138131626938118901360
138,131,626,938,118,901,360 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138131626938118901360 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 960 divisors.
138131626938118901360 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138131626938118901360:
24 × 5 × 7 × 132 × 19 × 211 × 9769 × 37267669
(2 × 2 × 2 × 2 × 5 × 7 × 13 × 13 × 19 × 211 × 9769 × 37267669)See below for interesting mathematical facts about the number 138131626938118901360 from the Numbermatics database.
Names of 138131626938118901360
- Cardinal: 138131626938118901360 can be written as One hundred thirty-eight quintillion, one hundred thirty-one quadrillion, six hundred twenty-six trillion, nine hundred thirty-eight billion, one hundred eighteen million, nine hundred one thousand, three hundred sixty.
Scientific notation
- Scientific notation: 1.3813162693811890136 × 1020
Factors of 138131626938118901360
Divisors of 138131626938118901360
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 19 20 26 28 35 38 40 52 56 65 70 76 80 91 95 104 112 130 133 140 152 169 182 190 208 211 247 260 266 280 304 338 364 380 422 455 494 520 532 560 665 676 728 760 844 845 910 988 1040 1055 1064 1183 1235 1330 1352 1456 1477 1520 1688 1690 1729 1820 1976 2110 2128 2366 2470 2660 2704 2743 2954 3211 3376 3380 3458 3640 3952 4009 4220 4732 4940 5320 5486 5908 5915 6422 6760 6916 7280 7385 8018 8440 8645 9464 9769 9880 10640 10972 11816 11830 12844 13520 13715 13832 14770 16036 16055 16880 17290 18928 19201 19538 19760 20045 21944 22477 23632 23660 25688 27430 27664 28063 29540 32072 32110 34580 35659 38402 39076 40090 43888 44954 47320 48845 51376 52117 54860 56126 59080 64144 64220 68383 69160 71318 76804 78152 80180 89908 94640 96005 97690 104234 109720 112252 112385 118160 126997 128440 136766 138320 140315 142636 153608 156304 160360 178295 179816 185611 192010 195380 208468 219440 224504 224770 249613 253994 256880 260585 273532 280630 285272 307216 320720 341915 356590 359632 364819 371222 384020 390760 416936 449008 449540 499226 507988 521170 547064 561260 570544 634985 677521 683830 713180 729638 742444 768040 781520 833872 888979 899080 928055 998452 1015976 1042340 1094128 1122520 1248065 1269970 1299277 1355042 1367660 1426360 1459276 1484888 1536080 1650961 1777958 1798160 1824095 1856110 1996904 2031952 2061259 2084680 2245040 2412943 2496130 2539940 2598554 2710084 2735320 2852720 2918552 2969776 3301922 3387605 3555916 3648190 3712220 3993808 4122518 4169360 4444895 4742647 4825886 4992260 5079880 5197108 5420168 5470640 5837104 6496385 6603844 6775210 7111832 7296380 7424440 8245036 8254805 8889790 9485294 9651772 9984520 10159760 10306295 10394216 10840336 11556727 12064715 12992770 13207688 13550420 14223664 14428813 14592760 14848880 16490072 16509610 16890601 17779580 18970588 19303544 19969040 20612590 20788432 23113454 23713235 24129430 25985540 26415376 26796367 27100840 28857626 29185520 31368259 32980144 33019220 33781202 35559160 37267669 37941176 38607088 39163921 41225180 46226908 47426470 48258860 51971080 53592734 54201680 57715252 57783635 62736518 66038440 67562404 71118320 72144065 74535338 75882352 78327842 82450360 84453005 92453816 94852940 96517720 103942160 107185468 115430504 115567270 125473036 132076880 133981835 135124808 144288130 149070676 156655684 156841295 164900720 168906010 184907632 186338345 187574569 189705880 193035440 195819605 214370936 219577813 230861008 231134540 250946072 260873683 267963670 270249616 274147447 288576260 298141352 313311368 313682590 337812020 348352771 372676690 375149138 379411760 391639210 428741872 439155626 462269080 484479697 501892144 509130973 521747366 535927340 548294894 577152520 596282704 626622736 627365180 675624040 696705542 708085711 745353380 750298276 783278420 878311252 924538160 937872845 968959394 1018261946 1043494732 1071854680 1096589788 1097889065 1154305040 1254730360 1304368415 1351248080 1370737235 1393411084 1416171422 1490706760 1500596552 1566556840 1741763855 1756622504 1875745690 1937918788 2036523892 2086989464 2143709360 2193179576 2195778130 2422398485 2438469397 2509460720 2545654865 2608736830 2741474470 2786822168 2832342844 2981413520 3001193104 3133113680 3391357879 3483527710 3513245008 3540428555 3563916811 3751491380 3875837576 4073047784 4173978928 4386359152 4391556260 4844796970 4876938794 4956599977 5091309730 5217473660 5482948940 5573644336 5664685688 6298236061 6618702649 6782715758 6967055420 7080857110 7127833622 7502982760 7751675152 7863478159 8146095568 8783112520 9205114243 9689593940 9753877588 9913199954 10182619460 10434947320 10965897880 11329371376 12192346985 12596472122 13237405298 13565431516 13934110840 14161714220 14255667244 15005965520 15726956318 16956789395 17566225040 17819584055 18410228486 19379187880 19507755176 19826399908 20365238920 20869894640 21931795760 24384693970 24782999885 25192944244 26474810596 27130863032 27868221680 28323428440 28511334488 31453912636 31491180305 33093513245 33913578790 35639168110 36820456972 38758375760 39015510352 39317390795 39652799816 40730477840 44087652427 46025571215 46330918543 48769387940 49565999770 50385888488 52949621192 54261726064 55044347113 56646856880 57022668976 62907825272 62982360610 64435799701 66187026490 67827157580 71278336220 73640913944 78634781590 79305599632 88175304854 92051142430 92661837086 97538775880 99131999540 100771776976 102225216067 105899242384 110088694226 119666485159 125815650544 125964721220 128871599402 132374052980 135654315160 142556672440 147281827888 149406085021 157269563180 176350609708 184102284860 185323674172 195077551760 198263999080 204450432134 220177388452 220438262135 231654592715 239332970318 251929442440 257743198804 264748105960 271308630320 275221735565 285113344880 298812170042 314539126360 322178998505 352701219416 364067858461 368204569720 370647348344 396527998160 408900864268 440354776904 440876524270 463309185430 478665940636 503858884880 511126080335 515486397608 529496211920 550443471130 597624340084 598332425795 629078252720 644357997010 705402438832 715576512469 728135716922 736409139440 741294696688 747030425105 817801728536 837665396113 880709553808 881753048540 926618370860 957331881272 1022252160670 1030972795216 1045842595147 1100886942260 1195248680168 1196664851590 1288715994020 1328927808871 1431153024938 1456271433844 1494060850210 1635603457072 1675330792226 1763506097080 1820339292305 1853236741720 1914663762544 1942279105273 2044504321340 2091685190294 2201773884520 2390497360336 2393329703180 2548475009227 2577431988040 2657855617742 2862306049876 2912542867688 2988121700420 3350661584452 3527012194160 3577882562345 3640678584610 3706473483440 3884558210546 4089008642680 4183370380588 4188326980565 4403547769040 4732882159993 4786659406360 5096950018454 5154863976080 5229212975735 5315711235484 5724612099752 5825085735376 5976243400840 6644639044355 6701323168904 6917289310759 7155765124690 7281357169220 7769116421092 8178017285360 8366740761176 8376653961130 9302494662097 9465764319986 9573318812720 9711395526365 10193900036908 10458425951470 10631422470968 11449224199504 11952486801680 12742375046135 13289278088710 13402646337808 13595953736911 13834578621518 14311530249380 14562714338440 15538232842184 16733481522352 16753307922260 18604989324194 18931528639972 19422791052730 20387800073816 20916851902940 21262844941936 23664410799965 25249628368549 25484750092270 26578556177420 27191907473822 27669157243036 28623060498760 29125428676880 31076465684368 33130175119951 33506615844520 34586446553795 37209978648388 37863057279944 38845582105460 40775600147632 41833703805880 46512473310485 47328821599930 48421025175313 50499256737098 50969500184540 53157112354840 54383814947644 55338314486072 57246120997520 61527468079909 66260350239902 67013231689040 67979768684555 69172893107590 74419957296776 75726114559888 76818318135271 77691164210920 83667407611760 89924761039867 93024946620970 94657643199860 96842050350626 100998513474196 101939000369080 106314224709680 108767629895288 110676628972144 123054936159818 126248141842745 132520700479804 135959537369110 138345786215180 148839914593552 153636636270542 155382328421840 165650875599755 176747398579843 179849522079734 186049893241940 189315286399720 193684100701252 201997026948392 203878000738160 217535259790576 242105125876565 246109872319636 252496283685490 265041400959608 271919074738220 276691572430360 307273272541084 307637340399545 331301751199510 353494797159686 359699044159468 372099786483880 378630572799440 384091590676355 387368201402504 403994053896784 430692276559363 449623805199335 484210251753130 492219744639272 504992567370980 530082801919216 537728226946897 543838149476440 553383144860720 614546545082168 615274680799090 629473327279069 662603502399020 706989594319372 719398088318936 744199572967760 768183181352710 774736402805008 861384553118726 883736992899215 899247610398670 968420503506260 984439489278544 998638135758523 1009985134741960 1075456453893794 1087676298952880 1169021893518271 1229093090164336 1230549361598180 1258946654558138 1325207004798040 1413979188638744 1438796176637872 1459548044570149 1536366362705420 1722769106237452 1767473985798430 1798495220797340 1936841007012520 1997276271517046 2019970269483920 2150912907787588 2153461382796815 2338043787036542 2461098723196360 2517893309116276 2650414009596080 2688641134734485 2827958377277488 2919096089140298 3072732725410840 3147366636395345 3445538212474904 3534947971596860 3596990441594680 3873682014025040 3994552543034092 4301825815575176 4306922765593630 4676087574073084 4922197446392720 4993190678792615 5035786618232552 5377282269468970 5838192178280596 5845109467591355 6145465450821680 6294733272790690 6891076424949808 6990466950309661 7069895943193720 7193980883189360 7297740222850745 7989105086068184 8183153254627897 8603651631150352 8613845531187260 9352175148146168 9986381357585230 10071573236465104 10216836311991043 10754564538937940 11676384356561192 11690218935182710 12589466545581380 12982295764860799 13980933900619322 14139791886387440 14595480445701490 15978210172136368 16366306509255794 17227691062374520 18704350296292336 18974124579411937 19972762715170460 20433672623982086 21509129077875880 23352768713122384 23380437870365420 25178933091162760 25964591529721598 27961867801238644 29190960891402980 32732613018511588 34455382124749040 34952334751548305 37948249158823874 39945525430340920 40867345247964172 40915766273139485 43018258155751760 46760875740730840 50357866182325520 51084181559955215 51929183059443196 55923735602477288 58381921782805960 64911478824303995 65465226037023176 69904669503096610 75896498317647748 79891050860681840 81734690495928344 81831532546278970 90876070354025593 93521751481461680 94870622897059685 102168363119910430 103858366118886392 111847471204954576 116763843565611920 129822957648607990 130930452074046352 132818872055883559 139809339006193220 151792996635295496 163469380991856688 163663065092557940 181752140708051186 189741245794119370 204336726239820860 207716732237772784 246663619532355181 259645915297215980 265637744111767118 279618678012386440 303585993270590992 327326130185115880 363504281416102372 379482491588238740 408673452479641720 454380351770127965 493327239064710362 519291830594431960 531275488223534236 559237356024772880 654652260370231760 664094360279417795 727008562832204744 758964983176477480 817346904959283440 908760703540255930 986654478129420724 1038583661188863920 1062550976447068472 1233318097661775905 1328188720558835590 1454017125664409488 1517929966352954960 1726645336726486267 1817521407080511860 1973308956258841448 2125101952894136944 2466636195323551810 2656377441117671180 3453290673452972534 3635042814161023720 3946617912517682896 4933272390647103620 5312754882235342360 6906581346905945068 7270085628322047440 8633226683632431335 9866544781294207240 10625509764470684720 13813162693811890136 17266453367264862670 19733089562588414480 27626325387623780272 34532906734529725340 69065813469059450680 138131626938118901360
- Sum of all divisors σ(n): 420384488086721664000
- Sum of proper divisors (its aliquot sum) s(n): 282252861148602762640
- 138131626938118901360 is an abundant number, because the sum of its proper divisors (282252861148602762640) is greater than itself. Its abundance is 144121234210483861280
Bases of 138131626938118901360
- Binary: 11101111100111101100001111011011000111101010101101100001110011100002
- Hexadecimal: 0x77CF61ED8F55B0E70
- Base-36: T5GJB54ACQ4Q8
Squares and roots of 138131626938118901360
- 138131626938118901360 squared (1381316269381189013602) is 19080346360571655332447895808893409849600
- 138131626938118901360 cubed (1381316269381189013603) is 2635599285328578605930354130393637538892497615050954835456000
-
The
square root of 138131626938118901360 is 11752941203.7208329327 -
The
cube root of 138131626938118901360 is 5169291.7298995525
Scales and comparisons
How big is 138131626938118901360?- 138,131,626,938,118,901,360 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,131,626,938,118,901,360 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 138131626938118901360 cubic inches would be around 430774.3 feet tall.
Recreational maths with 138131626938118901360
- 138131626938118901360 backwards is 063109811839626131831
- 138131626938118901360 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138131626938118901360's digits is 80
- More coming soon!
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The information we have on file for 138131626938118901360 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 138131626938118901360, math, Factors of 138131626938118901360, curriculum, school, college, exams, university, Prime factorization of 138131626938118901360, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, one hundred thirty-one quadrillion, six hundred twenty-six trillion, nine hundred thirty-eight billion, one hundred eighteen million, nine hundred one thousand, three hundred sixty.