138474508435113984
138,474,508,435,113,984 is an even composite number composed of five prime numbers multiplied together.
What does the number 138474508435113984 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1296 divisors.
138474508435113984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 138474508435113984:
211 × 3 × 72 × 195 × 4312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 19 × 19 × 19 × 19 × 19 × 431 × 431)See below for interesting mathematical facts about the number 138474508435113984 from the Numbermatics database.
Names of 138474508435113984
- Cardinal: 138474508435113984 can be written as One hundred thirty-eight quadrillion, four hundred seventy-four trillion, five hundred eight billion, four hundred thirty-five million, one hundred thirteen thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38474508435113984 × 1017
Factors of 138474508435113984
Divisors of 138474508435113984
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 64 76 84 96 98 112 114 128 133 147 152 168 192 196 224 228 256 266 294 304 336 361 384 392 399 431 448 456 512 532 588 608 672 722 768 784 798 862 896 912 931 1024 1064 1083 1176 1216 1293 1344 1444 1536 1568 1596 1724 1792 1824 1862 2048 2128 2166 2352 2432 2527 2586 2688 2793 2888 3017 3072 3136 3192 3448 3584 3648 3724 4256 4332 4704 4864 5054 5172 5376 5586 5776 6034 6144 6272 6384 6859 6896 7168 7296 7448 7581 8189 8512 8664 9051 9408 9728 10108 10344 10752 11172 11552 12068 12544 12768 13718 13792 14336 14592 14896 15162 16378 17024 17328 17689 18102 18816 19456 20216 20577 20688 21119 21504 22344 23104 24136 24567 25088 25536 27436 27584 29184 29792 30324 32756 34048 34656 35378 36204 37632 38912 40432 41154 41376 42238 43008 44688 46208 48013 48272 49134 50176 51072 53067 54872 55168 57323 58368 59584 60648 63357 65512 68096 69312 70756 72408 75264 80864 82308 82752 84476 89376 92416 96026 96544 98268 100352 102144 106134 109744 110336 114646 116736 119168 121296 126714 130321 131024 136192 138624 141512 144039 144816 150528 155591 161728 164616 165504 168952 171969 178752 184832 185761 192052 193088 196536 204288 212268 219488 220672 229292 238336 242592 253428 260642 262048 272384 277248 283024 288078 289632 301056 311182 323456 329232 331008 336091 337904 343938 357504 369664 371522 384104 386176 390963 393072 401261 408576 424536 438976 441344 458584 466773 476672 485184 506856 521284 524096 554496 557283 566048 576156 579264 622364 646912 658464 662016 672182 675808 687876 715008 739328 743044 768208 772352 781926 786144 802522 817152 849072 877952 882688 912247 917168 933546 953344 970368 1008273 1013712 1042568 1048192 1089137 1108992 1114566 1132096 1152312 1158528 1203783 1244728 1293824 1300327 1316928 1324032 1344364 1351616 1375752 1430016 1486088 1536416 1544704 1563852 1572288 1605044 1698144 1755904 1824494 1834336 1867092 1906688 1940736 2016546 2027424 2085136 2096384 2178274 2217984 2229132 2264192 2304624 2317056 2407566 2476099 2489456 2587648 2600654 2633856 2648064 2688728 2703232 2736741 2751504 2860032 2956229 2972176 3072832 3089408 3127704 3144576 3210088 3267411 3396288 3511808 3529459 3648988 3668672 3734184 3881472 3900981 4033092 4054848 4170272 4192768 4356548 4458264 4528384 4609248 4634112 4815132 4952198 4978912 5175296 5201308 5267712 5377456 5406464 5473482 5503008 5720064 5912458 5944352 6145664 6178816 6255408 6289152 6385729 6420176 6534822 6792576 7023616 7058918 7297976 7337344 7428297 7468368 7623959 7762944 7801962 8066184 8109696 8340544 8385536 8713096 8868687 8916528 9056768 9102289 9218496 9268224 9630264 9904396 9957824 10402616 10535424 10588377 10754912 10812928 10946964 11006016 11824916 11888704 12291328 12510816 12578304 12771458 12840352 13069644 13585152 14047232 14117836 14595952 14674688 14856594 14936736 15247918 15525888 15603924 16132368 16219392 16681088 16771072 17332693 17426192 17737374 17833056 18113536 18204578 18436992 18536448 19157187 19260528 19808792 19915648 20693603 20805232 21070848 21176754 21509824 21625856 21893928 22012032 22871877 23649832 23777408 24582656 24706213 25021632 25156608 25542916 25680704 26139288 27170304 27306867 28235672 29191904 29349376 29713188 29873472 30495836 31207848 32264736 32438784 33362176 34665386 34852384 35474748 35666112 36227072 36409156 36873984 38314374 38521056 39617584 39831296 41387206 41610464 42141696 42353508 43019648 43251712 43787856 44024064 45743754 47299664 47554816 49165312 49412426 50043264 50313216 51085832 51361408 51998079 52278576 54340608 54613734 56168351 56471344 58383808 58698752 59426376 59746944 60991672 62080809 62415696 64529472 64877568 66724352 67059721 69330772 69704768 70949496 71332224 72818312 73747968 74118639 76628748 77042112 79235168 79662592 82774412 83220928 84707016 86039296 87575712 88048128 91487508 94599328 95109632 98330624 98824852 100086528 102171664 102722816 103996158 104557152 108681216 109227468 112336702 112942688 116767616 117397504 118852752 119493888 121328851 121983344 124161618 124831392 129058944 129755136 133448704 134119442 138661544 139409536 141898992 142664448 144855221 145636624 147495936 148237278 153257496 154084224 158470336 159325184 165548824 166441856 168505053 169414032 172078592 172943491 175151424 176096256 182975016 189198656 190219264 197649704 200173056 201179163 204343328 205445632 207992316 209114304 218454936 224673404 225885376 233535232 237705504 238987776 242657702 243966688 248323236 249662784 258117888 266897408 268238884 277323088 278819072 283797984 285328896 289710442 291273248 294991872 296474556 306514992 308168448 316940672 318650368 331097648 332883712 337010106 338828064 344157184 345886982 350302848 352192512 363986553 365950032 378397312 380438528 393178457 395299408 400346112 402358326 408686656 410891264 415984632 418228608 434565663 436909872 449346808 451770752 467070464 469418047 475411008 477975552 485315404 487933376 496646472 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9857778987 10193077592 10595124736 10784323392 10842498048 11008996796 11068383424 11266033128 11647569696 11710401024 12581710624 12649581056 12806384028 12875466432 13077972992 13143705316 13311508224 13906101216 13981115904 14379097856 14940781366 15021377504 15213152256 15289616388 15530092928 15613868032 15892687104 16513495194 16602575136 17075178704 17167288576 17748677632 17837885786 18163070976 18541468288 18641487872 18872565936 18974371584 19616959488 19715557974 20386155184 21190249472 21568646784 21684996096 22017993592 22136766848 22411172049 22532066256 23295139392 23420802048 24208559281 25163421248 25299162112 25612768056 25750932864 26287410632 26623016448 26756828679 27812202432 27962231808 28758195712 29881562732 30042755008 30579232776 31060185856 31785374208 33026990388 33205150272 34150357408 34334577152 35497355264 35675771572 37082936576 37745131872 37948743168 39233918976 39431115948 40772310368 42380498944 43137293568 44035987184 44273533696 44822344098 45064132512 46590278784 46841604096 48417118562 50326842496 50598324224 51225536112 51501865728 52292734781 52574821264 53246032896 53513657358 55624404864 55924463616 57516391424 59763125464 60085510016 61158465552 62120371712 62432600251 63570748416 66053980776 66410300544 68300714816 68669154304 71351543144 72625677843 74165873152 75490263744 75897486336 78862231896 81544620736 86274587136 88071974368 88547067392 89644688196 90128265024 93180557568 96834237124 100653684992 102451072224 103003731456 104585469562 105149642528 106492065792 107027314716 111248809728 115032782848 119526250928 120171020032 122316931104 124240743424 124865200502 127141496832 132107961552 132820601088 136601429632 137338308608 142703086288 145251355686 148331746304 150980527488 151794972672 156878204343 157724463792 163089241472 169459914967 172549174272 176143948736 177094134784 179289376392 180256530048 186361115136 187297800753 193668474248 201307369984 204902144448 206007462912 209170939124 210299285056 214054629432 222497619456 239052501856 240342040064 244633862208 248481486848 249730401004 264215923104 265641202176 273202859264 285406172576 290502711372 296663492608 301961054976 313756408686 315448927584 326178482944 338919829934 345098348544 352287897472 354188269568 358578752784 360513060096 372722230272 374595601506 387336948496 402614739968 409804288896 412014925824 418341878248 420598570112 428109258864 444995238912 459962626339 478105003712 480684080128 489267724416 499460802008 508379744901 528431846208 531282404352 546405718528 570812345152 581005422744 603922109952 627512817372 630897855168 652356965888 677839659868 704575794944 717157505568 721026120192 745444460544 749191203012 774673896992 805229479936 819608577792 836683756496 841197140224 856218517728 889990477824 919925252678 956210007424 961368160256 978535448832 998921604016 1016759489802 1056863692416 1062564808704 1092811437056 1141624690304 1162010845488 1186219404769 1207844219904 1255025634744 1261795710336 1304713931776 1355679319736 1379887879017 1409151589888 1434315011136 1442052240384 1498382406024 1549347793984 1639217155584 1673367512992 1682394280448 1712437035456 1839850505356 1912420014848 1957070897664 1997843208032 2033518979604 2113727384832 2185622874112 2283249380608 2324021690976 2372438809538 2415688439808 2510051269488 2523591420672 2609427863552 2711358639472 2759775758034 2818303179776 2868630022272 2884104480768 2996764812048 3098695587968 3219738384373 3278434311168 3346735025984 3364788560896 3424874070912 3558658214307 3679701010712 3824840029696 3914141795328 3995686416064 4067037959208 4227454769664 4566498761216 4648043381952 4744877619076 5020102538976 5047182841344 5422717278944 5519551516068 5636606359552 5737260044544 5993529624096 6197391175936 6439476768746 6556868622336 6693470051968 6729577121792 6849748141824 7117316428614 7359402021424 7649680059392 7828283590656 7991372832128 8134075918416 8454909539328 9132997522432 9296086763904 9489755238152 9659215153119 10040205077952 10094365682688 10845434557888 11039103032136 11474520089088 11987059248192 12394782351872 12878953537492 13386940103936 13699496283648 14234632857228 14718804042848 15299360118784 15982745664256 16268151836832 16909819078656 18265995044864 18592173527808 18979510476304 19318430306238 20080410155904 20188731365376 21690869115776 22078206064272 22538168690611 22949040178176 23974118496384 24789564703744 25757907074984 26773880207872 27398992567296 28469265714456 29437608085696 31965491328512 32536303673664 37184347055616 37959020952608 38636860612476 40160820311808 43381738231552 44156412128544 45076337381222 45898080356352 47948236992768 49579129407488 51515814149968 53547760415744 54797985134592 56938531428912 58875216171392 63930982657024 65072607347328 67614506071833 74368694111232 75918041905216 77273721224952 80321640623616 86763476463104 88312824257088 90152674762444 95896473985536 103031628299936 107095520831488 113877062857824 117750432342784 127861965314048 130145214694656 135229012143666 148737388222464 151836083810432 154547442449904 160643281247232 173526952926208 176625648514176 180305349524888 191792947971072 206063256599872 227754125715648 235500864685568 260290429389312 270458024287332 303672167620864 309094884899808 321286562494464 347053905852416 353251297028352 360610699049776 383585895942144 412126513199744 455508251431296 471001729371136 520580858778624 540916048574664 607344335241728 618189769799616 706502594056704 721221398099552 824253026399488 911016502862592 942003458742272 1041161717557248 1081832097149328 1214688670483456 1236379539599232 1413005188113408 1442442796199104 1648506052798976 1822033005725184 2163664194298656 2429377340966912 2472759079198464 2826010376226816 2884885592398208 3297012105597952 3644066011450368 4327328388597312 4945518158396928 5769771184796416 6594024211195904 7288132022900736 8654656777194624 9891036316793856 11539542369592832 17309313554389248 19782072633587712 23079084739185664 34618627108778496 46158169478371328 69237254217556992 138474508435113984
- Sum of all divisors σ(n): 454361154052150800
- Sum of proper divisors (its aliquot sum) s(n): 315886645617036816
- 138474508435113984 is an abundant number, because the sum of its proper divisors (315886645617036816) is greater than itself. Its abundance is 177412137181922832
Bases of 138474508435113984
- Binary: 1111010111111010111010100111011011011100011001000000000002
- Hexadecimal: 0x1EBF5D4EDB8C800
- Base-36: 11VH46YWEQYO
Squares and roots of 138474508435113984
- 138474508435113984 squared (1384745084351139842) is 19175189486346453905963923072352256
- 138474508435113984 cubed (1384745084351139843) is 2655274938271991013532151676490150980570758359547904
-
The
square root of 138474508435113984 is 372121631.2378440383 -
The
cube root of 138474508435113984 is 517356.5407040003
Scales and comparisons
How big is 138474508435113984?- 138,474,508,435,113,984 seconds is equal to 4,403,061,038 years, 23 weeks, 6 days, 6 minutes, 24 seconds.
-
To count from 1 to 138,474,508,435,113,984 would take you about thirteen billion, two hundred nine million, one hundred eighty-three thousand, one hundred fifteen 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 138474508435113984 cubic inches would be around 43113 feet tall.
Recreational maths with 138474508435113984
- 138474508435113984 backwards is 489311534805474831
- The number of decimal digits it has is: 18
- The sum of 138474508435113984's digits is 78
- More coming soon!
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"Number 138474508435113984 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 138474508435113984 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/138474508435113984/
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Numbermatics. 2024. "Number 138474508435113984 - Facts about the integer". https://numbermatics.com/n/138474508435113984/
The information we have on file for 138474508435113984 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 138474508435113984, math, Factors of 138474508435113984, curriculum, school, college, exams, university, Prime factorization of 138474508435113984, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred seventy-four trillion, five hundred eight billion, four hundred thirty-five million, one hundred thirteen thousand, nine hundred eighty-four.