138135602833953984
138,135,602,833,953,984 is an even composite number composed of six prime numbers multiplied together.
138135602833953984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 138135602833953984:
26 × 34 × 72 × 312 × 532 × 201451
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 31 × 31 × 53 × 53 × 201451)See below for interesting mathematical facts about the number 138135602833953984 from the Numbermatics database.
Names of 138135602833953984
- Cardinal: 138135602833953984 can be written as One hundred thirty-eight quadrillion, one hundred thirty-five trillion, six hundred two billion, eight hundred thirty-three million, nine hundred fifty-three thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38135602833953984 × 1017
Factors of 138135602833953984
Divisors of 138135602833953984
- Number of divisors d(n): 1890
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 42 48 49 53 54 56 62 63 64 72 81 84 93 96 98 106 108 112 124 126 144 147 159 162 168 186 189 192 196 212 216 217 224 248 252 279 288 294 318 324 336 371 372 378 392 424 432 434 441 448 477 496 504 558 567 576 588 636 648 651 672 742 744 756 784 837 848 864 868 882 954 961 992 1008 1113 1116 1134 1176 1272 1296 1302 1323 1344 1431 1484 1488 1512 1519 1568 1643 1674 1696 1728 1736 1764 1908 1922 1953 1984 2016 2226 2232 2268 2352 2511 2544 2592 2597 2604 2646 2809 2862 2883 2968 2976 3024 3038 3136 3286 3339 3348 3392 3472 3528 3816 3844 3906 3969 4032 4293 4452 4464 4536 4557 4704 4929 5022 5088 5184 5194 5208 5292 5618 5724 5766 5859 5936 5952 6048 6076 6572 6678 6696 6727 6944 7056 7632 7688 7791 7812 7938 8427 8586 8649 8904 8928 9072 9114 9408 9858 10017 10044 10176 10388 10416 10584 11236 11448 11501 11532 11718 11872 12096 12152 13144 13356 13392 13454 13671 13888 14112 14787 15264 15376 15582 15624 15876 16854 17172 17298 17577 17808 17856 18144 18228 19663 19716 20034 20088 20181 20776 20832 21168 22472 22896 23002 23064 23373 23436 23744 24304 25281 25947 26288 26712 26784 26908 27342 28224 29574 30051 30528 30752 31164 31248 31752 33708 34344 34503 34596 35154 35616 36288 36456 39326 39432 40068 40176 40362 41013 41552 41664 42336 44361 44944 45792 46004 46128 46746 46872 47089 48608 50562 50933 51894 52576 53424 53568 53816 54684 58989 59148 60102 60543 61504 62328 62496 63504 67416 68688 69006 69192 70119 70308 71232 72912 75843 77841 78652 78864 80136 80352 80507 80724 82026 83104 84672 87079 88722 89888 91584 92008 92256 93492 93744 94178 97216 101124 101866 103509 103788 105152 106848 107632 109368 117978 118296 120204 121086 123039 124656 124992 127008 133083 134832 137376 137641 138012 138384 140238 140616 141267 145824 151686 152799 155682 157304 157728 160272 160704 161014 161448 164052 166208 174158 176967 177444 179776 181629 184016 184512 186984 187488 188356 201451 202248 203732 207018 207576 210357 213696 215264 218736 227529 235956 236592 240408 241521 242172 246078 249312 254016 261237 266166 269664 274752 275282 276024 276768 280476 281232 282534 291648 303372 305598 310527 311364 314608 315456 320544 322028 322896 328104 348316 353934 354888 356531 363258 368032 373968 374976 376712 402902 404496 407464 412923 414036 415152 420714 423801 430528 437472 455058 458397 471912 473184 480816 483042 484344 492156 498624 522474 530901 532332 539328 544887 550564 552048 553536 560952 562464 565068 604353 606744 609553 611196 621054 622728 629216 641088 644056 645792 656208 696632 707868 709776 713062 724563 726516 736064 747936 753424 783711 805804 808992 814928 825846 828072 830304 841428 847602 874944 910116 916794 931581 943824 946368 961632 966084 968688 984312 1044948 1061802 1064664 1069593 1089774 1101128 1104096 1121904 1124928 1130136 1208706 1213488 1219106 1222392 1238769 1242108 1245456 1258432 1271403 1288112 1291584 1312416 1375191 1393264 1410157 1415736 1419552 1426124 1449126 1453032 1495872 1506848 1567422 1592703 1611608 1617984 1629856 1651692 1656144 1660608 1682856 1695204 1813059 1820232 1828659 1833588 1863162 1887648 1923264 1932168 1937376 1968624 2089896 2123604 2129328 2139186 2173689 2179548 2202256 2208192 2243808 2260272 2351133 2417412 2426976 2438212 2444784 2477538 2484216 2490912 2495717 2542806 2576224 2624832 2699449 2750382 2786528 2820314 2831472 2839104 2852248 2898252 2906064 3013696 3134844 3185406 3208779 3223216 3259712 3303384 3312288 3365712 3390408 3626118 3640464 3657318 3667176 3716307 3726324 3775296 3814209 3864336 3874752 3937248 4125573 4179792 4230471 4247208 4258656 4266871 4278372 4347378 4359096 4404512 4487616 4520544 4702266 4834824 4853952 4876424 4889568 4955076 4968432 4981824 4991434 5085612 5152448 5398898 5439177 5485977 5500764 5573056 5640628 5662944 5704496 5796504 5812128 6244981 6269688 6370812 6417558 6446432 6521067 6606768 6624576 6731424 6780816 7053399 7252236 7280928 7314636 7334352 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427802149404 428955254928 430941158886 437891822739 439072124148 443646673456 444842486592 452017365408 455334054672 473638093983 488916742176 491180245612 492504181584 499102507638 500447797416 501796713312 502764685367 512250811506 518982901024 528775031232 543806700499 554067204282 561348852128 570402865872 571940339904 574588211848 583855763652 585429498864 607112072896 631517458644 641703224106 646411738329 656672242112 665470010184 667263729888 678026048112 683001082008 685703237184 733375113264 736770368418 738756272376 748653761457 750671696124 760537154496 768376217259 778474351536 780572665152 793162546848 831100806423 842023278192 855604298808 857910509856 859565429821 861882317772 875783645478 878144248296 887293346912 904034730816 910668109344 947276187966 977833484352 982360491224 985008363168 998205015276 1000895594832 1003593426624 1005529370734 1024501623012 1037965802048 1087613400998 1105155552627 1108134408564 1122697704256 1140805731744 1149176423696 1167711527304 1170858997728 1263034917288 1283406448212 1292823476658 1313675468217 1330940020368 1334527459776 1356052096224 1366002164016 1420914281949 1466750226528 1473540736836 1477512544752 1497307522914 1501343392248 1508294056101 1536752434518 1556948703072 1586325093696 1631420101497 1662201612846 1684046556384 1711208597616 1715821019712 1719130859642 1723764635544 1751567290956 1756288496592 1774586693824 1821336218688 1894552375932 1939235214987 1964720982448 1970016726336 1996410030552 2001791189664 2011058741468 2049003246024 2175226801996 2210311105254 2216268817128 2245961284371 2281611463488 2298352847392 2335423054608 2341717995456 2526069834576 2566812896424 2578696289463 2585646953316 2627350936434 2661880040736 2712104192448 2732004328032 2841828563898 2933500453056 2947081473672 2955025089504 2994615045828 3002686784496 3016588112202 3073504869036 3113897406144 3262840202994 3315466657881 3324403225692 3368093112768 3422417195232 3438261719284 3447529271088 3503134581912 3512576993184 3789104751864 3806646903493 3878470429974 3929441964896 3992820061104 4003582379328 4022117482936 4098006492048 4350453603992 4420622210508 4432537634256 4491922568742 4524882168303 4596705694784 4670846109216 4894260304491 5052139669152 5133625792848 5157392578926 5171293906632 5254701872868 5323760081472 5464008656064 5683657127796 5817705644961 5894162947344 5910050179008 5989230091656 6005373568992 6033176224404 6147009738072 6525680405988 6630933315762 6648806451384 6844834390464 6876523438568 6895058542176 7006269163824 7025153986368 7578209503728 7613293806986 7736088868389 7756940859948 7858883929792 7985640122208 8044234965872 8196012984096 8700907207984 8841244421016 8865075268512 8983845137484 9049764336606 9341692218432 9788520608982 9946399973643 10104279338304 10267251585696 10314785157852 10342587813264 10509403745736 11367314255592 11419940710479 11635411289922 11788325894688 11978460183312 12010747137984 12066352448808 12294019476144 13051360811976 13261866631524 13297612902768 13574646504909 13753046877136 13790117084352 14012538327648 14682780913473 15156419007456 15226587613972 15472177736778 15513881719896 15971280244416 16088469931744 16392025968192 17401814415968 17682488842032 17730150537024 17967690274968 18099528673212 19577041217964 19892799947286 20534503171392 20629570315704 20685175626528 21018807491472 22734628511184 22839881420958 23208266605167 23270822579844 23576651789376 23956920366624 24132704897616 24588038952288 26102721623952 26523733263048 26595225805536 26646528324451 27149293009818 27506093754272 28025076655296 29365561826946 30312838014912 30453175227944 30944355473556 31027763439792 32176939863488 34259822131437 34803628831936 35364977684064 35935380549936 36199057346424 39154082435928 39785599894572 40723939514727 41259140631408 41370351253056 42037614982944 44048342740419 45469257022368 45679762841916 46416533210334 46541645159688 47913840733248 48265409795232 49176077904576 52205443247904 53047466526096 53190451611072 53293056648902 54298586019636 55012187508544 58731123653892 60906350455888 61888710947112 62055526879584 68519644262874 69624799815501 70729955368128 71870761099872 72398114692848 78308164871856 79571199789144 79939584973353 81447879029454 82518281262816 84075229965888 88096685480838 90938514044736 91359525683832 92833066420668 93083290319376 96530819590464 102779466394311 104410886495808 106094933052192 106586113297804 108597172039272 117462247307784 121812700911776 123777421894224 124111053759168 137039288525748 139249599631002 143741522199744 144796229385696 156616329743712 159142399578288 159879169946706 162895758058908 165036562525632 176193370961676 182719051367664 185666132841336 186166580638752 205558932788622 212189866104384 213172226595608 217194344078544 234924494615568 239818754920059 243625401823552 247554843788448 274078577051496 278499199262004 289592458771392 308338399182933 313232659487424 318284799156576 319758339893412 325791516117816 352386741923352 365438102735328 371332265682672 372333161277504 411117865577244 426344453191216 434388688157088 469848989231136 479637509840118 495109687576896 548157154102992 556998398524008 616676798365866 636569598313152 639516679786824 651583032235632 704773483846704 719456264760177 730876205470656 742664531365344 822235731154488 852688906382432 868777376314176 939697978462272 959275019680236 1096314308205984 1113996797048016 1233353596731732 1279033359573648 1303166064471264 1409546967693408 1438912529520354 1485329062730688 1644471462308976 1705377812764864 1918550039360472 2158368794280531 2192628616411968 2227993594096032 2466707193463464 2558066719147296 2606332128942528 2819093935386816 2877825059040708 3288942924617952 3837100078720944 4316737588561062 4455987188192064 4933414386926928 5116133438294592 5755650118081416 6577885849235904 7674200157441888 8633475177122124 9866828773853856 11511300236162832 15348400314883776 17266950354244248 19733657547707712 23022600472325664 34533900708488496 46045200944651328 69067801416976992 138135602833953984
- Sum of all divisors σ(n): 501656133884074092
- Sum of proper divisors (its aliquot sum) s(n): 363520531050120108
- 138135602833953984 is an abundant number, because the sum of its proper divisors (363520531050120108) is greater than itself. Its abundance is 225384928216166124
Bases of 138135602833953984
- Binary: 1111010101100000110011001010100011100000010010100110000002
- Hexadecimal: 0x1EAC19951C094C0
- Base-36: 11S4ZFVVRG00
Squares and roots of 138135602833953984
- 138135602833953984 squared (1381356028339539842) is 19081444770299875935755983429472256
- 138135602833953984 cubed (1381356028339539843) is 2635826876288171969578512507461605057704482908667904
-
The
square root of 138135602833953984 is 371665982.8851087953 -
The
cube root of 138135602833953984 is 516934.1325995507
Scales and comparisons
How big is 138135602833953984?- 138,135,602,833,953,984 seconds is equal to 4,392,284,888 years, 33 weeks, 4 days, 1 hour, 26 minutes, 24 seconds.
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To count from 1 to 138,135,602,833,953,984 would take you about thirteen billion, one hundred seventy-six million, eight hundred fifty-four thousand, six hundred sixty-five 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 138135602833953984 cubic inches would be around 43077.8 feet tall.
Recreational maths with 138135602833953984
- 138135602833953984 backwards is 489359338206531831
- 138135602833953984 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138135602833953984's digits is 81
- More coming soon!
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The information we have on file for 138135602833953984 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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