137428630383825
137,428,630,383,825 is an odd composite number composed of six prime numbers multiplied together.
137428630383825 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 137428630383825:
35 × 52 × 113 × 192 × 232 × 89
(3 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 11 × 19 × 19 × 23 × 23 × 89)See below for interesting mathematical facts about the number 137428630383825 from the Numbermatics database.
Names of 137428630383825
- Cardinal: 137428630383825 can be written as One hundred thirty-seven trillion, four hundred twenty-eight billion, six hundred thirty million, three hundred eighty-three thousand, eight hundred twenty-five.
Scientific notation
- Scientific notation: 1.37428630383825 × 1014
Factors of 137428630383825
Divisors of 137428630383825
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 3 5 9 11 15 19 23 25 27 33 45 55 57 69 75 81 89 95 99 115 121 135 165 171 207 209 225 243 253 267 275 285 297 345 361 363 405 437 445 475 495 513 529 575 605 621 627 675 759 801 825 855 891 979 1035 1045 1083 1089 1215 1265 1311 1331 1335 1425 1485 1539 1587 1691 1725 1805 1815 1863 1881 2025 2047 2185 2225 2277 2299 2403 2475 2565 2645 2673 2783 2937 3025 3105 3135 3249 3267 3795 3933 3971 3993 4005 4275 4455 4617 4761 4807 4895 5073 5175 5225 5415 5445 5589 5643 5819 6075 6141 6325 6555 6655 6675 6831 6897 7209 7425 7695 7935 8303 8349 8455 8811 9025 9075 9315 9405 9747 9801 10051 10235 10769 10925 11385 11495 11799 11913 11979 12015 12825 13225 13365 13915 14283 14421 14685 15219 15525 15675 16245 16335 16929 17457 18423 18601 18975 19665 19855 19965 20025 20493 20691 21627 22275 22517 23085 23805 24035 24475 24909 25047 25289 25365 26433 27075 27225 27945 28215 29095 29241 29403 30153 30613 30705 32129 32307 32775 33275 34155 34485 35397 35739 35937 36045 38475 38893 39675 41515 41745 42275 42849 43263 43681 44055 45657 46575 47025 47081 48735 49005 50255 50787 51175 52371 52877 53845 55269 55803 56925 57475 58995 59565 59895 60075 61479 62073 64009 66825 67551 69575 71415 72105 73425 74727 75141 75867 76095 79299 81225 81675 84645 87285 87723 90459 91333 91839 92115 93005 96387 96921 98325 99275 99825 102465 103455 106191 107217 107811 108135 110561 112585 115425 116679 118459 119025 120175 124545 125235 126445 126825 128547 129789 131043 132165 136971 139725 141075 141243 145475 146205 147015 150765 153065 153525 157113 158631 160645 161535 165807 167409 170775 172425 176985 178695 179685 180225 186219 190969 192027 194465 202653 204611 207575 208725 214245 216315 218405 220275 224181 225423 227601 228285 235405 237897 243675 245025 247687 251275 253935 261855 264385 269225 271377 273999 275517 276345 279015 289161 290763 294975 297825 299475 307395 310365 320045 321651 323433 331683 337755 350037 353419 355377 357075 360525 373635 375705 379335 380475 389367 393129 396495 410913 423225 423729 427823 436425 438615 452295 456665 459195 460575 465025 471339 475893 480491 481935 484605 497421 502227 512325 517275 517891 530955 536085 539055 540675 552805 558657 562925 572907 576081 581647 583395 592295 607959 613833 622725 626175 632225 642735 648945 655215 660825 672543 676269 682803 684855 704099 706215 731025 735075 738967 743061 753825 765325 785565 793155 803225 807675 814131 821997 826551 829035 837045 867483 872289 884925 893475 894539 898425 931095 954845 960135 964953 972325 995049 1004663 1013265 1023055 1050111 1060257 1066131 1071225 1081575 1092025 1120905 1127115 1138005 1141425 1168101 1177025 1179387 1189485 1216171 1238435 1269675 1271187 1283469 1309275 1321925 1356885 1369995 1377585 1381725 1395075 1414017 1427679 1441473 1445805 1453815 1506681 1536975 1551825 1553673 1600225 1608255 1617165 1658415 1688775 1718721 1728243 1744941 1750185 1767095 1776885 1823877 1841499 1868175 1878525 1896675 1946835 1965645 1982475 2017629 2048409 2054565 2100659 2112297 2118645 2139115 2193075 2216901 2229183 2250721 2261475 2283325 2295975 2356695 2379465 2402455 2409675 2423025 2442393 2465991 2479653 2487105 2511135 2589455 2602449 2616867 2654775 2680425 2683617 2695275 2724557 2764025 2793285 2864535 2880405 2908235 2916975 2961475 2985147 3013989 3039795 3069165 3150333 3180771 3198393 3213675 3244725 3276075 3362715 3381345 3414015 3424275 3520495 3531075 3538161 3648513 3694835 3715305 3813561 3850407 3887609 3927825 3965775 4070655 4109985 4132755 4145175 4185225 4283037 4324419 4337415 4361445 4472695 4520043 4655475 4661019 4706053 4774225 4800675 4824765 4975245 5023315 5066325 5115275 5156163 5184729 5234823 5250555 5301285 5330655 5471631 5524497 5604525 5635575 5690025 5696801 5840505 5896935 5947425 6080855 6145227 6192175 6301977 6336891 6355935 6417345 6650703 6687549 6752163 6784425 6849975 6887925 7070085 7138395 7207365 7229025 7269075 7397973 7438959 7533405 7768365 7807347 8041275 8050851 8085825 8128637 8173671 8292075 8593605 8641215 8724705 8750925 8835475 8884425 8955441 9041967 9119385 9207495 9450999 9542313 9595179 9734175 9828225 9839929 10088145 10242045 10272825 10503295 10561485 10593225 10614483 10695575 10945539 11051293 11084505 11145915 11253605 11440683 11551221 11662827 11783475 11897325 12012275 12211965 12329955 12398265 12435525 12555675 12849111 12947275 12973257 13012245 13084335 13377881 13418085 13622785 13966425 13983057 14118159 14322675 14402025 14541175 14925735 15069945 15198975 15345825 15468489 15554187 15704469 15751665 15903855 15991965 16573491 16813575 16906725 16996241 17070075 17090403 17602475 17690805 18242565 18474175 18576525 18905931 19010673 19067805 19252035 19438045 19952109 20062647 20256489 20353275 20549925 20663775 21415185 21622095 21687075 21807225 22193919 22363475 22600215 23107249 23305095 23530265 24123825 24152553 24385911 24521013 24876225 25116575 25780815 25923645 26174115 26252775 26506425 26653275 26866323 27125901 27358155 27622485 28484005 28626939 28785537 29202525 29484675 29519787 30404275 30726135 31509885 31684455 31779675 32086725 32836617 33153879 33253515 33437745 33760815 34653663 34988481 35350425 35691975 36036825 36989865 37194795 37667025 38841825 38919771 39036735 40133643 40254255 40643185 40868355 41949171 42354477 42763699 42968025 43206075 43623525 44777205 45209835 45596925 46037475 46405467 47113407 47254995 47711565 47975895 49199645 49720473 50440725 50988723 51210225 51271209 51766583 52516475 52807425 53072415 54727695 55256465 55422525 55729575 56268025 56717793 57032019 57203415 57756105 58314135 59856327 60187941 60769467 61059825 61649775 61991325 62664811 64245555 64866285 65061225 65421675 66889405 67090425 68113925 69321747 69915285 70590795 72457659 73157733 73563039 74628675 75349725 77342445 77770935 78522345 78758325 79519275 79959825 81377703 82867455 84981205 85452015 85880817 88454025 88559361 89415007 91212825 94529655 95053365 95339025 96260175 97190225 98509851 99461637 99760545 100313235 101282445 103960989 104965443 107075925 108110475 108239219 110969595 113001075 115536245 116525475 116759313 117651325 120400929 120762765 121929555 122605065 125847513 127063431 128291097 128904075 129618225 130870575 134331615 135629505 136790775 138112425 141340221 142420025 143134695 143927685 147598935 152966169 153630675 153813627 155299749 157549425 158422275 164183085 165769395 166267575 167188725 168804075 170153379 171096057 173268315 174942405 179568981 182308401 184949325 185973975 186958651 187994433 194598855 195183675 200668215 201271275 203215925 204341775 207965241 209745855 211772385 213818495 217372977 219473199 220689117 223886025 226049175 232027335 235567035 236274975 238557825 239879475 244133109 245998225 248602365 254179739 254943615 256356045 258832915 265362075 265678083 268245021 273638475 276282325 283588965 285160095 286017075 288780525 291570675 295529553 298384911 299281635 300939705 303847335 313324055 314896329 321227775 324331425 324717657 334447025 346608735 349576425 352953975 361202787 362288295 365788665 367815195 381190293 384873291 386712225 388854675 392611725 406888515 414337275 424906025 427260075 429404085 442796805 447075035 458898507 461440881 465899247 472648275 475266825 492549255 497308185 498802725 501566175 506412225 510460137 519804945 524827215 541196095 546925203 554847975 560875953 563983299 577681225 583796565 602004645 603813825 609647775 613025325 623895723 629237565 635317155 641455485 658419597 662067351 671658075 678147525 706701105 715673475 719638425 737994675 762539217 764830845 769068135 776498745 797034249 804735063 820915425 828846975 850766895 855480285 866341575 874712025 895154733 897844905 911542005 934793255 939972165 944688987 972994275 974152971 983565077 1003341075 1039826205 1048729275 1058861925 1069092475 1083608361 1086864885 1097365995 1103445585 1143570879 1154619873 1160136675 1177835175 1190631409 1220665545 1243011825 1270898695 1274718075 1281780225 1294164575 1328390415 1341225105 1376695521 1384322643 1397697741 1417944825 1425800475 1477647765 1491924555 1496408175 1504698525 1519236675 1566620275 1574481645 1623588285 1682627859 1691949897 1733043675 1806013935 1811441475 1828943325 1839075975 1871687169 1905951465 1924366455 1975258791 2034442575 2056545161 2147020425 2213984025 2235375175 2287617651 2294492535 2307204405 2329496235 2391102747 2414205189 2462746275 2486540925 2552300685 2599024725 2624136075 2685464199 2705980475 2734626015 2804379765 2819916495 2918982825 2922458913 2950695231 3010023225 3119478615 3146187825 3176585775 3207277425 3250825083 3292097985 3310336755 3463859619 3533505525 3571894227 3812696085 3824154225 3845340675 3882493725 3985171245 4023675315 4130086563 4193093223 4253834475 4277401425 4475773665 4489224525 4557710025 4673966275 4699860825 4723444935 4870764855 4917825385 5047883577 5075849691 5199131025 5418041805 5434324425 5486829975 5517227925 5615061507 5717854395 5773099365 5953157045 6103327725 6169635483 6354493475 6641952075 6706125525 6862852953 6883477605 6921613215 6988488705 7242615567 7388238825 7459622775 7872408225 8117941425 8413139295 8459749485 8767376739 8852085693 9030069675 9358435845 9529757325 9621832275 9876293955 10282725805 10391578857 10715682681 11438088255 11472462675 11536022025 11647481175 11955513735 12071025945 12579279669 12761503425 13427320995 13673130075 14021898825 14099582475 14612294565 14753476155 15143650731 15227549073 15597393075 16254125415 16460489925 16551683775 17319298095 17859471135 18508906449 19063480425 19925856225 20118376575 20588558859 20650432815 20965466115 21727846701 22378868325 22621996771 23617224675 24353824275 24589126925 25239417885 25379248455 26302130217 26556257079 27090209025 28075307535 28589271975 28865496825 29765785225 30848177415 32147048043 34314264765 34417388025 34608066075 34942443525 36213077835 42065696475 42298747425 43836883695 44260428465 45430952193 46792179225 49381469775 51413629025 51957894285 53578413405 55526719347 57190441275 59777568675 60355129725 61765676577 62896398345 67136604975 67865990313 73061472825 73767380775 75718253655 76137745365 79668771237 81270627075 86596490475 89297355675 92544532245 96441144129 102942794295 103252164075 104827330575 108639233505 113109983855 126197089425 126896242275 131510651085 132781285395 140376537675 154240887075 160735240215 166580158041 171571323825 181065389175 203597970939 219184418475 221302142325 227154760965 239006313711 259789471425 267892067025 277633596735 289323432387 308828382885 314481991725 339329951565 378591268275 380688726825 398343856185 462722661225 482205720645 499740474123 514713971475 543196167525 565549919275 610793912817 657553255425 663906426975 803676201075 832900790205 1017989854695 1135773804825 1195031568555 1388167983675 1446617161935 1544141914425 1696649757825 1832381738451 1991719280925 2411028603225 2498702370615 3053969564085 4164503951025 5089949273475 5497145215353 5975157842775 7233085809675 9161908692255 12493511853075 15269847820425 27485726076765 45809543461275 137428630383825
- Sum of all divisors σ(n): 313254104829120
- Sum of proper divisors (its aliquot sum) s(n): 175825474445295
- 137428630383825 is an abundant number, because the sum of its proper divisors (175825474445295) is greater than itself. Its abundance is 38396844061470
Bases of 137428630383825
- Binary: 111110011111101100110001011001000101100110100012
- Hexadecimal: 0x7CFD98B22CD1
- Base-36: 1CPPUA8829
Squares and roots of 137428630383825
- 137428630383825 squared (1374286303838252) is 18886628449173987966821630625
- 137428630383825 cubed (1374286303838253) is 2595563480338165962420988082525106124640625
-
The
square root of 137428630383825 is 11722995.7939011905 -
The
cube root of 137428630383825 is 51605.0741138997
Scales and comparisons
How big is 137428630383825?- 137,428,630,383,825 seconds is equal to 4,369,805 years, 18 weeks, 1 day, 23 hours, 3 minutes, 45 seconds.
-
To count from 1 to 137,428,630,383,825 would take you about ten million, nine hundred twenty-four thousand, five hundred thirteen 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 137428630383825 cubic inches would be around 4300.4 feet tall.
Recreational maths with 137428630383825
- 137428630383825 backwards is 528383036824731
- The number of decimal digits it has is: 15
- The sum of 137428630383825's digits is 63
- More coming soon!
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"Number 137428630383825 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 137428630383825 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/137428630383825/
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The information we have on file for 137428630383825 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 137428630383825, math, Factors of 137428630383825, curriculum, school, college, exams, university, Prime factorization of 137428630383825, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, four hundred twenty-eight billion, six hundred thirty million, three hundred eighty-three thousand, eight hundred twenty-five.