138993627954660864
138,993,627,954,660,864 is an even composite number composed of five prime numbers multiplied together.
138993627954660864 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixty divisors.
Prime factorization of 138993627954660864:
29 × 3 × 72 × 116 × 10212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 11 × 11 × 11 × 11 × 11 × 1021 × 1021)See below for interesting mathematical facts about the number 138993627954660864 from the Numbermatics database.
Names of 138993627954660864
- Cardinal: 138993627954660864 can be written as One hundred thirty-eight quadrillion, nine hundred ninety-three trillion, six hundred twenty-seven billion, nine hundred fifty-four million, six hundred sixty thousand, eight hundred sixty-four.
Scientific notation
- Scientific notation: 1.38993627954660864 × 1017
Factors of 138993627954660864
Divisors of 138993627954660864
- Number of divisors d(n): 1260
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 64 66 77 84 88 96 98 112 121 128 132 147 154 168 176 192 196 224 231 242 256 264 294 308 336 352 363 384 392 448 462 484 512 528 539 588 616 672 704 726 768 784 847 896 924 968 1021 1056 1078 1176 1232 1331 1344 1408 1452 1536 1568 1617 1694 1792 1848 1936 2042 2112 2156 2352 2464 2541 2662 2688 2816 2904 3063 3136 3234 3388 3584 3696 3872 3993 4084 4224 4312 4704 4928 5082 5324 5376 5632 5808 5929 6126 6272 6468 6776 7147 7392 7744 7986 8168 8448 8624 9317 9408 9856 10164 10648 10752 11231 11616 11858 12252 12544 12936 13552 14294 14641 14784 15488 15972 16336 16896 17248 17787 18634 18816 19712 20328 21296 21441 22462 23232 23716 24504 25088 25872 27104 27951 28588 29282 29568 30976 31944 32672 33693 34496 35574 37268 37632 39424 40656 42592 42882 43923 44924 46464 47432 49008 50029 51744 54208 55902 57176 58564 59136 61952 63888 65219 65344 67386 68992 71148 74536 75264 78617 81312 85184 85764 87846 89848 92928 94864 98016 100058 102487 103488 108416 111804 114352 117128 118272 123541 127776 130438 130688 134772 137984 142296 149072 150087 157234 161051 162624 170368 171528 175692 179696 185856 189728 195657 196032 200116 204974 206976 216832 223608 228704 234256 235851 247082 255552 260876 261376 269544 275968 284592 298144 300174 307461 314468 322102 325248 340736 343056 351384 359392 370623 379456 391314 392064 400232 409948 413952 433664 447216 457408 468512 471702 483153 494164 511104 521752 522752 539088 550319 569184 596288 600348 614922 628936 644204 650496 681472 686112 702768 717409 718784 741246 758912 782628 784128 800464 819896 827904 864787 894432 914816 937024 943404 966306 988328 1022208 1042441 1043504 1078176 1100638 1127357 1138368 1192576 1200696 1229844 1257872 1288408 1300992 1358951 1372224 1405536 1434818 1437568 1482492 1517824 1565256 1568256 1600928 1639792 1650957 1729574 1771561 1788864 1829632 1874048 1886808 1932612 1976656 2044416 2084882 2087008 2152227 2156352 2201276 2254714 2276736 2385152 2401392 2459688 2515744 2576816 2594361 2717902 2744448 2811072 2869636 2875136 2964984 3035648 3127323 3130512 3201856 3279584 3301914 3382071 3459148 3543122 3577728 3659264 3748096 3773616 3865224 3953312 4076853 4169764 4174016 4304454 4312704 4402552 4509428 4553472 4770304 4802784 4919376 5031488 5153632 5188722 5314683 5435804 5488896 5622144 5739272 5750272 5929968 6053509 6254646 6261024 6403712 6559168 6603828 6764142 6918296 7086244 7155456 7297087 7496192 7547232 7730448 7891499 7906624 8153706 8339528 8348032 8608908 8625408 8805104 9018856 9106944 9512657 9605568 9838752 10062976 10307264 10377444 10629366 10871608 10977792 11244288 11466851 11478544 11859936 12107018 12400927 12509292 12522048 12807424 13118336 13207656 13528284 13836592 14172488 14310912 14594174 14948461 15094464 15460896 15782998 15813248 16307412 16679056 16696064 17217816 17250816 17610208 18037712 18160527 19025314 19211136 19677504 20125952 20614528 20754888 21258732 21743216 21891261 22488576 22933702 22957088 23674497 23719872 24214036 24801854 25018584 25044096 25614848 26236672 26415312 27056568 27673184 28344976 28537971 29188348 29896922 30188928 30921792 31565996 31626496 32614824 33358112 33392128 34400553 34435632 35220416 36075424 36321054 37202781 38050628 38422272 39355008 40251904 41229056 41509776 42517464 43486432 43782522 44845383 45867404 45914176 47348994 47439744 48428072 49603708 50037168 50088192 51079609 52473344 52830624 54113136 55346368 56689952 57075942 58376696 59793844 60377856 61843584 63131992 63252992 65229648 66588599 66716224 68801106 68871264 70440832 72150848 72642108 74405562 76101256 76844544 78710016 80267957 82458112 83019552 85034928 86806489 86972864 87565044 89690766 91734808 91828352 94697988 94879488 96856144 99207416 100074336 100176384 102159218 104639227 105661248 108226272 110692736 113379904 114151884 116753392 119587688 120755712 123687168 126135361 126263984 130459296 133177198 133432448 137602212 137742528 140881664 144301696 145284216 148811124 152202512 153238827 157420032 160535914 164433071 166039104 170069856 173612978 173945728 175130088 179381532 183469616 183656704 189395976 189758976 193712288 198414832 199765797 200148672 204318436 209278454 211322496 216452544 221385472 226759808 228303768 233506784 239175376 240803871 247374336 252270722 252527968 260419467 260918592 266354396 266864896 275204424 275485056 281763328 288603392 290568432 297622248 304405024 306477654 313917681 321071828 328866142 332078208 340139712 347225956 347891456 350260176 358763064 366939232 367313408 378406083 378791952 387424576 396829664 399531594 400297344 408636872 418556908 422644992 432905088 442770944 453519616 456607536 467013568 478350752 481607742 493299213 504541444 505055936 520838934 521837184 532708792 533729792 550408848 550970112 561875699 577206784 581136864 595244496 608810048 612955308 627835362 642143656 657732284 664156416 680279424 694451912 695782912 700520352 717526128 732474589 733878464 756812166 757583904 774849152 793659328 799063188 800594688 817273744 837113816 845289984 865810176 882947527 907039232 913215072 934027136 956701504 963215484 986598426 1009082888 1010111872 1041677868 1043674368 1065417584 1100817696 1101940224 1123751398 1151031497 1162273728 1190488992 1217620096 1225910616 1255670724 1284287312 1315464568 1328312832 1360558848 1387488971 1388903824 1401040704 1435052256 1464949178 1467756928 1513624332 1515167808 1549698304 1587318656 1598126376 1601189376 1634547488 1674227632 1685627097 1731620352 1765895054 1808763781 1826430144 1868054272 1913403008 1926430968 1973196852 2018165776 2020223744 2083355736 2087348736 2130835168 2197423767 2201635392 2247502796 2302062994 2324547456 2380977984 2435240192 2451821232 2511341448 2568574624 2630929136 2648842581 2721117696 2774977942 2777807648 2802081408 2870104512 2929898356 2935513856 3027248664 3030335616 3099396608 3174637312 3196252752 3269094976 3348455264 3371254194 3453094491 3531790108 3617527562 3652860288 3736108544 3826806016 3852861936 3946393704 4036331552 4040447488 4162466913 4166711472 4261670336 4394847534 4403270784 4495005592 4604125988 4649094912 4761955968 4870480384 4903642464 5022682896 5137149248 5261858272 5297685162 5426291343 5549955884 5555615296 5604162816 5740209024 5859796712 5871027712 6054497328 6060671232 6180632689 6349274624 6392505504 6538189952 6696910528 6742508388 6906188982 7063580216 7235055124 7305720576 7653612032 7705723872 7892787408 8057220479 8072663104 8324933826 8333422944 8523340672 8789695068 8806541568 8990011184 9208251976 9298189824 9523911936 9712422797 9807284928 10045365792 10274298496 10523716544 10595370324 10852582686 11099911768 11111230592 11208325632 11480418048 11719593424 12108994656 12121342464 12361265378 12661346467 12785011008 13076379904 13393821056 13485016776 13812377964 14127160432 14470110248 14611441152 15262378681 15411447744 15785574816 16114440958 16145326208 16649867652 16666845888 17046681344 17579390136 17613083136 17980022368 18416503952 18541898067 19047823872 19424845594 19614569856 20090731584 20548596992 21047433088 21190740648 21705165372 22199823536 22222461184 22960836096 23439186848 24171661437 24217989312 24722530756 25322692934 25570022016 26152759808 26787642112 26970033552 27624755928 28254320864 28940220496 29137268391 30524757362 30822895488 31571149632 32228881916 32290652416 33299735304 33333691776 34093362688 35158780272 35960044736 36833007904 37083796134 37984039401 38849691188 39229139712 40181463168 41097193984 42094866176 42381481296 43410330744 44399647072 44444922368 45787136043 46878373696 48343322874 48435978624 49445061512 50645385868 51140044032 53575284224 53940067104 55249511856 56508641728 57880440992 58274536782 61049514724 61645790976 63142299264 64457763832 64581304832 66599470608 66667383552 67986959579 70317560544 71920089472 73666015808 74167592268 75968078802 77699382376 78458279424 80362926336 84189732352 84762962592 86820661488 88629425269 88799294144 91574272086 93756747392 96686645748 96871957248 98890123024 101290771736 102280088064 106836650767 107880134208 110499023712 113017283456 115760881984 116549073564 122099029448 123291581952 126284598528 128915527664 133198941216 133334767104 135973919158 140635121088 143840178944 147332031616 148335184536 151936157604 155398764752 160725852672 167886165491 169525925184 173641322976 177258850538 177598588288 183148544172 187513494784 193373291496 193743914496 197780246048 202581543472 203960878737 213673301534 215760268416 220998047424 226034566912 231521763968 233098147128 244198058896 252569197056 257831055328 265888275807 266397882432 271947838316 281270242176 287680357888 294664063232 296670369072 303872315208 310797529504 320509952301 335772330982 339051850368 347282645952 354517701076 355197176576 366297088344 375026989568 386746582992 395560492096 405163086944 407921757474 427346603068 431520536832 441996094848 452069133824 463043527936 466196294256 488396117792 503658496473 515662110656 531776551614 532795764864 543895676632 562540484352 589328126464 593340738144 607744630416 621595059008 641019904602 671544661964 678103700736 694565291904 709035402152 710394353152 732594176688 747856555369 773493165984 791120984192 810326173888 815843514948 854693206136 863041073664 883992189696 926087055872 932392588512 976792235584 1007316992946 1031324221312 1063553103228 1065591529728 1087791353264 1125080968704 1175203158437 1186681476288 1215489260832 1243190118016 1282039809204 1343089323928 1356207401472 1389130583808 1418070804304 1465188353376 1495713110738 1546986331968 1582241968384 1620652347776 1631687029896 1709386412272 1767984379392 1846747820401 1864785177024 1953584471168 2014633985892 2062648442624 2127106206456 2131183059456 2175582706528 2243569666107 2350406316874 2373362952576 2430978521664 2486380236032 2564079618408 2686178647856 2778261167616 2836141608608 2930376706752 2991426221476 3093972663936 3164483936768 3241304695552 3263374059792 3418772824544 3525609475311 3693495640802 3729570354048 3907168942336 4029267971784 4125296885248 4254212412912 4351165413056 4487139332214 4700812633748 4746725905152 4861957043328 4972760472064 5128159236816 5372357295712 5540243461203 5672283217216 5860753413504 5982852442952 6187945327872 6482609391104 6526748119584 6837545649088 7051218950622 7386991281604 7459140708096 7814337884672 8058535943568 8226422109059 8508424825824 8702330826112 8974278664428 9401625267496 9493451810304 9723914086656 10256318473632 10744714591424 11080486922406 11344566434432 11721506827008 11965704885904 12375890655744 12927234742807 13053496239168 13675091298176 14102437901244 14773982563208 14918281416192 16117071887136 16452844218118 17016849651648 17404661652224 17948557328856 18803250534992 19447828173312 20512636947264 21489429182848 22160973844812 22689132868864 23443013654016 23931409771808 24679266327177 25854469485614 26106992478336 27350182596352 28204875802488 29547965126416 32234143774272 32905688436236 34033699303296 34809323304448 35897114657712 37606501069984 38781704228421 41025273894528 42978858365696 44321947689624 45378265737728 47862819543616 49358532654354 51708938971228 52213984956672 54700365192704 56409751604976 59095930252832 64468287548544 65811376872472 68067398606592 71794229315424 75213002139968 77563408456842 82050547789056 85957716731392 88643895379248 90490643199649 95725639087232 98717065308708 103417877942456 104427969913344 112819503209952 118191860505664 128936575097088 131622753744944 136134797213184 143588458630848 150426004279936 155126816913684 164101095578112 177287790758496 180981286399298 191451278174464 197434130617416 206835755884912 225639006419904 236383721011328 257873150194176 263245507489888 271471929598947 287176917261696 300852008559872 310253633827368 354575581516992 361962572798596 382902556348928 394868261234832 413671511769824 451278012839808 472767442022656 526491014979776 542943859197894 574353834523392 601704017119744 620507267654736 709151163033984 723925145597192 789736522469664 827343023539648 902556025679616 945534884045312 1052982029959552 1085887718395788 1148707669046784 1241014535309472 1418302326067968 1447850291194384 1579473044939328 1654686047079296 1805112051359232 2105964059919104 2171775436791576 2482029070618944 2836604652135936 2895700582388768 3158946089878656 3309372094158592 4211928119838208 4343550873583152 4964058141237888 5791401164777536 6317892179757312 6618744188317184 8687101747166304 9928116282475776 11582802329555072 12635784359514624 17374203494332608 19856232564951552 23165604659110144 34748406988665216 46331209318220288 69496813977330432 138993627954660864
- Sum of all divisors σ(n): 474281635301463924
- Sum of proper divisors (its aliquot sum) s(n): 335288007346803060
- 138993627954660864 is an abundant number, because the sum of its proper divisors (335288007346803060) is greater than itself. Its abundance is 196294379392142196
Bases of 138993627954660864
- Binary: 1111011011100110111110111110111000100011111000110000000002
- Hexadecimal: 0x1EDCDF7DC47C600
- Base-36: 120L4N6N2UIO
Squares and roots of 138993627954660864
- 138993627954660864 squared (1389936279546608642) is 19319228611998681996004821253226496
- 138993627954660864 cubed (1389936279546608643) is 2685249674067184008388492136639843337311761459052544
-
The
square root of 138993627954660864 is 372818491.9698335779 -
The
cube root of 138993627954660864 is 518002.2310675719
Scales and comparisons
How big is 138993627954660864?- 138,993,627,954,660,864 seconds is equal to 4,419,567,433 years, 22 weeks, 5 days, 12 hours, 54 minutes, 24 seconds.
-
To count from 1 to 138,993,627,954,660,864 would take you about thirteen billion, two hundred fifty-eight million, seven hundred two thousand, three hundred 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 138993627954660864 cubic inches would be around 43166.9 feet tall.
Recreational maths with 138993627954660864
- 138993627954660864 backwards is 468066459726399831
- 138993627954660864 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138993627954660864's digits is 96
- More coming soon!
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"Number 138993627954660864 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 138993627954660864 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138993627954660864/
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The information we have on file for 138993627954660864 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!
Keywords: Divisors of 138993627954660864, math, Factors of 138993627954660864, curriculum, school, college, exams, university, Prime factorization of 138993627954660864, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, nine hundred ninety-three trillion, six hundred twenty-seven billion, nine hundred fifty-four million, six hundred sixty thousand, eight hundred sixty-four.