13146743355906048

Names of 13146743355906048

• Cardinal: 13146743355906048 can be written as Thirteen quadrillion, one hundred forty-six trillion, seven hundred forty-three billion, three hundred fifty-five million, nine hundred six thousand and forty-eight.

Scientific notation

• Scientific notation: 1.3146743355906048 × 10¹⁶

Factors of 13146743355906048

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 741

Divisors of 13146743355906048

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 199 217 224 248 256 336 372 384 398 434 448 496 499 512 597 651 672 744 768 796 868 896 992 998 1024 1194 1302 1344 1393 1488 1497 1536 1592 1736 1792 1984 1996 2048 2388 2604 2688 2786 2976 2994 3072 3184 3472 3493 3584 3968 3992 4179 4776 5208 5376 5572 5952 5988 6144 6169 6368 6944 6986 7168 7936 7984 8358 9552 10416 10479 10752 11144 11904 11976 12338 12736 13888 13972 14336 15469 15872 15968 16716 18507 19104 20832 20958 21504 22288 23808 23952 24676 25472 27776 27944 30938 31744 31936 33432 37014 38208 39601 41664 41916 43008 43183 44576 46407 47616 47904 49352 50944 55552 55888 61876 63488 63872 66864 74028 76416 79202 83328 83832 86366 89152 92814 95232 95808 98704 99301 101888 108283 111104 111776 118803 123752 127744 129549 133728 148056 152832 158404 166656 167664 172732 178304 185628 190464 191616 197408 198602 203776 216566 222208 223552 237606 247504 249001 255488 259098 267456 277207 296112 297903 305664 316808 324849 333312 335328 345464 356608 371256 383232 394816 397204 407552 433132 444416 447104 475212 495008 498002 510976 518196 534912 554414 592224 595806 611328 633616 649698 666624 670656 690928 695107 713216 742512 747003 766464 789632 794408 831621 866264 894208 950424 990016 996004 1021952 1036392 1069824 1108828 1184448 1191612 1222656 1227631 1267232 1299396 1333248 1341312 1381856 1390214 1426432 1485024 1494006 1532928 1579264 1588816 1663242 1732528 1743007 1788416 1900848 1980032 1992008 2072784 2085321 2139648 2217656 2368896 2383224 2455262 2534464 2598792 2682624 2763712 2780428 2852864 2970048 2988012 3065856 3078331 3158528 3177632 3326484 3465056 3486014 3576832 3682893 3801696 3960064 3984016 4145568 4170642 4279296 4435312 4737792 4766448 4910524 5068928 5197584 5229021 5365248 5527424 5560856 5940096 5976024 6156662 6317056 6355264 6652968 6930112 6972028 7153664 7365786 7603392 7719031 7920128 7968032 8291136 8341284 8558592 8593417 8870624 9234993 9475584 9532896 9821048 10137856 10395168 10458042 10730496 11054848 11121712 11880192 11952048 12313324 12634112 12710528 13305936 13860224 13944056 14731572 15206784 15438062 15840256 15936064 16582272 16682568 17186834 17741248 18469986 18951168 19065792 19642096 19760899 20275712 20790336 20916084 21460992 21548317 22109696 22243424 23157093 23760384 23904096 24626648 25421056 25780251 26611872 27720448 27888112 29463144 30413568 30876124 31680512 31872128 33164544 33365136 34373668 35482496 36939972 37902336 38131584 39284192 39521798 40551424 41580672 41832168 43096634 44219392 44486848 46314186 47520768 47808192 49253296 49551199 50842112 51560502 53223744 54033217 55440896 55776224 58926288 59282697 60827136 61752248 63744256 64644951 66329088 66730272 68747336 70964992 73879944 76263168 78568384 79043596 81102848 83161344 83664336 86193268 88438784 88973696 92628372 95041536 95616384 98506592 99102398 101684224 103121004 106447488 108066434 110881792 111552448 117852576 118565394 121654272 123504496 127488512 129289902 132658176 133460544 137494672 138326293 141929984 147759888 148653597 152526336 157136768 158087192 162099651 166322688 167328672 172386536 177947392 185256744 191232768 197013184 198204796 203368448 206242008 212894976 216132868 221763584 223104896 235705152 237130788 243308544 247008992 254977024 258579804 265316352 266921088 274989344 276652586 283859968 295519776 297307194 305052672 314273536 316174384 324199302 332645376 334657344 344773072 346858393 355894784 370513488 382465536 394026368 396409592 412484016 414978879 425789952 432265736 446209792 471410304 474261576 494017984 509954048 517159608 533842176 549978688 553305172 567719936 591039552 594614388 610105344 612587869 628547072 632348768 648398604 665290752 669314688 689546144 693716786 711789568 741026976 764931072 788052736 792819184 824968032 829957758 851579904 864531472 892419584 942820608 948523152 988035968 1034319216 1040575179 1067684352 1099957376 1106610344 1182079104 1189228776 1225175738 1257094144 1264697536 1296797208 1338629376 1379092288 1387433572 1423579136 1482053952 1529862144 1536087169 1576105472 1585638368 1649936064 1659915516 1703159808 1729062944 1784839168 1837763607 1885641216 1897046304 1976071936 2068638432 2081150358 2135368704 2199914752 2213220688 2364158208 2378457552 2450351476 2514188288 2529395072 2593594416 2677258752 2758184576 2774867144 2964107904 3072174338 3152210944 3171276736 3299872128 3319831032 3458125888 3569678336 3675527214 3771282432 3794092608 3952143872 4137276864 4162300716 4270737408 4288115083 4399829504 4426441376 4608261507 4728316416 4756915104 4900702952 5058790144 5187188832 5354517504 5516369152 5549734288 5928215808 6144348676 6304421888 6342553472 6599744256 6639662064 6916251776 7351054428 7542564864 7588185216 7904287744 8274553728 8324601432 8576230166 8799659008 8852882752 9216523014 9456632832 9513830208 9801405904 9860688601 10117580288 10374377664 10709035008 10752610183 11032738304 11099468576 11856431616 12288697352 12685106944 12864345249 13199488512 13279324128 13832503552 14702108856 15176370432 15808575488 16549107456 16649202864 17152460332 17599318016 17705765504 18433046028 18913265664 19027660416 19602811808 19721377202 20235160576 20748755328 21505220366 22065476608 22198937152 23712863232 24577394704 25370213888 25728690498 26398977024 26558648256 27665007104 29404217712 29582065803 30352740864 32257830549 33098214912 33298405728 34304920664 35411531008 36866092056 38055320832 39205623616 39442754404 40470321152 41497510656 43010440732 44130953216 44397874304 47425726464 49154789408 50740427776 51457380996 52797954048 53117296512 55330014208 58808435424 59164131606 60705481728 64515661098 66196429824 66596811456 68609841328 69024820207 70823062016 73732184112 76110641664 78411247232 78885508808 82995021312 86020881464 88795748608 98309578816 101480855552 102914761992 106234593024 110660028416 117616870848 118328263212 121410963456 129031322196 132392859648 133193622912 137219682656 138049640414 141646124032 147464368224 152221283328 156822494464 157771017616 165990042624 172041762928 177591497216 196619157632 205829523984 207074460621 212469186048 235233741696 236656526424 258062644392 266387245824 274439365312 276099280828 283292248064 294928736448 304442566656 305681346631 313644988928 315542035232 331980085248 344083525856 355182994432 393238315264 411659047968 414148921242 424938372096 470467483392 473313052848 516125288784 532774491648 548878730624 552198561656 589857472896 611362693262 627289977856 631084070464 688167051712 710365988864 786476630528 823318095936 828297842484 849876744192 917044039893 940934966784 946626105696 1032250577568 1065548983296 1097757461248 1104397123312 1179714945792 1222725386524 1254579955712 1262168140928 1376334103424 1572953261056 1646636191872 1656595684968 1834088079786 1881869933568 1893252211392 2064501155136 2131097966592 2139769426417 2195514922496 2208794246624 2359429891584 2445450773048 2524336281856 2752668206848 3145906522112 3293272383744 3313191369936 3668176159572 3763739867136 3786504422784 4129002310272 4279538852834 4391029844992 4417588493248 4718859783168 4890901546096 5048672563712 5505336413696 6419308279251 6586544767488 6626382739872 7336352319144 7573008845568 8258004620544 8559077705668 8782059689984 8835176986496 9437719566336 9781803092192 10097345127424 11010672827392 12838616558502 13173089534976 13252765479744 14672704638288 15146017691136 16516009241088 17118155411336 17670353972992 19563606184384 20194690254848 22021345654784 25677233117004 26346179069952 26505530959488 29345409276576 30292035382272 33032018482176 34236310822672 35340707945984 39127212368768 51354466234008 53011061918976 58690818553152 60584070764544 66064036964352 68472621645344 70681415891968 78254424737536 102708932468016 106022123837952 117381637106304 136945243290688 141362831783936 156508849475072 205417864936032 212044247675904 234763274212608 273890486581376 313017698950144 410835729872064 424088495351808 469526548425216 547780973162752 626035397900288 821671459744128 939053096850432 1095561946325504 1643342919488256 1878106193700864 2191123892651008 3286685838976512 4382247785302016 6573371677953024 13146743355906048
• Sum of all divisors σ(n): 41640902848097280
• Sum of proper divisors (its aliquot sum) s(n): 28494159492191232
• 13146743355906048 is an abundant number, because the sum of its proper divisors (28494159492191232) is greater than itself. Its abundance is 15347416136285184

Bases of 13146743355906048

• Binary: 101110101101001110010010110111101011101001100000000000₂
• Hexadecimal: 0x2EB4E4B7AE9800
• Base-36: 3LG4QIR92IO

Squares and roots of 13146743355906048

• 13146743355906048 squared (13146743355906048²) is 172836860866059817072443002978304
• 13146743355906048 cubed (13146743355906048³) is 2272241852246529937243627368160116159132406382592
• The square root of 13146743355906048 is 114659248.8895075921
• The cube root of 13146743355906048 is 236014.8855634403

Scales and comparisons

• 13,146,743,355,906,048 seconds is equal to 418,025,773 years, 8 weeks, 6 days, 2 hours, 20 minutes, 48 seconds.
• To count from 1 to 13,146,743,355,906,048 would take you about one billion, two hundred fifty-four million, seventy-seven thousand, three hundred nineteen 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 13146743355906048 cubic inches would be around 19667.9 feet tall.

Recreational maths with 13146743355906048

• 13146743355906048 backwards is 84060955334764131
• The number of decimal digits it has is: 17
• The sum of 13146743355906048's digits is 69
• More coming soon!