138480319292626350
138,480,319,292,626,350 is an even composite number composed of six prime numbers multiplied together.
138480319292626350 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138480319292626350:
2 × 32 × 52 × 133 × 193 × 45192
(2 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 19 × 19 × 19 × 4519 × 4519)See below for interesting mathematical facts about the number 138480319292626350 from the Numbermatics database.
Names of 138480319292626350
- Cardinal: 138480319292626350 can be written as One hundred thirty-eight quadrillion, four hundred eighty trillion, three hundred nineteen billion, two hundred ninety-two million, six hundred twenty-six thousand, three hundred fifty.
Scientific notation
- Scientific notation: 1.3848031929262635 × 1017
Factors of 138480319292626350
Divisors of 138480319292626350
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 5 6 9 10 13 15 18 19 25 26 30 38 39 45 50 57 65 75 78 90 95 114 117 130 150 169 171 190 195 225 234 247 285 325 338 342 361 390 450 475 494 507 570 585 650 722 741 845 855 950 975 1014 1083 1170 1235 1425 1482 1521 1690 1710 1805 1950 2166 2197 2223 2470 2535 2850 2925 3042 3211 3249 3610 3705 4225 4275 4394 4446 4519 4693 5070 5415 5850 6175 6422 6498 6591 6859 7410 7605 8450 8550 9025 9038 9386 9633 10830 10985 11115 12350 12675 13182 13557 13718 14079 15210 16055 16245 18050 18525 19266 19773 20577 21970 22230 22595 23465 25350 27075 27114 28158 28899 32110 32490 32955 34295 37050 38025 39546 40671 41154 41743 42237 45190 46930 48165 54150 54925 55575 57798 58747 61009 61731 65910 67785 68590 70395 76050 80275 81225 81342 83486 84474 85861 89167 96330 98865 102885 109850 111150 112975 117325 117494 122018 123462 125229 135570 140790 144495 160550 162450 164775 171475 171722 176241 178334 183027 197730 203355 205770 208715 211185 225950 234650 240825 250458 257583 267501 288990 293735 305045 308655 329550 338925 342950 351975 352482 366054 375687 406710 417430 422370 429305 445835 481650 494325 514425 515166 528723 535002 549081 587470 610090 617310 626145 677850 703950 722475 751374 763711 772749 793117 802503 858610 881205 891670 915135 988650 1016775 1028850 1043575 1055925 1057446 1098162 1116193 1159171 1252290 1287915 1337505 1444950 1468675 1525225 1527422 1543275 1545498 1586234 1605006 1631359 1762410 1830270 1878435 2033550 2087150 2111850 2146525 2229175 2232386 2291133 2318342 2379351 2575830 2643615 2675010 2745405 2937350 3050450 3086550 3130725 3262718 3348579 3477513 3756870 3818555 3863745 3965585 4012515 4293050 4406025 4458350 4575675 4582266 4758702 4894077 5287230 5490810 5580965 5795855 6261450 6439575 6687525 6697158 6873399 6955026 7138053 7637110 7727490 7931170 8025030 8156795 8812050 9151350 9392175 9788154 9928243 10045737 10432539 11161930 11455665 11591710 11896755 12879150 13218075 13375050 13727025 13746798 14276106 14510509 14682231 15069223 16313590 16742895 17387565 18784350 19092775 19318725 19827925 19856486 20062575 20091474 20421361 20865078 21207667 22911330 23793510 24470385 26436150 27454050 27904825 28979275 29021018 29364462 29784729 30138446 30995821 33485790 34366995 34775130 35690265 38185550 38637450 39655850 40125150 40783975 40842722 42415334 43531527 45207669 48940770 49641215 50228685 52162695 55809650 57278325 57958550 59483775 59569458 61264083 61991642 63623001 68733990 71380530 72552545 73411155 75346115 81567950 83714475 86937825 87063054 89354187 90415338 92987463 99282430 100457370 102106805 104325390 106038335 114556650 118967550 122351925 122528166 127246002 130594581 135623007 145105090 146822310 148923645 150692230 154979105 167428950 171834975 173875650 178451325 178708374 183792249 185974926 188636617 190869003 204213610 212076670 217657635 226038345 244703850 248206075 251143425 260813475 261189162 265477693 271246014 275699671 278962389 297847290 306320415 309958210 318115005 343669950 356902650 362762725 367055775 367584498 376730575 377273234 381738006 388005859 402945673 435315270 446770935 452076690 464937315 496412150 502286850 510534025 521626950 530191675 530955386 551399342 557924778 565909851 612640830 636230010 652972905 678115035 725525450 734111550 744618225 753461150 774895525 776011718 796433079 805891346 827099013 893541870 918961245 929874630 943183085 954345015 1021068050 1060383350 1088288175 1130191725 1131819702 1164017577 1208837019 1305945810 1327388465 1356230070 1378498355 1394811945 1489236450 1531602075 1549791050 1590575025 1592866158 1654198026 1697729553 1837922490 1886366170 1908690030 1940029295 2014728365 2176576350 2233854675 2260383450 2324686575 2328035154 2389299237 2417674038 2481297039 2654776930 2756996710 2789623890 2829549255 3063204150 3181150050 3264864525 3390575175 3395459106 3451210009 3492052731 3584095723 3626511057 3880058590 3982165395 4029456730 4135495065 4467709350 4594806225 4649373150 4715915425 4771725075 4778598474 4962594078 5044076167 5238293749 5659098510 5820087885 6044185095 6529729050 6636942325 6781150350 6892491775 6902420018 6974059725 6984105462 7168191446 7253022114 7372111321 7964330790 8270990130 8488647765 9189612450 9431830850 9543450150 9700146475 10073641825 10088152334 10353630027 10476587498 10752287169 11640175770 11946496185 12088370190 12406485195 13273884650 13784983550 13948119450 14147746275 14744222642 15132228501 15714881247 16977295530 17256050045 17460263655 17920478615 18132555285 19400292950 19910826975 20147283650 20677475325 20707260054 21504574338 22116333963 23892992370 24812970390 25220380835 26191468745 28295492550 29100439425 30220925475 30264457002 31060890081 31429762494 32256861507 34512100090 34920527310 35840957230 36265110570 36860556605 39821653950 41354950650 42443238825 44232667926 44865730117 45396685503 47144643741 50440761670 51768150135 52382937490 53761435845 58200878850 59732480925 60441850950 62032425975 62121780162 64513723014 65572990171 66349001889 68097818737 73721113210 75661142505 78574406235 84886477650 86280250225 87301318275 89602393075 89731460234 90662776425 90793371006 94289287482 95837447173 103536300270 107522871690 110581669815 119464961850 124064851950 126101904175 130957343725 131145980342 132698003778 134597190351 136195637474 140070115099 151322285010 155304450405 157148812470 161284307535 172560500450 174602636550 179204786150 181325552850 184302783025 191674894346 196718970513 204293456211 221163339630 224328650585 226983427515 235723218705 252203808350 258840750675 261914687450 268807179225 269194380702 280140230198 287512341519 310608900810 322568615070 327864950855 331745009445 340489093685 368605566050 378305712525 392872031175 393437941026 403791571053 408586912422 420210345297 448657301170 453966855030 471446437410 479187235865 517681501350 537614358450 552908349075 575024683038 590156911539 612880368633 655729901710 663490018890 672985951755 680978187370 700350575495 756611425050 776522252025 785744062350 806421537675 807583142106 840420690594 852448872223 862537024557 958374471730 983594852565 1021467281055 1105816698150 1121643252925 1134917137575 1178616093525 1180313823078 1225760737266 1245886813249 1260631035891 1345971903510 1400701150990 1437561707595 1553044504050 1612843075350 1639324754275 1658725047225 1702445468425 1704897744446 1725074049114 1820911496287 1967189705130 2018957855265 2042934562110 2101051726485 2243286505850 2269834275150 2357232187050 2395936179325 2491773626498 2521262071782 2557346616669 2875123415190 2950784557695 3064401843165 3278649508550 3317450094450 3364929758775 3404890936850 3501752877475 3641822992574 3737660439747 4037915710530 4202103452970 4262244361115 4312685122785 4791872358650 4917974262825 5107336405275 5114693233338 5462734488861 5901569115390 6128803686330 6229434066245 6303155179455 6729859517550 7003505754950 7187808537975 7475320879494 7672039850007 8524488722230 8625370245570 9104557481435 9835948525650 10094789276325 10214672810550 10505258632425 10925468977722 11212981319241 12458868132490 12606310358910 12786733083345 14375617075950 14753922788475 15322009215825 15344079700014 16196528572237 16388203466583 18209114962870 18688302198735 20189578552650 21010517264850 21311221805575 21563425613925 22425962638482 23671849451731 25573466166690 27313672444305 29507845576950 30644018431650 31147170331225 31515775897275 32393057144474 32776406933166 37376604397470 38360199250035 42622443611150 43126851227850 45522787407175 47343698903462 48589585716711 54627344888610 56064906596205 62294340662450 63031551794550 63933665416725 71015548355193 76720398500070 80982642861185 81941017332915 91045574814350 93441510993675 97179171433422 112129813192410 118359247258655 127867330833450 136568362221525 142031096710386 145768757150133 161965285722370 163882034665830 186883021987350 191800996250175 213046645065579 236718494517310 242947928583555 273136724443050 280324532981025 291537514300266 307734042872503 355077741775965 383601992500350 404913214305925 409705086664575 426093290131158 485895857167110 560649065962050 591796236293275 615468085745006 710155483551930 728843785750665 809826428611850 819410173329150 923202128617509 1065233225327895 1183592472586550 1214739642917775 1457687571501330 1538670214362515 1775388708879825 1846404257235018 2130466450655790 2429479285835550 2769606385852527 3077340428725030 3550777417759650 3644218928753325 4616010643087545 5326166126639475 5539212771705054 7288437857506650 7693351071812575 9232021286175090 10652332253278950 13848031929262635 15386702143625150 23080053215437725 27696063858525270 46160106430875450 69240159646313175 138480319292626350
- Sum of all divisors σ(n): 425522590790824800
- Sum of proper divisors (its aliquot sum) s(n): 287042271498198450
- 138480319292626350 is an abundant number, because the sum of its proper divisors (287042271498198450) is greater than itself. Its abundance is 148561952205572100
Bases of 138480319292626350
- Binary: 1111010111111101100011101110111111101000111010101101011102
- Hexadecimal: 0x1EBFB1DDFD1D5AE
- Base-36: 11VJ6CFUXV3I
Squares and roots of 138480319292626350
- 138480319292626350 squared (1384803192926263502) is 19176798831387741677241480714322500
- 138480319292626350 cubed (1384803192926263503) is 2655609225181038326867255571105780238905085897875000
-
The
square root of 138480319292626350 is 372129438.8954283605 -
The
cube root of 138480319292626350 is 517363.7772780211
Scales and comparisons
How big is 138480319292626350?- 138,480,319,292,626,350 seconds is equal to 4,403,245,805 years, 39 weeks, 1 day, 6 hours, 52 minutes, 30 seconds.
-
To count from 1 to 138,480,319,292,626,350 would take you about thirteen billion, two hundred nine million, seven hundred thirty-seven thousand, four hundred seventeen 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 138480319292626350 cubic inches would be around 43113.6 feet tall.
Recreational maths with 138480319292626350
- 138480319292626350 backwards is 053626292913084831
- The number of decimal digits it has is: 18
- The sum of 138480319292626350's digits is 72
- More coming soon!
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"Number 138480319292626350 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 138480319292626350 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138480319292626350/
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The information we have on file for 138480319292626350 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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