138384509865976608
138,384,509,865,976,608 is an even composite number composed of five prime numbers multiplied together.
What does the number 138384509865976608 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
138384509865976608 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138384509865976608:
25 × 3 × 135 × 194 × 313
(2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 13 × 13 × 13 × 19 × 19 × 19 × 19 × 31 × 31 × 31)See below for interesting mathematical facts about the number 138384509865976608 from the Numbermatics database.
Names of 138384509865976608
- Cardinal: 138384509865976608 can be written as One hundred thirty-eight quadrillion, three hundred eighty-four trillion, five hundred nine billion, eight hundred sixty-five million, nine hundred seventy-six thousand, six hundred eight.
Scientific notation
- Scientific notation: 1.38384509865976608 × 1017
Factors of 138384509865976608
Divisors of 138384509865976608
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 31 32 38 39 48 52 57 62 76 78 93 96 104 114 124 152 156 169 186 208 228 247 248 304 312 338 361 372 403 416 456 494 496 507 589 608 624 676 722 741 744 806 912 961 988 992 1014 1083 1178 1209 1248 1352 1444 1482 1488 1612 1767 1824 1922 1976 2028 2166 2197 2356 2418 2704 2883 2888 2964 2976 3211 3224 3534 3844 3952 4056 4332 4394 4693 4712 4836 5239 5408 5766 5776 5928 6422 6448 6591 6859 7068 7657 7688 7904 8112 8664 8788 9386 9424 9633 9672 10478 11191 11532 11552 11856 12493 12844 12896 13182 13718 14079 14136 15314 15376 15717 16224 17328 17576 18259 18772 18848 19266 19344 20577 20956 22382 22971 23064 23712 24986 25688 26364 27436 28158 28272 28561 29791 30628 30752 31434 33573 34656 35152 36518 37479 37544 38532 38688 41154 41743 41912 44764 45942 46128 49972 51376 52728 54777 54872 56316 56544 57122 59582 61009 61256 62868 67146 68107 70304 73036 74958 75088 77064 82308 83486 83824 85683 89167 89373 89528 91884 92256 99541 99944 102752 105456 109554 109744 112632 114244 119164 122018 122512 125229 125736 130321 134292 136214 145483 146072 149916 150176 154128 162409 164616 166972 167648 171366 178334 178746 179056 183027 183768 199082 199888 204321 210912 212629 219108 219488 225264 228488 237367 238328 244036 245024 250458 251472 260642 267501 268584 272428 290966 292144 298623 299832 308256 324818 329232 333944 342732 346921 356668 357492 358112 366054 367536 371293 387283 390963 398164 399776 408642 425258 436449 438216 450528 456976 474734 476656 487227 488072 500916 502944 521284 535002 537168 542659 544856 566029 581932 584288 597246 599664 637887 649636 658464 667888 685464 693842 712101 713336 714984 732108 735072 742586 774566 781926 793117 796328 817284 850516 872898 876432 885391 913952 949468 953312 974454 976144 1001832 1040763 1042568 1070004 1074336 1085318 1089712 1113879 1132058 1159171 1161849 1163864 1194492 1199328 1275774 1294033 1299272 1335776 1370928 1387684 1424202 1426672 1429968 1464216 1485172 1549132 1563852 1586234 1592656 1627977 1634568 1694173 1698087 1701032 1745796 1752864 1770782 1891279 1898936 1948908 1952288 2003664 2081526 2085136 2111317 2140008 2170636 2179424 2227758 2264116 2318342 2323698 2327728 2379351 2388984 2551548 2588066 2598544 2656173 2741856 2764177 2775368 2848404 2853344 2859936 2928432 2970344 3085771 3098264 3127704 3172468 3185312 3255954 3269136 3388346 3396174 3402064 3477513 3491592 3541564 3782558 3797872 3882099 3897816 4007328 4039951 4163052 4170272 4222634 4280016 4341272 4455516 4509973 4528232 4636684 4647396 4655456 4758702 4777968 5034679 5082519 5103096 5176132 5197088 5312346 5528354 5550736 5673837 5696808 5856864 5940688 6171542 6196528 6255408 6333951 6344936 6511908 6538272 6591499 6776692 6792348 6804128 6955026 6983184 7054567 7083128 7358377 7565116 7595744 7764198 7795632 8079902 8292531 8326104 8445268 8560032 8682544 8911032 9019946 9056464 9257313 9273368 9294792 9517404 9555936 10069358 10165038 10206192 10310521 10352264 10624692 10754551 11056708 11101472 11347674 11393616 11510083 11881376 12119853 12343084 12393056 12510816 12667902 12689872 13023816 13182998 13529919 13553384 13584696 13910052 13966368 14109134 14166256 14716754 15069223 15104037 15130232 15528396 15591264 16159804 16585062 16652208 16822429 16890536 17365088 17822064 18039892 18112928 18514626 18546736 18589584 19034808 19774497 20138716 20330076 20412384 20621042 20704528 21163701 21249384 21509102 22024249 22075131 22113416 22695348 22787232 23020166 24239706 24586627 24686168 25335804 25379744 26047632 26365996 27059838 27106768 27169392 27447121 27820104 28218268 28332512 29433508 30138446 30208074 30260464 30931563 31056792 32263653 32319608 33170124 33304416 33644858 33781072 34530249 35644128 35934301 36079784 37029252 37093472 37179168 38069616 39548994 40115023 40277432 40660152 41242084 41409056 42327402 42498768 43018204 44048498 44150262 44226832 45207669 45390696 46040332 48479412 49173254 49372336 50467287 50671608 52095264 52519363 52731992 54119676 54213536 54338784 54894242 55640208 56436536 58629649 58867016 60276892 60416148 60520928 61863126 62113584 64527306 64639216 65450827 66072747 66340248 67289716 67562144 69060498 71868602 72159568 73759881 74058504 76139232 79097988 80230046 80554864 81320304 82341363 82484168 84654804 84997536 85689487 86036408 88096996 88300524 88453664 90415338 90781392 92080664 95658901 96958824 98346508 98744672 100934574 101343216 105038726 105463984 107802903 108239352 109788484 111280416 112873072 117259298 117734032 120345069 120553784 120832296 123726252 124227168 125238481 129054612 129278432 130901654 132145494 132680496 134036773 134579432 138120996 139809163 143737204 144319136 147519762 148117008 157558089 158195976 160460092 161109728 162640608 164682726 164968336 169309608 171378974 172072816 175888947 176193992 176601048 180830676 181562784 184161328 191317802 193917648 195899899 196352481 196693016 201869148 202686432 204336469 210077452 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2854500584 3005723544 3048741748 3061084832 3128971794 3134398384 3141639696 3216882552 3256200506 3269383504 3341889993 3355419912 3403443004 3435782844 3449692896 3499065232 3635038238 3722098081 3730697139 3737167304 3835513812 3851042208 3882392911 4007631392 4096510314 4113095376 4155139963 4171962392 4281750876 4289176736 4455853324 4473893216 4573112622 4581043792 4591627248 4701597576 4884300759 4904075256 4974262852 5041858848 5093397374 5105164506 5114018416 5248597848 5312748194 5452557357 5462013752 5605750956 5628446304 5709001168 6011447088 6072896869 6097483496 6257943588 6268796768 6283279392 6433765104 6512401012 6538767008 6683779986 6710839824 6779438887 6806886008 6871565688 6998130464 7270076476 7444196162 7461394278 7474334608 7640096061 7671027624 7764785822 7969122291 8193020628 8226190752 8310279926 8343924784 8563501752 8875772347 8911706648 9146225244 9162087584 9183254496 9403195152 9768601518 9808150512 9908410681 9948525704 10186794748 10210329012 10228036832 10497195696 10625496388 10905114714 10924027504 11061189763 11166294243 11211501912 11418002336 11647178733 12022894176 12145793738 12194966992 12465419889 12515887176 12867530208 13024802024 13367559972 13421679648 13558877774 13613772016 13743131376 14481523303 14540152952 14888392324 14922788556 14948669216 15280192122 15342055248 15529571644 15938244582 16166354269 16386041256 16620559852 16687849568 17127003504 17751544694 17823413296 18218690607 18292450488 18806390304 19537203036 19616301024 19816821362 19897051408 20338316661 20373589496 20420658024 20994391392 21165303289 21250992776 21810229428 21848055008 22122379526 22332588486 22423003824 23294357466 23627748547 24291587476 24389933984 24930839778 25031774352 26049604048 26627317041 26735119944 27117755548 27227544032 27486262752 28963046606 29080305904 29725232043 29776784648 29845577112 30560384244 30684110496 31059143288 31876489164 32332708538 32772082512 33183569289 33241119704 34254007008 34532863261 35503089388 35646826592 36437381214 36584900976 39074406072 39633642724 39794102816 40676633322 40747178992 40841316048 42330606578 42501985552 43444569909 43620458856 44244759052 44665176972 44846007648 46588714932 47255497094 48387275053 48499062807 48583174952 49861679556 50063548704 50471107843 52099208096 53254634082 53470239888 54235511096 57926093212 58160611808 59450464086 59553569296 59691154224 61120768488 62118286576 63495909867 63752978328 64665417076 65544165024 66367138578 66482239408 69065726522 70883245641 71006178776 72874762428 73169801952 78148812144 78947659297 79267285448 81353266644 81494357984 81682632096 84661213156 85003971104 86889139818 87240917712 88489518104 89330353944 93177429864 94510994188 96774550106 96998125614 97166349904 99723359112 100942215686 103598589783 106509268164 106940479776 108471022192 115385040511 115852186424 118900928172 119107138592 119382308448 122241536976 124236573152 126991819734 127505956656 128809338853 129330834152 132734277156 132964478816 138131453044 141766491282 142012357552 145161825159 145749524856 151413323529 156297624288 157895318594 158534570896 162706533288 169322426312 173778279636 174481835424 176979036208 178660707888 186354859728 188259802939 189021988376 193549100212 193996251228 194332699808 199446718224 201884431372 207197179566 210162605497 213018536328 216942044384 230770081022 231704372848 236842977891 237801856344 244483073952 253983639468 255011913312 257618677706 258661668304 265468554312 275148942757 276262906088 283532982564 284024715104 290323650318 291499049712 302826647058 307160731111 315790637188 317069141792 325413066576 338644852624 346155121533 347556559272 353958072416 357321415776 372709719456 376519605878 378043976752 386428016559 387098200424 387992502456 398893436448 403768862744 414394359132 420325210994 426037072656 448927222393 461540162044 463408745696 473685955782 475603712688 507967278936 515237355412 517323336608 530937108624 550297885514 552525812176 564779408817 567065965128 580647300636 582998099424 605653294116 614321462222 630487816491 631581274376 650826133152 656124401959 677289705248 692310243066 695113118544 753039211756 756087953504 772856033118 774196400848 775985004912 807537725488 825446828271 828788718264 840650421988 852074145312 897854444786 921482193333 923080324088 947371911564 951207425376 1015934557872 1030474710824 1061874217248 1100595771028 1105051624352 1129558817634 1134131930256 1161294601272 1211306588232 1228642924444 1260975632982 1263162548752 1312248803918 1346781667179 1384620486132 1390226237088 1500005526643 1506078423512 1545712066236 1548392801696 1551970009824 1615075450976 1650893656542 1657577436528 1681300843976 1795708889572 1842964386666 1846160648176 1894743823128 1968373205877 2031869115744 2060949421648 2201191542056 2259117635268 2268263860512 2322589202544 2422613176464 2447377438207 2457285848888 2521951265964 2526325097504 2624497607836 2693563334358 2769240972264 3000011053286 3012156847024 3091424132472 3301787313084 3315154873056 3362601687952 3576936255841 3591417779144 3685928773332 3692321296352 3789487646256 3936746411754 3993089504443 4121898843296 4402383084112 4500016579929 4518235270536 4645178405088 4845226352928 4894754876414 4914571697776 5043902531928 5248995215672 5387126668716 5538481944528 5836053891109 6000022106572 6024313694048 6182848264944 6603574626168 6725203375904 7153872511682 7182835558288 7342132314621 7371857546664 7578975292512 7873492823508 7986179008886 8529617225467 8804766168224 9000033159858 9036470541072 9789509752828 9829143395552 10087805063856 10497990431344 10730808767523 10774253337432 11076963889056 11672107782218 11979268513329 12000044213144 12365696529888 13207149252336 14307745023364 14365671116576 14684264629242 14743715093328 15746985647016 15972358017772 17059234450934 17508161673327 18000066319716 18072941082144 19579019505656 20175610127712 20995980862688 21461617535046 21548506674864 23344215564436 23958537026658 24000088426288 25588851676401 26414298504672 28615490046728 29368529258484 29487430186656 31493971294032 31944716035544 34118468901868 35016323346654 36000132639432 39158039011312 42923235070092 43097013349728 46500171325933 46688431128872 47917074053316 48000176852576 51177703352802 57230980093456 58737058516968 62987942588064 63889432071088 68236937803736 70032646693308 72000265278864 75868700584417 78316078022624 85846470140184 93000342651866 93376862257744 95834148106632 102355406705604 110885023931071 114461960186912 117474117033936 127778864142176 136473875607472 139500513977799 140065293386616 144000530557728 151737401168834 171692940280368 186000685303732 186753724515488 191668296213264 204710813411208 221770047862142 227606101753251 234948234067872 272947751214944 279001027955598 280130586773232 303474802337668 332655071793213 343385880560736 372001370607464 383336592426528 409421626822416 443540095724284 455212203506502 558002055911196 560261173546464 606949604675336 665310143586426 744002741214928 818843253644832 887080191448568 910424407013004 1116004111822392 1213899209350672 1330620287172852 1441505311103923 1488005482429856 1774160382897136 1820848814026008 2232008223644784 2427798418701344 2661240574345704 2883010622207846 3548320765794272 3641697628052016 4324515933311769 4464016447289568 5322481148691408 5766021244415692 7283395256104032 8649031866623538 10644962297382816 11532042488831384 17298063733247076 23064084977662768 34596127466494152 46128169955325536 69192254932988304 138384509865976608
- Sum of all divisors σ(n): 429239512764421632
- Sum of proper divisors (its aliquot sum) s(n): 290855002898445024
- 138384509865976608 is an abundant number, because the sum of its proper divisors (290855002898445024) is greater than itself. Its abundance is 152470493032468416
Bases of 138384509865976608
- Binary: 1111010111010001111111010100000001111101001100011001000002
- Hexadecimal: 0x1EBA3FA80FA6320
- Base-36: 11UL7Q741F6O
Squares and roots of 138384509865976608
- 138384509865976608 squared (1383845098659766082) is 19150272570846577157046429603185664
- 138384509865976608 cubed (1383845098659766083) is 2650101083516459377385644625709263354756483304947712
-
The
square root of 138384509865976608 is 372000685.3031007629 -
The
cube root of 138384509865976608 is 517244.4347774195
Scales and comparisons
How big is 138384509865976608?- 138,384,509,865,976,608 seconds is equal to 4,400,199,362 years, 17 weeks, 6 days, 5 hours, 56 minutes, 48 seconds.
-
To count from 1 to 138,384,509,865,976,608 would take you about thirteen billion, two hundred million, five hundred ninety-eight thousand and eighty-seven 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 138384509865976608 cubic inches would be around 43103.7 feet tall.
Recreational maths with 138384509865976608
- 138384509865976608 backwards is 806679568905483831
- 138384509865976608 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138384509865976608's digits is 96
- More coming soon!
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"Number 138384509865976608 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 138384509865976608 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138384509865976608/
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The information we have on file for 138384509865976608 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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