 984394650 1387058655 1476591975 1664470386 1929168182 2311764425 2774117310 2893752273 2953183950 4161175965 4623528850 4822920455 5787504546 6935293275 8322351930 8681256819 9645840910 13591446397 13870586550 14468761365 17362513638 20805879825 24114602275 27182892794 28937522730 40774339191 41611759650 43406284095 48229204550 53004653263 67957231985 72343806825 81548678382 86812568190 103210497737 106009306526 122323017573 135914463970 144687613650 159013959789 203871695955 206420995474 217031420475 244646035146 265023266315 309631493211 318027919578 339786159925 407743391910 434062840950 477041879367 516052488685 530046532630 611615087865 619262986422 679572319850 795069798945 928894479633 954083758734 1019358479775 1032104977370 1223230175730 1325116331575 1454284764479 1548157466055 1590139597890 1857788959266 2038716959550 2385209396835 2580262443425 2650232663150 2908569528958 3058075439325 3096314932110 3975348994725 4362854293437 4644472398165 4770418793670 5160524886850 5671497899141 6116150878650 7271423822395 7740787330275 7950697989450 8725708586874 9288944796330 11342995798282 11926046984175 13088562880311 14542847644790 15481574660550 17014493697423 21814271467185 23222361990825 23852093968350 26177125760622 28357489495705 34028987394846 36357119111975 43628542934370 46444723981650 51043481092269 56714978991410 65442814401555 72714238223950 85072468487115 102086962184538 109071357335925 130885628803110 141787447478525 170144936974230 218142714671850 255217405461345 283574894957050 327214072007775 425362342435575 510434810922690 654428144015550 833604181867201 850724684871150 1276087027306725 1667208363734402 2500812545601603 2552174054613450 4168020909336005 5001625091203206 7502437636804809 8336041818672010 12504062728008015 15004875273609618 20840104546680025 25008125456016030 37512188184024045 41680209093360050 62520313640040075 75024376368048090 89195647459790507 125040627280080150 178391294919581014 187560940920120225 267586942379371521 375121881840240450 445978237298952535 535173884758743042 802760827138114563 891956474597905070 1337934711896857605 1605521654276229126 2229891186494762675 2675869423793715210 4013804135690572815 4459782372989525350 6689673559484288025 8027608271381145630 13379347118968576050 20069020678452864075 40138041356905728150
• Sum of all divisors σ(n): 108854186891266672128
• Sum of proper divisors (its aliquot sum) s(n): 68716145534360943978
• 40138041356905728150 is an abundant number, because the sum of its proper divisors (68716145534360943978) is greater than itself. Its abundance is 28578104177455215828

Bases of 40138041356905728150

• Binary: 100010110100000110111101111111010000100010010011011100100010010110₂
• Hexadecimal: 0x22D06F7F4224DC896
• Base-36: 8GY786JTCJMHI

Squares and roots of 40138041356905728150

• 40138041356905728150 squared (40138041356905728150²) is 1611062363968674626620807086281702422500
• 40138041356905728150 cubed (40138041356905728150³) is 64664887793528970986265787686794036454155201623981443375000
• The square root of 40138041356905728150 is 6335459048.6329976869
• The cube root of 40138041356905728150 is 3423881.4997450417

Scales and comparisons

• 40,138,041,356,905,728,150 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 40,138,041,356,905,728,150 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 40138041356905728150 cubic inches would be around 285323.5 feet tall.

Recreational maths with 40138041356905728150

• 40138041356905728150 backwards is 05182750965314083104
• The number of decimal digits it has is: 20
• The sum of 40138041356905728150's digits is 72
• More coming soon!