137464257989199906688
137,464,257,989,199,906,688 is an even composite number composed of five prime numbers multiplied together.
What does the number 137464257989199906688 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1024 divisors.
137464257989199906688 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 137464257989199906688:
27 × 7 × 113 × 413 × 11873
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 11 × 41 × 41 × 41 × 1187 × 1187 × 1187)See below for interesting mathematical facts about the number 137464257989199906688 from the Numbermatics database.
Names of 137464257989199906688
- Cardinal: 137464257989199906688 can be written as One hundred thirty-seven quintillion, four hundred sixty-four quadrillion, two hundred fifty-seven trillion, nine hundred eighty-nine billion, one hundred ninety-nine million, nine hundred six thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.37464257989199906688 × 1020
Factors of 137464257989199906688
Divisors of 137464257989199906688
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 41 44 56 64 77 82 88 112 121 128 154 164 176 224 242 287 308 328 352 448 451 484 574 616 656 704 847 896 902 968 1148 1187 1232 1312 1331 1408 1681 1694 1804 1936 2296 2374 2464 2624 2662 3157 3362 3388 3608 3872 4592 4748 4928 4961 5248 5324 6314 6724 6776 7216 7744 8309 9184 9317 9496 9856 9922 10648 11767 12628 13057 13448 13552 14432 15488 16618 18368 18491 18634 18992 19844 21296 23534 25256 26114 26896 27104 28864 33236 34727 36736 36982 37268 37984 39688 42592 47068 48667 50512 52228 53792 54208 54571 57728 66472 68921 69454 73964 74536 75968 79376 85184 91399 94136 97334 101024 104456 107584 108416 109142 129437 132944 137842 138908 143627 147928 149072 151936 158752 170368 182798 188272 194668 202048 203401 208912 215168 218284 258874 265888 275684 277816 287254 295856 298144 317504 340669 365596 376544 381997 389336 404096 406802 417824 436568 482447 517748 531776 535337 551368 555632 574508 591712 596288 635008 681338 731192 753088 758131 763994 778672 813604 835648 873136 964894 1005389 1035496 1063552 1070674 1102736 1111264 1149016 1183424 1192576 1362676 1408969 1423807 1462384 1506176 1516262 1527988 1557344 1579897 1627208 1671296 1746272 1929788 1995347 2010778 2070992 2141348 2205472 2222528 2237411 2298032 2366848 2725352 2817938 2847614 2924768 3032524 3055976 3114688 3159794 3254416 3492544 3747359 3859576 3990694 4021556 4141984 4282696 4410944 4445056 4474822 4596064 5306917 5450704 5635876 5695228 5849536 5888707 6065048 6111952 6229376 6319588 6508832 6985088 7494718 7719152 7981388 8043112 8283968 8339441 8565392 8821888 8949644 9192128 9862783 10613834 10901408 11059279 11271752 11390456 11699072 11777414 12130096 12223904 12639176 13017664 13967429 14989436 15438304 15498659 15661877 15962776 16086224 16567936 16678882 17130784 17899288 18384256 19725566 21227668 21802816 21948817 22118558 22543504 22780912 23554828 24260192 24447808 25278352 26035328 27934858 29978872 30876608 30997318 31323754 31925552 32172448 33357764 34261568 35798576 39451132 41220949 42455336 43605632 43897634 44237116 45087008 45561824 47109656 48520384 48895616 50556704 55869716 57767729 58376087 59957744 61753216 61994636 62647508 63851104 64344896 64775777 66715528 68523136 71597152 78902264 81809227 82441898 84910672 87795268 88474232 90174016 91123648 91733851 94219312 97040768 101113408 108490613 111739432 115535458 116752174 119915488 123989272 125295016 127702208 128689792 129551554 133431056 143194304 153641719 157804528 163618454 164883796 169821344 170485249 175590536 176948464 180348032 182247296 183467702 188438624 202226816 216981226 223478864 231070916 233504348 239830976 241436987 247978544 250590032 255404416 259103108 266862112 286388608 307283438 315609056 327236908 329767592 339642688 340970498 351181072 353896928 366935404 376877248 404374103 433962452 446957728 453430439 462141832 467008696 479661952 482873974 495957088 501180064 518206216 533724224 572664589 614566876 631218112 635445019 642136957 654473816 659535184 679285376 681940996 702362144 707793856 733870808 753754496 808748206 867924904 893915456 899901497 906860878 924283664 934017392 965747948 991914176 1002360128 1036412432 1067448448 1145329178 1193396743 1229133752 1262436224 1270890038 1284273914 1308947632 1319070368 1363881992 1404724288 1415587712 1467741616 1617496412 1672446203 1690058909 1735849808 1787830912 1799802994 1813721756 1848567328 1868034784 1875337739 1931495896 1983828352 2004720256 2072824864 2290658356 2368476889 2386793486 2458267504 2541780076 2568547828 2617895264 2638140736 2655806857 2727763984 2809448576 2935483232 3234992824 3344892406 3380117818 3471699616 3599605988 3627443512 3697134656 3736069568 3750675478 3862991792 4145649728 4448115133 4581316712 4736953778 4773586972 4916535008 5083560152 5137095656 5235790528 5276281472 5311613714 5455527968 5870966464 6299310479 6469985648 6689784812 6760235636 6943399232 6989895209 7199211976 7254887024 7394269312 7472139136 7501350956 7725983584 8291299456 8896230266 9162633424 9473907556 9547173944 9833070016 9898916467 10167120304 10274191312 10471581056 10623227428 10911055936 11707123421 11741932928 12598620958 12939971296 13127364173 13379569624 13520471272 13886798464 13979790418 14398423952 14509774048 15002701912 15451967168 16579338223 17792460532 18325266848 18396908233 18590647999 18947815112 19094347888 19666140032 19797832934 20334240608 20548382624 21246454856 21822111872 23414246842 25197241916 25879942592 26053245779 26254728346 26759139248 27040942544 27959580836 28796847904 29019548096 30005403824 30903934336 33158676446 35584921064 36650533696 36793816466 37181295998 37895630224 38188695776 39595665868 40668481216 41096765248 42492909712 46828493684 48929266463 50394483832 51759885184 52106491558 52509456692 53518278496 54081885088 55919161672 57593695808 58039096192 60010807648 66317352892 68570294323 69292415269 71169842128 73301067392 73587632932 74362591996 75791260448 76377391552 76888847299 79191331736 81336962432 82193530496 84985819424 93656987368 97107552449 97858532926 100788967664 104212983116 105018913384 107036556992 108163770176 108888081137 111838323344 115187391616 120021615296 128778357631 132634705784 137140588646 138584830538 142339684256 147175265864 148725183992 151582520896 152754783104 153777694598 158382663472 169971638848 182372720453 187313974736 194215104898 195717065852 201577935328 202365990563 208425966232 210037826768 214073113984 216327540352 217776162274 223676646688 240043230592 257556715262 265269411568 274281177292 277169661076 284679368512 286585703569 294350531728 297450367984 303165041792 307555389196 316765326944 339943277696 364745440906 374627949472 388430209796 391434131704 403155870656 404731981126 416851932464 420075653536 435552324548 447353293376 479992060261 515113430524 530538823136 538221931093 548562354584 554339322152 569358737024 573171407138 588701063456 594900735968 615110778392 633530653888 679752867143 729490881812 749255898944 754273237553 762216567959 776860419592 782868263408 806311741312 809463962252 833703864928 840151307072 871104649096 894706586752 959984120522 1030226861048 1061077646272 1068183076939 1076443862186 1097124709168 1108678644304 1146342814276 1177402126912 1189801471936 1230221556784 1267061307776 1359505734286 1416561933941 1458981763624 1498511797888 1508546475106 1524433135918 1553720839184 1565736526816 1618927924504 1667407729856 1680302614144 1742209298192 1919968241044 2006099924983 2060453722096 2122155292544 2136366153878 2152887724372 2194249418336 2217357288608 2226025896193 2292685628552 2354804253824 2379602943872 2460443113568 2719011468572 2811382067243 2833123867882 2917963527248 3017092950212 3048866271836 3107441678368 3131473053632 3152442739259 3237855849008 3334815459712 3484418596384 3839936482088 4012199849966 4120907444192 4272732307756 4305775448744 4388498836672 4434714577216 4452051792386 4585371257104 4920886227136 5279912662871 5438022937144 5622764134486 5666247735764 5835927054496 6034185900424 6097732543672 6214883356736 6262946107264 6304885478518 6475711698016 6968837192768 7477281538573 7679872964176 8024399699932 8241814888384 8297005613083 8545464615512 8611550897488 8776997673344 8869429154432 8904103584772 9170742514208 9841772454272 10559825325742 10876045874288 11245528268972 11332495471528 11671854108992 11750013846329 12068371800848 12195465087344 12429766713472 12609770957036 12951423396032 13937674385536 14954563077146 15359745928352 15582181273351 16048799399864 16483629776768 16594011226166 17090929231024 17223101794976 17808207169544 18341485028416 19679674470701 21119650651484 21752091748576 22067099174813 22491056537944 22664990943056 23343708217984 23500027692658 24136743601696 24390930174688 25219541914072 25902846792064 29909126154292 30719491856704 30925202739673 31164362546702 32097598799728 33188022452332 34181858462048 34446203589952 35616414339088 36682970056832 39359348941402 42239301302968 43504183497152 44134198349626 44982113075888 45329981886112 47000055385316 48273487203392 48781860349376 50439083828144 58079039291581 59818252308584 61438983713408 61850405479346 62328725093404 64195197599456 66376044904664 68363716924096 68892407179904 71232828678176 78718697882804 82250096924303 84478602605936 87008366994304 88268396699252 89964226151776 90659963772224 91267061743913 94000110770632 96546974406784 97563720698752 100878167656288 115266664756963 116158078583162 119636504617168 123700810958692 124657450186808 128390395198912 129250152309619 132752089809328 136727433848192 142465657356352 157437395765608 164500193848606 168957205211872 176536793398504 179928452303552 181319927544448 182534123487826 188000221541264 201756335312576 216476419177711 230533329513926 232316157166324 239273009234336 247401621917384 249314900373616 256780790397824 258500304619238 265504179618656 284931314712704 314874791531216 329000387697212 337914410423744 340177230136403 353073586797008 359856904607104 365068246975652 376000443082528 403512670625152 432952838355422 461066659027852 464632314332648 478546018468672 494803243834768 498629800747232 517000609238476 531008359237312 629749583062432 638869432207391 658000775394424 675828820847488 680354460272806 706147173594016 730136493951304 752000886165056 806866653298741 865905676710844 904751066167333 922133318055704 929264628665296 957092036937344 989606487669536 997259601494464 1034001218476952 1062016718474624 1259499166124864 1267933312326593 1277738864414782 1316001550788848 1360708920545612 1412294347188032 1460272987902608 1504001772330112 1613733306597482 1731811353421688 1809502132334666 1844266636111408 1858529257330592 1979212975339072 1994519202988928 2068002436953904 2381240610954821 2518998332249728 2535866624653186 2555477728829564 2632003101577696 2721417841091224 2824588694376064 2920545975805216 3227466613194964 3463622706843376 3619004264669332 3688533272222816 3717058514661184 3741949531500433 3958425950678144 4136004873907808 4762481221909642 5071733249306372 5110955457659128 5264006203155392 5442835682182448 5841091951610432 6454933226389928 6927245413686752 7238008529338664 7377066544445632 7434117029322368 7483899063000866 8272009747815616 8875533186286151 9524962443819284 10143466498612744 10221910915318256 10528012406310784 10885671364364896 11682183903220864 12909866452779856 13854490827373504 13947266435592523 14476017058677328 14754133088891264 14967798126001732 16544019495631232 17751066372572302 19049924887638568 20286932997225488 20443821830636512 21771342728729792 25819732905559712 26193646720503031 27708981654747008 27894532871185046 28952034117354656 29935596252003464 35502132745144604 38099849775277136 40573865994450976 40887643661273024 43542685457459584 51639465811119424 52387293441006062 55789065742370092 57904068234709312 59871192504006928 71004265490289208 76199699550554272 81147731988901952 81775287322546048 97630865049147661 103278931622238848 104774586882012124 111578131484740184 115808136469418624 119742385008013856 142008530980578416 152399399101108544 153419930791517753 162295463977803904 195261730098295322 209549173764024248 223156262969480368 239484770016027712 284017061961156832 304798798202217088 306839861583035506 390523460196590644 419098347528048496 446312525938960736 478969540032055424 568034123922313664 613679723166071012 781046920393181288 838196695056096992 892625051877921472 1073939515540624271 1136068247844627328 1227359446332142024 1562093840786362576 1676393390112193984 1785250103755842944 2147879031081248542 2454718892664284048 3124187681572725152 3352786780224387968 4295758062162497084 4909437785328568096 6248375363145450304 8591516124324994168 9818875570657136192 12496750726290900608 17183032248649988336 19637751141314272384 34366064497299976672 68732128994599953344 137464257989199906688
- Sum of all divisors σ(n): 353154474194647910400
- Sum of proper divisors (its aliquot sum) s(n): 215690216205448003712
- 137464257989199906688 is an abundant number, because the sum of its proper divisors (215690216205448003712) is greater than itself. Its abundance is 78225958216248097024
Bases of 137464257989199906688
- Binary: 11101110011101100110010011001010011000001101110100111000111100000002
- Hexadecimal: 0x773B3265306E9C780
- Base-36: T0E04LDLXZTZ4
Squares and roots of 137464257989199906688
- 137464257989199906688 squared (1374642579891999066882) is 18896422224521310373186957023547907129344
- 137464257989199906688 cubed (1374642579891999066883) is 2597582659744448212350067375956968902312531808452774746652672
-
The
square root of 137464257989199906688 is 11724515256.0436334095 -
The
cube root of 137464257989199906688 is 5160953.3171071003
Scales and comparisons
How big is 137464257989199906688?- 137,464,257,989,199,906,688 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,464,257,989,199,906,688 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 137464257989199906688 cubic inches would be around 430079.4 feet tall.
Recreational maths with 137464257989199906688
- 137464257989199906688 backwards is 886609991989752464731
- 137464257989199906688 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 137464257989199906688's digits is 121
- More coming soon!
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"Number 137464257989199906688 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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Numbermatics. (2024). Number 137464257989199906688 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/137464257989199906688/
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The information we have on file for 137464257989199906688 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 137464257989199906688, math, Factors of 137464257989199906688, curriculum, school, college, exams, university, Prime factorization of 137464257989199906688, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quintillion, four hundred sixty-four quadrillion, two hundred fifty-seven trillion, nine hundred eighty-nine billion, one hundred ninety-nine million, nine hundred six thousand, six hundred eighty-eight.