138233163055955968
138,233,163,055,955,968 is an even composite number composed of five prime numbers multiplied together.
138233163055955968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred thirty-two divisors.
Prime factorization of 138233163055955968:
216 × 73 × 11 × 132 × 1493
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 11 × 13 × 13 × 149 × 149 × 149)See below for interesting mathematical facts about the number 138233163055955968 from the Numbermatics database.
Names of 138233163055955968
- Cardinal: 138233163055955968 can be written as One hundred thirty-eight quadrillion, two hundred thirty-three trillion, one hundred sixty-three billion, fifty-five million, nine hundred fifty-five thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38233163055955968 × 1017
Factors of 138233163055955968
Divisors of 138233163055955968
- Number of divisors d(n): 1632
-
Complete list of divisors:
1 2 4 7 8 11 13 14 16 22 26 28 32 44 49 52 56 64 77 88 91 98 104 112 128 143 149 154 169 176 182 196 208 224 256 286 298 308 338 343 352 364 392 416 448 512 539 572 596 616 637 676 686 704 728 784 832 896 1001 1024 1043 1078 1144 1183 1192 1232 1274 1352 1372 1408 1456 1568 1639 1664 1792 1859 1937 2002 2048 2086 2156 2288 2366 2384 2464 2548 2704 2744 2816 2912 3136 3278 3328 3584 3718 3773 3874 4004 4096 4172 4312 4459 4576 4732 4768 4928 5096 5408 5488 5632 5824 6272 6556 6656 7007 7168 7301 7436 7546 7748 8008 8192 8281 8344 8624 8918 9152 9464 9536 9856 10192 10816 10976 11264 11473 11648 12544 13013 13112 13312 13559 14014 14336 14602 14872 15092 15496 16016 16384 16562 16688 17248 17836 18304 18928 19072 19712 20384 21307 21632 21952 22201 22528 22946 23296 25088 25181 26026 26224 26624 27118 28028 28672 29204 29744 30184 30992 32032 32768 33124 33376 34496 35672 36608 37856 38144 39424 40768 42614 43264 43904 44402 45056 45892 46592 49049 50176 50362 51107 52052 52448 53248 54236 56056 57344 57967 58408 59488 60368 61984 64064 65536 66248 66752 68992 71344 73216 75712 76288 78848 80311 81536 85228 86528 87808 88804 90112 91091 91784 93184 94913 98098 100352 100724 102214 104104 104896 106496 108472 112112 114688 115934 116816 118976 120736 123968 128128 132496 133504 137984 142688 146432 149149 151424 152576 155407 157696 160622 163072 170456 173056 175616 176267 177608 180224 182182 183568 186368 189826 196196 200704 201448 204428 208208 209792 212992 216944 224224 229376 231868 233632 237952 241472 244211 247936 256256 264992 267008 275968 276991 285376 288613 292864 298298 302848 305152 310814 315392 321244 326144 340912 346112 351232 352534 355216 360448 364364 367136 372736 379652 392392 401408 402896 408856 416416 419584 425984 433888 448448 458752 463736 467264 475904 482944 488422 495872 512512 529984 534016 551936 553982 562177 570752 577226 585728 596596 605696 610304 621628 630784 637637 642488 652288 664391 681824 692224 702464 705068 710432 720896 728728 734272 745472 759304 784784 802816 805792 817712 832832 839168 851968 867776 896896 927472 934528 951808 965888 976844 991744 1025024 1044043 1059968 1068032 1087849 1103872 1107964 1124354 1141504 1154452 1171456 1193192 1211392 1220608 1233869 1243256 1261568 1275274 1284976 1304576 1328782 1363648 1384448 1404928 1410136 1420864 1457456 1468544 1490944 1518608 1569568 1605632 1611584 1635424 1665664 1678336 1709477 1735552 1793792 1854944 1869056 1903616 1931776 1938937 1953688 1983488 2020291 2050048 2088086 2119936 2136064 2175698 2207744 2215928 2248708 2283008 2308904 2342912 2386384 2422784 2441216 2467738 2486512 2523136 2550548 2569952 2609152 2657564 2727296 2768896 2809856 2820272 2841728 2914912 2937088 2981888 3037216 3139136 3174743 3211264 3223168 3270848 3307949 3331328 3356672 3418954 3471104 3587584 3709888 3738112 3751969 3807232 3863552 3877874 3907376 3966976 4040582 4100096 4176172 4239872 4272128 4351396 4415488 4431856 4497416 4566016 4617808 4685824 4772768 4845568 4882432 4935476 4973024 5046272 5101096 5139904 5218304 5315128 5454592 5537792 5619712 5640544 5683456 5829824 5874176 5963776 6074432 6278272 6349486 6446336 6541696 6615898 6662656 6713344 6837908 6942208 7175168 7308301 7419776 7476224 7503938 7614464 7614943 7727104 7755748 7814752 7933952 8081164 8200192 8352344 8479744 8544256 8637083 8702792 8830976 8863712 8994832 9132032 9235616 9371648 9545536 9691136 9764864 9870952 9946048 10202192 10279808 10436608 10630256 10909184 11075584 11239424 11281088 11366912 11659648 11748352 11966339 12148864 12556544 12698972 12892672 13083392 13231796 13325312 13426688 13572559 13675816 13884416 14142037 14350336 14616602 14839552 14952448 15007876 15228928 15229886 15454208 15511496 15629504 15867904 16162328 16400384 16704688 16959488 17088512 17274166 17405584 17661952 17727424 17989664 18264064 18471232 19091072 19382272 19741904 19892096 20404384 20559616 20873216 21260512 21818368 22223201 22478848 22562176 22733824 23155643 23319296 23496704 23932678 24297728 25113088 25397944 25785344 26166784 26263783 26463592 26650624 26853376 27145118 27351632 27768832 28284074 28700672 29233204 29679104 29904896 30015752 30457856 30459772 30908416 31022992 31259008 31735808 32324656 32800768 33409376 33918976 34177024 34548332 34811168 35323904 35454848 35979328 36387439 36528128 36942464 38182144 38764544 39483808 39784192 40808768 41119232 41271659 41746432 42521024 43003337 43636736 44446402 45124352 45467648 46311286 46638592 46993408 47865356 48595456 50226176 50795888 51570688 52333568 52527566 52927184 53301248 53706752 54290236 54703264 55537664 56568148 57401344 58466408 59358208 59809792 60031504 60915712 60919544 61816832 62045984 62518016 63471616 64649312 65601536 66818752 67837952 68354048 69096664 69622336 70909696 71958656 72774878 73056256 73884928 76364288 77529088 78967616 79568384 81617536 82238464 82543318 83764373 85042048 86006674 87273472 88892804 90248704 90935296 92622572 93277184 93986816 95007913 95730712 97190912 98994259 100452352 101591776 103141376 104667136 105055132 105854368 106602496 107413504 108580472 109406528 111075328 113136296 114802688 116932816 118716416 119619584 120063008 121831424 121839088 123633664 124091968 125036032 126943232 129298624 133637504 135675904 138193328 139244672 141819392 143917312 145549756 146112512 147769856 152728576 155562407 157935232 159136768 162089501 163235072 164476928 165086636 167528746 170084096 172013348 174546944 177785608 180497408 181870592 183846481 185245144 186554368 187973632 190015826 191461424 194381824 197988518 200904704 203183552 206282752 209334272 210110264 211708736 213204992 217160944 218813056 222150656 226272592 229605376 233865632 237432832 239239168 240126016 243678176 247267328 248183936 250072064 254712073 258597248 267275008 271351808 276386656 278489344 283638784 287834624 288901613 291099512 292225024 295539712 301023359 305457152 311124814 315870464 318273536 324179002 326470144 328953856 330173272 335057492 340168192 344026696 349093888 355571216 360994816 363741184 367692962 370490288 373108736 375947264 380031652 382922848 388763648 395977036 401809408 406367104 412565504 418668544 420220528 423417472 426409984 434321888 437626112 444301312 452545184 459210752 467731264 473036707 474865664 478478336 480252032 487356352 496367872 500144128 509424146 517194496 534550016 542703616 552773312 556978688 559043381 567277568 575669248 577803226 582199024 591079424 602046718 610914304 622249628 631740928 636547072 648358004 652940288 657907712 660346544 670114984 680336384 688053392 698187776 711142432 721989632 727482368 735385924 740980576 746217472 751894528 760063304 765845696 777527296 791954072 803618816 812734208 825131008 837337088 840441056 846834944 852819968 868643776 875252224 888602624 905090368 935462528 946073414 949731328 960504064 974712704 992735744 1000288256 1018848292 1034388992 1069100032 1088936849 1105546624 1113957376 1118086762 1134555136 1134626507 1151338496 1155606452 1164398048 1182158848 1204093436 1221828608 1244499256 1263481856 1273094144 1286925367 1296716008 1305880576 1315815424 1320693088 1340229968 1360672768 1376106784 1396375552 1422284864 1443979264 1454964736 1470771848 1481961152 1492434944 1520126608 1531691392 1555054592 1583908144 1607237632 1625468416 1650262016 1674674176 1680882112 1693669888 1737287552 1750504448 1782984511 1810180736 1870925056 1892146828 1899462656 1921008128 1949425408 1985471488 2000576512 2022311291 2037696584 2068777984 2107163513 2138200064 2177873698 2211093248 2227914752 2236173524 2269110272 2269253014 2302676992 2311212904 2328796096 2364317696 2408186872 2443657216 2488998512 2526963712 2546188288 2573850734 2593432016 2611761152 2631630848 2641386176 2680459936 2721345536 2752213568 2844569728 2887958528 2941543696 2963922304 2984869888 3040253216 3063382784 3110109184 3167816288 3214475264 3250936832 3311256949 3349348352 3361764224 3387339776 3474575104 3501008896 3565969022 3620361472 3741850112 3784293656 3798925312 3842016256 3898850816 3913303667 3970942976 4001153024 4044622582 4075393168 4137555968 4214327026 4276400128 4355747396 4422186496 4455829504 4472347048 4538220544 4538506028 4605353984 4622425808 4657592192 4728635392 4816373744 4887314432 4977997024 5053927424 5092376576 5147701468 5186864032 5223522304 5263261696 5282772352 5360919872 5442691072 5504427136 5689139456 5775917056 5883087392 5927844608 5969739776 6080506432 6126765568 6149477191 6220218368 6335632576 6501873664 6622513898 6723528448 6774679552 6949150208 7002017792 7131938044 7240722944 7483700224 7568587312 7684032512 7797701632 7826607334 7941885952 8002306048 8089245164 8150786336 8275111936 8428654052 8552800256 8711494792 8844372992 8911659008 8944694096 9076441088 9077012056 9210707968 9244851616 9315184384 9457270784 9632747488 9774628864 9955994048 10107854848 10184753152 10295402936 10373728064 10447044608 10565544704 10721839744 10885382144 11008854272 11378278912 11551834112 11766174784 11855689216 12161012864 12253531136 12298954382 12480891577 12671265152 13003747328 13245027796 13447056896 13549359104 13898300416 14004035584 14156179037 14263876088 14481445888 14750144591 14967400448 15137174624 15368065024 15595403264 15653214668 15883771904 16004612096 16178490328 16301572672 16550223872 16857308104 17105600512 17422989584 17688745984 17823318016 17889388192 18152882176 18154024112 18421415936 18489703232 18630368768 18914541568 19265494976 19911988096 20215709696 20590805872 20747456128 20894089216 21131089408 21443679488 21770764288 22017708544 22756557824 23178798643 23532349568 23711378432 24322025728 24507062272 24597908764 24961783154 25342530304 26007494656 26490055592 26894113792 27098718208 27393125669 27796600832 28008071168 28312358074 28527752176 28962891776 29500289182 29934800896 30274349248 30736130048 31190806528 31306429336 31767543808 32356980656 32603145344 33100447744 33714616208 34211201024 34845979168 35377491968 35646636032 35778776384 36308048224 36842831872 36979406464 37260737536 38530989952 39823976192 40431419392 41181611744 41494912256 41788178432 42262178816 42887358976 43046340337 43541528576 44035417088 45513115648 46357597286 47064699136 47422756864 48644051456 49014124544 49195817528 49923566308 50685060608 52014989312 52980111184 53788227584 54197436416 54786251338 55593201664 56016142336 56624716148 57055504352 57925783552 59000578364 59869601792 60548698496 61472260096 62381613056 62612858672 63535087616 64713961312 65206290688 66200895488 67429232416 68422402048 69691958336 70754983936 71293272064 71557552768 72616096448 73958812928 74521475072 77061979904 79647952384 80862838784 82363223488 82989824512 84524357632 85774717952 86092680674 88070834176 91026231296 92715194572 94129398272 94845513728 97288102912 98028249088 98391635056 99847132616 101370121216 104029978624 105960222368 107576455168 108394872832 109572502676 111186403328 112032284672 113249432296 114111008704 115851567104 118001156728 119739203584 121097396992 122944520192 124763226112 125225717344 127070175232 129427922624 130412581376 132401790976 134858464832 139383916672 141509967872 143115105536 145232192896 147917625856 149042950144 154123959808 159295904768 162251590501 164726446976 165979649024 169048715264 171549435904 172185361348 176141668352 182052462592 185430389144 188258796544 189691027456 191751879683 194576205824 196056498176 196783270112 199694265232 202740242432 208059957248 211920444736 215152910336 216789745664 219145005352 222372806656 226498864592 228222017408 231703134208 236002313456 239478407168 242194793984 245889040384 249526452224 250451434688 258855845248 260825162752 269716929664 278767833344 283019935744 286230211072 290464385792 295835251712 298085900288 301324382359 308247919616 318591809536 324503181002 329452893952 331959298048 338097430528 343098871808 344370722696 352283336704 364104925184 370860778288 376517593088 379382054912 383503759366 389152411648 392112996352 393566540224 399388530464 405480484864 423840889472 430305820672 438290010704 444745613312 452997729184 456444034816 463406268416 472004626912 478956814336 484389587968 499052904448 500902869376 517711690496 521650325504 539433859328 557535666688 566039871488 572460422144 580928771584 591670503424 596171800576 602648764718 616495839232 637183619072 649006362004 658905787904 663918596096 676194861056 686197743616 688741445392 704566673408 728209850368 741721556576 753035186176 758764109824 767007518732 778304823296 784225992704 787133080448 798777060928 810960969728 847681778944 860611641344 876580021408 889491226624 905995458368 912888069632 926812536832 944009253824 968779175936 1001805738752 1035423380992 1043300651008 1078867718656 1115071333376 1144920844288 1161857543168 1183341006848 1192343601152 1205297529436 1232991678464 1274367238144 1298012724008 1317811575808 1327837192192 1352389722112 1372395487232 1377482890784 1409133346816 1456419700736 1483443113152 1506070372352 1517528219648 1534015037464 1556609646592 1574266160896 1597554121856 1621921939456 1695363557888 1721223282688 1753160042816 1811990916736 1825776139264 1888018507648 1937558351872 2003611477504 2070846761984 2086601302016 2109270676513 2157735437312 2230142666752 2289841688576 2323715086336 2366682013696 2384687202304 2410595058872 2465983356928 2548734476288 2596025448016 2635623151616 2655674384384 2704779444224 2744790974464 2754965781568 2818266693632 2966886226304 3012140744704 3068030074928 3113219293184 3148532321792 3195108243712 3243843878912 3390727115776 3506320085632 3623981833472 3651552278528 3776037015296 3875116703744 4007222955008 4141693523968 4173202604032 4218541353026 4315470874624 4460285333504 4579683377152 4647430172672 4733364027392 4821190117744 4931966713856 5097468952576 5192050896032 5271246303232 5311348768768 5489581948928 5509931563136 5933772452608 6024281489408 6136060149856 6226438586368 6297064643584 6390216487424 6487687757824 6781454231552 7012640171264 7247963666944 7303104557056 7552074030592 7750233407488 8014445910016 8283387047936 8346405208064 8437082706052 8630941749248 8920570667008 9159366754304 9294860345344 9466728054784 9642380235488 9863933427712 10194937905152 10384101792064 10542492606464 10622697537536 11019863126272 11867544905216 12048562978816 12272120299712 12594129287168 12780432974848 13562908463104 14025280342528 14495927333888 14606209114112 15104148061184 15500466814976 16028891820032 16566774095872 16692810416128 16874165412104 17261883498496 17841141334016 18318733508608 18589720690688 18933456109568 19284760470976 19727866855424 20768203584128 21084985212928 22039726252544 23735089810432 24544240599424 25188258574336 25560865949696 27125816926208 28050560685056 28991854667776 29212418228224 30208296122368 31000933629952 32057783640064 33133548191744 33748330824208 34523766996992 35682282668032 36637467017216 37179441381376 38569520941952 41536407168256 42169970425856 44079452505088 47470179620864 49088481198848 50376517148672 51121731899392 54251633852416 56101121370112 57983709335552 58424836456448 60416592244736 64115567280128 66267096383488 67496661648416 69047533993984 71364565336064 74358882762752 77139041883904 83072814336512 84339940851712 88158905010176 94940359241728 98176962397696 100753034297344 102243463798784 108503267704832 112202242740224 115967418671104 116849672912896 120833184489472 128231134560256 132534192766976 134993323296832 138095067987968 154278083767808 166145628673024 176317810020352 189880718483456 196353924795392 201506068594688 204486927597568 217006535409664 224404485480448 231934837342208 241666368978944 256462269120512 269986646593664 308556167535616 332291257346048 352635620040704 379761436966912 392707849590784 403012137189376 408973855195136 448808970960896 463869674684416 483332737957888 539973293187328 617112335071232 664582514692096 705271240081408 759522873933824 785415699181568 817947710390272 897617941921792 927739349368832 966665475915776 1079946586374656 1234224670142464 1329165029384192 1410542480162816 1519045747867648 1570831398363136 1795235883843584 2159893172749312 2468449340284928 2658330058768384 2821084960325632 3141662796726272 4319786345498624 4936898680569856 5316660117536768 6283325593452544 8639572690997248 9873797361139712 10633320235073536 12566651186905088 17279145381994496 19747594722279424 34558290763988992 69116581527977984 138233163055955968
- Sum of all divisors σ(n): 383426651941920000
- Sum of proper divisors (its aliquot sum) s(n): 245193488885964032
- 138233163055955968 is an abundant number, because the sum of its proper divisors (245193488885964032) is greater than itself. Its abundance is 106960325830008064
Bases of 138233163055955968
- Binary: 1111010110001101001010100010101000010000100000000000000002
- Hexadecimal: 0x1EB1A5454210000
- Base-36: 11T3KEFL0FLS
Squares and roots of 138233163055955968
- 138233163055955968 squared (1382331630559559682) is 19108407368454509893864638354817024
- 138233163055955968 cubed (1382331630559559683) is 2641415591503202755483908018714246613880626040799232
-
The
square root of 138233163055955968 is 371797206.8963885695 -
The
cube root of 138233163055955968 is 517055.8013065763
Scales and comparisons
How big is 138233163055955968?- 138,233,163,055,955,968 seconds is equal to 4,395,387,001 years, 48 weeks, 3 days, 4 hours, 39 minutes, 28 seconds.
-
To count from 1 to 138,233,163,055,955,968 would take you about thirteen billion, one hundred eighty-six million, one hundred sixty-one thousand and 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 138233163055955968 cubic inches would be around 43088 feet tall.
Recreational maths with 138233163055955968
- 138233163055955968 backwards is 869559550361332831
- The number of decimal digits it has is: 18
- The sum of 138233163055955968's digits is 82
- More coming soon!
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"Number 138233163055955968 - Facts about the integer". Numbermatics.com. 2024. Web. 1 June 2024.
APA style:
Numbermatics. (2024). Number 138233163055955968 - Facts about the integer. Retrieved 1 June 2024, from https://numbermatics.com/n/138233163055955968/
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Numbermatics. 2024. "Number 138233163055955968 - Facts about the integer". https://numbermatics.com/n/138233163055955968/
The information we have on file for 138233163055955968 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 138233163055955968, math, Factors of 138233163055955968, curriculum, school, college, exams, university, Prime factorization of 138233163055955968, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, two hundred thirty-three trillion, one hundred sixty-three billion, fifty-five million, nine hundred fifty-five thousand, nine hundred sixty-eight.