137649646915822080

Names of 137649646915822080

• Cardinal: 137649646915822080 can be written as One hundred thirty-seven quadrillion, six hundred forty-nine trillion, six hundred forty-six billion, nine hundred fifteen million, eight hundred twenty-two thousand and eighty.

Scientific notation

• Scientific notation: 1.3764964691582208 × 10¹⁷

Factors of 137649646915822080

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 35410

Divisors of 137649646915822080

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 64 65 72 78 80 90 96 104 117 120 128 130 144 156 160 180 192 195 208 234 240 256 260 288 312 320 360 384 390 416 468 480 512 520 576 585 624 640 720 768 780 832 936 960 1040 1152 1170 1248 1280 1440 1536 1560 1613 1664 1872 1920 2080 2304 2340 2496 2560 2880 3120 3226 3328 3744 3840 4160 4608 4680 4839 4992 5760 6240 6452 6656 7488 7680 8065 8320 9360 9678 9984 11520 12480 12904 14517 14976 16130 16381 16640 17393 18720 19356 19968 20969 23040 24195 24960 25808 29034 29952 32260 32762 33280 34786 37440 38712 41938 48390 49143 49920 51616 52179 58068 59904 62907 64520 65524 69572 72585 74880 77424 81905 83876 86965 96780 98286 99840 103232 104358 104845 116136 125814 129040 131048 139144 145170 147429 149760 154848 156537 163810 167752 173930 188721 193560 196572 206464 208716 209690 212953 226109 232272 245715 251628 258080 260895 262096 278288 290340 294858 299520 309696 313074 314535 327620 335504 347860 377442 387120 393144 412928 417432 419380 425906 452218 464544 491430 503256 516160 521790 524192 556576 580680 589716 619392 626148 629070 638859 655240 671008 678327 695720 737145 754884 774240 782685 786288 825856 834864 838760 851812 904436 929088 943605 982860 1006512 1032320 1043580 1048384 1064765 1113152 1130545 1161360 1179432 1238784 1252296 1258140 1277718 1310480 1342016 1356654 1391440 1474290 1509768 1548480 1565370 1572576 1669728 1677520 1703624 1808872 1858176 1887210 1916577 1965720 2013024 2034981 2064640 2087160 2096768 2129530 2226304 2261090 2322720 2358864 2477568 2504592 2516280 2555436 2620960 2684032 2713308 2782880 2948580 3019536 3096960 3130740 3145152 3194295 3339456 3355040 3391635 3407248 3617744 3716352 3774420 3833154 3931440 4026048 4069962 4129280 4174320 4193536 4259060 4452608 4522180 4645440 4717728 5009184 5032560 5110872 5241920 5368064 5426616 5565760 5897160 6039072 6193920 6261480 6290304 6388590 6678912 6710080 6783270 6814496 7235488 7432704 7548840 7666308 7862880 8052096 8139924 8348640 8387072 8518120 8905216 9044360 9290880 9435456 9582885 10018368 10065120 10174905 10221744 10483840 10736128 10853232 11131520 11794320 12078144 12387840 12522960 12580608 12777180 13357824 13420160 13566540 13628992 14470976 15097680 15332616 15725760 16104192 16279848 16697280 17036240 18088720 18581760 18870912 19165770 20036736 20130240 20349810 20443488 20967680 21706464 22263040 23588640 24156288 25045920 25161216 25554360 26422553 26715648 26840320 27133080 27257984 28054909 28941952 30195360 30665232 31451520 32208384 32559696 33394560 34072480 36177440 37163520 37741824 38331540 40073472 40260480 40699620 40886976 41935360 43412928 44526080 47177280 48312576 50091840 51108720 52845106 53680640 54266160 54515968 56109818 57883904 60390720 61330464 62903040 65119392 66789120 68144960 72354880 75483648 76663080 79267659 80146944 80520960 81399240 81773952 84164727 86825856 94354560 96625152 100183680 102217440 105690212 108532320 109031936 112219636 115767808 120781440 122660928 125806080 130238784 132112765 133578240 136289920 140274545 144709760 153326160 158535318 161041920 162798480 163547904 168329454 173651712 188709120 200367360 204434880 211380424 217064640 224439272 237802977 241562880 245321856 252494181 260477568 264225530 272579840 280549090 284914733 289419520 306652320 317070636 325596960 327095808 336658908 343493189 347303424 364713817 377418240 396338295 400734720 408869760 420823635 422760848 434129280 448878544 475605954 483125760 490643712 504988362 520955136 528451060 545159680 561098180 569829466 578839040 613304640 634141272 651193920 673317816 686986378 729427634 792676590 817739520 841647270 845521696 854744199 868258560 897757088 951211908 981287424 1009976724 1030479567 1041910272 1056902120 1094141451 1122196360 1139658932 1189014885 1226609280 1262470905 1268282544 1302387840 1346635632 1373972756 1424573665 1458855268 1585353180 1635479040 1683294540 1691043392 1709488398 1717465945 1736517120 1795514176 1823569085 1902423816 2019953448 2060959134 2113804240 2188282902 2244392720 2279317864 2378029770 2453218560 2524941810 2536565088 2564232597 2604775680 2693271264 2747945512 2849147330 2917710536 3091438701 3170706360 3282424353 3366589080 3382086784 3418976796 3434931890 3591028352 3647138170 3703891529 3804847632 4039906896 4121918268 4227608480 4273720995 4376565804 4488785440 4558635728 4756059540 4906437120 5049883620 5073130176 5128465194 5152397835 5209551360 5386542528 5470707255 5495891024 5698294660 5835421072 6182877402 6341412720 6564848706 6733178160 6764173568 6837953592 6869863780 7182056704 7294276340 7407783058 7609695264 8079813792 8243836536 8455216960 8547441990 8753131608 8977570880 9117271456 9512119080 10099767240 10146260352 10256930388 10304795670 10773085056 10941414510 10991782048 11111674587 11396589320 11670842144 12365754804 12682825440 12821162985 13129697412 13466356320 13528347136 13675907184 13739727560 14364113408 14588552680 14815566116 15219390528 15457193505 16159627584 16412121765 16487673072 16910433920 17094883980 17506263216 17955141760 18234542912 18519457645 19024238160 20199534480 20292520704 20513860776 20609591340 21546170112 21882829020 21983564096 22223349174 22793178640 23341684288 24731509608 25365650880 25642325970 26259394824 26932712640 27351814368 27479455120 29177105360 29631132232 30438781056 30914387010 32319255168 32824243530 32975346144 33335023761 33820867840 34189767960 35012526432 35910283520 36469085824 37038915290 38048476320 40399068960 40585041408 41027721552 41219182680 43092340224 43765658040 43967128192 44446698348 45586357280 46683368576 49463019216 50731301760 51284651940 52518789648 53865425280 54703628736 54958910240 55558372935 58354210720 59262264464 60877562112 61828774020 64638510336 65648487060 65950692288 66670047522 67641735680 68379535920 70025052864 71820567040 72938171648 74077830580 76096952640 80798137920 82055443104 82438365360 87531316080 87934256384 88893396696 91172714560 93366737152 98926038432 101462603520 102569303880 105037579296 107730850560 109407257472 109917820480 111116745870 116708421440 118524528928 121755124224 123657548040 129277020672 131296974120 131901384576 133340095044 136759071840 140050105728 145876343296 148155661160 152193905280 161596275840 164110886208 164876730720 166675118805 175062632160 175868512768 177786793392 182345429120 186733474304 197852076864 202925207040 205138607760 210075158592 215461701120 218814514944 219835640960 222233491740 233416842880 237049057856 247315096080 262593948240 263802769152 266680190088 273518143680 280100211456 296311322320 304387810560 323192551680 328221772416 329753461440 333350237610 350125264320 355573586784 364690858240 395704153728 410277215520 420150317184 437629029888 439671281920 444466983480 459567464329 466833685760 474098115712 494630192160 525187896480 527605538304 533360380176 547036287360 560200422912 592622644640 608775621120 646385103360 656443544832 659506922880 666700475220 700250528640 711147173568 729381716480 791408307456 820554431040 840300634368 879342563840 888933966960 919134928658 933667371520 948196231424 989260384320 1050375792960 1066720760352 1094072574720 1185245289280 1312887089664 1319013845760 1333400950440 1378702392987 1400501057280 1422294347136 1582816614912 1641108862080 1680601268736 1777867933920 1838269857316 1896392462848 1978520768640 2100751585920 2133441520704 2188145149440 2297837321645 2370490578560 2638027691520 2666801900880 2757404785974 2801002114560 2844588694272 3282217724160 3555735867840 3676539714632 3957041537280 4136107178961 4201503171840 4266883041408 4595674643290 4740981157120 5333603801760 5514809571948 5689177388544 5974377036277 6564435448320 6893511964935 7111471735680 7353079429264 7914083074560 8272214357922 8403006343680 8533766082816 9191349286580 9481962314240 10667207603520 11029619143896 11948754072554 13787023929870 14222943471360 14706158858528 16544428715844 17067532165632 17923131108831 18382698573160 20680535894805 21334415207040 22059238287792 23897508145108 27574047859740 28445886942720 29412317717056 29871885181385 33088857431688 35846262217662 36765397146320 41361071789610 42668830414080 44118476575584 47795016290216 53769393326493 55148095719480 58824635434112 59743770362770 66177714863376 71692524435324 73530794292640 82722143579220 85337660828160 88236953151168 89615655544155 95590032580432 107538786652986 110296191438960 117649270868224 119487540725540 132355429726752 143385048870648 147061588585280 165444287158440 176473906302336 179231311088310 191180065160864 215077573305972 220592382877920 235298541736448 238975081451080 264710859453504 268846966632465 286770097741296 294123177170560 330888574316880 352947812604672 358462622176620 382360130321728 430155146611944 441184765755840 477950162902160 529421718907008 537693933264930 573540195482592 588246354341120 661777148633760 705895625209344 716925244353240 764720260643456 860310293223888 882369531511680 955900325804320 1058843437814016 1075387866529860 1147080390965184 1176492708682240 1323554297267520 1433850488706480 1529440521286912 1720620586447776 1764739063023360 1911800651608640 2117686875628032 2150775733059720 2294160781930368 2647108594535040 2867700977412960 3058881042573824 3441241172895552 3529478126046720 3823601303217280 4301551466119440 4588321563860736 5294217189070080 5735401954825920 6882482345791104 7647202606434560 8603102932238880 9176643127721472 10588434378140160 11470803909651840 13764964691582208 15294405212869120 17206205864477760 22941607819303680 27529929383164416 34412411728955520 45883215638607360 68824823457911040 137649646915822080
• Sum of all divisors σ(n): 513769347465165792
• Sum of proper divisors (its aliquot sum) s(n): 376119700549343712
• 137649646915822080 is an abundant number, because the sum of its proper divisors (376119700549343712) is greater than itself. Its abundance is 238470053633521632

Bases of 137649646915822080

• Binary: 111101001000001111001111111100011111000000010001000000000₂
• Hexadecimal: 0x1E9079FE3E02200
• Base-36: 11NCQ6TH4740

Squares and roots of 137649646915822080

• 137649646915822080 squared (137649646915822080²) is 18947425296050487060697442215526400
• 137649646915822080 cubed (137649646915822080³) is 2608106401965265187306156279013682444157595942912000
• The square root of 137649646915822080 is 371011653.3423472939
• The cube root of 137649646915822080 is 516327.2353378563

Scales and comparisons

• 137,649,646,915,822,080 seconds is equal to 4,376,832,993 years, 31 weeks, 4 days, 20 hours, 48 minutes.
• To count from 1 to 137,649,646,915,822,080 would take you about thirteen billion, one hundred thirty million, four hundred ninety-eight thousand, nine hundred eighty 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 137649646915822080 cubic inches would be around 43027.3 feet tall.

Recreational maths with 137649646915822080

• 137649646915822080 backwards is 080228519646946731
• The number of decimal digits it has is: 18
• The sum of 137649646915822080's digits is 81
• More coming soon!