138773724308776704

Names of 138773724308776704

• Cardinal: 138773724308776704 can be written as One hundred thirty-eight quadrillion, seven hundred seventy-three trillion, seven hundred twenty-four billion, three hundred eight million, seven hundred seventy-six thousand, seven hundred four.

Scientific notation

• Scientific notation: 1.38773724308776704 × 10¹⁷

Factors of 138773724308776704

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 36585

Divisors of 138773724308776704

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 49 56 59 64 84 94 96 98 112 118 128 141 147 168 177 188 192 196 224 236 256 282 294 329 336 354 376 384 392 413 448 472 564 588 658 672 708 752 768 784 826 896 944 987 1128 1176 1239 1316 1344 1416 1504 1568 1652 1792 1888 1974 2256 2303 2352 2478 2632 2688 2773 2832 2891 3008 3136 3304 3776 3948 4512 4606 4704 4956 5264 5376 5546 5664 5782 6016 6272 6608 6909 7552 7896 8319 8673 9024 9212 9408 9912 10528 11092 11328 11564 12032 12544 13216 13818 15104 15792 16638 17346 18048 18424 18816 19411 19824 21056 22184 22656 23128 26432 27636 31584 33276 34692 36096 36467 36848 37632 38822 39648 42112 44368 45312 46256 52864 55272 58233 63168 66552 69384 72934 73696 77644 79296 84224 88736 92512 105728 109401 110544 116466 126336 133104 135877 138768 145868 147392 155288 158592 177472 185024 218802 221088 232932 252672 255269 266208 271754 277536 291736 294784 310576 317184 354944 370048 407631 437604 442176 465864 510538 532416 543508 555072 583472 589568 621152 709888 740096 765807 815262 875208 884352 931728 1021076 1064832 1087016 1110144 1166944 1242304 1531614 1630524 1713949 1750416 1768704 1786883 1863456 2042152 2129664 2151553 2174032 2220288 2333888 2484608 3063228 3261048 3427898 3500832 3573766 3726912 4084304 4303106 4348064 4667776 4969216 5141847 5360649 6126456 6454659 6522096 6855796 7001664 7147532 7453824 8168608 8606212 8696128 9335552 10283694 10721298 11997643 12252912 12909318 13044192 13711592 14003328 14295064 14907648 15060871 16337216 17212424 17392256 20567388 21442596 23995286 24505824 25818636 26088384 27423184 28006656 28590128 30121742 32674432 34424848 34784512 35992929 41134776 42885192 45182613 47990572 49011648 51637272 52176768 54846368 57180256 60243484 65348864 68849696 71985858 82269552 83983501 85770384 90365226 95981144 98023296 101122991 103274544 104353536 105426097 109692736 114360512 120486968 137699392 143971716 164539104 167967002 171540768 180730452 191962288 196046592 202245982 206549088 210852194 219385472 228721024 240973936 251950503 275398784 287943432 303368973 316278291 329078208 335934004 343081536 361460904 383924576 404491964 413098176 421704388 438770944 457442048 481947872 503901006 550797568 575886864 606737946 632556582 658156416 671868008 686163072 707860937 722921808 767849152 808983928 826196352 843408776 963895744 1007802012 1151773728 1213475892 1265113164 1316312832 1329842089 1343736016 1372326144 1415721874 1445843616 1535698304 1617967856 1652392704 1686817552 1927791488 2015604024 2123582811 2303547456 2426951784 2530226328 2659684178 2687472032 2831443748 2891687232 3071396608 3235935712 3373635104 3855582976 3989526267 4031208048 4247165622 4607094912 4853903568 4955026559 5060452656 5319368356 5374944064 5662887496 5783374464 6471871424 6747270208 7979052534 8062416096 8494331244 9214189824 9308894623 9707807136 9910053118 10120905312 10638736712 10749888128 11325774992 11566748928 12943742848 13494540416 14865079677 15958105068 16124832192 16988662488 18617789246 19415614272 19820106236 20241810624 21277473424 21499776256 22651549984 25887485696 26989080832 27926683869 29730159354 31916210136 32249664384 33977324976 37235578492 38831228544 39640212472 40483621248 42554946848 45303099968 55853367738 59460318708 62502578183 63832420272 64499328768 65162262361 67954649952 74471156984 77662457088 78460683251 79280424944 80967242496 85109893696 90606199936 111706735476 118920637416 125005156366 127664840544 130324524722 135909299904 148942313968 156921366502 158560849888 170219787392 181212399872 187507734549 195486787083 223413470952 235382049753 237841274832 250010312732 255329681088 260649049444 271818599808 297884627936 313842733004 317121699776 340439574784 375015469098 390973574166 437518047281 446826941904 470764099506 475682549664 500020625464 510659362176 521298098888 543637199616 549224782757 595769255872 627685466008 634243399552 750030938196 781947148332 875036094562 893653883808 941528199012 951365099328 1000041250928 1021318724352 1042596197776 1098449565514 1191538511744 1255370932016 1268486799104 1312554141843 1500061876392 1563894296664 1647674348271 1750072189124 1787307767616 1883056398024 1902730198656 2000082501856 2085192395552 2196899131028 2383077023488 2510741864032 2625108283686 3000123752784 3062626330967 3127788593328 3295348696542 3500144378248 3574615535232 3687652112797 3766112796048 3805460397312 3844573479299 4000165003712 4170384791104 4393798262056 5021483728064 5250216567372 6000247505568 6125252661934 6255577186656 6590697393084 7000288756496 7149231070464 7375304225594 7532225592096 7689146958598 8000330007424 8340769582208 8787596524112 9187878992901 10042967456128 10500433134744 11062956338391 11533720437897 12000495011136 12250505323868 12511154373312 13181394786168 14000577512992 14750608451188 15064451184192 15378293917196 16000660014848 16681539164416 17575193048224 18375757985802 20085934912256 21000866269488 22125912676782 23067440875794 24000990022272 24501010647736 25022308746624 25813564789579 26362789572336 28001155025984 29501216902376 30128902368384 30756587834392 35150386096448 36751515971604 42001732538976 44251825353564 46134881751588 48001980044544 49002021295472 50044617493248 51627129579158 52725579144672 56002310051968 59002433804752 60257804736768 61513175668784 70300772192896 73503031943208 77440694368737 84003465077952 88503650707128 92269763503176 98004042590944 103254259158316 105451158289344 112004620103936 118004867609504 123026351337568 140601544385792 147006063886416 154881388737474 168006930155904 177007301414256 180694953527053 184539527006352 196008085181888 206508518316632 210902316578688 236009735219008 246052702675136 294012127772832 309762777474948 336013860311808 354014602828512 361389907054106 369079054012704 392016170363776 413017036633264 421804633157376 472019470438016 492105405350272 542084860581159 588024255545664 619525554949896 708029205657024 722779814108212 738158108025408 784032340727552 826034073266528 944038940876032 984210810700544 1084169721162318 1176048511091328 1239051109899792 1416058411314048 1445559628216424 1476316216050816 1652068146533056 2168339442324636 2352097022182656 2478102219799584 2832116822628096 2891119256432848 2952632432101632 3304136293066112 4336678884649272 4956204439599168 5782238512865696 6608272586132224 8673357769298544 9912408879198336 11564477025731392 17346715538597088 19824817758396672 23128954051462784 34693431077194176 46257908102925568 69386862154388352 138773724308776704
• Sum of all divisors σ(n): 446231493846593280
• Sum of proper divisors (its aliquot sum) s(n): 307457769537816576
• 138773724308776704 is an abundant number, because the sum of its proper divisors (307457769537816576) is greater than itself. Its abundance is 168684045229039872

Bases of 138773724308776704

• Binary: 111101101000001011111011110001101100101010010011100000000₂
• Hexadecimal: 0x1ED05F78D952700
• Base-36: 11YF6GUE2ADC

Squares and roots of 138773724308776704

• 138773724308776704 squared (138773724308776704²) is 19258146558528362292394444933103616
• 138773724308776704 cubed (138773724308776704³) is 2672524721211231814428084799443160644539219038961664
• The square root of 138773724308776704 is 372523454.7096017469
• The cube root of 138773724308776704 is 517728.9074942453

Scales and comparisons

• 138,773,724,308,776,704 seconds is equal to 4,412,575,177 years, 36 weeks, 4 days, 21 hours, 58 minutes, 24 seconds.
• To count from 1 to 138,773,724,308,776,704 would take you about thirteen billion, two hundred thirty-seven million, seven hundred twenty-five thousand, five hundred thirty-three 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 138773724308776704 cubic inches would be around 43144.1 feet tall.

Recreational maths with 138773724308776704

• 138773724308776704 backwards is 407677803427377831
• 138773724308776704 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138773724308776704's digits is 84
• More coming soon!