138039624723110418

Names of 138039624723110418

• Cardinal: 138039624723110418 can be written as One hundred thirty-eight quadrillion, thirty-nine trillion, six hundred twenty-four billion, seven hundred twenty-three million, one hundred ten thousand, four hundred eighteen.

Scientific notation

• Scientific notation: 1.38039624723110418 × 10¹⁷

Factors of 138039624723110418

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 1197302

Divisors of 138039624723110418

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 297 378 397 462 567 594 693 794 891 1134 1191 1386 1782 2079 2382 2779 3573 4158 4367 5558 6237 7146 8337 8734 10719 12474 13101 16674 21438 23761 25011 26202 30569 32157 39303 47522 50022 61138 64314 71283 75033 78606 91707 117909 142566 150066 166327 183414 213849 225099 235818 261371 275121 332654 353727 427698 450198 498981 522742 550242 641547 707454 784113 825363 997962 1173121 1283094 1496943 1568226 1650726 1829597 1924641 2346242 2352339 2476089 2993886 3519363 3659194 3849282 4490829 4704678 4952178 5488791 7038726 7057017 8211847 8981658 9433117 10558089 10977582 12904331 13472487 14114034 16423694 16466373 18866234 21116178 21171051 24635541 25808662 26944974 28299351 31674267 32932746 38712993 42342102 49271082 49399119 56598702 63348534 66031819 73906623 77425986 84898053 90330317 95022801 98798238 103764287 116138979 132063638 147813246 148197357 169796106 180660634 190045602 198095457 207528574 221719869 232277958 254694159 270990951 296394714 311292861 348416937 396190914 443439738 465729037 509388318 541981902 594286371 622585722 665159607 696833874 726350009 764082477 812972853 931458074 933878583 1045250811 1188572742 1330319214 1397187111 1452700018 1528164954 1625945706 1782859113 1867757166 2090501622 2179050027 2438918559 2794374222 2801635749 3260103259 3565718226 4191561333 4358100054 4877837118 5123019407 5348577339 5603271498 6520206518 6537150081 7316755677 8383122666 8404907247 9780309777 10246038814 10697154678 12574683999 13074300162 14633511354 15369058221 16809814494 19560619554 19611450243 25149367998 27874528081 29340929331 30738116442 35861135849 37724051997 39222900486 46107174663 55749056162 58681858662 58834350729 71722271698 75448103994 83623584243 88022787993 92214349326 107583407547 117668701458 138321523989 167247168486 176045575986 195121696567 215166815094 250870752729 264068363979 276643047978 306619808891 322750222641 390243393134 414964571967 501741505458 528136727958 585365089701 613239617782 645500445282 752612258187 829929143934 919859426673 968250667923 1170730179402 1505224516374 1756095269103 1839718853346 1936501335846 2146338662237 2257836774561 2759578280019 2904752003769 3512190538206 4292677324474 4515673549122 5268285807309 5519156560038 5809504007538 6439015986711 8278734840057 10536571614618 11066187648157 12878031973422 15804857421927 16557469680114 19317047960133 22132375296314 24836204520171 31609714843854 33198562944471 38634095920266 49672409040342 57951143880399 66397125888942 77463313537099 99595688833413 115902287760798 121728064129727 154926627074198 173853431641197 199191377666826 232389940611297 243456128259454 298787066500239 347706863282394 365184192389181 464779881222594 597574133000478 697169821833891 730368384778362 852096448908089 896361199500717 1095552577167543 1394339643667782 1704192897816178 1792722399001434 2091509465501673 2191105154335086 2556289346724267 3286657731502629 4183018931003346 5112578693448534 6274528396505019 6573315463005258 7668868040172801 9859973194507887 12549056793010038 15337736080345602 19719946389015774 23006604120518403 46013208241036806 69019812361555209 138039624723110418
• Sum of all divisors σ(n): 386622478891097856
• Sum of proper divisors (its aliquot sum) s(n): 248582854167987438
• 138039624723110418 is an abundant number, because the sum of its proper divisors (248582854167987438) is greater than itself. Its abundance is 110543229444877020

Bases of 138039624723110418

• Binary: 111101010011010100100111010101100100011001001101000010010₂
• Hexadecimal: 0x1EA6A4EAC8C9A12
• Base-36: 11R6YO5ENB4I

Squares and roots of 138039624723110418

• 138039624723110418 squared (138039624723110418²) is 19054937993697156945294340620134724
• 138039624723110418 cubed (138039624723110418³) is 2630336489772094092183851872654717909163775487954632
• The square root of 138039624723110418 is 371536841.6767177317
• The cube root of 138039624723110418 is 516814.3810516465

Scales and comparisons

• 138,039,624,723,110,418 seconds is equal to 4,389,233,081 years, 31 weeks, 1 day, 16 hours, 18 seconds.
• To count from 1 to 138,039,624,723,110,418 would take you about thirteen billion, one hundred sixty-seven million, six hundred ninety-nine thousand, two hundred forty-four 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 138039624723110418 cubic inches would be around 43067.9 feet tall.

Recreational maths with 138039624723110418

• 138039624723110418 backwards is 814011327426930831
• 138039624723110418 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138039624723110418's digits is 63
• More coming soon!