138688292441507985
138,688,292,441,507,985 is an odd composite number composed of seven prime numbers multiplied together.
138688292441507985 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 138688292441507985:
34 × 5 × 112 × 312 × 612 × 712 × 157
(3 × 3 × 3 × 3 × 5 × 11 × 11 × 31 × 31 × 61 × 61 × 71 × 71 × 157)See below for interesting mathematical facts about the number 138688292441507985 from the Numbermatics database.
Names of 138688292441507985
- Cardinal: 138688292441507985 can be written as One hundred thirty-eight quadrillion, six hundred eighty-eight trillion, two hundred ninety-two billion, four hundred forty-one million, five hundred seven thousand, nine hundred eighty-five.
Scientific notation
- Scientific notation: 1.38688292441507985 × 1017
Factors of 138688292441507985
Divisors of 138688292441507985
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 3 5 9 11 15 27 31 33 45 55 61 71 81 93 99 121 135 155 157 165 183 213 279 297 305 341 355 363 405 465 471 495 549 605 639 671 781 785 837 891 915 961 1023 1065 1089 1395 1413 1485 1647 1705 1727 1815 1891 1917 2013 2201 2343 2355 2511 2745 2883 3069 3195 3267 3355 3721 3751 3905 4185 4239 4331 4455 4805 4867 4941 5041 5115 5181 5445 5673 5751 6039 6603 7029 7065 7381 8235 8591 8635 8649 9207 9455 9577 9585 9801 10065 10571 11005 11147 11163 11253 11715 12555 12717 12993 14415 14601 15123 15345 15543 16335 17019 18117 18605 18755 18997 19809 20801 21087 21195 21655 22143 24211 24335 24705 25205 25773 25905 25947 27621 28365 28731 28755 30195 31713 33015 33441 33489 33759 35145 36905 38979 40931 42955 43245 43803 45369 46035 46629 47641 47885 49005 51057 52855 53537 54351 55451 55735 55815 56265 56991 58621 59427 62403 63261 63585 64965 66429 68231 72633 73005 75615 77319 77715 77841 85095 86193 90585 94985 95139 99045 100323 100467 101277 104005 105347 105435 110715 115351 116281 116937 121055 122617 122793 128865 129735 131409 134261 136107 138105 139887 142923 143655 150877 153171 156271 158565 160611 166353 167205 167445 168795 170973 175863 178281 187209 194895 199287 204655 204693 217899 219015 226845 228811 231957 233145 238205 255285 258579 264191 266321 267685 271755 277255 284955 285417 293105 296887 297135 300969 301401 303831 307501 312015 316041 316305 332145 341155 345557 346053 348843 350811 363165 367851 368379 386595 389205 394227 402783 408321 428769 430965 450241 452631 468813 475695 481833 499059 501615 502335 506385 512919 524051 526735 527589 561627 576755 581405 584197 584685 588907 597861 609961 613085 613965 614079 644831 653697 657045 671305 679967 680535 686433 695871 699435 714615 750541 754385 765855 775737 781355 791437 792573 798963 803055 831765 854865 856251 879315 890661 891405 902907 922503 936045 948123 996435 1023465 1036671 1038159 1046529 1089495 1103553 1105137 1144055 1158817 1159785 1208349 1268861 1286307 1292895 1320955 1331605 1348787 1350723 1357893 1406439 1427085 1445499 1476871 1484435 1497177 1504845 1507005 1519155 1537505 1538757 1572153 1580205 1582767 1659647 1684881 1718981 1727785 1730265 1744215 1752591 1754055 1766721 1829883 1839255 1841895 1842237 1934493 1961091 1971135 2013915 2039901 2041605 2059299 2143845 2251205 2251623 2263155 2344065 2374311 2377719 2396889 2409165 2495295 2564595 2620255 2637945 2671983 2767509 2808135 2844369 2906101 2920985 2944535 2989305 3049805 3070395 3110013 3114477 3139587 3224155 3265757 3268485 3310659 3315411 3382511 3399835 3432165 3476451 3479355 3575881 3625047 3752705 3801127 3806583 3858921 3878685 3957185 3962865 3994815 4046361 4052169 4073679 4162091 4219317 4281255 4336497 4430613 4453305 4491531 4514535 4612515 4716459 4740615 4748301 4844401 4978941 5156943 5183355 5190795 5232645 5257773 5300163 5489649 5517765 5525685 5526711 5794085 5803479 6041745 6119703 6177897 6344305 6426167 6431535 6743935 6753615 6754869 6789465 7032195 7093141 7122933 7133157 7190667 7227495 7384355 7479637 7485885 7693785 7860765 7913835 8015949 8189921 8255951 8298235 8302527 8424405 8533107 8594905 8705807 8718303 8762955 8833605 9149415 9203497 9211185 9330039 9343431 9418761 9532531 9672465 9797271 9805455 9931977 10147533 10199505 10296495 10429353 10712267 10727643 10875141 11258115 11403381 11419749 11871555 11888595 11984445 12139083 12156507 12221037 12486273 12657951 13291839 13359915 13837545 13957471 14149377 14221845 14530505 14533203 14936823 15470829 15550065 15572385 15697935 15773319 15900489 16245581 16328785 16468947 16553295 16577055 16912555 17382255 17410437 17879405 18110107 18125235 18256117 18359109 18533691 18757561 18908791 19005635 19032915 19278501 19294605 20231805 20260845 20264607 20368395 20810455 21078977 21096585 21279423 21368799 21399471 21572001 21682485 22153065 22438911 22457655 23582295 23741505 24047847 24222005 24534547 24569763 24767853 24894705 24907581 25784715 26117421 26154909 26288865 26500815 27448245 27610491 27633555 27990117 28597593 29017395 29391813 30442599 30598515 30889485 31288059 31967111 32130835 32136801 32182929 33774345 34210143 34259247 35465705 35614665 35665785 35923327 35953335 36417249 36469521 37207621 37398185 37458819 39334691 39875517 40079745 40949605 41279755 41477987 41512635 41812397 41872413 42448131 42665535 43529035 43591515 43599609 44810469 45783001 46017485 46412487 46650195 46717155 47093805 47319957 47662655 47701467 48277657 48736743 48986355 49406841 49659885 50737665 52146765 52231311 53288411 53561335 53638215 54330321 54375705 54768351 55077327 56272683 56726373 57016905 57098745 57835503 60695415 60782535 60793821 61105185 62431365 63236931 63289755 63838269 64106397 66459195 67316733 69787355 70687837 70746885 72666015 73603641 73709289 74303559 74684115 77354145 78352263 78464727 78866595 79502445 81227905 82276007 82344735 82831473 85792779 87052185 88175439 90089131 90550535 91280585 91327797 91795545 92668455 93787805 93864177 94543955 95763877 95901333 96392505 96410403 96548787 101238467 101323035 102630429 102777741 104857841 105394885 106397115 106843995 106997355 107769981 107860005 109251747 111622863 112194555 112376457 117834937 118004073 119626551 120239235 122672735 122848815 123839265 124433961 124537905 125437191 125617239 130587105 130774545 130798827 134431407 137349003 138052455 139237461 139950585 142987965 144832971 146210229 146959065 152212995 156440295 159835555 159865233 160684005 160914645 162990963 164305053 168818049 170179119 171050715 171296235 173506509 179616635 182086245 182347605 186038105 187294095 189710793 191514807 196673455 199211177 199377585 201950199 206333171 207389935 209061985 209362065 212063511 212240655 217998045 220810923 221127867 222910677 224052345 228915005 231868747 232062435 235056789 235394181 236599785 238507335 241388285 243683715 246828021 247034205 248494419 253887551 257378337 261156555 264526317 266442055 269880017 270267393 271651605 273841755 273983391 275386635 281363415 283631865 287291631 287703999 289177515 289231209 289646361 295508461 303715401 303969105 307891287 314573523 316184655 319191345 320531985 323309943 334868589 336583665 337129371 353439185 353504811 354012219 368018205 368546445 371517795 373301883 376311573 376851717 391761315 392323635 392396481 411380035 412047009 414157365 428963895 432681601 434498913 438630687 440877195 450445655 456257857 456638985 469320885 478819385 479506665 479595699 482052015 482743935 488972889 492915159 503613011 506192335 506454147 510537357 513152145 513888705 520519527 524289205 531054227 538849905 546258735 558114315 561413317 561882285 569132379 574544421 581484391 586172521 589174685 590020365 597633531 598132755 605850597 618999513 622169805 627185955 628086195 636190533 653448287 653994135 662432769 663383601 668732031 672157035 686745015 695606241 696187305 705170367 724164855 731051145 740484063 745483257 760570957 761662653 772135011 799326165 809640051 810802179 814954815 821525265 844090245 850895595 861874893 863111997 867532545 867693627 886525383 911146203 943720569 948553965 957574035 969929829 990980441 996055885 1004605767 1009750995 1031665855 1060317555 1060514433 1062036657 1104054615 1105639335 1113623137 1114553385 1119905649 1128934719 1130555151 1153436251 1159343735 1175283945 1176970905 1234140105 1236141027 1242472095 1269437755 1285817597 1286891685 1296184307 1298044803 1303496739 1315892061 1322631585 1349400085 1351336965 1368773571 1369916955 1436458155 1438519995 1438787097 1446156045 1448231805 1466918667 1477542305 1478745477 1496607367 1510839033 1518577005 1519362441 1531612071 1539456435 1572867615 1593162681 1616549715 1674342945 1684239951 1685646855 1707397137 1744453173 1758517563 1767524055 1770061095 1792900593 1856998539 1866509415 1881557865 1884258585 1908571599 1960344861 1961982405 1987298307 2060235045 2086818723 2163408005 2172494565 2191322947 2193153435 2221452189 2269664881 2281289285 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6396328301 6429087985 6480921535 6490224015 6517483695 6573968841 6579460305 6664356567 6808994643 6843867855 6845138613 6854963877 7187931157 7193935485 7286760459 7297219611 7334593335 7393727385 7483036835 7554195165 7596812205 7651668651 7658060355 7756874037 7965813405 7978728447 8200315827 8366280527 8378289183 8421199755 8493485121 8536985685 8722265865 8792587815 8834811231 8906040561 8918823969 8964502965 9284992695 9542857995 9544629897 9751779213 9801724305 9936491535 10022608233 10380926259 10434093615 10956614735 11107260945 11348324405 11408564355 11424939795 11572358373 11665658763 11682403227 12144600765 12162032685 12318962139 12752781085 12928123395 12946679955 13297880745 13469466303 13597551297 13667193045 13963815305 14143993567 14155808535 14338464129 14548947435 14724685385 14843400935 14864706615 15056509281 15069086505 15158159559 15700078557 15826658067 15907716495 15930549855 16136105337 16252965355 16462681037 16704347055 16712986851 16798584735 16934020785 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50113041165 51904631295 52574368473 52929311247 54078048363 55579918383 57566954709 57861791865 58328293815 58412016135 59165719569 61280951787 61594810695 61606247517 64691380413 67347331515 67931011357 67987756485 68865017859 70359611311 70719967835 71692320645 75282546405 75296524743 75404602647 75790797795 78500392785 79067242727 79133290335 79513301079 80154365049 80269415721 80680526685 82313405185 83564934255 87623947455 87766012917 88215518745 90130080605 90203474097 91293049387 92029085797 92161181013 92633197305 93428336331 93906842535 95944924515 97182923541 98609532615 102134919645 102677079195 102824458155 104151225357 104990928867 107269571343 107818967355 109301406885 114775029765 119581036521 119680926705 121225196727 125494207905 125674337745 127295942103 132522168465 133590608415 133782359535 135508583529 139184485131 146276688195 148164129333 150339123495 153601968355 155583929237 155713893885 157723105419 161971539235 162234145089 166739755149 172700864127 173585375595 174984881445 175236048405 177497158707 178782618905 181089491407 183842855361 184784432085 194074141239 198286177331 199301727535 202041994545 203793034071 203963269455 206595053577 211078833933 212159903505 215076961935 225847639215 225889574229 226213807941 227372393385 231974141885 235501178355 237201728181 237399871005 238539903237 240463095147 246940215555 262871842365 263298038751 264646556235 270390241815 273879148161 276087257391 276483543039 277899591915 287834773545 291548770623 295828597845 306404758935 308031237585 321808714029 323456902065 339655056785 344325089295 351798056555 356337386317 358743109563 376482623715 377023013235 381887826309 395336213635 397566505395 400771825245 401347078605 406525750587 417553455393 438463800577 438830064585 444492387999 451017370485 456465246935 460145428985 460805905065 466751787711 467141681655 473169316257 485914617705 486702435267 500219265447 510343112147 518102592381 520756126785 524954644335 536347856715 543268474221 582222423717 594858531993 597905182605 606125983635 611379102213 633236501799 636479710515 677542917645 677668722687 695922425655 711605184543 740820646665 777919646185 788615527095 811170725445 821637444483 828261772173 829450629117 833698775745 863504320635 874646311869 887485793535 905447457035 919214276805 965426142087 970370706195 991430886655 1004223543257 1018965170355 1032975267885 1055394169665 1069012158951 1076229328689 1129447871145 1131069039705 1145663478927 1186008640905 1192699516185 1202315475735 1252660366179 1315391401731 1316490193755 1333477163997 1369395740805 1380436286955 1382417715195 1400255363133 1457743853115 1460107305801 1531029336441 1609043570145 1629805422663 1781686931585 1784575595979 1793715547815 1834137306639 1899709505397 1909439131545 2032628752935 2087767276965 2134815553629 2181147950641 2192319002885 2222461939995 2333758938555 2365846581285 2433512176335 2464912333449 2484785316519 2488351887351 2501096327235 2551715560735 2590512961905 2623938935607 2716342371105 2830084530997 2896278426261 2911112118585 2974292659965 3012670629771 3056895511065 3166182508995 3207036476853 3228687986067 3388343613435 3558025922715 3757981098537 3946174205193 4108187222415 4141308860865 4147253145585 4200766089399 4373231559345 4593088009323 4823101806347 4827130710435 4889416267989 5021117716285 5345060794755 5353726787937 5381146643445 5502411919917 5613774233617 5699128516191 5728317394635 6263301830895 6404446660887 6543443851923 6576957008655 6667385819985 7001276815665 7300536529005 7394737000347 7454355949557 7655146682205 8149027113315 8490253592991 8922877979895 9038011889313 9170686533195 9498547526985 9621109430559 10674077768145 10905739753205 11046458975827 11838522615579 12324561667245 12423926582595 12441759436755 12602298268197 13119694678035 13779264027969 14150422654985 14469305419041 14481392131305 14668248803967 15063353148855 16035182384265 16061180363811 16143439930335 16841322700851 18789905492685 19630331555769 19730871025965 21003830446995 22965440046615 24115509031735 24447081339945 25470760778973 26768633939685 27114035667939 27512059599585 28068871168085 28495642580955 28863328291677 31130929840967 32022233304435 32717219259615 33139376927481 35515567846737 36973685001735 37271779747785 41337792083907 42451267964955 43407916257123 45190059446565 48105547152795 50523968102553 55232294879135 58890994667307 59192613077895 63011491340985 68896320139845 72346527095205 73341244019835 76412282336919 80305901819055 81342107003817 84206613504255 93392789522901 98151657778845 99418130782443 127353803894865 130223748771369 135570178339695 144316641458385 151571904307659 155654649204835 165696884637405 176672984001921 177577839233685 206688960419535 217039581285615 229236847010757 252619840512765 280178368568703 294454973336535 298254392347329 342440228250637 382061411684595 390671246314107 406710535019085 454715712922977 466963947614505 497090653912215 651118743856845 757859521538295 840535105706109 883364920009605 894763177041987 1027320684751911 1146184235053785 1400891842843515 1491271961736645 1712201141253185 1953356231570535 2273578564614885 2521605317118327 3081962054255733 4202675528530545 4473815885209935 5136603423759555 9245886162767199 12608026585591635 15409810271278665 27737658488301597 46229430813835995 138688292441507985
- Sum of all divisors σ(n): 293026387568022108
- Sum of proper divisors (its aliquot sum) s(n): 154338095126514123
- 138688292441507985 is an abundant number, because the sum of its proper divisors (154338095126514123) is greater than itself. Its abundance is 15649802685006138
Bases of 138688292441507985
- Binary: 1111011001011100001000100011001010111101101001000100100012
- Hexadecimal: 0x1ECB844657B4891
- Base-36: 11XKW9ZI2S29
Squares and roots of 138688292441507985
- 138688292441507985 squared (1386882924415079852) is 19234442460341240882952540818760225
- 138688292441507985 cubed (1386882924415079853) is 2667591980889164368480963477846134310306777137896625
-
The
square root of 138688292441507985 is 372408770.6291407753 -
The
cube root of 138688292441507985 is 517622.6442780303
Scales and comparisons
How big is 138688292441507985?- 138,688,292,441,507,985 seconds is equal to 4,409,858,708 years, 30 weeks, 2 days, 20 hours, 39 minutes, 45 seconds.
-
To count from 1 to 138,688,292,441,507,985 would take you about thirteen billion, two hundred twenty-nine million, five hundred seventy-six thousand, one hundred twenty-five 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 138688292441507985 cubic inches would be around 43135.2 feet tall.
Recreational maths with 138688292441507985
- 138688292441507985 backwards is 589705144292886831
- The number of decimal digits it has is: 18
- The sum of 138688292441507985's digits is 90
- More coming soon!
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"Number 138688292441507985 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 138688292441507985 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138688292441507985/
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Numbermatics. 2024. "Number 138688292441507985 - Facts about the integer". https://numbermatics.com/n/138688292441507985/
The information we have on file for 138688292441507985 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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