138027661439013970560
138,027,661,439,013,970,560 is an even composite number composed of five prime numbers multiplied together.
What does the number 138027661439013970560 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1200 divisors.
138027661439013970560 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 138027661439013970560:
27 × 34 × 5 × 1994 × 13032
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 199 × 199 × 199 × 199 × 1303 × 1303)See below for interesting mathematical facts about the number 138027661439013970560 from the Numbermatics database.
Names of 138027661439013970560
- Cardinal: 138027661439013970560 can be written as One hundred thirty-eight quintillion, twenty-seven quadrillion, six hundred sixty-one trillion, four hundred thirty-nine billion, thirteen million, nine hundred seventy thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.3802766143901397056 × 1020
Factors of 138027661439013970560
Divisors of 138027661439013970560
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 199 216 240 270 288 320 324 360 384 398 405 432 480 540 576 597 640 648 720 796 810 864 960 995 1080 1152 1194 1296 1303 1440 1592 1620 1728 1791 1920 1990 2160 2388 2592 2606 2880 2985 3184 3240 3456 3582 3909 3980 4320 4776 5184 5212 5373 5760 5970 6368 6480 6515 7164 7818 7960 8640 8955 9552 10368 10424 10746 11727 11940 12736 12960 13030 14328 15636 15920 16119 17280 17910 19104 19545 20848 21492 23454 23880 25472 25920 26060 26865 28656 31272 31840 32238 35181 35820 38208 39090 39601 41696 42984 46908 47760 51840 52120 53730 57312 58635 62544 63680 64476 70362 71640 76416 78180 79202 80595 83392 85968 93816 95520 104240 105543 107460 114624 117270 118803 125088 127360 128952 140724 143280 156360 158404 161190 166784 171936 175905 187632 191040 198005 208480 211086 214920 229248 234540 237606 250176 257904 259297 281448 286560 312720 316808 322380 343872 351810 356409 375264 382080 396010 416960 422172 429840 469080 475212 500352 515808 518594 527715 562896 573120 594015 625440 633616 644760 687744 703620 712818 750528 777891 792020 833920 844344 859680 938160 950424 1031616 1037188 1055430 1069227 1125792 1146240 1188030 1250880 1267232 1289520 1296485 1407240 1425636 1501056 1555782 1584040 1688688 1697809 1719360 1782045 1876320 1900848 2063232 2074376 2110860 2138454 2251584 2333673 2376060 2501760 2534464 2579040 2592970 2814480 2851272 3111564 3168080 3207681 3377376 3395618 3438720 3564090 3752640 3801696 3889455 4148752 4221720 4276908 4503168 4667346 4752120 5068928 5093427 5158080 5185940 5346135 5628960 5702544 6223128 6336160 6415362 6754752 6791236 7001019 7128180 7505280 7603392 7778910 7880599 8297504 8443440 8489045 8553816 9334692 9504240 10186854 10316160 10371880 10692270 11257920 11405088 11668365 12446256 12672320 12830724 13509504 13582472 14002038 14256360 15206784 15280281 15557820 15761198 16038405 16595008 16886880 16978090 17107632 18669384 19008480 20373708 20743760 21003057 21384540 22515840 22810176 23336730 23641797 24892512 25344640 25467135 25661448 27164944 28004076 28512720 30560562 31115640 31522396 32076810 33190016 33773760 33956180 34215264 35005095 37338768 38016960 39402995 40747416 41487520 42006114 42769080 45620352 45840843 46673460 47283594 49785024 50934270 51322896 51600103 54329888 56008152 57025440 61121124 62231280 63044792 64153620 67547520 67912360 68430528 70010190 70925391 74677536 76033920 76401405 78805990 81494832 82975040 84012228 85538160 91681686 93346920 94567188 99570048 101868540 102645792 103200206 105015285 108659776 112016304 114050880 118208985 122242248 124462560 126089584 128307240 135824720 136861056 137522529 140020380 141850782 149355072 152802810 154800309 157611980 162989664 165950080 168024456 171076320 183363372 186693840 189134376 203737080 205291584 206400412 210030570 212776173 217319552 224032608 228101760 229204215 236417970 244484496 248925120 252179168 256614480 258000515 271649440 275045058 280040760 283701564 298710144 305605620 309600618 315223960 325979328 336048912 337863991 342152640 354626955 366726744 373387680 378268752 407474160 410583168 412800824 420061140 425552346 448065216 458408430 464400927 472835940 488968992 497850240 504358336 513228960 516001030 543298880 550090116 560081520 567403128 611211240 619201236 630447920 638328519 651958656 672097824 675727982 684305280 687612645 709253910 733453488 746775360 756537504 774001545 814948320 825601648 840122280 851104692 896130432 916816860 928801854 945671880 977937984 1008716672 1013591973 1026457920 1032002060 1063880865 1086597760 1100180232 1120163040 1134806256 1222422480 1238402472 1260895840 1276657038 1344195648 1351455964 1375225290 1393202781 1418507820 1466906976 1493550720 1513075008 1548003090 1568239201 1629896640 1651203296 1680244560 1689319955 1702209384 1833633720 1857603708 1891343760 1955875968 2027183946 2052915840 2064004120 2127761730 2200360464 2240326080 2269612512 2322004635 2444844960 2476804944 2521791680 2553314076 2688391296 2702911928 2750450580 2786405562 2837015640 2933813952 3026150016 3040775919 3096006180 3136478402 3191642595 3259793280 3302406592 3360489120 3378639910 3404418768 3667267440 3715207416 3782687520 4054367892 4128008240 4179608343 4255523460 4400720928 4480652160 4539225024 4644009270 4704717603 4889689920 4953609888 5043583360 5067959865 5106628152 5405823856 5500901160 5572811124 5674031280 5867627904 6081551838 6192012360 6272956804 6383285190 6604813184 6720978240 6757279820 6808837536 6966013905 7334534880 7430414832 7565375040 7841196005 8108735784 8256016480 8359216686 8511046920 8801441856 9078450048 9122327757 9288018540 9409435206 9779379840 9907219776 10135919730 10213256304 10268420497 10811647712 11001802320 11145622248 11348062560 12163103676 12384024720 12545913608 12766570380 13441956480 13514559640 13617675072 13932027810 14114152809 14669069760 14860829664 15130750080 15203879595 15682392010 16217471568 16512032960 16718433372 17022093840 17602883712 18244655514 18576037080 18818870412 19814439552 20271839460 20426512608 20536840994 20898041715 21623295424 22003604640 22291244496 22696125120 23523588015 24326207352 24768049440 25091827216 25533140760 27029119280 27235350144 27366983271 27864055620 28228305618 29338139520 29721659328 30407759190 30805261491 31364784020 32434943136 33024065920 33436866744 34044187680 36489311028 37152074160 37637740824 40543678920 40853025216 41073681988 41796083430 42342458427 43246590848 44007209280 44582488992 45392250240 45611638785 47047176030 48652414704 49536098880 50183654432 51066281520 51342102485 54058238560 54733966542 55728111240 56456611236 59443318656 60815518380 61610522982 62729568040 64869886272 66873733488 67234934209 68088375360 70570764045 72978622056 74304148320 75275481648 81087357840 81706050432 82147363976 83592166860 84684916854 88014418560 89164977984 91223277570 92415784473 94094352060 97304829408 99072197760 100367308864 102132563040 102684204970 108116477120 109467933084 111456222480 112913222472 121631036760 123221045964 125459136080 127027375281 129739772544 133747466976 134469868418 136176750720 136834916355 141141528090 145957244112 148608296640 150550963296 154026307455 162174715680 164294727952 167184333720 169369833708 178329955968 182446555140 184831568946 188188704120 194609658816 200734617728 201704802627 204265126080 205368409940 211712292135 216232954240 218935866168 222912444960 225826444944 243262073520 246442091928 250918272160 254054750562 267494933952 268939736836 273669832710 277247353419 282283056180 291914488224 297216593280 301101926592 308052614910 324349431360 328589455904 334368667440 336174671045 338739667416 364893110280 369663137892 376377408240 389219317632 403409605254 408530252160 410736819880 423424584270 437871732336 445824889920 451652889888 462078922365 486524147040 492884183856 501836544320 508109501124 534989867904 537879473672 547339665420 554494706838 564566112360 583828976448 602203853184 605114407881 616105229820 635136876405 648698862720 657178911808 668737334880 672349342090 677479334832 729786220560 739326275784 752754816480 806819210508 821473639760 831742060257 846849168540 875743464672 891649779840 903305779776 924157844730 973048294080 985768367712 1003673088640 1008524013135 1016219002248 1075758947344 1094679330840 1108989413676 1129132224720 1167657952896 1210228815762 1232210459640 1270273752810 1314357823616 1337474669760 1344698684180 1354958669664 1386236767095 1459572441120 1478652551568 1505509632960 1613638421016 1642947279520 1663484120514 1693698337080 1751486929344 1806611559552 1815343223643 1848315689460 1946096588160 1971536735424 2017048026270 2032438004496 2043415678903 2151517894688 2189358661680 2217978827352 2258264449440 2420457631524 2464420919280 2540547505620 2674949339520 2689397368360 2709917339328 2772473534190 2919144882240 2957305103136 3011019265920 3025572039405 3227276842032 3285894559040 3326968241028 3387396674160 3502973858688 3630686447286 3696631378920 3943073470848 4034096052540 4064876008992 4086831357806 4158710301285 4303035789376 4378717323360 4435957654704 4516528898880 4840915263048 4928841838560 5081095011240 5378794736720 5419834678656 5446029670929 5544947068380 5838289764480 5914610206272 6051144078810 6130247036709 6454553684064 6571789118080 6653936482056 6774793348320 7261372894572 7393262757840 8068192105080 8129752017984 8173662715612 8317420602570 8606071578752 8757434646720 8871915309408 9033057797760 9076716118215 9681830526096 9857683677120 10162190022480 10217078394515 10757589473440 10892059341858 11089894136760 11829220412544 12102288157620 12260494073418 12909107368128 13307872964112 13379751907591 13549586696640 14522745789144 14786525515680 16136384210160 16259504035968 16347325431224 16634841205140 17514869293440 17743830618816 18153432236430 18390741110127 19363661052192 19715367354240 20324380044960 20434156789030 21515178946880 21784118683716 22179788273520 24204576315240 24520988146836 25818214736256 26615745928224 26759503815182 27099173393280 27230148354645 29045491578288 29573051031360 30651235183545 32272768420320 32694650862448 33269682410280 35487661237632 36306864472860 36781482220254 38727322104384 40139255722773 40648760089920 40868313578060 43030357893760 43568237367432 44359576547040 48409152630480 49041976293672 53231491856448 53519007630364 54460296709290 55172223330381 58090983156576 59146102062720 61302470367090 64545536840640 65389301724896 66539364820560 66898759537955 72613728945720 73562964440508 77454644208768 80278511445546 81297520179840 81736627156120 87136474734864 88719153094080 91953705550635 96818305260960 98083952587344 106462983712896 107038015260728 108920593418580 110344446660762 116181966313152 120417767168319 122604940734180 129091073681280 130778603449792 133078729641120 133797519075910 145227457891440 147125928881016 160557022891092 163473254312240 165516669991143 174272949469728 177438306188160 183907411101270 193636610521920 196167905174688 200696278613865 214076030521456 217841186837160 220688893321524 232363932626304 240835534336638 245209881468360 261557206899584 266157459282240 267595038151820 275861116651905 290454915782880 294251857762032 321114045782184 326946508624480 331033339982286 348545898939456 361253301504957 367814822202540 387273221043840 392335810349376 401392557227730 428152061042912 435682373674320 441377786643048 481671068673276 490419762936720 532314918564480 535190076303640 551722233303810 580909831565760 588503715524064 602088835841595 642228091564368 653893017248960 662066679964572 697091797878912 722506603009914 735629644405080 784671620698752 802785114455460 827583349955715 856304122085824 871364747348640 882755573286096 963342137346552 980839525873440 1070380152607280 1083759904514871 1103444466607620 1161819663131520 1177007431048128 1204177671683190 1284456183128736 1307786034497920 1324133359929144 1445013206019828 1471259288810160 1605570228910920 1655166699911430 1712608244171648 1742729494697280 1765511146572192 1806266507524785 1926684274693104 1961679051746880 2140760305214560 2167519809029742 2206888933215240 2354014862096256 2408355343366380 2568912366257472 2648266719858288 2662570629610609 2890026412039656 2942518577620320 3211140457821840 3310333399822860 3485458989394560 3531022293144384 3612533015049570 3853368549386208 3923358103493760 4281520610429120 4335039618059484 4413777866430480 4816710686732760 5137824732514944 5296533439716576 5325141259221218 5418799522574355 5780052824079312 5885037155240640 6422280915643680 6620666799645720 7062044586288768 7225066030099140 7706737098772416 7987711888831827 8563041220858240 8670079236118968 8827555732860960 9633421373465520 10593066879433152 10650282518442436 10837599045148710 11560105648158624 11770074310481280 12844561831287360 13241333599291440 13312853148053045 14450132060198280 15413474197544832 15975423777663654 17340158472237936 17655111465721920 19266842746931040 21186133758866304 21300565036884872 21675198090297420 23120211296317248 23963135666495481 25689123662574720 26482667198582880 26625706296106090 28900264120396560 31950847555327308 34680316944475872 35310222931443840 38533685493862080 39938559444159135 42601130073769744 43350396180594840 46240422592634496 47926271332990962 52965334397165760 53251412592212180 57800528240793120 63901695110654616 69360633888951744 71889406999486443 77067370987724160 79877118888318270 85202260147539488 86700792361189680 95852542665981924 105930668794331520 106502825184424360 115601056481586240 119815678332477405 127803390221309232 138721267777903488 143778813998972886 159754237776636540 170404520295078976 173401584722379360 191705085331963848 213005650368848720 215668220998459329 231202112963172480 239631356664954810 255606780442618464 287557627997945772 319508475553273080 340809040590157952 346803169444758720 359447034997432215 383410170663927696 426011300737697440 431336441996918658 479262713329909620 511213560885236928 575115255995891544 639016951106546160 693606338889517440 718894069994864430 766820341327855392 852022601475394880 862672883993837316 958525426659819240 1022427121770473856 1078341104992296645 1150230511991783088 1278033902213092320 1437788139989728860 1533640682655710784 1704045202950789760 1725345767987674632 1917050853319638480 2156682209984593290 2300461023983566176 2556067804426184640 2875576279979457720 3067281365311421568 3450691535975349264 3834101706639276960 4313364419969186580 4600922047967132352 5112135608852369280 5751152559958915440 6901383071950698528 7668203413278553920 8626728839938373160 9201844095934264704 11502305119917830880 13802766143901397056 15336406826557107840 17253457679876746320 23004610239835661760 27605532287802794112 34506915359753492640 46009220479671323520 69013830719506985280 138027661439013970560
- Sum of all divisors σ(n): 495791704129631313690
- Sum of proper divisors (its aliquot sum) s(n): 357764042690617343130
- 138027661439013970560 is an abundant number, because the sum of its proper divisors (357764042690617343130) is greater than itself. Its abundance is 219736381251603372570
Bases of 138027661439013970560
- Binary: 11101111011100001001100001011000110111000100100111101100010100000002
- Hexadecimal: 0x77B84C2C6E24F6280
- Base-36: T4O3MG5CJAG00
Squares and roots of 138027661439013970560
- 138027661439013970560 squared (1380276614390139705602) is 19051635322323064198172586666856546713600
- 138027661439013970560 cubed (1380276614390139705603) is 2629652670129167706140796428651525334177853416267655151616000
-
The
square root of 138027661439013970560 is 11748517414.5086907029 -
The
cube root of 138027661439013970560 is 5167994.5061434513
Scales and comparisons
How big is 138027661439013970560?- 138,027,661,439,013,970,560 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,027,661,439,013,970,560 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138027661439013970560 cubic inches would be around 430666.2 feet tall.
Recreational maths with 138027661439013970560
- 138027661439013970560 backwards is 065079310934166720831
- 138027661439013970560 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138027661439013970560's digits is 81
- More coming soon!
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"Number 138027661439013970560 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
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The information we have on file for 138027661439013970560 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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