138468171126238200
138,468,171,126,238,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 138468171126238200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
138468171126238200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 138468171126238200:
23 × 32 × 52 × 134 × 79 × 58392
(2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 13 × 79 × 5839 × 5839)See below for interesting mathematical facts about the number 138468171126238200 from the Numbermatics database.
Names of 138468171126238200
- Cardinal: 138468171126238200 can be written as One hundred thirty-eight quadrillion, four hundred sixty-eight trillion, one hundred seventy-one billion, one hundred twenty-six million, two hundred thirty-eight thousand, two hundred.
Scientific notation
- Scientific notation: 1.384681711262382 × 1017
Factors of 138468171126238200
Divisors of 138468171126238200
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 79 90 100 104 117 120 130 150 156 158 169 180 195 200 225 234 237 260 300 312 316 325 338 360 390 395 450 468 474 507 520 585 600 632 650 676 711 780 790 845 900 936 948 975 1014 1027 1170 1185 1300 1352 1422 1521 1560 1580 1690 1800 1896 1950 1975 2028 2054 2197 2340 2370 2535 2600 2844 2925 3042 3081 3160 3380 3555 3900 3950 4056 4108 4225 4394 4680 4740 5070 5135 5688 5839 5850 5925 6084 6162 6591 6760 7110 7605 7800 7900 8216 8450 8788 9243 9480 10140 10270 10985 11678 11700 11850 12168 12324 12675 13182 13351 14220 15210 15405 15800 16900 17517 17576 17775 18486 19773 20280 20540 21970 23356 23400 23700 24648 25350 25675 26364 26702 28440 28561 29195 30420 30810 32955 33800 35034 35550 36972 38025 39546 40053 41080 43940 46215 46712 47400 50700 51350 52551 52728 53404 54925 57122 58390 60840 61620 65910 66755 70068 71100 73944 75907 76050 77025 79092 80106 85683 87585 87880 92430 98865 101400 102700 105102 106808 109850 114244 116780 120159 123240 131820 133510 140136 142200 142805 145975 151814 152100 154050 158184 160212 164775 171366 173563 175170 184860 197730 200265 205400 210204 219700 227721 228488 231075 233560 240318 257049 262755 263640 267020 285610 291950 303628 304200 308100 320424 329550 333775 342732 347126 350340 369720 379535 395460 400530 420408 428415 437925 439400 455442 461281 462150 480636 494325 514098 520689 525510 534040 571220 583900 600795 607256 616200 659100 667550 683163 685464 694252 700680 714025 759070 790920 801060 856830 867815 875850 910884 922562 924300 961272 986791 988650 1001325 1028196 1041378 1051020 1138605 1142440 1167800 1201590 1285245 1313775 1318200 1335100 1366326 1383843 1388504 1428050 1518140 1562067 1602120 1713660 1735630 1751700 1821768 1845124 1848600 1897675 1973582 1977300 2002650 2056392 2082756 2102040 2142075 2256319 2277210 2306405 2403180 2570490 2603445 2627550 2670200 2732652 2767686 2856100 2960373 3003975 3036280 3124134 3415815 3427320 3471260 3503400 3690248 3795350 3947164 3954600 4005300 4151529 4165512 4284150 4339075 4512638 4554420 4612810 4806360 4933955 5140980 5206890 5255100 5465304 5535372 5693025 5712200 5920746 5996653 6007950 6248268 6426225 6768957 6831630 6919215 6942520 7590700 7810335 7894328 8010600 8303058 8568300 8678150 8881119 9025276 9108840 9225620 9867910 10281960 10413780 10510200 11070744 11281595 11386050 11532025 11841492 11993306 12015900 12496536 12828283 12852450 13017225 13537914 13663260 13838430 14801865 15181400 15620670 16606116 17079075 17136600 17356300 17762238 17989959 18050552 18451240 19735820 20306871 20757645 20827560 22563190 22772100 23064050 23682984 23986612 24031800 24669775 25656566 25704900 26034450 27075828 27326520 27676860 29603730 29983265 31241340 33212232 33844785 34093921 34158150 34596075 34712600 35524476 35979918 38484849 39051675 39471640 40613742 41515290 44405595 45126380 45544200 46128100 47973224 49339550 51313132 51409800 52068900 53969877 54151656 55353720 56407975 59207460 59966530 62482680 64141415 67689570 68187842 68316300 69192150 71048952 71959836 74009325 76969698 77956489 78103350 81227484 83030580 88811190 89949795 90252760 92256200 98679100 101534355 102281763 102626264 103788225 104137800 107939754 112815950 115454547 118414920 119933060 128282830 135379140 136375684 136632600 138384300 143919672 148018650 149916325 153939396 155912978 156206700 162454968 166061160 166767679 169223925 170469605 177622380 179899590 192424245 197358200 203068710 204563526 207576450 215879508 222027975 225631900 230909094 233869467 239866120 256565660 269849385 270758280 272751368 276768600 296037300 299832650 306845289 307878792 311825956 312413400 320707075 333535358 338447850 340939210 355244760 359799180 384848490 389782445 406137420 409127052 415152900 431759016 443220973 444055950 449748975 451263800 461818188 467738934 500303037 507671775 511408815 513131320 539698770 577272735 592074600 599665300 613690578 623651912 641414150 667070716 676895700 681878420 701608401 719598360 769696980 779564890 812274840 818254104 830305800 833838395 852348025 886441946 888111900 899497950 923636376 935477868 962121225 1000606074 1013434357 1015343550 1022817630 1079397540 1154545470 1169347335 1199330600 1227381156 1282828300 1329662919 1334141432 1349246925 1353791400 1363756840 1403216802 1500909111 1534226445 1539393960 1559129780 1667676790 1704696050 1772883892 1776223800 1798995900 1870955736 1924242450 1948912225 2001212148 2026868714 2030687100 2045635260 2158795080 2216104865 2309090940 2338694670 2454762312 2501515185 2557044075 2565656600 2659325838 2693419759 2698493850 2806433604 2886363675 3001818222 3040303071 3068452890 3118259560 3335353580 3409392100 3508042005 3545767784 3597991800 3848484900 3897824450 3988988757 4002424296 4053737428 4061374200 4091270520 4169191975 4432209730 4618181880 4677389340 5003030370 5067171785 5114088150 5318651676 5386839518 5396987700 5612867208 5761872649 5772727350 5846736675 6003636444 6080606142 6136905780 6648314595 6670707160 6818784200 7016084010 7504545555 7671132225 7696969800 7795648900 7977977514 8080259277 8107474856 8338383950 8864419460 9120909213 9354778680 10006060740 10134343570 10228176300 10637303352 10773679036 10793975400 11080524325 11523745298 11545454700 11693473350 12007272888 12161212284 12273811560 12507575925 13174646641 13296629190 13467098795 14032168020 15009091110 15201515355 15342264450 15591297800 15955955028 16160518554 16676767900 17285617947 17540210025 17728838920 18241818426 19944943785 20012121480 20268687140 20456352600 21547358072 22161048650 23047490596 23090909400 23386946700 24240777831 24322424568 25015151850 25335858925 26349293282 26593258380 26934197590 28064336040 28809363245 30018182220 30403030710 30684528900 31911910056 32321037108 33241572975 33353535800 34571235894 35014456867 35080420050 36483636852 37522727775 39523939923 39889887570 40401296385 40537374280 44322097300 45604546065 46094981192 46773893400 48481555662 50030303700 50671717850 51856853841 52698586564 53186516760 53868395180 57618726490 60036364440 60806061420 61369057800 64642074216 65873233205 66483145950 67335493975 69142471788 70028913734 70160840100 72967273704 74904344437 75045455550 76007576775 79047879846 79779775140 80802592770 86428089735 88644194600 91209092130 96963111324 99724718925 100060607400 101343435700 103713707682 105043370601 105397173128 107736790360 115237452980 118571819769 121203889155 121612122840 131746466410 132966291900 134670987950 138284943576 140057827468 140321680200 144046816225 149808688874 150090911100 152015153550 158095759692 159559550280 161605185540 172856179470 175072284335 182418184260 193926222648 197619699615 199449437850 202006481925 202686871400 207427415364 210086741202 224713033311 228022730325 230474905960 237143639538 242407778310 259284269205 263492932820 265932583800 269341975900 280115654936 288093632450 299617377748 300181822200 304030307100 315130111803 316191519384 323210371080 329366166025 345712358940 350144568670 364836368520 374521722185 395239399230 398898875700 404012963850 414854830728 420173482404 432140448675 449426066622 455187939271 456045460650 474287279076 484815556620 518568538410 525216853005 526985865640 538683951800 576187264900 592859098845 599234755496 606019445775 608060614200 630260223606 658732332050 674139099933 691424717880 700289137340 749043444370 790478798460 797797751400 808025927700 840346964808 864280897350 875361421675 898852133244 910375878542 912090921300 948574558152 969631113240 973756477681 988098498075 1037137076820 1050433706010 1123565166555 1152374529800 1185718197690 1212038891550 1260520447212 1296421346025 1317464664100 1348278199866 1365563817813 1400578274680 1498086888740 1575650559015 1580957596920 1616051855400 1728561794700 1750722843350 1797704266488 1820751757084 1824181842600 1872608610925 1947512955362 1976196996150 2074274153640 2100867412020 2247130333110 2275939696355 2371436395380 2424077783100 2521040894424 2592842692050 2626084265025 2634929328200 2696556399732 2731127635626 2921269433043 2964295494225 2996173777480 3151301118030 3370695499665 3457123589400 3501445686700 3641503514168 3745217221850 3895025910724 3952393992300 4096691453439 4201734824040 4494260666220 4551879392710 4742872790760 4848155566200 4868782388405 5185685384100 5252168530050 5393112799464 5462255271252 5617825832775 5842538866086 5917443210523 5928590988450 6302602236060 6741390999330 6827819089065 7002891373400 7490434443700 7790051821448 7878252795075 7904787984600 8193382906878 8763808299129 8988521332440 9103758785420 9737564776810 10371370768200 10504337060100 10924510542504 11235651665550 11379698481775 11685077732172 11834886421046 11857181976900 12605204472120 13482781998660 13655638178130 14606347165215 14980868887400 15756505590150 16386765813756 16853477498325 17527616598258 17752329631569 18207517570840 19475129553620 20483457267195 21008674120200 22471303331100 22759396963550 23370155464344 23669772842092 23714363953800 24343911942025 26965563997320 27311276356260 29212694330430 29587216052615 31513011180300 32773531627512 33706954996650 34139095445325 35055233196516 35504659263138 38950259107240 40966914534390 43819041495645 44942606662200 45518793927100 47339545684184 48687823884050 53256988894707 54622552712520 58425388660860 59174432105230 63026022360600 67413909993300 68278190890650 70110466393032 71009318526276 73031735826075 76926761736799 81933829068780 87638082991290 88761648157845 91037587854200 97375647768100 102417286335975 106513977789414 116850777321720 118348864210460 134827819986600 136556381781300 142018637052552 146063471652150 147936080263075 153853523473598 163867658137560 175276165982580 177523296315690 194751295536200 204834572671950 213027955578828 219095207478225 230780285210397 236697728420920 266284944473535 273112763562600 292126943304300 295872160526150 307707046947196 350552331965160 355046592631380 384633808683995 409669145343900 426055911157656 438190414956450 443808240789225 461560570420794 532569888947070 584253886608600 591744321052300 615414093894392 692340855631191 710093185262760 769267617367990 819338290687800 876380829912900 887616481578450 923121140841588 1065139777894140 1153901426051985 1183488642104600 1331424722367675 1384681711262382 1538535234735980 1752761659825800 1775232963156900 1846242281683176 1923169043419975 2130279555788280 2307802852103970 2662849444735350 2769363422524764 3077070469471960 3461704278155955 3550465926313800 3846338086839950 4615605704207940 5325698889470700 5538726845049528 5769507130259925 6923408556311910 7692676173679900 9231211408415880 10651397778941400 11539014260519850 13846817112623820 15385352347359800 17308521390779775 23078028521039700 27693634225247640 34617042781559550 46156057042079400 69234085563119100 138468171126238200
- Sum of all divisors σ(n): 510237028986843600
- Sum of proper divisors (its aliquot sum) s(n): 371768857860605400
- 138468171126238200 is an abundant number, because the sum of its proper divisors (371768857860605400) is greater than itself. Its abundance is 233300686734367200
Bases of 138468171126238200
- Binary: 1111010111111000000010001011010001010110101101011111110002
- Hexadecimal: 0x1EBF01168AD6BF8
- Base-36: 11VEVBNEBV20
Squares and roots of 138468171126238200
- 138468171126238200 squared (1384681711262382002) is 19173434415045186344600483139240000
- 138468171126238200 cubed (1384681711262382003) is 2654910397660181683864361868813845840668006968000000
-
The
square root of 138468171126238200 is 372113116.0362910401 -
The
cube root of 138468171126238200 is 517348.6482809311
Scales and comparisons
How big is 138468171126238200?- 138,468,171,126,238,200 seconds is equal to 4,402,859,531 years, 33 weeks, 1 day, 15 hours, 30 minutes.
-
To count from 1 to 138,468,171,126,238,200 would take you about thirteen billion, two hundred eight million, five hundred seventy-eight thousand, five hundred ninety-four 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 138468171126238200 cubic inches would be around 43112.4 feet tall.
Recreational maths with 138468171126238200
- 138468171126238200 backwards is 002832621171864831
- The number of decimal digits it has is: 18
- The sum of 138468171126238200's digits is 63
- More coming soon!
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"Number 138468171126238200 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 138468171126238200 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138468171126238200/
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The information we have on file for 138468171126238200 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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