138478889039845200
138,478,889,039,845,200 is an even composite number composed of nine prime numbers multiplied together.
138478889039845200 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138478889039845200:
24 × 3 × 52 × 7 × 11 × 31 × 43 × 5581 × 201451
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 31 × 43 × 5581 × 201451)See below for interesting mathematical facts about the number 138478889039845200 from the Numbermatics database.
Names of 138478889039845200
- Cardinal: 138478889039845200 can be written as One hundred thirty-eight quadrillion, four hundred seventy-eight trillion, eight hundred eighty-nine billion, thirty-nine million, eight hundred forty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.384788890398452 × 1017
Factors of 138478889039845200
Divisors of 138478889039845200
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 31 33 35 40 42 43 44 48 50 55 56 60 62 66 70 75 77 80 84 86 88 93 100 105 110 112 120 124 129 132 140 150 154 155 165 168 172 175 176 186 200 210 215 217 220 231 240 248 258 264 275 280 300 301 308 310 330 336 341 344 350 372 385 400 420 430 434 440 462 465 473 496 516 525 528 550 560 600 602 616 620 645 651 660 682 688 700 744 770 775 825 840 860 868 880 903 924 930 946 1023 1032 1050 1075 1085 1100 1155 1200 1204 1232 1240 1290 1302 1320 1333 1364 1400 1419 1488 1505 1540 1550 1650 1680 1705 1720 1736 1806 1848 1860 1892 1925 2046 2064 2100 2150 2170 2200 2310 2325 2365 2387 2408 2480 2580 2604 2640 2666 2728 2800 2838 3010 3080 3100 3225 3255 3300 3311 3410 3440 3472 3612 3696 3720 3784 3850 3999 4092 4200 4300 4340 4400 4515 4620 4650 4730 4774 4816 5115 5160 5208 5332 5425 5456 5581 5676 5775 6020 6160 6200 6450 6510 6600 6622 6665 6820 7095 7161 7224 7440 7525 7568 7700 7998 8184 8400 8525 8600 8680 9030 9240 9300 9331 9460 9548 9933 10230 10320 10416 10664 10850 11162 11352 11550 11825 11935 12040 12400 12900 13020 13200 13244 13330 13640 14190 14322 14448 14663 15050 15400 15996 16275 16368 16555 16743 17050 17200 17360 18060 18480 18600 18662 18920 19096 19866 19995 20460 21328 21700 22324 22575 22704 23100 23650 23870 24080 25575 25800 26040 26488 26660 27280 27905 27993 28380 28644 29326 30100 30800 31992 32550 33110 33325 33486 34100 35475 35805 36120 37200 37324 37840 38192 39067 39732 39990 40920 43400 43989 44648 45150 46200 46655 47300 47740 49665 51150 51600 52080 52976 53320 55810 55986 56760 57288 58652 59675 60200 61391 63984 65100 66220 66650 66972 68200 70950 71610 72240 73315 74648 78134 79464 79980 81840 82775 83715 86800 87978 89296 90300 92400 93310 94600 95480 99330 99975 102300 102641 106640 111620 111972 113520 114576 117201 117304 119350 120400 122782 130200 132440 133300 133944 136400 139525 139965 141900 143220 146630 149296 156268 158928 159960 165550 167430 173011 175956 179025 180600 184173 186620 189200 190960 195335 198660 199950 201451 204600 205282 219945 223240 223944 233275 234402 234608 238700 239983 245564 248325 260400 264880 266600 267888 279050 279930 283800 286440 293260 306955 307923 312536 319920 331100 334860 346022 351912 358050 361200 366575 368346 373240 390670 397320 399900 402902 409200 410564 418575 429737 439890 446480 447888 466550 468804 477400 479966 491128 496650 513205 519033 533200 558100 559860 567600 572880 586005 586520 604353 613910 615846 625072 662200 669720 692044 699825 703824 716100 719949 733150 736692 746480 781340 794640 799800 805804 821128 837150 859474 865055 879780 920865 933100 937608 954800 959932 976675 982256 993300 1007255 1026410 1038066 1099725 1116200 1119720 1172010 1173040 1199915 1208706 1211077 1227820 1231692 1289211 1324400 1339440 1384088 1399650 1410157 1432200 1439898 1466300 1473384 1534775 1539615 1562680 1599600 1611608 1642256 1674300 1679881 1718948 1730110 1759560 1841730 1866200 1875216 1903121 1919864 1953350 1986600 2014510 2052820 2076132 2148685 2199450 2215961 2232400 2239440 2344020 2399830 2417412 2422154 2455640 2463384 2566025 2578422 2595165 2639813 2768176 2799300 2820314 2864400 2879796 2930025 2932600 2946768 3021765 3069550 3079230 3125360 3223216 3348600 3359762 3437896 3460220 3519120 3599745 3633231 3683460 3732400 3806242 3839728 3906700 3973200 4029020 4105640 4152264 4230471 4297370 4325275 4398900 4431922 4604325 4688040 4799660 4834824 4844308 4911280 4926768 5036275 5039643 5132050 5156844 5190330 5279626 5598600 5640628 5709363 5759592 5860050 5865200 5999575 6043530 6055385 6139100 6158460 6244981 6446055 6647883 6697200 6719524 6875792 6920440 7050785 7199490 7266462 7366920 7439473 7612484 7698075 7813400 7919439 8058040 8211280 8304528 8399405 8460942 8594740 8650550 8662393 8797800 8863844 9208650 9376080 9515605 9599320 9669648 9688616 10072550 10079286 10264100 10313688 10380660 10559252 10743425 11079805 11197200 11281256 11418726 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483448153330 487945345454 494691133640 496251170184 516928302275 519425690322 522798584415 531792968663 557651823376 563921784300 577036244400 580137783996 590256466275 590775202600 593629360368 618363917050 620313962730 629606897360 674578818600 676827414662 687407305200 692567587096 697064779220 708930243120 725172229995 731918018181 742036700460 751895712400 766771257142 773517045328 787008621700 800405113200 827085283640 836477735064 865709483870 871330974025 886162803900 927545875575 944410346040 966896306660 975890690908 989382267280 992502340368 1015241121993 1033856604550 1038851380644 1045597168830 1063585937326 1127843568600 1150156885713 1160275567992 1180512932550 1181550405200 1208620383325 1219863363635 1236727834100 1240627925460 1298564225805 1349157637200 1353654829324 1385135174192 1394129558440 1450344459990 1463836036362 1484073400920 1498689275323 1533542514284 1550784906825 1574017243400 1595378905989 1654170567280 1672955470128 1692068536655 1731418967740 1742661948050 1772325607800 1855091751150 1888820692080 1916928142855 1933792613320 1951781381816 2030482243986 2067713209100 2077702761288 2091194337660 2127171874652 2164273709675 2255687137200 2300313771426 2320551135984 2361025865100 2417240766650 2439726727270 2473455668200 2481255850920 2597128451610 2613992922075 2658964843315 2683699399997 2707309658648 2788259116880 2900688919980 2927672072724 2968146801840 2997378550646 3067085028568 3101569813650 3148034486800 3190757811978 3384137073310 3462837935480 3485323896100 3544651215600 3625861149975 3659590090905 3710183502300 3722550780641 3833856285710 3867585226640 3903562763632 4060964487972 4135426418200 4155405522576 4182388675320 4254343749304 4328547419350 4496067825969 4600627542852 4722051730200 4834481533300 4879453454540 4946911336400 4962511701840 5076205609965 5194256903220 5227985844150 5317929686630 5367398799994 5414619317296 5750784428565 5801377839960 5855344145448 5994757101292 6099316818175 6134170057136 6203139627300 6381515623956 6492821129025 6768274146620 6925675870960 6970647792200 7251722299950 7319180181810 7420367004600 7445101561282 7493446376615 7667712571420 7976894529945 8051098199991 8121928975944 8270852836400 8364777350640 8460342683275 8508687498608 8657094838700 8992135651938 9201255085704 9444103460400 9584640714275 9668963066600 9758906909080 10152411219930 10388513806440 10455971688300 10490824927261 10635859373260 10734797599988 11167652341923 11501568857130 11602755679920 11710688290896 11989514202584 12198633636350 12406279254600 12763031247912 12985642258050 13294824216575 13418496999985 13536548293240 13941295584400 14503444599900 14638360363620 14840734009200 14890203122564 14986892753230 15335425142840 15953789059890 16102196399982 16243857951888 16485582028553 16920685366550 17314189677400 17984271303876 18297950454525 18402510171408 18612753903205 19169281428550 19337926133200 19517813818160 20304822439860 20777027612880 20911943376600 20981649854522 21271718746520 21469595199976 22335304683846 22480339129845 23003137714260 23979028405168 24397267272700 24812558509200 25381028049825 25526062495824 25971284516100 26589648433150 26836993999970 27073096586480 28753922142825 29006889199800 29276720727240 29780406245128 29973785506460 30670850285680 31472474781783 31907578119780 32204392799964 32971164057106 33841370733100 34628379354800 35968542607752 36595900909050 37225507806410 37467231883075 38338562857100 39884472649725 40255490999955 40609644879720 41823886753200 41963299709044 42543437493040 42939190399952 44670609367692 44960678259690 46006275428520 48794534545400 49456746085659 50762056099650 51942569032200 52454124636305 53179296866300 53673987999940 55838261709615 57507844285650 58013778399600 58553441454480 59560812490256 59947571012920 62944949563566 63815156239560 64408785599928 65942328114212 67092484999925 67682741466200 71937085215504 73191801818100 74451015612820 74934463766150 76677125714200 79768945299450 80510981999910 81219289759440 82427910142765 83926599418088 89341218735384 89921356519380 92012550857040 93063769516025 97589069090800 98913492171318 101524112199300 103885138064400 104908249272610 106358593732600 107347975999880 111676523419230 112401695649225 115015688571300 115399074199871 119895142025840 125889899127132 127630312479120 128817571199856 131884656228424 134184969999850 135365482932400 146383603636200 148902031225640 149868927532300 153354251428400 157362373908915 159537890598900 161021963999820 164855820285530 167853198836176 178682437470768 179842713038760 186127539032050 197826984342636 201277454999775 203048224398600 209816498545220 212717187465200 214695951999760 223353046838460 224803391298450 230031377142600 230798148399742 247283730428295 251779798254264 262270623181525 263769312456848 268369939999700 279191308548075 292767207272400 297804062451280 299737855064600 314724747817830 319075781197800 322043927999640 329711640571060 346197222599613 359685426077520 372255078064100 395653968685272 402554909999550 406096448797200 412139550713825 419632997090440 446706093676920 449606782596900 460062754285200 461596296799484 494567460856590 503559596508528 524541246363050 536739879999400 558382617096150 576995370999355 599475710129200 629449495635660 638151562395600 644087855999280 659423281142120 692394445199226 744510156128200 786811869544575 791307937370544 805109819999100 824279101427650 839265994180880 893412187353840 899213565193800 923192593598968 989134921713180 1049082492726100 1073479759998800 1116765234192300 1153990741998710 1236418652141475 1258898991271320 1318846562284240 1384788890398452 1489020312256400 1573623739089150 1610219639998200 1648558202855300 1730986112998065 1798427130387600 1846385187197936 1978269843426360 2098164985452200 2233530468384600 2307981483997420 2472837304282950 2517797982542640 2769577780796904 2884976854996775 3147247478178300 3220439279996400 3297116405710600 3461972225996130 3956539686852720 4196329970904400 4467060936769200 4615962967994840 4945674608565900 5539155561593808 5769953709993550 6294494956356600 6594232811421200 6923944451992260 8654930564990325 9231925935989680 9891349217131800 11539907419987100 12588989912713200 13847888903984520 17309861129980650 19782698434263600 23079814839974200 27695777807969040 34619722259961300 46159629679948400 69239444519922600 138478889039845200
- Sum of all divisors σ(n): 584276854286450688
- Sum of proper divisors (its aliquot sum) s(n): 445797965246605488
- 138478889039845200 is an abundant number, because the sum of its proper divisors (445797965246605488) is greater than itself. Its abundance is 307319076206760288
Bases of 138478889039845200
- Binary: 1111010111111100111010000110111100001110001010111010100002
- Hexadecimal: 0x1EBF9D0DE1C5750
- Base-36: 11VIO3E3D26O
Squares and roots of 138478889039845200
- 138478889039845200 squared (1384788890398452002) is 19176402709709759057553239963040000
- 138478889039845200 cubed (1384788890398452003) is 2655526943021284547996587020032200619535321408000000
-
The
square root of 138478889039845200 is 372127517.1763641561 -
The
cube root of 138478889039845200 is 517361.9961259351
Scales and comparisons
How big is 138478889039845200?- 138,478,889,039,845,200 seconds is equal to 4,403,200,328 years, 7 weeks, 1 day, 15 hours, 40 minutes.
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To count from 1 to 138,478,889,039,845,200 would take you about thirteen billion, two hundred nine million, six hundred thousand, nine hundred eighty-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 138478889039845200 cubic inches would be around 43113.5 feet tall.
Recreational maths with 138478889039845200
- 138478889039845200 backwards is 002548930988874831
- The number of decimal digits it has is: 18
- The sum of 138478889039845200's digits is 87
- More coming soon!
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The information we have on file for 138478889039845200 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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