137992296892956672
137,992,296,892,956,672 is an even composite number composed of six prime numbers multiplied together.
What does the number 137992296892956672 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
137992296892956672 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 137992296892956672:
215 × 3 × 232 × 292 × 412 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 23 × 23 × 29 × 29 × 41 × 41 × 1877)See below for interesting mathematical facts about the number 137992296892956672 from the Numbermatics database.
Names of 137992296892956672
- Cardinal: 137992296892956672 can be written as One hundred thirty-seven quadrillion, nine hundred ninety-two trillion, two hundred ninety-six billion, eight hundred ninety-two million, nine hundred fifty-six thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.37992296892956672 × 1017
Factors of 137992296892956672
Divisors of 137992296892956672
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 12 16 23 24 29 32 41 46 48 58 64 69 82 87 92 96 116 123 128 138 164 174 184 192 232 246 256 276 328 348 368 384 464 492 512 529 552 656 667 696 736 768 841 928 943 984 1024 1058 1104 1189 1312 1334 1392 1472 1536 1587 1681 1682 1856 1877 1886 1968 2001 2048 2116 2208 2378 2523 2624 2668 2784 2829 2944 3072 3174 3362 3364 3567 3712 3754 3772 3936 4002 4096 4232 4416 4756 5043 5046 5248 5336 5568 5631 5658 5888 6144 6348 6724 6728 7134 7424 7508 7544 7872 8004 8192 8464 8832 9512 10086 10092 10496 10672 11136 11262 11316 11776 12288 12696 13448 13456 14268 14848 15016 15088 15341 15744 16008 16384 16928 17664 19024 19343 20172 20184 20992 21344 21689 22272 22524 22632 23552 24576 25392 26896 26912 27347 28536 29696 30032 30176 30682 31488 32016 32768 33856 34481 35328 38048 38663 38686 40344 40368 41984 42688 43171 43378 44544 45048 45264 46023 47104 48749 49152 50784 53792 53824 54433 54694 57072 58029 59392 60064 60352 61364 62976 64032 65067 67712 68962 70656 76096 76957 77326 77372 80688 80736 82041 83968 85376 86342 86756 89088 90096 90528 92046 94208 97498 98304 101568 103443 107584 107648 108866 109388 114144 115989 116058 118784 120128 120704 122728 125952 128064 129513 130134 135424 137924 141312 146247 152192 153914 154652 154744 161376 161472 163299 164082 167936 170752 172684 173512 178176 180192 181056 184092 188416 194996 203136 206886 215168 215296 217732 218776 228288 230871 231978 232116 237568 240256 241408 245456 251904 256128 259026 260268 270848 275848 282624 292494 304384 307828 309304 309488 322752 322944 326598 328164 335872 341504 345368 347024 356352 360384 362112 368184 376832 389992 406272 413772 430336 430592 435464 437552 444889 456576 461742 463956 464232 475136 480512 482816 490912 503808 512256 518052 520536 541696 551696 565248 584988 608768 615656 618608 618976 628981 645504 645888 653196 656328 671744 683008 690736 694048 712704 720768 724224 736368 753664 779984 793063 812544 827544 860672 861184 870928 875104 889249 889778 913152 923484 927912 928464 950272 961024 965632 981824 992933 1007616 1024512 1036104 1041072 1083392 1103392 1121227 1130496 1169976 1217536 1231312 1237216 1237952 1251959 1257962 1291008 1291776 1306392 1312656 1334667 1343488 1366016 1381472 1388096 1413721 1425408 1441536 1448448 1472736 1559968 1578557 1586126 1625088 1655088 1721344 1722368 1741856 1750208 1770011 1778498 1779556 1826304 1846968 1855824 1856928 1886943 1922048 1931264 1963648 1985866 2015232 2049024 2072208 2082144 2166784 2206784 2231753 2242454 2260992 2339952 2379189 2435072 2462624 2474432 2475904 2503918 2515924 2582016 2583552 2612784 2625312 2667747 2669334 2732032 2762944 2776192 2827442 2850816 2883072 2896896 2945472 2978799 3119936 3155237 3157114 3172252 3250176 3310176 3363681 3442688 3444736 3483712 3500416 3540022 3556996 3559112 3652608 3693936 3711648 3713856 3755877 3773886 3844096 3862528 3927296 3971732 4030464 4098048 4144416 4164288 4241163 4333568 4413568 4463506 4484908 4679904 4735671 4758378 4870144 4925248 4948864 4951808 5007836 5031848 5164032 5167104 5225568 5250624 5310033 5335494 5338668 5464064 5525888 5552384 5654884 5766144 5793792 5890944 5957598 6239872 6310474 6314228 6344504 6500352 6620352 6695259 6727362 6885376 6889472 6967424 7000832 7080044 7113992 7118224 7305216 7387872 7423296 7427712 7511754 7547772 7688192 7725056 7854592 7943464 8196096 8288832 8328576 8482326 8667136 8827136 8927012 8969816 9359808 9465711 9471342 9516756 9740288 9850496 9897728 9903616 10015672 10063696 10328064 10334208 10451136 10501248 10620066 10670988 10677336 10928128 11051776 11104768 11309768 11532288 11587584 11781888 11915196 12479744 12620948 12628456 12689008 13000704 13240704 13390518 13454724 13770752 13778944 13934848 14001664 14160088 14227984 14236448 14610432 14775744 14846592 14855424 15023508 15095544 15376384 15450112 15709184 15886928 16392192 16577664 16657152 16964652 17334272 17654272 17854024 17939632 18240449 18719616 18931422 18942684 19033512 19480576 19700992 19795456 19807232 20031344 20127392 20656128 20668416 20902272 21002496 21240132 21341976 21354672 21856256 22103552 22209536 22619536 23064576 23175168 23563776 23830392 24959488 25241896 25256912 25378016 25788221 26001408 26481408 26781036 26909448 27541504 27557888 27869696 28003328 28320176 28455968 28472896 28795057 29220864 29551488 29693184 29710848 30047016 30191088 30752768 30900224 31418368 31773856 32515583 32784384 33155328 33314304 33929304 35308544 35708048 35879264 36306811 36480898 37439232 37862844 37885368 38067024 38961152 39401984 39590912 39614464 40062688 40254784 40710253 41312256 41336832 41804544 42004992 42480264 42683952 42709344 44207104 44419072 45239072 46129152 46350336 47127552 47660784 49918976 50483792 50513824 50756032 51330319 51576442 52002816 52962816 53562072 53818896 54721347 55083008 55739392 56006656 56640352 56911936 56945792 57590114 58441728 59102976 59386368 59421696 60094032 60382176 61505536 62836736 63547712 64720837 65031166 65568768 66310656 66628608 67858608 70617088 71416096 71758528 72570451 72613622 72961796 74878464 75725688 75770736 76134048 77364663 78803968 79181824 79228928 80125376 80509568 81420506 82624512 82673664 83609088 84009984 84960528 85367904 85418688 86385171 88414208 88838144 90478144 91501873 92258304 92700672 94255104 95321568 97546749 99837952 100967584 101027648 101512064 102660638 103152884 105925632 107124144 107637792 108920433 109442694 111478784 112013312 113280704 113823872 113891584 115180228 116883456 118205952 118772736 118843392 120188064 120764352 122130759 125673472 127095424 129441674 130062332 132621312 133257216 135717216 141234176 142832192 143517056 145140902 145227244 145923592 149756928 151451376 151541472 152268096 153990957 154729326 157607936 158363648 158457856 160250752 161019136 162841012 165249024 167218176 168019968 169921056 170735808 170837376 172770342 176828416 177676288 180956288 183003746 184516608 188510208 190643136 194162511 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93697917952 95269072064 95725876352 96808981634 97609285632 99411205632 99887870976 101018067792 102711968319 103390806016 105124493312 105628553216 106823703872 106887251584 109695123456 110221099008 111468212736 111534523392 112069318656 113337344352 117944553472 122063498582 123072577536 125061897216 127370607216 132548274176 133183827968 134690757056 136949291092 138974429184 140546876928 142903608096 143588814528 145213472451 148624283648 148712697856 149425758208 151116459136 155086209024 155178467328 157686739968 158442829824 160235555808 160330877376 166749196288 169827476288 173999161344 176916830208 183095247873 187395835904 190538144128 191451752704 193617963268 198822411264 199775741952 202036135584 205423936638 210248986624 211257106432 213647407744 213774503168 219390246912 222936425472 223069046784 224138637312 226674688704 235889106944 244126997164 250123794432 254741214432 265096548352 266367655936 269381514112 273898582184 281093753856 285807216192 287177629056 290426944902 297248567296 297425395712 298851516416 302232918272 310172418048 315373479936 316885659648 320471111616 320661754752 333498392576 339654952576 353833660416 366190495746 374791671808 381076288256 382903505408 387235926536 397644822528 399551483904 404072271168 410847873276 420497973248 422514212864 427294815488 427549006336 445872850944 446138093568 448277274624 453349377408 471778213888 488253994328 500247588864 509482428864 530193096704 532735311872 538763028224 547797164368 562187507712 571614432384 574355258112 580853889804 594497134592 594850791424 597703032832 604465836544 630746959872 633771319296 640942223232 641323509504 666996785152 679309905152 707667320832 732380991492 749583343616 762152576512 765807010816 774471853072 795289645056 799102967808 808144542336 821695746552 840995946496 845028425728 854589630976 855098012672 891745701888 892276187136 896554549248 906698754816 943556427776 976507988656 1000495177728 1018964857728 1060386193408 1065470623744 1077526056448 1095594328736 1124375015424 1143228864768 1148710516224 1161707779608 1188994269184 1189701582848 1208931673088 1261493919744 1267542638592 1281884446464 1282647019008 1333993570304 1358619810304 1403730233693 1415334641664 1464761982984 1499166687232 1524305153024 1531614021632 1548943706144 1590579290112 1598205935616 1616289084672 1643391493104 1681991892992 1709179261952 1710196025344 1783491403776 1784552374272 1793109098496 1813397509632 1953015977312 2000990355456 2037929715456 2120772386816 2155052112896 2191188657472 2248750030848 2286457729536 2297421032448 2323415559216 2377988538368 2417863346176 2522987839488 2535085277184 2563768892928 2565294038016 2717239620608 2807460467386 2830669283328 2929523965968 2998333374464 3048610306048 3063228043264 3097887412288 3181158580224 3196411871232 3232578169344 3286782986208 3418358523904 3420392050688 3566982807552 3569104748544 3626795019264 3906031954624 4001980710912 4075859430912 4211190701079 4310104225792 4382377314944 4497500061696 4572915459072 4594842064896 4646831118432 4835726692352 5045975678976 5127537785856 5130588076032 5434479241216 5614920934772 5859047931936 6097220612096 6126456086528 6195774824576 6362317160448 6465156338688 6573565972416 6836717047808 6840784101376 7133965615104 7253590038528 7812063909248 8151718861824 8422381402158 8620208451584 8764754629888 8995000123392 9145830918144 9189684129792 9293662236864 9671453384704 10255075571712 10261176152064 10868958482432 11229841869544 11718095863872 12194441224192 12252912173056 12391549649152 12930312677376 13147131944832 13673434095616 13681568202752 14507180077056 15624127818496 16303437723648 16844762804316 17240416903168 17529509259776 18291661836288 18379368259584 18587324473728 19342906769408 20510151143424 20522352304128 21737916964864 22459683739088 23436191727744 24388882448384 24505824346112 24783099298304 25860625354752 26294263889664 27346868191232 27363136405504 29014360154112 31248255636992 32606875447296 33689525608632 34480833806336 35059018519552 36583323672576 36758736519168 37174648947456 38685813538816 41020302286848 41044704608256 43475833929728 44919367478176 46872383455488 48777764896768 49566198596608 51721250709504 52588527779328 54693736382464 58028720308224 62496511273984 65213750894592 67379051217264 68961667612672 70118037039104 73166647345152 73517473038336 74349297894912 82040604573696 82089409216512 86951667859456 89838734956352 93744766910976 99132397193216 103442501419008 105177055558656 116057440616448 124993022547968 130427501789184 134758102434528 140236074078208 146333294690304 148698595789824 164081209147392 179677469912704 187489533821952 198264794386432 206885002838016 210354111117312 249986045095936 260855003578368 269516204869056 280472148156416 297397191579648 359354939825408 374979067643904 396529588772864 420708222234624 499972090191872 539032409738112 560944296312832 594794383159296 718709879650816 749958135287808 793059177545728 841416444469248 999944180383744 1078064819476224 1121888592625664 1189588766318592 1437419759301632 1499916270575616 1586118355091456 1682832888938496 1999888360767488 2156129638952448 2379177532637184 2874839518603264 2999832541151232 3365665777876992 4312259277904896 4758355065274368 5749679037206528 5999665082302464 8624518555809792 11499358074413056 17249037111619584 22998716148826112 34498074223239168 45997432297652224 68996148446478336 137992296892956672
- Sum of all divisors σ(n): 408561507014923080
- Sum of proper divisors (its aliquot sum) s(n): 270569210121966408
- 137992296892956672 is an abundant number, because the sum of its proper divisors (270569210121966408) is greater than itself. Its abundance is 132576913229009736
Bases of 137992296892956672
- Binary: 1111010100011111101000011010011100000101110000000000000002
- Hexadecimal: 0x1EA3F434E0B8000
- Base-36: 11QQ6Q1MJITC
Squares and roots of 137992296892956672
- 137992296892956672 squared (1379922968929566722) is 19041874001793899592969442069315584
- 137992296892956672 cubed (1379922968929566723) is 2627631930653816760912521379423996172653701206376448
-
The
square root of 137992296892956672 is 371473144.2418908861 -
The
cube root of 137992296892956672 is 516755.3098508441
Scales and comparisons
How big is 137992296892956672?- 137,992,296,892,956,672 seconds is equal to 4,387,728,202 years, 51 weeks, 5 days, 16 hours, 51 minutes, 12 seconds.
-
To count from 1 to 137,992,296,892,956,672 would take you about thirteen billion, one hundred sixty-three million, one hundred eighty-four thousand, six hundred eight 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 137992296892956672 cubic inches would be around 43062.9 feet tall.
Recreational maths with 137992296892956672
- 137992296892956672 backwards is 276659298692299731
- The number of decimal digits it has is: 18
- The sum of 137992296892956672's digits is 102
- More coming soon!
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Cite this page
MLA style:
"Number 137992296892956672 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 137992296892956672 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/137992296892956672/
Chicago style:
Numbermatics. 2024. "Number 137992296892956672 - Facts about the integer". https://numbermatics.com/n/137992296892956672/
The information we have on file for 137992296892956672 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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