135842367638016
135,842,367,638,016 is an even composite number composed of six prime numbers multiplied together.
What does the number 135842367638016 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1800 divisors.
135842367638016 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 135842367638016:
29 × 34 × 13 × 372 × 41 × 672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 37 × 37 × 41 × 67 × 67)See below for interesting mathematical facts about the number 135842367638016 from the Numbermatics database.
Names of 135842367638016
- Cardinal: 135842367638016 can be written as One hundred thirty-five trillion, eight hundred forty-two billion, three hundred sixty-seven million, six hundred thirty-eight thousand and sixteen.
Scientific notation
- Scientific notation: 1.35842367638016 × 1014
Factors of 135842367638016
Divisors of 135842367638016
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 37 39 41 48 52 54 64 67 72 74 78 81 82 96 104 108 111 117 123 128 134 144 148 156 162 164 192 201 208 216 222 234 246 256 268 288 296 312 324 328 333 351 369 384 402 416 432 444 468 481 492 512 533 536 576 592 603 624 648 656 666 702 738 768 804 832 864 871 888 936 962 984 999 1053 1066 1072 1107 1152 1184 1206 1248 1296 1312 1332 1369 1404 1443 1476 1517 1536 1599 1608 1664 1728 1742 1776 1809 1872 1924 1968 1998 2106 2132 2144 2214 2304 2368 2412 2479 2496 2592 2613 2624 2664 2738 2747 2808 2886 2952 2997 3034 3198 3216 3321 3328 3456 3484 3552 3618 3744 3848 3936 3996 4107 4212 4264 4288 4329 4428 4489 4551 4608 4736 4797 4824 4958 4992 5184 5226 5248 5328 5427 5476 5494 5616 5772 5904 5994 6068 6396 6432 6642 6656 6912 6968 7104 7236 7437 7488 7696 7839 7872 7992 8214 8241 8424 8528 8576 8658 8856 8978 9102 9472 9594 9648 9916 9984 10368 10452 10496 10656 10854 10952 10988 11232 11544 11808 11988 12136 12321 12792 12864 12987 13284 13467 13653 13824 13936 14208 14391 14472 14874 14976 15392 15678 15744 15984 16428 16482 16848 17056 17152 17316 17712 17797 17956 18204 18944 19188 19296 19721 19832 19968 20736 20904 20992 21312 21708 21904 21976 22311 22464 23088 23517 23616 23976 24272 24642 24723 25584 25728 25974 26568 26934 27306 27872 28416 28782 28944 29748 29952 30784 31356 31488 31968 32227 32856 32964 33696 34112 34304 34632 35424 35594 35711 35912 36408 36963 38376 38592 38961 39442 39664 40401 40959 41472 41808 42624 43173 43416 43808 43952 44622 44928 46176 47034 47232 47952 48544 49284 49446 51168 51456 51948 53136 53391 53868 54612 55744 56129 56832 57564 57888 58357 59163 59496 59904 61568 62712 62976 63936 64454 65712 65928 66933 67392 68224 69264 70551 70848 71188 71422 71824 72816 73926 74169 76752 77184 77922 78884 79328 80802 81918 83616 85248 86346 86832 87616 87904 89244 89856 91723 92352 94068 94464 95904 96681 97088 98568 98892 101639 102336 102912 103896 106272 106782 107133 107736 109224 110889 111488 112258 115128 115776 116714 118326 118992 121203 122877 123136 125424 127872 128908 131424 131856 133866 134784 136448 138528 141102 141696 142376 142844 143648 145632 147852 148338 153504 154368 155844 157768 158656 160173 161604 163836 166093 167232 168387 170496 172692 173664 175071 175232 175808 177489 178488 179712 183446 184049 184704 188136 188928 191808 193362 194176 197136 197784 200799 203278 204672 207792 212544 213564 214266 215472 218448 221778 222507 222976 224516 230256 231552 233428 236652 237984 242406 245754 246272 250848 255744 257816 262848 263712 267732 269568 272896 275169 277056 282204 283392 284752 285688 287296 290043 291264 295704 296676 304917 307008 308736 311688 315536 317312 320346 321399 323208 327672 332186 334464 336774 345384 347328 350142 350464 351616 354978 356976 363609 366892 368098 369408 376272 383616 386724 388352 394272 395568 401598 406556 409344 415584 425088 427128 428532 430944 436896 443556 445014 445952 449032 460512 463104 466856 473304 475968 480519 484812 491508 498279 501696 505161 511488 515632 525213 525696 527424 532467 535464 539136 550338 552147 554112 564408 566784 569504 571376 574592 580086 582528 591408 593352 609834 614016 623376 631072 634624 640692 642798 646416 655344 664372 668928 673548 690768 694656 700284 700928 703232 709956 713952 727218 729677 733784 736196 738816 752544 767232 773448 776704 788544 791136 803196 813112 818688 825507 831168 850176 854256 857064 861888 870129 873792 887112 890028 898064 914751 921024 926208 933712 946608 951936 961038 964197 969624 983016 996558 1003392 1010322 1031264 1050426 1051392 1054848 1064934 1070928 1100676 1104294 1108224 1128816 1139008 1142752 1149184 1160172 1165056 1182816 1186704 1192399 1219668 1228032 1246752 1262144 1269248 1281384 1285596 1292832 1310688 1321307 1328744 1337856 1347096 1381536 1389312 1400568 1406464 1419912 1427904 1441557 1454436 1459354 1467568 1472392 1494837 1505088 1515483 1534464 1546896 1575639 1577088 1582272 1597401 1606392 1626224 1651014 1656441 1662336 1700352 1708512 1714128 1723776 1740258 1747584 1774224 1780056 1796128 1829502 1842048 1867424 1893216 1903872 1922076 1928394 1939248 1966032 1993116 2006784 2020644 2062528 2100852 2102784 2109696 2129868 2141856 2159209 2189031 2201352 2208588 2216448 2257632 2278016 2285504 2298368 2320344 2330112 2365632 2373408 2384798 2392637 2439336 2456064 2476521 2493504 2524288 2562768 2571192 2585664 2610387 2621376 2642614 2657488 2694192 2744253 2763072 2778624 2801136 2839824 2855808 2883114 2892591 2908872 2918708 2935136 2944784 2989674 3010176 3030966 3093792 3151278 3154176 3164544 3194802 3212784 3252448 3302028 3312882 3324672 3417024 3428256 3447552 3480516 3495168 3548448 3560112 3577197 3592256 3659004 3684096 3734848 3760643 3786432 3807744 3844152 3856788 3878496 3932064 3963921 3986232 4013568 4041288 4125056 4201704 4219392 4259736 4283712 4318418 4378062 4402704 4417176 4484511 4515264 4546449 4556032 4571008 4640688 4726917 4731264 4746816 4769596 4785274 4878672 4953042 4969323 4987008 5048576 5125536 5142384 5171328 5220774 5242752 5285228 5314976 5388384 5488506 5526144 5602272 5679648 5711616 5766228 5785182 5817744 5837416 5870272 5889568 5979348 6020352 6061932 6145441 6187584 6302556 6308352 6329088 6389604 6425568 6477627 6504896 6567093 6604056 6625764 6649344 6809813 6834048 6856512 6895104 6961032 6990336 7096896 7120224 7154394 7177911 7184512 7318008 7368192 7429563 7469696 7521286 7572864 7688304 7713576 7756992 7864128 7927842 7972464 8082576 8232759 8250112 8403408 8519472 8567424 8636836 8756124 8805408 8834352 8969022 9030528 9092898 9112064 9142016 9281376 9453834 9462528 9493632 9539192 9570548 9757344 9906084 9938646 9974016 10097152 10251072 10284768 10342656 10441548 10485504 10570456 10629952 10731591 10776768 10977012 11052288 11204544 11281929 11359296 11423232 11532456 11570364 11635488 11674832 11740544 11779136 11891763 11958696 12040704 12123864 12290882 12375168 12605112 12658176 12779208 12851136 12955254 13009792 13134186 13208112 13251528 13453533 13619626 13668096 13713024 13922064 14193792 14240448 14308788 14355822 14369024 14636016 14859126 14907969 14939392 15042572 15145728 15376608 15427152 15513984 15728256 15855684 15944928 16165152 16465518 16500224 16806816 17038944 17134848 17273672 17512248 17610816 17668704 17938044 18061056 18185796 18284032 18436323 18562752 18907668 18925056 18987264 19078384 19141096 19432881 19514688 19701279 19812168 19877292 19948032 20429439 20502144 20569536 20685312 20883096 20971008 21140912 21259904 21463182 21533733 21553536 21954024 22104576 22409088 22563858 22718592 23064912 23140728 23270976 23349664 23481088 23558272 23783526 23917392 24247728 24581764 24750336 25210224 25558416 25702272 25910508 26019584 26268372 26416224 26503056 26907066 27239252 27336192 27426048 27844128 28387584 28480896 28617576 28711644 28738048 29272032 29718252 29815938 29878784 30085144 30291456 30753216 30854304 31027968 31456512 31711368 31889856 32194773 32330304 32931036 33613632 33845787 34077888 34269696 34547344 35024496 35221632 35337408 35675289 35876088 36122112 36371592 36872646 37125504 37815336 37974528 38156768 38282192 38865762 39029376 39402558 39624336 39754584 40858878 41004288 41139072 41766192 42281824 42519808 42926364 43067466 43107072 43908048 44818176 45127716 45437184 46129824 46281456 46541952 46699328 46962176 47116544 47567052 47834784 48495456 48888359 49163528 49500672 50420448 51116832 51404544 51821016 52039168 52536744 52832448 53006112 53814132 54478504 54852096 55308969 55688256 56775168 56961792 57235152 57423288 58298643 58544064 59103837 59436504 59631876 60170288 61288317 61506432 61708608 62055936 62913024 63422736 63779712 64389546 64601199 64660608 65862072 67227264 67691574 68155776 69094688 70048992 70443264 70674816 71350578 71752176 72743184 73745292 74251008 75630672 76313536 76564384 77731524 78058752 78805116 79248672 79509168 79890733 81717756 82008576 82278144 83532384 84563648 85039616 85852728 86134932 86214144 87816096 88527569 89636352 90255432 90874368 92259648 92562912 93083904 93398656 94233088 95134104 95669568 96584319 96990912 97776718 98327056 100840896 101537361 102233664 102809088 103642032 105073488 105664896 106012224 107025867 107628264 108957008 110617938 111376512 113923584 114470304 114846576 116597286 117088128 118207674 118873008 119263752 120340576 122576634 123012864 123417216 126845472 127559424 128779092 129202398 129321216 131724144 134454528 135383148 136311552 138189376 140097984 140886528 141349632 142701156 143504352 145486368 146665077 147490584 148502016 151261344 152627072 153128768 155463048 156117504 157610232 158497344 159018336 159781466 163435512 164556288 165926907 167064768 169127296 171705456 172269864 174895929 175632192 177055138 180510864 183864951 184519296 185125824 186167808 186797312 190268208 191339136 193168638 193803597 193981824 195553436 196654112 201681792 203074722 204467328 207284064 210146976 211329792 212024448 214051734 215256528 217914016 221235876 222753024 228940608 229693152 233194572 234176256 236415348 237746016 238527504 239672199 240681152 245153268 246025728 246834432 251963081 253690944 255118848 257558184 258404796 258642432 263448288 265582707 268909056 270766296 272623104 276378752 280195968 282699264 285402312 287008704 290972736 293330154 294981168 302522688 304612083 305254144 306257536 310926096 315220464 316994688 318036672 319562932 326871024 331853814 334129536 338254592 343410912 344539728 349791858 351264384 354110276 361021728 367729902 369038592 370251648 373594624 380536416 382678272 386337276 387607194 387963648 391106872 393308224 403363584 406149444 408934656 414568128 420293952 422659584 424048896 428103468 430513056 435828032 439995231 442471752 445506048 457881216 459386304 466389144 468352512 472830696 475492032 477055008 479344398 481362304 490306536 493668864 497780721 503926162 507381888 515116368 516809592 526896576 531165414 541532592 551594853 552757504 560391936 570804624 574017408 581945472 586660308 589962336 605045376 609224166 610508288 612515072 621852192 630440928 633989376 636073344 639125864 653742048 663707628 668259072 676509184 686821824 689079456 699583716 702528768 708220552 719016597 722043456 735459804 738077184 740503296 755889243 761072832 765356544 772674552 775214388 775927296 782213744 786616448 796748121 806727168 812298888 817869312 829136256 840587904 848097792 856206936 861026112 871656064 879990462 884943504 915762432 918772608 932778288 945661392 950984064 954110016 958688796 962724608 980613072 995561442 1007852324 1014763776 1030232736 1033619184 1053793152 1062330828 1083065184 1103189706 1105515008 1120783872 1141609248 1148034816 1163890944 1173320616 1179924672 1210090752 1218448332 1225030144 1243704384 1260881856 1267978752 1272146688 1278251728 1307484096 1319985693 1327415256 1336518144 1373643648 1378158912 1399167432 1405057536 1416441104 1438033194 1444086912 1470919608 1481006592 1511778486 1522145664 1545349104 1550428776 1564427488 1573232896 1593496242 1624597776 1658272512 1681175808 1712413872 1722052224 1743312128 1759980924 1769887008 1831524864 1837545216 1865556576 1891322784 1901968128 1908220032 1917377592 1925449216 1961226144 1991122884 2015704648 2029527552 2060465472 2067238368 2107586304 2124661656 2157049791 2166130368 2206379412 2267667729 2283218496 2296069632 2327781888 2346641232 2359849344 2390244363 2420181504 2436896664 2487408768 2521763712 2544293376 2556503456 2614968192 2639971386 2654830512 2747287296 2756317824 2798334864 2832882208 2876066388 2888173824 2941839216 3023556972 3044291328 3090698208 3100857552 3128854976 3146465792 3186992484 3249195552 3275520053 3316545024 3362351616 3424827744 3444104448 3486624256 3519961848 3539774016 3675090432 3731113152 3782645568 3803936256 3816440064 3834755184 3922452288 3959957079 3982245768 4031409296 4120930944 4134476736 4215172608 4249323312 4314099582 4332260736 4412758824 4535335458 4566436992 4693282464 4719698688 4780488726 4873793328 4974817536 5043527424 5113006912 5229936384 5279942772 5309661024 5494574592 5512635648 5596669728 5665764416 5752132776 5776347648 5883678432 6047113944 6088582656 6181396416 6201715104 6257709952 6373984968 6471149373 6498391104 6551040106 6803003187 6849655488 6888208896 7039923696 7079548032 7170733089 7462226304 7565291136 7632880128 7669510368 7844904576 7919914158 7964491536 8062818592 8241861888 8268953472 8498646624 8628199164 8664521472 8825517648 9070670916 9132873984 9386564928 9439397376 9560977452 9747586656 9826560159 9949635072 10087054848 10226013824 10459872768 10559885544 10619322048 11025271296 11193339456 11331528832 11504265552 11767356864 12094227888 12362792832 12403430208 12515419904 12747969936 12942298746 12996782208 13102080212 13606006374 13699310976 14079847392 14159096064 14341466178 14924452608 15130582272 15339020736 15689809152 15839828316 15928983072 16125637184 16483723776 16537906944 16997293248 17256398328 17329042944 17651035296 18141341832 18265747968 18773129856 19121954904 19495173312 19653120318 20409009561 20452027648 21119771088 21238644096 22386678912 22663057664 23008531104 23534713728 24188455776 24725585664 24806860416 25030839808 25495939872 25884597492 25993564416 26204160424 27212012748 27398621952 28159694784 28318192128 28682932356 29479680477 29848905216 30261164544 30678041472 31379618304 31679656632 31857966144 32251274368 33075813888 33994586496 34512796656 35302070592 36282683664 37546259712 38243909808 38990346624 39306240636 40818019122 40904055296 42239542176 42477288192 44773357824 45326115328 46017062208 47069427456 48376911552 49451171328 49613720832 50991879744 51769194984 51987128832 52408320848 54424025496 54797243904 56319389568 57365864712 58959360954 61356082944 63359313264 63715932288 64502548736 67989172992 69025593312 70604141184 72565367328 75092519424 76487819616 77980693248 78612481272 81636038244 84479084352 84954576384 88439041431 89546715648 92034124416 94138854912 96753823104 99227441664 101983759488 103538389968 104816641696 108848050992 112638779136 114731729424 117918721908 122712165888 126718626528 127431864576 129005097472 135978345984 138051186624 141208282368 145130734656 152975639232 155961386496 157224962544 163272076488 168958168704 176878082862 184068248832 193507646208 203967518976 207076779936 209633283392 217696101984 225277558272 229463458848 235837443816 253437253056 254863729152 265317124293 276102373248 282416564736 290261469312 305951278464 314449925088 326544152976 337916337408 353756165724 368136497664 387015292416 407935037952 414153559872 419266566784 435392203968 458926917696 471674887632 506874506112 530634248586 552204746496 580522938624 611902556928 628899850176 653088305952 675832674816 707512331448 828307119744 838533133568 870784407936 917853835392 943349775264 1013749012224 1061268497172 1104409492992 1161045877248 1223805113856 1257799700352 1306176611904 1415024662896 1656614239488 1677066267136 1741568815872 1835707670784 1886699550528 2027498024448 2122536994344 2515599400704 2612353223808 2830049325792 3313228478976 3483137631744 3671415341568 3773399101056 4245073988688 5031198801408 5224706447616 5660098651584 7546798202112 8490147977376 10449412895232 11320197303168 15093596404224 16980295954752 22640394606336 33960591909504 45280789212672 67921183819008 135842367638016
- Sum of all divisors σ(n): 466671690342396
- Sum of proper divisors (its aliquot sum) s(n): 330829322704380
- 135842367638016 is an abundant number, because the sum of its proper divisors (330829322704380) is greater than itself. Its abundance is 194986955066364
Bases of 135842367638016
- Binary: 111101110001100010001000001000110001010000000002
- Hexadecimal: 0x7B8C44118A00
- Base-36: 1C5H4ECG00
Squares and roots of 135842367638016
- 135842367638016 squared (1358423676380162) is 18453148845501896654808416256
- 135842367638016 cubed (1358423676380163) is 2506719429549699158390295291850564457988096
-
The
square root of 135842367638016 is 11655143.3984321273 -
The
cube root of 135842367638016 is 51405.7556422225
Scales and comparisons
How big is 135842367638016?- 135,842,367,638,016 seconds is equal to 4,319,367 years, 5 weeks, 2 days, 10 hours, 33 minutes, 36 seconds.
-
To count from 1 to 135,842,367,638,016 would take you about ten million, seven hundred ninety-eight thousand, four hundred seventeen 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 135842367638016 cubic inches would be around 4283.8 feet tall.
Recreational maths with 135842367638016
- 135842367638016 backwards is 610836763248531
- The number of decimal digits it has is: 15
- The sum of 135842367638016's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 135842367638016 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 135842367638016 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/135842367638016/
Chicago style:
Numbermatics. 2024. "Number 135842367638016 - Facts about the integer". https://numbermatics.com/n/135842367638016/
The information we have on file for 135842367638016 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 135842367638016, math, Factors of 135842367638016, curriculum, school, college, exams, university, Prime factorization of 135842367638016, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five trillion, eight hundred forty-two billion, three hundred sixty-seven million, six hundred thirty-eight thousand and sixteen.