138101001069100800
138,101,001,069,100,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138101001069100800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
138101001069100800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138101001069100800:
28 × 3 × 52 × 172 × 4312 × 133981
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 17 × 431 × 431 × 133981)See below for interesting mathematical facts about the number 138101001069100800 from the Numbermatics database.
Names of 138101001069100800
- Cardinal: 138101001069100800 can be written as One hundred thirty-eight quadrillion, one hundred one trillion, one billion, sixty-nine million, one hundred thousand, eight hundred.
Scientific notation
- Scientific notation: 1.381010010691008 × 1017
Factors of 138101001069100800
Divisors of 138101001069100800
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 64 68 75 80 85 96 100 102 120 128 136 150 160 170 192 200 204 240 255 256 272 289 300 320 340 384 400 408 425 431 480 510 544 578 600 640 680 768 800 816 850 862 867 960 1020 1088 1156 1200 1275 1280 1293 1360 1445 1600 1632 1700 1724 1734 1920 2040 2155 2176 2312 2400 2550 2586 2720 2890 3200 3264 3400 3448 3468 3840 4080 4310 4335 4352 4624 4800 5100 5172 5440 5780 6400 6465 6528 6800 6896 6936 7225 7327 8160 8620 8670 9248 9600 10200 10344 10775 10880 11560 12930 13056 13600 13792 13872 14450 14654 16320 17240 17340 18496 19200 20400 20688 21550 21675 21760 21981 23120 25860 27200 27584 27744 28900 29308 32325 32640 34480 34680 36635 36992 40800 41376 43100 43350 43962 46240 51720 54400 55168 55488 57800 58616 64650 65280 68960 69360 73270 73984 81600 82752 86200 86700 87924 92480 103440 108800 109905 110336 110976 115600 117232 124559 129300 133981 137920 138720 146540 163200 165504 172400 173400 175848 183175 184960 185761 206880 219810 221952 231200 234464 249118 258600 267962 275840 277440 293080 326400 331008 344800 346800 351696 366350 369920 371522 373677 401943 413760 439620 462400 468928 498236 517200 535924 549525 551680 554880 557283 586160 622795 669905 689600 693600 703392 732700 743044 747354 803886 827520 879240 924800 928805 937856 996472 1034400 1071848 1099050 1109760 1114566 1172320 1245590 1339810 1379200 1387200 1406784 1465400 1486088 1494708 1607772 1655040 1758480 1849600 1857610 1868385 1875712 1992944 2009715 2068800 2143696 2198100 2229132 2277677 2344640 2491180 2679620 2758400 2774400 2786415 2813568 2930800 2972176 2989416 3113975 3157937 3215544 3349525 3516960 3715220 3736770 3985888 4019430 4137600 4287392 4396200 4458264 4555354 4644025 4689280 4982360 5359240 5548800 5572830 5627136 5861600 5944352 5978832 6227950 6315874 6431088 6699050 6833031 7033920 7430440 7473540 7971776 8038860 8275200 8574784 8792400 8916528 9110708 9288050 9341925 9378560 9473811 9964720 10048575 10718480 11145660 11388385 11723200 11888704 11957664 12455900 12631748 12862176 13398100 13666062 13932075 14067840 14860880 14947080 15789685 15943552 16077720 17149568 17584800 17833056 18221416 18576100 18683850 18947622 19929440 20097150 21436960 22291320 22776770 23446400 23777408 23915328 24911800 25263496 25724352 26796200 27332124 27864150 28135680 29721760 29894160 31579370 31887104 32155440 34165155 34299136 35169600 35666112 36442832 37152200 37367700 37895244 38720509 39858880 40194300 42873920 44582640 45553540 46892800 47369055 47554816 47830656 49823600 50526992 51448704 53592400 53684929 54664248 55728300 56941925 57745811 59443520 59788320 63158740 64310880 68330310 70339200 71332224 72885664 74304400 74735400 75790488 77441018 78948425 79717760 80388600 85747840 89165280 91107080 94738110 95661312 99647200 101053984 102897408 107184800 107369858 109328496 111456600 113883850 115491622 116161527 118887040 119576640 126317480 128621760 136660620 140678400 142664448 145771328 148608800 149470800 151580976 154882036 157896850 159435520 160777200 161054787 170825775 171495680 173237433 178330560 182214160 189476220 193602545 199294400 202107968 214369600 214739716 218656992 222913200 227767700 230983244 232323054 236845275 237774080 239153280 252634960 257243520 268424645 273321240 288729055 291542656 297217600 298941600 303161952 309764072 315793700 321554400 322109574 341651550 346474866 356661120 364428320 378952440 387205090 398588800 404215936 428739200 429479432 437313984 445826400 455535400 461966488 464646108 473690550 478306560 505269920 514487040 536849290 546642480 577458110 580807635 583085312 594435200 597883200 606323904 619528144 631587400 643108800 644219148 683303100 692949732 713322240 728856640 757904880 774410180 797177600 805273935 808431872 857478400 858958864 866187165 874627968 891652800 911070800 923932976 929292216 947381100 968012725 981678787 1010539840 1073698580 1093284960 1154916220 1161615270 1188870400 1195766400 1212647808 1239056288 1263174800 1286217600 1288438296 1342123225 1366606200 1385899464 1443645275 1457713280 1515809760 1548820360 1610547870 1717917728 1732374330 1749255936 1783305600 1822141600 1847865952 1858584432 1894762200 1936025450 1963357574 2021079680 2147397160 2186569920 2309832440 2323230540 2391532800 2425295616 2478112576 2526349600 2572435200 2576876592 2684246450 2733212400 2771798928 2887290550 2904038175 2915426560 2945036361 3031619520 3097640720 3221095740 3435835456 3464748660 3566611200 3644283200 3695731904 3717168864 3789524400 3872050900 3926715148 4026369675 4042159360 4294794320 4330935825 4373139840 4619664880 4646461080 4908393935 4956225152 5052699200 5153753184 5368492900 5466424800 5543597856 5774581100 5808076350 5890072722 6063239040 6195281440 6442191480 6871670912 6929497320 7288566400 7391463808 7434337728 7579048800 7744101800 7853430296 8052739350 8589588640 8661871650 8746279680 9239329760 9292922160 9816787870 9912450304 10105398400 10307506368 10736985800 10932849600 11087195712 11549162200 11616152700 11780145444 12126478080 12390562880 12884382960 13743341824 13858994640 14577132800 14725181805 14782927616 14868675456 15158097600 15488203600 15706860592 16105478700 16688539379 17179177280 17323743300 18478659520 18585844320 19633575740 20210796800 20615012736 21473971600 21865699200 22174391424 23098324400 23232305400 23560290888 24541969675 24781125760 24888444541 25768765920 27717989280 29450363610 29737350912 30316195200 30976407200 31413721184 32210957400 33377078758 34358354560 34647486600 36957319040 37171688640 39267151480 41230025472 42947943200 43731398400 44348782848 46196648800 46464610800 47120581776 49083939350 49562251520 49776889082 50065618137 51537531840 55435978560 58900727220 60632390400 61952814400 62827442368 64421914800 66754157516 68716709120 69294973200 73625909025 73914638080 74343377280 74665333623 78534302960 83442696895 85895886400 92393297600 92929221600 94241163552 98167878700 99553778164 100131236274 103075063680 110871957120 117801454440 123905628800 124442222705 125654884736 128843829600 133508315032 138589946400 147251818050 148686754560 149330667246 157068605920 166885393790 171791772800 184786595200 185858443200 188482327104 196335757400 199107556328 200262472548 206150127360 221743914240 235602908880 247811257600 248884445410 250328090685 251309769472 257687659200 267016630064 277179892800 294503636100 298661334492 314137211840 333770787580 343583545600 369573190400 371716886400 373326668115 376964654208 392671514800 398215112656 400524945096 417213484475 423103557197 471205817760 497768890820 500656181370 515375318400 534033260128 554359785600 589007272200 597322668984 622211113525 628274423680 667541575160 743433772800 746653336230 753929308416 785343029600 796430225312 801049890192 834426968950 846207114394 942411635520 995537781640 1001312362740 1030750636800 1068066520256 1108719571200 1178014544400 1194645337968 1244422227050 1251640453425 1256548847360 1269310671591 1335083150320 1493306672460 1570686059200 1592860450624 1602099780384 1668853937900 1692414228788 1866633340575 1884823271040 1991075563280 2002624725480 2115517785985 2136133040512 2356029088800 2389290675936 2488844454100 2503280906850 2538621343182 2670166300640 2986613344920 3141372118400 3185720901248 3204199560768 3337707875800 3384828457576 3733266681150 3769646542080 3982151126560 4005249450960 4231035571970 4272266081024 4712058177600 4778581351872 4977688908200 5006561813700 5077242686364 5340332601280 5973226689840 6282744236800 6346553357955 6371441802496 6408399121536 6675415751600 6769656915152 7192760472349 7466533362300 7964302253120 8010498901920 8462071143940 9424116355200 9557162703744 9955377816400 10013123627400 10154485372728 10577588929925 10680665202560 11946453379680 12693106715910 12816798243072 13350831503200 13539313830304 14385520944698 14933066724600 15928604506240 16020997803840 16924142287880 18848232710400 19114325407488 19910755632800 20026247254800 20308970745456 21155177859850 21361330405120 21578281417047 23892906759360 25386213431820 26701663006400 27078627660608 28771041889396 29866133449200 31732766789775 31857209012480 32041995607680 33848284575760 35963802361745 39821511265600 40052494509600 40617941490912 42310355719700 43156562834094 47785813518720 50772426863640 53403326012800 54157255321216 57542083778792 59732266898400 63465533579550 64083991215360 67696569151520 71927604723490 79643022531200 80104989019200 81235882981824 84620711439400 86313125668188 95571627037440 101544853727280 106806652025600 107891407085235 108314510642432 115084167557584 119464533796800 126931067159100 135393138303040 143855209446980 159286045062400 160209978038400 162471765963648 169241422878800 172626251336376 179819011808725 203089707454560 215782814170470 230168335115168 238929067593600 253862134318200 270786276606080 287710418893960 320419956076800 324943531927296 338482845757600 345252502672752 359638023617450 406179414909120 431565628340940 460336670230336 477858135187200 507724268636400 539457035426175 541572553212160 575420837787920 676965691515200 690505005345504 719276047234900 812358829818240 863131256681880 920673340460672 1015448537272800 1078914070852350 1150841675575840 1353931383030400 1381010010691008 1438552094469800 1624717659636480 1726262513363760 1841346680921344 2030897074545600 2157828141704700 2301683351151680 2707862766060800 2762020021382016 2877104188939600 3452525026727520 4061794149091200 4315656283409400 4603366702303360 5524040042764032 5754208377879200 6905050053455040 8123588298182400 8631312566818800 9206733404606720 11508416755758400 13810100106910080 17262625133637600 23016833511516800 27620200213820160 34525250267275200 46033667023033600 69050500534550400 138101001069100800
- Sum of all divisors σ(n): 485278182741625448
- Sum of proper divisors (its aliquot sum) s(n): 347177181672524648
- 138101001069100800 is an abundant number, because the sum of its proper divisors (347177181672524648) is greater than itself. Its abundance is 209076180603423848
Bases of 138101001069100800
- Binary: 1111010101010001000100000111101111101100101111111000000002
- Hexadecimal: 0x1EAA220F7D97F00
- Base-36: 11RSPW1YCYDC
Squares and roots of 138101001069100800
- 138101001069100800 squared (1381010010691008002) is 19071886496287780304576520560640000
- 138101001069100800 cubed (1381010010691008003) is 2633846617413607858532785019791946432596672512000000
-
The
square root of 138101001069100800 is 371619430.4245955329 -
The
cube root of 138101001069100800 is 516890.9664964841
Scales and comparisons
How big is 138101001069100800?- 138,101,001,069,100,800 seconds is equal to 4,391,184,659 years, 28 weeks, 5 days, 13 hours, 20 minutes.
-
To count from 1 to 138,101,001,069,100,800 would take you about thirteen billion, one hundred seventy-three million, five hundred fifty-three thousand, nine hundred seventy-eight 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 138101001069100800 cubic inches would be around 43074.2 feet tall.
Recreational maths with 138101001069100800
- 138101001069100800 backwards is 008001960100101831
- The number of decimal digits it has is: 18
- The sum of 138101001069100800's digits is 39
- More coming soon!
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The information we have on file for 138101001069100800 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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