138367872401099981120
138,367,872,401,099,981,120 is an even composite number composed of eight prime numbers multiplied together.
138367872401099981120 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138367872401099981120:
26 × 5 × 132 × 137 × 211 × 401 × 421 × 524287
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 137 × 211 × 401 × 421 × 524287)See below for interesting mathematical facts about the number 138367872401099981120 from the Numbermatics database.
Names of 138367872401099981120
- Cardinal: 138367872401099981120 can be written as One hundred thirty-eight quintillion, three hundred sixty-seven quadrillion, eight hundred seventy-two trillion, four hundred one billion, ninety-nine million, nine hundred eighty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3836787240109998112 × 1020
Factors of 138367872401099981120
Divisors of 138367872401099981120
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 137 160 169 208 211 260 274 320 338 401 416 421 422 520 548 676 685 802 832 842 844 845 1040 1055 1096 1352 1370 1604 1684 1688 1690 1781 2005 2080 2105 2110 2192 2704 2740 2743 3208 3368 3376 3380 3562 4010 4160 4210 4220 4384 5213 5408 5473 5480 5486 6416 6736 6752 6760 7124 8020 8420 8440 8768 8905 10426 10816 10946 10960 10972 12832 13472 13504 13520 13715 14248 16040 16840 16880 17810 20852 21892 21920 21944 23153 25664 26065 26944 27040 27365 27430 28496 28907 32080 33680 33760 35620 35659 41704 43784 43840 43888 46306 52130 54080 54730 54860 54937 56992 57677 57814 64160 67360 67520 67769 71149 71240 71318 83408 84611 87568 87776 88831 92612 104260 109460 109720 109874 113984 115354 115628 115765 128320 134720 135538 142298 142480 142636 144535 166816 168821 169222 175136 175552 177662 178295 185224 208520 218920 219440 219748 230708 231256 231530 271076 274685 284596 284960 285272 288385 289070 333632 337642 338444 338845 350272 355324 355745 356590 370448 375791 417040 423055 437840 438880 439496 444155 461416 462512 463060 524287 542152 549370 569192 569920 570544 576770 578140 675284 676888 677690 710648 711490 713180 714181 740896 749801 751582 834080 844105 846110 875680 877760 878992 888310 922832 925024 926120 1048574 1084304 1098740 1099943 1138384 1141088 1153540 1154803 1156280 1350568 1353776 1355380 1421296 1422980 1426360 1428362 1481792 1499602 1503164 1668160 1688210 1692220 1751360 1757984 1776620 1845664 1850048 1852240 1878955 2097148 2168608 2194673 2197480 2199886 2276768 2282176 2307080 2309606 2312560 2621435 2701136 2707552 2710760 2842592 2845960 2852720 2856724 2999204 3006328 3376420 3384440 3515968 3553240 3570905 3691328 3704480 3749005 3757910 4194296 4337216 4389346 4394960 4399772 4553536 4614160 4619212 4625120 4885283 5242870 5402272 5415104 5421520 5499715 5685184 5691920 5705440 5713448 5774015 5998408 6012656 6752840 6768880 6815731 7106480 7141810 7408960 7498010 7515820 8388592 8778692 8789920 8799544 9228320 9238424 9250240 9284353 9747413 9770566 10485740 10804544 10843040 10973365 10999430 11383840 11410880 11426896 11548030 11591707 11996816 12025312 12169847 13505680 13537760 13631462 14212960 14283620 14299259 14996020 15012439 15031640 16777184 17557384 17579840 17599088 18456640 18476848 18568706 19494826 19541132 20971480 21686080 21946730 21998860 22767680 22853792 23096060 23128477 23183414 23993632 24050624 24339694 24426415 27011360 27075520 27262924 28425920 28530749 28567240 28598518 29992040 30024878 30063280 33554368 34078655 35114768 35198176 35621231 36953696 37137412 38989652 39082264 41942960 43893460 43997720 45707584 46192120 46256954 46366828 46421765 47987264 48679388 48737065 48852830 54022720 54525848 57061498 57134480 57197036 57958535 59984080 60049756 60126560 60849235 68157310 70229536 70396352 71242462 71496295 71827319 73907392 74274824 75062195 77979304 78164528 83885920 87786920 87995440 88604503 92384240 92513908 92733656 92843530 97358776 97474130 97705660 109051696 110624557 114122996 114268960 114394072 115642385 115917070 119968160 120099512 120253120 121698470 136314620 140459072 142484924 142653745 142992590 143654638 148549648 150124390 150692191 155958608 156329056 158208011 167771840 175573840 175990880 177209006 178106155 184768480 185027816 185467312 185687060 194717552 194948260 195411320 210239087 218103392 220724827 221249114 228245992 228537920 228788144 231284770 231834140 239936320 240199024 243396940 272629240 284969848 285307490 285985180 287309276 297099296 300248780 300670201 301384382 311917216 312658112 316416022 351147680 351981760 354418012 356212310 359136595 369536960 370055632 370934624 371374120 389435104 389896520 390822640 420478174 436206784 441449654 442498228 443022515 456491984 457576288 462569540 463076003 463668280 480398048 486793880 545258480 553122785 569939696 570614980 571970360 574618552 594198592 600497560 601340402 602768764 623834432 632832044 702295360 708836024 712424620 718273190 740111264 741869248 742748240 753460955 778870208 779793040 781645280 791040055 840956348 882899308 884996456 886045030 912983968 915152576 925139080 926152006 927336560 933755147 960796096 973587760 1051195435 1090516960 1103624135 1106245570 1139879392 1141229960 1143940720 1149237104 1200995120 1202680804 1205537528 1265664088 1417672048 1424849240 1436546380 1438119241 1480222528 1485496480 1503351005 1506921910 1559586080 1563290560 1582080110 1681912696 1765798616 1769992912 1772090060 1825967936 1850278160 1852304012 1854673120 1867510294 1947175520 1958998483 2056704143 2102390870 2181033920 2207248270 2212491140 2279758784 2282459920 2287881440 2298474208 2315380015 2401990240 2405361608 2411075056 2531328176 2733108131 2835344096 2849698480 2869422751 2873092760 2876238482 2970992960 3006702010 3013843820 3119172160 3164160220 3363825392 3531597232 3539985824 3544180120 3700556320 3704608024 3709346240 3735020588 3894351040 3908712613 3917996966 4113408286 4204781740 4414496540 4424982280 4564919840 4575762880 4596948416 4630760030 4668775735 4803980480 4810723216 4822150112 4880108647 5062656352 5466216262 5670688192 5699396960 5738845502 5746185520 5752476964 6013404020 6019988039 6027687640 6328320440 6727650784 7063194464 7079971648 7088360240 7190596205 7401112640 7409216048 7470041176 7817425226 7835993932 8226816572 8409563480 8828993080 8849964560 9129839680 9261520060 9337551470 9621446432 9644300224 9760217294 9794992415 10125312704 10283520715 10932432524 11398793920 11477691004 11492371040 11504953928 12026808040 12039976078 12055375280 12138816911 12656640880 13455301568 13665540655 14126388928 14176720480 14347113755 14381192410 14818432096 14940082352 15155564309 15634850452 15671987864 16453633144 16819126960 17657986160 17699929120 18523040120 18675102940 18695550133 19242892864 19520434588 19543563065 19589984830 20567041430 21864865048 22955382008 22984742080 23009907856 24053616080 24079952156 24110750560 24277633822 24400543235 25313281760 27331081310 28353440960 28694227510 28762384820 28802754919 29636864192 29880164704 30099940195 30239301299 30311128618 31269700904 31343975728 32907266288 33638253920 35315972320 35399858240 35530405703 37046080240 37302495763 37350205880 37391100266 39040869176 39087126130 39179969660 41134082860 43729730096 44360447357 45910764016 46019815712 46572938497 48107232160 48159904312 48221501120 48555267644 48801086470 50626563520 54662162620 57388455020 57524769640 57605509838 59760329408 60199880390 60478602598 60622257236 60694084555 62539401808 62687951456 63441412411 65814532576 67276507840 70631944640 71060811406 74092160480 74604991526 74700411760 74782200532 75777821545 78081738352 78174252260 78359939320 82268165720 87459460192 88510655627 88720894714 91821528032 92039631424 93145876994 93477750665 96214464320 96319808624 97110535288 97602172940 109324325240 114776910040 115049539280 115211019676 120399760780 120957205196 121244514472 121388169110 125078803616 125375902912 126882824822 131629065152 142121622812 144013774595 148184320960 149209983052 149400823520 149564401064 151196506495 151555643090 156163476704 156348504520 156719878640 164536331440 174918920384 177021311254 177441789428 177652028515 183643056064 186291753988 186512478815 186955501330 192639617248 194221070576 195204345880 197022336017 218648650480 221802236785 229553820080 230099078560 230422039352 232864692485 240799521560 241914410392 242489028944 242776338220 250157607232 253765649644 284243245624 288027549190 298419966104 298801647040 299128802128 302393012990 303111286180 312326953408 312697009040 313439757280 317207062055 329072662880 354042622508 354883578856 355304057030 372583507976 373024957630 373911002660 374435813947 385279234496 388442141152 390408691760 393110916887 394044672034 437297300960 442553278135 443604473570 459107640160 460198157120 460844078704 465729384970 481599043120 483828820784 484978057888 485552676440 507531299288 568486491248 576055098380 576685815641 596839932208 598257604256 604786025980 605448200461 606222572360 625394018080 626879514560 634414124110 658145325760 708085245016 709767157712 710608114060 745167015952 746049915260 747822005320 748871627894 776884282304 780817383520 786221833774 788089344068 824738361343 874594601920 885106556270 887208947140 918215280320 921688157408 931458769940 963198086240 967657641568 969956115776 971105352880 985111680085 1015062598576 1136972982496 1150638523151 1152110196760 1153371631282 1193679864416 1196515208512 1209572051960 1210896400922 1212445144720 1250788036160 1268828248220 1416170490032 1419534315424 1421216228120 1490334031904 1492099830520 1495644010640 1497743255788 1561634767040 1572443667548 1576178688136 1649476722686 1770213112540 1774417894280 1843376314816 1862917539880 1872179069735 1926396172480 1935315283136 1942210705760 1965554584435 1970223360170 2030125197152 2273945964992 2301277046302 2304220393520 2306743262564 2387359728832 2419144103920 2421792801844 2424890289440 2537656496440 2561290368221 2832340980064 2839068630848 2842432456240 2883429078205 2980668063808 2984199661040 2991288021280 2995486511576 3027241002305 3144887335096 3152357376272 3298953445372 3540426225080 3548835788560 3725835079760 3744358139470 3884421411520 3931109168870 3940446720340 4060250394304 4123691806715 4602554092604 4608440787040 4613486525128 4838288207840 4843585603688 4849780578880 4867665581311 5075312992880 5110441919531 5122580736442 5664681960128 5684864912480 5753192615755 5766858156410 5968399322080 5982576042560 5990973023152 6054482004610 6077381287909 6289774670192 6304714752544 6380492574089 6597906890744 7080852450160 7097671577120 7451670159520 7488716278940 7496915603333 7862218337740 7870826605993 7880893440680 8247383613430 9205108185208 9216881574080 9226973050256 9676576415680 9687171207376 9735331162622 10150625985760 10220883839062 10245161472884 11369729824960 11506385231510 11533716312820 11936798644160 11981946046304 12108964009220 12125959820899 12154762575818 12579549340384 12609429505088 12760985148178 12806451841105 13195813781488 14161704900320 14195343154240 14903340319040 14958300800963 14977432557880 14993831206666 15724436675480 15741653211986 15761786881360 16494767226860 18410216370416 18453946100512 18675748337297 19374342414752 19470662325244 20301251971520 20441767678124 20490322945768 23012770463020 23067432625640 23963892092608 24217928018440 24251919641798 24309525151636 24338327906555 25159098680768 25521970296356 25552209597655 25612903682210 26391627562976 28323409800640 29916601601926 29954865115760 29987662413332 30386906439545 31448873350960 31483306423972 31523573762720 31902462870445 32989534453720 36820432740832 36907892201024 37351496674594 37484578016665 38748684829504 38941324650488 39354133029965 40883535356248 40980645891536 46025540926040 46134865251280 48435856036880 48503839283596 48619050303272 48676655813110 51043940592712 51104419195310 51225807364420 52783255125952 59833203203852 59909730231520 59975324826664 60629799104495 60773812879090 62897746701920 62966612847944 63047147525440 63804925740890 65979068907440 73640865481664 74702993349188 74791504004815 74969156033330 77882649300976 78708266059930 79005956742817 81767070712496 81961291783072 82946403463157 92051081852080 92269730502560 93378741686485 96871712073760 97007678567192 97238100606544 97353311626220 102087881185424 102208838390620 102451614728840 119666406407704 119819460463040 119950649653328 121259598208990 121547625758180 125795493403840 125933225695888 127609851481780 131958137814880 149405986698376 149583008009630 149938312066660 155765298601952 157416532119860 157637477671687 158011913485634 163534141424992 163922583566144 165892806926314 184102163704160 184539461005120 186757483372970 193743424147520 194015357134384 194476201213088 194706623252440 204175762370848 204417676781240 204903229457680 239332812815408 239901299306656 242519196417980 242784728384861 243095251516360 251866451391776 255219702963560 263916275629760 298811973396752 299166016019260 299876624133320 311530597203904 314833064239720 315274955343374 316023826971268 327068282849984 331785613852628 368204327408320 373514966745940 388030714268768 388952402426176 389413246504880 395029783714085 408351524741696 408835353562480 409806458915360 414732017315785 478665625630816 479802598613312 485038392835960 485569456769722 486190503032720 503732902783552 510439405927120 597623946793504 598332032038520 599753248266640 629666128479440 630549910686748 632047653942536 663571227705256 747029933491880 776061428537536 778826493009760 788187388358435 790059567428170 817670707124960 819612917830720 829464034631570 957331251261632 970076785671920 971138913539444 972381006065440 1020878811854240 1027077437656621 1078303245021041 1195247893587008 1196664064077040 1199506496533280 1213923641924305 1259332256958880 1261099821373496 1264095307885072 1327142455410512 1494059866983760 1557652986019520 1576374776716870 1580119134856340 1635341414249920 1658928069263140 1940153571343840 1942277827078888 1944762012130880 2041757623708480 2049287209731931 2054154875313242 2156606490042082 2393328128154080 2399012993066560 2427847283848610 2518664513917760 2522199642746992 2528190615770144 2558577522209689 2654284910821024 2988119733967520 3152749553433740 3156201469003193 3160238269712680 3317856138526280 3880307142687680 3884555654157776 4098574419463862 4108309750626484 4313212980084164 4786656256308160 4855694567697220 5044399285493984 5056381231540288 5117155044419378 5135387188283105 5308569821642048 5391516225105205 5976239467935040 6305499106867480 6312402938006386 6320476539425360 6635712277052560 7769111308315552 8197148838927724 8216619501252968 8626425960168328 9711389135394440 10088798570987968 10234310088838756 10246436048659655 10270774376566210 10783032450210410 12610998213734960 12624805876012772 12640953078850720 12792887611048445 13271424554105120 15538222616631104 15781007345015965 16394297677855448 16433239002505936 17252851920336656 19422778270788880 20468620177677512 20492872097319310 20541548753132420 21566064900420820 25221996427469920 25249611752025544 25281906157701440 25585775222096890 26542849108210240 31562014690031930 32788595355710896 32866478005011872 33261507788725957 34505703840673312 38845556541577760 40937240355355024 40985744194638620 41083097506264840 43132129800841640 50443992854939840 50499223504051088 51171550444193780 63124029380063860 65577190711421792 65732956010023744 66523015577451914 69011407681346624 77691113083155520 81874480710710048 81971488389277240 82166195012529680 86264259601683280 100998447008102176 102343100888387560 126248058760127720 131154381422843584 133046031154903828 163748961421420096 163942976778554480 164332390025059360 166307538943629785 172528519203366560 201996894016204352 204686201776775120 252496117520255440 266092062309807656 327885953557108960 328664780050118720 332615077887259570 345057038406733120 409372403553550240 432399601253437441 504992235040510880 532184124619615312 655771907114217920 665230155774519140 818744807107100480 864799202506874882 1009984470081021760 1064368249239230624 1330460311549038280 1729598405013749764 2128736498478461248 2161998006267187205 2660920623098076560 3459196810027499528 4323996012534374410 5321841246196153120 6918393620054999056 8647992025068748820 10643682492392306240 13836787240109998112 17295984050137497640 27673574480219996224 34591968100274995280 69183936200549990560 138367872401099981120
- Sum of all divisors σ(n): 362851923848249475072
- Sum of proper divisors (its aliquot sum) s(n): 224484051447149493952
- 138367872401099981120 is an abundant number, because the sum of its proper divisors (224484051447149493952) is greater than itself. Its abundance is 86116179046049512832
Bases of 138367872401099981120
- Binary: 11110000000001111010110111011011000001010100010010000000001010000002
- Hexadecimal: 0x7803D6ED82A240140
- Base-36: T795H63PMKBI8
Squares and roots of 138367872401099981120
- 138367872401099981120 squared (1383678724010999811202) is 19145668112807085854510348134464356454400
- 138367872401099981120 cubed (1383678724010999811203) is 2649145362466699534786606639791322566023073631972790140928000
-
The
square root of 138367872401099981120 is 11762987392.7119373207 -
The
cube root of 138367872401099981120 is 5172237.0514271697
Scales and comparisons
How big is 138367872401099981120?- 138,367,872,401,099,981,120 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,367,872,401,099,981,120 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 138367872401099981120 cubic inches would be around 431019.8 feet tall.
Recreational maths with 138367872401099981120
- 138367872401099981120 backwards is 021189990104278763831
- The number of decimal digits it has is: 21
- The sum of 138367872401099981120's digits is 89
- More coming soon!
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"Number 138367872401099981120 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 138367872401099981120 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138367872401099981120/
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Numbermatics. 2024. "Number 138367872401099981120 - Facts about the integer". https://numbermatics.com/n/138367872401099981120/
The information we have on file for 138367872401099981120 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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