137843728195989504
137,843,728,195,989,504 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137843728195989504 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1664 divisors.
137843728195989504 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, six hundred sixty-four divisors.
Prime factorization of 137843728195989504:
212 × 3 × 13 × 19 × 31 × 79 × 101 × 183611
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 19 × 31 × 79 × 101 × 183611)See below for interesting mathematical facts about the number 137843728195989504 from the Numbermatics database.
Names of 137843728195989504
- Cardinal: 137843728195989504 can be written as One hundred thirty-seven quadrillion, eight hundred forty-three trillion, seven hundred twenty-eight billion, one hundred ninety-five million, nine hundred eighty-nine thousand, five hundred four.
Scientific notation
- Scientific notation: 1.37843728195989504 × 1017
Factors of 137843728195989504
Divisors of 137843728195989504
- Number of divisors d(n): 1664
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 31 32 38 39 48 52 57 62 64 76 78 79 93 96 101 104 114 124 128 152 156 158 186 192 202 208 228 237 247 248 256 303 304 312 316 372 384 403 404 416 456 474 494 496 512 589 606 608 624 632 741 744 768 806 808 832 912 948 988 992 1024 1027 1178 1209 1212 1216 1248 1264 1313 1482 1488 1501 1536 1612 1616 1664 1767 1824 1896 1919 1976 1984 2048 2054 2356 2418 2424 2432 2449 2496 2528 2626 2964 2976 3002 3072 3081 3131 3224 3232 3328 3534 3648 3792 3838 3939 3952 3968 4096 4108 4503 4712 4836 4848 4864 4898 4992 5056 5252 5757 5928 5952 6004 6144 6162 6262 6448 6464 6656 7068 7296 7347 7584 7657 7676 7878 7904 7936 7979 8216 9006 9393 9424 9672 9696 9728 9796 9984 10112 10504 11514 11856 11904 12008 12288 12324 12524 12896 12928 13312 14136 14592 14694 15168 15314 15352 15756 15808 15872 15958 16432 18012 18786 18848 19344 19392 19456 19513 19592 19968 20224 21008 22971 23028 23712 23808 23937 24016 24648 24947 25048 25792 25856 26624 28272 29184 29388 30336 30628 30704 31512 31616 31744 31837 31916 32864 36024 37572 37696 38688 38784 38912 39026 39184 39936 40448 40703 42016 45942 46056 46531 47424 47616 47874 48032 49296 49894 50096 51584 51712 53248 56544 58368 58539 58776 59489 60672 61256 61408 63024 63232 63488 63674 63832 65728 72048 74841 75144 75392 77376 77568 77824 78052 78368 79872 80896 81406 84032 91884 92112 93062 94848 95232 95511 95748 96064 98592 99788 100192 103168 103424 103727 113088 116736 117078 117552 118978 121344 122109 122512 122816 126048 126464 126976 127348 127664 131456 139593 144096 149682 150288 150784 151601 154752 155136 156104 156736 159744 161792 162812 168064 178467 183611 183768 184224 186124 189696 190464 191022 191496 192128 197184 199576 200384 206336 206848 207454 226176 233472 234156 235104 237956 242688 244218 245024 245632 247349 252096 252928 254696 255328 262912 279186 288192 299364 300576 301568 303202 309504 310272 311181 312208 313472 323584 325624 336128 356934 367222 367536 368448 372248 379392 380928 382044 382992 384256 394368 399152 400768 412672 413696 414908 452352 454803 468312 470208 475912 485376 488436 490048 491264 494698 504192 505856 509392 510656 525824 550833 558372 576384 598728 601152 603136 604903 606404 619008 620544 622362 624416 626944 651248 672256 713868 734444 735072 736896 742047 744496 758784 764088 765984 768512 773357 788736 798304 801536 825344 829816 904704 909606 936624 940416 951824 970752 976872 980096 982528 989396 1008384 1011712 1018784 1021312 1051648 1101666 1116744 1152768 1197456 1202304 1206272 1209806 1212808 1238016 1241088 1244724 1248832 1253888 1302496 1344512 1427736 1468888 1470144 1473792 1484094 1488992 1517568 1528176 1531968 1537024 1546714 1577472 1596608 1603072 1650688 1659632 1809408 1814709 1819212 1873248 1880832 1903648 1953744 1960192 1965056 1970813 1978792 2016768 2037568 2042624 2103296 2203332 2233488 2305536 2320071 2386943 2394912 2404608 2412544 2419612 2425616 2476032 2489448 2497664 2507776 2604992 2689024 2855472 2937776 2940288 2947584 2968188 2977984 3035136 3056352 3063936 3074048 3093428 3154944 3193216 3206144 3215537 3319264 3488609 3618816 3629418 3638424 3746496 3761664 3807296 3907488 3920384 3930112 3941626 3957584 4033536 4075136 4085248 4206592 4406664 4466976 4611072 4640142 4699631 4773886 4789824 4809216 4839224 4851232 4952064 4978896 4995328 5015552 5209984 5378048 5691941 5710944 5875552 5880576 5895168 5912439 5936376 5955968 6112704 6127872 6148096 6186856 6309888 6386432 6412288 6431074 6638528 6977218 7160829 7237632 7258836 7276848 7492992 7523328 7614592 7814976 7840768 7860224 7883252 7915168 8067072 8150272 8170496 8813328 8933952 9222144 9280284 9399262 9547772 9579648 9618432 9646611 9678448 9702464 9957792 9990656 10031104 10419968 10465827 11383882 11421888 11751104 11761152 11790336 11824878 11872752 11911936 12225408 12255744 12373712 12619776 12772864 12824576 12862148 13277056 13954436 14098893 14321658 14505269 14517672 14553696 14985984 15046656 15229184 15629952 15681536 15766504 15830336 16134144 16300544 16340992 17075823 17626656 17867904 18444288 18544711 18560568 18798524 19095544 19159296 19236864 19293222 19356896 19404928 19915584 19981312 20839936 20931654 22767764 22843776 23502208 23522304 23580672 23649756 23745504 23823872 24450816 24511488 24747424 25545728 25724296 26554112 27908872 28197786 28643316 29010538 29035344 29107392 29971968 30093312 30458368 31259904 31363072 31533008 31660672 32601088 32681984 34151646 35253312 35735808 37089422 37121136 37597048 38191088 38318592 38473728 38586444 38713792 38809856 39831168 39962624 41679872 41863308 43515807 45351917 45535528 45687552 47004416 47044608 47299512 47491008 47647744 48901632 49022976 49494848 51091456 51448592 53108224 55634133 55817744 56395572 57286632 58021076 58070688 58214784 59943936 60916736 61095203 62519808 63066016 63321344 65202176 68303292 70506624 71471616 73995233 74178844 74242272 75194096 76382176 76637184 77172888 77427584 77619712 79662336 79925248 83359744 83726616 87031614 90703834 91071056 91375104 94008832 94089216 94599024 94982016 95295488 97803264 98045952 98989696 102182912 102897184 106216448 108146879 111268266 111635488 112791144 114573264 116042152 116141376 116429568 119887872 121833472 122190406 125039616 126132032 126642688 130404352 136055751 136606584 141013248 142943232 147990466 148357688 148484544 150388192 152764352 153274368 154345776 154855168 155239424 159324672 166719488 167453232 174063228 181407668 182142112 182750208 183285609 188017664 188568497 189198048 189964032 190590976 195606528 197979392 205794368 212432896 216293758 221985699 222536532 223270976 225582288 229146528 232084304 232282752 232859136 239775744 241081243 243666944 244380812 250079232 252264064 253285376 272111502 273213168 275600111 282026496 285886464 295980932 296715376 296969088 300776384 305528704 306548736 308691552 309710336 310478848 318649344 324440637 334906464 348126456 352349509 362815336 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68348827528 69660544512 69942571008 70147480884 70321544112 70553628416 72410302848 73288697872 73585413248 75771118592 75959136256 76181672788 83056803072 83506833633 85987234632 86335361088 87382678232 89120372736 89682222396 89978203328 90201474304 90831994478 92575197312 92880726016 93529974512 93762058816 93842231808 96547070464 102523241292 105830442624 109933046808 110378119872 110742404096 111066844733 111342444844 113656677888 113938704384 114272509182 114649646176 115113814784 119576296528 123433596416 125122975744 131074017348 134967304992 135302211456 136247991717 136697655056 139321089024 140294961768 140643088224 141107256832 141996852127 144820605696 146577395744 147170826496 151542237184 152363345576 166113606144 167013667266 171974469264 172670722176 174765356464 178240745472 179364444792 179956406656 180402948608 181663988956 185150394624 185761452032 187059949024 187524117632 187684463616 193094140928 205046482584 211660885248 219866093616 220756239744 221484808192 222133689466 222684889688 227313355776 227877408768 228545018364 229299292352 230227629568 239152593056 246867192832 250245951488 262148034696 269934609984 270604422912 272495983434 273395310112 278642178048 280589923536 281286176448 282214513664 283993704254 289641211392 293154791488 294341652992 303084474368 304726691152 332227212288 333200534199 334027334532 343948938528 345341444352 349530712928 358728889584 359912813312 360805897216 361862945743 363327977912 370300789248 374119898048 375048235264 375368927232 386188281856 410092965168 423321770496 425990556381 439732187232 441512479488 442969616384 444267378932 445369779376 454626711552 457090036728 458598584704 460455259136 478305186112 493734385664 524296069392 539869219968 541208845824 544991966868 546790620224 557284356096 561179847072 562572352896 564429027328 567987408508 579282422784 586309582976 588683305984 590407964107 609453382304 664454424576 666401068398 668054669064 687897877056 690682888704 699061425856 717457779168 719825626624 721611794432 723725891486 726655955824 740601578496 748239796096 750096470528 750737854464 772376563712 820185930336 846643540992 851981112762 862903947541 879464374464 883024958976 888534757864 890739558752 909253423104 914180073456 917197169408 920910518272 956610372224 987468771328 1048592138784 1079738439936 1082417691648 1085588837229 1089983933736 1093581240448 1122359694144 1125144705792 1128858054656 1135974817016 1158564845568 1172619165952 1177366611968 1180815928214 1218906764608 1328908849152 1332802136796 1336109338128 1375795754112 1381365777408 1398122851712 1434915558336 1439651253248 1443223588864 1447451782972 1453311911648 1481203156992 1496479592192 1500192941056 1640371860672 1693287081984 1703962225524 1725807895082 1758928748928 1766049917952 1771223892321 1777069515728 1781479117504 1828360146912 1834394338816 1841821036544 1913220744448 2097184277568 2159476879872 2164835383296 2171177674458 2179967867472 2187162480896 2244719388288 2250289411584 2271949634032 2317129691136 2345238331904 2354733223936 2361631856428 2437813529216 2588711842623 2665604273592 2672218676256 2751591508224 2762731554816 2796245703424 2869831116672 2879302506496 2894903565944 2906623823296 2962406313984 2992959184384 3000385882112 3280743721344 3386574163968 3407924451048 3451615790164 3517857497856 3532099835904 3542447784642 3554139031456 3562958235008 3656720293824 3668788677632 3826441488896 4194368555136 4318953759744 4329670766592 4342355348916 4359935734944 4374324961792 4489438776576 4500578823168 4543899268064 4690476663808 4723263712856 4875627058432 5177423685246 5331208547184 5344437352512 5503183016448 5525463109632 5592491406848 5739662233344 5758605012992 5789807131888 5813247646592 5985918368768 6000771764224 6561487442688 6815848902096 6903231580328 7035714995712 7064199671808 7084895569284 7108278062912 7125916470016 7313440587648 7337577355264 7652882977792 8388737110272 8637907519488 8684710697832 8719871469888 8748649923584 8978877553152 9001157646336 9087798536128 9380953327616 9446527425712 9751254116864 10354847370492 10662417094368 10688874705024 11006366032896 11184982813696 11217751318033 11479324466688 11579614263776 11626495293184 11971836737536 13122974885376 13631697804192 13806463160656 14071429991424 14169791138568 14216556125824 14251832940032 14626881175296 14675154710528 15305765955584 16777474220544 17275815038976 17369421395664 17439742939776 17497299847168 17957755106304 18002315292672 18175597072256 18761906655232 18893054851424 19502508233728 20709694740984 21324834188736 21377749410048 22012732065792 22369965627392 22435502636066 22958648933376 23159228527552 23252990586368 23943673475072 26245949770752 27263395608384 27612926321312 28142859982848 28339582277136 28433112251648 28503665880064 29253762350592 30611531911168 33554948441088 33653253954099 34738842791328 34879485879552 34994599694336 35915510212608 36351194144512 37786109702848 39005016467456 41419389481968 42649668377472 42755498820096 44025464131584 44739931254784 44871005272132 45917297866752 46318457055104 46505981172736 52491899541504 54526791216768 55225852642624 56285719965696 56679164554272 56866224503296 57007331760128 58507524701184 67109896882176 67306507908198 69477685582656 69758971759104 71831020425216 72702388289024 75572219405696 78010032934912 82838778963936 85299336754944 85510997640192 89742010544264 91834595733504 92636914110208 93011962345472 104983799083008 109053582433536 110451705285248 113358329108544 113732449006592 114014663520256 117015049402368 134219793764352 134613015816396 138955371165312 139517943518208 145404776578048 151144438811392 165677557927872 170598673509888 171021995280384 179484021088528 185273828220416 186023924690944 218107164867072 220903410570496 226716658217088 227464898013184 234030098804736 269226031632792 277910742330624 279035887036416 290809553156096 302288877622784 331355115855744 341197347019776 342043990560768 358968042177056 370547656440832 436214329734144 441806821140992 453433316434176 454929796026368 538452063265584 555821484661248 558071774072832 581619106312192 604577755245568 662710231711488 682394694039552 717936084354112 741095312881664 872428659468288 883613642281984 906866632868352 1076904126531168 1111642969322496 1209155510491136 1325420463422976 1364789388079104 1435872168708224 1482190625763328 1744857318936576 1767227284563968 1813733265736704 2153808253062336 2223285938644992 2418311020982272 2650840926845952 2871744337416448 3534454569127936 3627466531473408 4307616506124672 4446571877289984 5301681853691904 5743488674832896 7254933062946816 8615233012249344 10603363707383808 11486977349665792 17230466024498688 22973954699331584 34460932048997376 45947909398663168 68921864097994752 137843728195989504
- Sum of all divisors σ(n): 439841442565324800
- Sum of proper divisors (its aliquot sum) s(n): 301997714369335296
- 137843728195989504 is an abundant number, because the sum of its proper divisors (301997714369335296) is greater than itself. Its abundance is 164153986173345792
Bases of 137843728195989504
- Binary: 1111010011011100000100011111101011010001100110000000000002
- Hexadecimal: 0x1E9B823F5A33000
- Base-36: 11P9IUJ0AQDC
Squares and roots of 137843728195989504
- 137843728195989504 squared (1378437281959895042) is 19000893402969831798873709678166016
- 137843728195989504 cubed (1378437281959895043) is 2619153985719943560294627804452769966811405105496064
-
The
square root of 137843728195989504 is 371273118.0626864399 -
The
cube root of 137843728195989504 is 516569.7892724899
Scales and comparisons
How big is 137843728195989504?- 137,843,728,195,989,504 seconds is equal to 4,383,004,177 years, 51 weeks, 1 day, 21 hours, 58 minutes, 24 seconds.
-
To count from 1 to 137,843,728,195,989,504 would take you about thirteen billion, one hundred forty-nine million, twelve thousand, five hundred thirty-three 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 137843728195989504 cubic inches would be around 43047.5 feet tall.
Recreational maths with 137843728195989504
- 137843728195989504 backwards is 405989591827348731
- 137843728195989504 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137843728195989504's digits is 93
- More coming soon!
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Cite this page
MLA style:
"Number 137843728195989504 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 137843728195989504 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/137843728195989504/
Chicago style:
Numbermatics. 2024. "Number 137843728195989504 - Facts about the integer". https://numbermatics.com/n/137843728195989504/
The information we have on file for 137843728195989504 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 137843728195989504, math, Factors of 137843728195989504, curriculum, school, college, exams, university, Prime factorization of 137843728195989504, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, eight hundred forty-three trillion, seven hundred twenty-eight billion, one hundred ninety-five million, nine hundred eighty-nine thousand, five hundred four.