142732426542294451816128000
142,732,426,542,294,451,816,128,000 is an even composite number composed of seven prime numbers multiplied together.
142732426542294451816128000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 142732426542294451816128000:
29 × 3 × 53 × 7 × 192 × 821993 × 357888760319
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 19 × 19 × 821993 × 357888760319)See below for interesting mathematical facts about the number 142732426542294451816128000 from the Numbermatics database.
Names of 142732426542294451816128000
- Cardinal: 142732426542294451816128000 can be written as One hundred forty-two septillion, seven hundred thirty-two sextillion, four hundred twenty-six quintillion, five hundred forty-two quadrillion, two hundred ninety-four trillion, four hundred fifty-one billion, eight hundred sixteen million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.42732426542294451816128 × 1026
Factors of 142732426542294451816128000
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 357889582348
Divisors of 142732426542294451816128000
- Number of divisors d(n): 1920
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 50 56 57 60 64 70 75 76 80 84 95 96 100 105 112 114 120 125 128 133 140 150 152 160 168 175 190 192 200 210 224 228 240 250 256 266 280 285 300 304 320 336 350 361 375 380 384 399 400 420 448 456 475 480 500 512 525 532 560 570 600 608 640 665 672 700 722 750 760 768 798 800 840 875 896 912 950 960 1000 1050 1064 1083 1120 1140 1200 1216 1280 1330 1344 1400 1425 1444 1500 1520 1536 1596 1600 1680 1750 1792 1805 1824 1900 1920 1995 2000 2100 2128 2166 2240 2280 2375 2400 2432 2527 2560 2625 2660 2688 2800 2850 2888 3000 3040 3192 3200 3325 3360 3500 3584 3610 3648 3800 3840 3990 4000 4200 4256 4332 4480 4560 4750 4800 4864 5054 5250 5320 5376 5415 5600 5700 5776 6000 6080 6384 6400 6650 6720 7000 7125 7220 7296 7581 7600 7680 7980 8000 8400 8512 8664 8960 9025 9120 9500 9600 9728 9975 10108 10500 10640 10752 10830 11200 11400 11552 12000 12160 12635 12768 12800 13300 13440 14000 14250 14440 14592 15162 15200 15960 16000 16625 16800 17024 17328 17920 18050 18240 19000 19200 19950 20216 21000 21280 21660 22400 22800 23104 24000 24320 25270 25536 26600 26880 27075 28000 28500 28880 29184 30324 30400 31920 32000 33250 33600 34048 34656 36100 36480 37905 38000 38400 39900 40432 42000 42560 43320 44800 45125 45600 46208 48000 48640 49875 50540 51072 53200 53760 54150 56000 57000 57760 60648 60800 63175 63840 64000 66500 67200 68096 69312 72200 72960 75810 76000 79800 80864 84000 85120 86640 89600 90250 91200 92416 96000 99750 101080 102144 106400 108300 112000 114000 115520 121296 121600 126350 127680 133000 134400 135375 138624 144400 145920 151620 152000 159600 161728 168000 170240 173280 180500 182400 184832 189525 192000 199500 202160 204288 212800 216600 224000 228000 231040 242592 243200 252700 255360 266000 268800 270750 277248 288800 303240 304000 315875 319200 323456 336000 340480 346560 361000 364800 379050 399000 404320 425600 433200 448000 456000 462080 485184 505400 510720 532000 541500 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263587121961762607232 268294034853936939504 279472952972850978650 282414773530459936320 294182055760895767000 308891158548940555350 313009707329593096088 318599166389050115661 329483902452203259040 335367543567421174380 353018466913074920400 357725379805249252672 376553031373946581760 391262134161991370110 395380682942643910848 411854878065254073800 419209429459276467975 424798888518733487548 441273083641343650500 447156724756561565840 451863637648735898112 469514560994389644132 470691289217433227200 494225853678304888560 514818597581567592250 527174243923525214464 530998610648416859435 536588069707873879008 558945905945701957300 564829547060919872640 586893201242987055165 588364111521791534000 617782317097881110700 626019414659186192176 637198332778100231322 658967804904406518080 670735087134842348760 698682382432127446625 706036933826149840800 715450759610498505344 743398054907783603209 753106062747893163520 772227896372351388375 782524268323982740220 790761365885287821696 823709756130508147600 838418858918552935950 849597777037466975096 882546167282687301000 894313449513123131680 939029121988779288264 941382578434866454400 978155335404978425275 988451707356609777120 1029637195163135184500 1054348487847050428928 1061997221296833718870 1073176139415747758016 1117891811891403914600 1129659094121839745280 1173786402485974110330 1176728223043583068000 1235564634195762221400 1252038829318372384352 1274396665556200462644 1317935609808813036160 1341470174269684697520 1397364764864254893250 1412073867652299681600 1430901519220997010688 1486796109815567206418 1544455792744702776750 1565048536647965480440 1581522731770575643392 1592995831945250578305 1647419512261016295200 1676837717837105871900 1699195554074933950192 1765092334565374602000 1788626899026246263360 1878058243977558576528 1882765156869732908800 1956310670809956850550 1976903414713219554240 2059274390326270369000 2096047147296382339875 2123994442593667437740 2146352278831495516032 2230194164723350809627 2235783623782807829200 2259318188243679490560 2347572804971948220660 2353456446087166136000 2471129268391524442800 2504077658636744768704 2548793331112400925288 2635871219617626072320 2654993053242084297175 2682940348539369395040 2794729529728509786500 2824147735304599363200 2861803038441994021376 2934466006214935275825 2973592219631134412836 3088911585489405553500 3130097073295930960880 3163045463541151286784 3185991663890501156610 3294839024522032590400 3353675435674211743800 3398391108149867900384 3530184669130749204000 3577253798052492526720 3716990274538918016045 3756116487955117153056 3765530313739465817600 3912621341619913701100 3953806829426439108480 4118548780652540738000 4192094294592764679750 4247988885187334875480 4292704557662991032064 4460388329446701619254 4471567247565615658400 4695145609943896441320 4706912892174332272000 4890776677024892126375 4942258536783048885600 5008155317273489537408 5097586662224801850576 5271742439235252144640 5309986106484168594350 5365880697078738790080 5589459059457019573000 5648295470609198726400 5868932012429870551650 5947184439262268825672 6177823170978811107000 6260194146591861921760 6371983327781002313220 6589678049044065180800 6707350871348423487600 6796782216299735800768 7060369338261498408000 7154507596104985053440 7433980549077836032090 7512232975910234306112 7825242683239827402200 7907613658852878216960 7964979159726252891525 8237097561305081476000 8384188589185529359500 8495977770374669750960 8585409115325982064128 8920776658893403238508 8943134495131231316800 9390291219887792882640 9413825784348664544000 9781553354049784252750 9884517073566097771200 10016310634546979074816 10195173324449603701152 10619972212968337188700 10731761394157477580160 11150970823616754048135 11178918118914039146000 11296590941218397452800 11737864024859741103300 11894368878524537651344 12355646341957622214000 12520388293183723843520 12743966655562004626440 13179356098088130361600 13274965266210421485875 13414701742696846975200 13593564432599471601536 14120738676522996816000 14309015192209970106880 14672330031074676379125 14867961098155672064180 15024465951820468612224 15650485366479654804400 15815227317705756433920 15929958319452505783050 16474195122610162952000 16768377178371058719000 16991955540749339501920 17841553317786806477016 17886268990262462633600 18584951372694590080225 18780582439775585765280 18827651568697329088000 19563106708099568505500 19769034147132195542400 20032621269093958149632 20390346648899207402304 21239944425936674377400 21463522788314955160320 22301941647233508096270 22357836237828078292000 23475728049719482206600 23788737757049075302688 24711292683915244428000 25040776586367447687040 25487933311124009252880 26358712196176260723200 26549930532420842971750 26829403485393693950400 27187128865198943203072 28241477353045993632000 29344660062149352758250 29735922196311344128360 30048931903640937224448 31300970732959309608800 31859916638905011566100 32948390245220325904000 33536754356742117438000 33983911081498679003840 35683106635573612954032 35772537980524925267200 37169902745389180160450 37561164879551171530560 39126213416199137011000 39538068294264391084800 39824895798631264457625 40780693297798414804608 42479888851873348754800 42927045576629910320640 44603883294467016192540 44715672475656156584000 46951456099438964413200 47577475514098150605376 49422585367830488856000 50081553172734895374080 50975866622248018505760 53099861064841685943500 53658806970787387900800 54374257730397886406144 55754854118083770240675 56482954706091987264000 58689320124298705516500 59471844392622688256720 60097863807281874448896 62601941465918619217600 63719833277810023132200 65896780490440651808000 67073508713484234876000 67967822162997358007680 71366213271147225908064 71545075961049850534400 74339805490778360320900 75122329759102343061120 78252426832398274022000 79076136588528782169600 79649791597262528915250 81561386595596829609216 84959777703746697509600 89207766588934032385080 89431344951312313168000 92924756863472950401125 93902912198877928826400 95154951028196301210752 98845170735660977712000 100163106345469790748160 101951733244496037011520 106199722129683371887000 107317613941574775801600 111509708236167540481350 117378640248597411033000 118943688785245376513440 125203882931837238435200 127439666555620046264400 131793560980881303616000 134147017426968469752000 135935644325994716015360 142732426542294451816128 148679610981556720641800 150244659518204686122240 156504853664796548044000 159299583194525057830500 163122773191193659218432 169919555407493395019200 178415533177868064770160 178862689902624626336000 185849513726945900802250 187805824397755857652800 190309902056392602421504 197690341471321955424000 203903466488992074023040 212399444259366743774000 214635227883149551603200 223019416472335080962700 234757280497194822066000 237887377570490753026880 250407765863674476870400 254879333111240092528800 268294034853936939504000 271871288651989432030720 278774270590418851203375 285464853084588903632256 297359221963113441283600 300489319036409372244480 313009707329593096088000 318599166389050115661000 339839110814986790038400 356831066355736129540320 357725379805249252672000 371699027453891801604500 375611648795511715305600 380619804112785204843008 395380682942643910848000 407806932977984148046080 424798888518733487548000 446038832944670161925400 469514560994389644132000 475774755140981506053760 500815531727348953740800 509758666222480185057600 536588069707873879008000 557548541180837702406750 570929706169177807264512 594718443926226882567200 626019414659186192176000 637198332778100231322000 679678221629973580076800 713662132711472259080640 743398054907783603209000 751223297591023430611200 815613865955968296092160 849597777037466975096000 892077665889340323850800 939029121988779288264000 951549510281963012107520 1019517332444960370115200 1073176139415747758016000 1115097082361675404813500 1141859412338355614529024 1189436887852453765134400 1252038829318372384352000 1274396665556200462644000 1359356443259947160153600 1427324265422944518161280 1486796109815567206418000 1502446595182046861222400 1699195554074933950192000 1784155331778680647701600 1878058243977558576528000 1903099020563926024215040 2039034664889920740230400 2230194164723350809627000 2378873775704907530268800 2504077658636744768704000 2548793331112400925288000 2854648530845889036322560 2973592219631134412836000 3398391108149867900384000 3568310663557361295403200 3756116487955117153056000 4078069329779841480460800 4460388329446701619254000 4757747551409815060537600 5097586662224801850576000 5709297061691778072645120 5947184439262268825672000 6796782216299735800768000 7136621327114722590806400 7512232975910234306112000 8920776658893403238508000 9515495102819630121075200 10195173324449603701152000 11894368878524537651344000 14273242654229445181612800 17841553317786806477016000 20390346648899207402304000 23788737757049075302688000 28546485308458890363225600 35683106635573612954032000 47577475514098150605376000 71366213271147225908064000 142732426542294451816128000
- Sum of all divisors σ(n): 572389809097523229172039680
- Sum of proper divisors (its aliquot sum) s(n): 429657382555228777355911680
- 142732426542294451816128000 is an abundant number, because the sum of its proper divisors (429657382555228777355911680) is greater than itself. Its abundance is 286924956012934325539783680
Bases of 142732426542294451816128000
- Binary: 1110110000100001100010001011000110110010011001001111010101100000001001001011110000000002
- Hexadecimal: 0x7610C458D9327AB0125E00
- Base-36: HXMR8U8KLAL4BJRPC
Squares and roots of 142732426542294451816128000
- 142732426542294451816128000 squared (1427324265422944518161280002) is 20372545586651481722195383203610773077520912384000000
- 142732426542294451816128000 cubed (1427324265422944518161280003) is 2907822866426277643715848184068197925198644997258000216511368366129152000000000
-
The
square root of 142732426542294451816128000 is 11947067696397.0724717307 -
The
cube root of 142732426542294451816128000 is 522605789.2431003873
Scales and comparisons
How big is 142732426542294451816128000?- 142,732,426,542,294,451,816,128,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 142,732,426,542,294,451,816,128,000 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 142732426542294451816128000 cubic inches would be around 43550482.4 feet tall.
Recreational maths with 142732426542294451816128000
- 142732426542294451816128000 backwards is 000821618154492245624237241
- The number of decimal digits it has is: 27
- The sum of 142732426542294451816128000's digits is 93
- More coming soon!
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"Number 142732426542294451816128000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 142732426542294451816128000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/142732426542294451816128000/
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Numbermatics. 2024. "Number 142732426542294451816128000 - Facts about the integer". https://numbermatics.com/n/142732426542294451816128000/
The information we have on file for 142732426542294451816128000 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!
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