138130701264759705600
138,130,701,264,759,705,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 138130701264759705600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1404 divisors.
138130701264759705600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred four divisors.
Prime factorization of 138130701264759705600:
212 × 3 × 52 × 7 × 172 × 4714512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 17 × 17 × 471451 × 471451)See below for interesting mathematical facts about the number 138130701264759705600 from the Numbermatics database.
Names of 138130701264759705600
- Cardinal: 138130701264759705600 can be written as One hundred thirty-eight quintillion, one hundred thirty quadrillion, seven hundred one trillion, two hundred sixty-four billion, seven hundred fifty-nine million, seven hundred five thousand, six hundred.
Scientific notation
- Scientific notation: 1.381307012647597056 × 1020
Factors of 138130701264759705600
Divisors of 138130701264759705600
- Number of divisors d(n): 1404
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 48 50 51 56 60 64 68 70 75 80 84 85 96 100 102 105 112 119 120 128 136 140 150 160 168 170 175 192 200 204 210 224 238 240 255 256 272 280 289 300 320 336 340 350 357 384 400 408 420 425 448 476 480 510 512 525 544 560 578 595 600 640 672 680 700 714 768 800 816 840 850 867 896 952 960 1020 1024 1050 1088 1120 1156 1190 1200 1275 1280 1344 1360 1400 1428 1445 1536 1600 1632 1680 1700 1734 1785 1792 1904 1920 2023 2040 2048 2100 2176 2240 2312 2380 2400 2550 2560 2688 2720 2800 2856 2890 2975 3072 3200 3264 3360 3400 3468 3570 3584 3808 3840 4046 4080 4096 4200 4335 4352 4480 4624 4760 4800 5100 5120 5376 5440 5600 5712 5780 5950 6069 6144 6400 6528 6720 6800 6936 7140 7168 7225 7616 7680 8092 8160 8400 8670 8704 8925 8960 9248 9520 9600 10115 10200 10240 10752 10880 11200 11424 11560 11900 12138 12288 12800 13056 13440 13600 13872 14280 14336 14450 15232 15360 16184 16320 16800 17340 17408 17850 17920 18496 19040 19200 20230 20400 20480 21504 21675 21760 22400 22848 23120 23800 24276 25600 26112 26880 27200 27744 28560 28672 28900 30345 30464 30720 32368 32640 33600 34680 34816 35700 35840 36992 38080 38400 40460 40800 43008 43350 43520 44800 45696 46240 47600 48552 50575 51200 52224 53760 54400 55488 57120 57800 60690 60928 61440 64736 65280 67200 69360 69632 71400 71680 73984 76160 76800 80920 81600 86016 86700 87040 89600 91392 92480 95200 97104 101150 102400 104448 107520 108800 110976 114240 115600 121380 121856 129472 130560 134400 138720 142800 143360 147968 151725 152320 153600 161840 163200 173400 174080 179200 182784 184960 190400 194208 202300 208896 215040 217600 221952 228480 231200 242760 243712 258944 261120 268800 277440 285600 295936 303450 304640 307200 323680 326400 346800 348160 358400 365568 369920 380800 388416 404600 430080 435200 443904 456960 462400 471451 485520 487424 517888 522240 537600 554880 571200 591872 606900 609280 647360 652800 693600 716800 731136 739840 761600 776832 809200 870400 887808 913920 924800 942902 971040 1035776 1044480 1075200 1109760 1142400 1183744 1213800 1218560 1294720 1305600 1387200 1414353 1462272 1479680 1523200 1553664 1618400 1740800 1775616 1827840 1849600 1885804 1942080 2071552 2150400 2219520 2284800 2357255 2427600 2437120 2589440 2611200 2774400 2828706 2959360 3046400 3107328 3236800 3300157 3551232 3655680 3699200 3771608 3884160 4143104 4439040 4569600 4714510 4855200 5178880 5222400 5548800 5657412 5918720 6092800 6214656 6473600 6600314 7071765 7311360 7398400 7543216 7768320 8014667 8286208 8878080 9139200 9429020 9710400 9900471 10357760 11097600 11314824 11786275 12185600 12429312 12947200 13200628 14143530 14796800 15086432 15536640 16029334 16500785 17756160 18278400 18858040 19420800 19800942 20715520 22195200 22629648 23572550 24044001 24858624 25894400 26401256 28287060 29593600 30172864 31073280 32058668 33001570 35358825 36556800 37716080 38841600 39601884 40073335 41431040 44390400 45259296 47145100 48088002 49502355 51788800 52802512 56102669 56574120 60345728 62146560 64117336 66003140 70717650 75432160 77683200 79203768 80146670 82503925 88780800 90518592 94290200 96176004 99004710 103577600 105605024 112205338 113148240 120220005 120691456 124293120 128234672 132006280 136249339 141435300 150864320 155366400 158407536 160293340 165007850 168308007 181037184 188580400 192352008 198009420 200366675 207155200 211210048 224410676 226296480 240440010 241382912 247511775 256469344 264012560 272498678 280513345 282870600 301728640 310732800 316815072 320586680 330015700 336616014 362074368 377160800 384704016 396018840 400733350 408748017 422420096 448821352 452592960 480880020 482765824 495023550 512938688 528025120 544997356 561026690 565741200 601100025 603457280 621465600 633630144 641173360 660031400 673232028 681246695 724148736 754321600 769408032 792037680 801466700 817496034 841540035 844840192 897642704 905185920 953745373 961760040 965531648 990047100 1025877376 1056050240 1089994712 1122053380 1131482400 1202200050 1206914560 1267260288 1282346720 1320062800 1346464056 1362493390 1402566725 1448297472 1508643200 1538816064 1584075360 1602933400 1634992068 1683080070 1689680384 1795285408 1810371840 1907490746 1923520080 1931063296 1980094200 2043740085 2051754752 2112100480 2179989424 2244106760 2262964800 2404400100 2413829120 2534520576 2564693440 2640125600 2692928112 2724986780 2805133450 2861236119 2896594944 3017286400 3077632128 3168150720 3205866800 3269984136 3366160140 3379360768 3406233475 3590570816 3620743680 3814981492 3847040160 3960188400 4087480170 4103509504 4207700175 4224200960 4359978848 4488213520 4525929600 4768726865 4808800200 4827658240 5069041152 5129386880 5280251200 5385856224 5449973560 5610266900 5722472238 5793189888 6034572800 6155264256 6336301440 6411733600 6539968272 6732320280 6758721536 6812466950 7181141632 7241487360 7629962984 7694080320 7920376800 8174960340 8207019008 8415400350 8448401920 8719957696 8976427040 9051859200 9537453730 9617600400 9655316480 10138082304 10218700425 10258773760 10560502400 10771712448 10899947120 11220533800 11444944476 12069145600 12310528512 12672602880 12823467200 13079936544 13464640560 13517443072 13624933900 14306180595 14362283264 14482974720 15259925968 15388160640 15840753600 16349920680 16414038016 16830800700 16896803840 17439915392 17952854080 18103718400 19074907460 19235200800 20276164608 20437400850 20517547520 21121004800 21543424896 21799894240 22441067600 22889888952 23843634325 24138291200 24621057024 25345205760 25646934400 26159873088 26929281120 27249867800 28612361190 28724566528 28965949440 30519851936 30776321280 31681507200 32699841360 32828076032 33661601400 33793607680 34879830784 35905708160 36207436800 38149814920 38470401600 40552329216 40874801700 41035095040 42242009600 43086849792 43599788480 44882135200 45779777904 47687268650 48276582400 49242114048 50690411520 51293868800 52319746176 53858562240 54499735600 57224722380 57449133056 61039703872 61552642560 63363014400 65399682720 67323202800 67587215360 69759661568 71530902975 71811416320 72414873600 76299629840 76940803200 81749603400 82070190080 84484019200 86173699584 87199576960 89764270400 91559555808 95374537300 98484228096 101380823040 102587737600 104639492352 107717124480 108999471200 114449444760 114898266112 122079407744 123105285120 126726028800 130799365440 134646405600 139519323136 143061805950 143622832640 144829747200 152599259680 153881606400 163499206800 164140380160 168968038400 172347399168 174399153920 179528540800 183119111616 190749074600 202761646080 205175475200 209278984704 215434248960 217998942400 222266045401 228898889520 229796532224 244158815488 246210570240 253452057600 261598730880 269292811200 279038646272 286123611900 287245665280 305198519360 307763212800 326998413600 337936076800 344694798336 348798307840 359057081600 366238223232 381498149200 410350950400 418557969408 430868497920 435997884800 444532090802 457797779040 488317630976 492421140480 506904115200 523197461760 538585622400 558077292544 572247223800 574491330560 610397038720 615526425600 653996827200 666798136203 689389596672 697596615680 718114163200 732476446464 762996298400 820701900800 837115938816 861736995840 871995769600 889064181604 915595558080 976635261952 1013808230400 1046394923520 1077171244800 1111330227005 1144494447600 1148982661120 1220794077440 1231052851200 1307993654400 1333596272406 1395193231360 1436228326400 1464952892928 1525992596800 1555862317807 1674231877632 1723473991680 1743991539200 1778128363208 1831191116160 1953270523904 2092789847040 2154342489600 2222660454010 2288988895200 2441588154880 2462105702400 2615987308800 2667192544812 2790386462720 2872456652800 2929905785856 3051985193600 3111724635614 3333990681015 3446947983360 3487983078400 3556256726416 3662382232320 3778522771817 3906541047808 4185579694080 4308684979200 4445320908020 4577977790400 4667586953421 4883176309760 5231974617600 5334385089624 5556651135025 5744913305600 5859811571712 6103970387200 6223449271228 6667981362030 6975966156800 7112513452832 7324764464640 7557045543634 7779311589035 8371159388160 8617369958400 8890641816040 9155955580800 9335173906842 9766352619520 10463949235200 10668770179248 11113302270050 11335568315451 11719623143424 12207940774400 12446898542456 13335962724060 13951932313600 14225026905664 14649528929280 15114091087268 15558623178070 16669953405075 17234739916800 17781283632080 18311911161600 18670347813684 18892613859085 19532705239040 20927898470400 21337540358496 22226604540100 22671136630902 23337934767105 24415881548800 24893797084912 26449659402719 26671925448120 28450053811328 29299057858560 30228182174536 31117246356140 33339906810150 35562567264160 36623822323200 37340695627368 37785227718170 38896557945175 41855796940800 42675080716992 44453209080200 45342273261804 46675869534210 48831763097600 49787594169824 52899318805438 53343850896240 56677841577255 56900107622656 58598115717120 60456364349072 62234492712280 64234887120889 66679813620300 71125134528320 73247644646400 74681391254736 75570455436340 77793115890350 79348978208157 85350161433984 88906418160400 90684546523608 93351739068420 94463069295425 97663526195200 99575188339648 105798637610876 106687701792480 113355683154510 113800215245312 116689673835525 120912728698144 124468985424560 128469774241778 132248297013595 133359627240600 142250269056640 146495289292800 149362782509472 151140910872680 155586231780700 158697956416314 170700322867968 177812836320800 181369093047216 186703478136840 188926138590850 192704661362667 199150376679296 211597275221752 213375403584960 226711366309020 227600430490624 233379347671050 241825457396288 248937970849120 256939548483556 264496594027190 266719254481200 283389207886275 284500538113280 292990578585600 298725565018944 302281821745360 311172463561400 317395912832628 321174435604445 341400645735936 355625672641600 362738186094432 373406956273680 377852277181700 385409322725334 396744891040785 398300753358592 423194550443504 426750807169920 449644209846223 453422732618040 455200860981248 466758695342100 483650914792576 497875941698240 513879096967112 528993188054380 533438508962400 566778415772550 569001076226560 597451130037888 604563643490720 622344927122800 634791825665256 642348871208890 661241485067975 682801291471872 711251345283200 725476372188864 746813912547360 755704554363400 770818645450668 793489782081570 796601506717184 846389100887008 853501614339840 899288419692446 906845465236080 910401721962496 933517390684200 963523306813335 967301829585152 995751883396480 1027758193934224 1057986376108760 1066877017924800 1133556831545100 1138002152453120 1194902260075776 1209127286981440 1244689854245600 1269583651330512 1284697742417780 1322482970135950 1348932629538669 1365602582943744 1422502690566400 1450952744377728 1493627825094720 1511409108726800 1541637290901336 1586979564163140 1593203013434368 1605872178022225 1692778201774016 1707003228679680 1798576839384892 1813690930472160 1867034781368400 1927046613626670 1934603659170304 1983724455203925 1991503766792960 2055516387868448 2115972752217520 2133754035849600 2248221049231115 2267113663090200 2276004304906240 2389804520151552 2418254573962880 2489379708491200 2539167302661024 2569395484835560 2644965940271900 2697865259077338 2731205165887488 2845005381132800 2901905488755456 2987255650189440 3022818217453600 3083274581802672 3173959128326280 3186406026868736 3211744356044450 3385556403548032 3414006457359360 3597153678769784 3627381860944320 3734069562736800 3854093227253340 3869207318340608 3967448910407850 3983007533585920 4111032775736896 4231945504435040 4267508071699200 4496442098462230 4534227326180400 4552008609812480 4779609040303104 4817616534066675 4836509147925760 4978759416982400 5078334605322048 5138790969671120 5289931880543800 5395730518154676 5690010762265600 5803810977510912 5974511300378880 6045636434907200 6166549163605344 6347918256652560 6372812053737472 6423488712088900 6744663147693345 6771112807096064 6828012914718720 7194307357539568 7254763721888640 7468139125473600 7708186454506680 7738414636681216 7934897820815700 7966015067171840 8222065551473792 8463891008870080 8535016143398400 8992884196924460 9068454652360800 9559218080606208 9635233068133350 9673018295851520 9957518833964800 10156669210644096 10277581939342240 10579863761087600 10791461036309352 11241105246155575 11380021524531200 11607621955021824 11949022600757760 12091272869814400 12333098327210688 12695836513305120 12846977424177800 13489326295386690 13542225614192128 13656025829437440 14388614715079136 14509527443777280 14936278250947200 15416372909013360 15476829273362432 15869795641631400 15932030134343680 16444131102947584 16927782017740160 17070032286796800 17985768393848920 18136909304721600 19118436161212416 19270466136266700 19346036591703040 19915037667929600 20313338421288192 20555163878684480 21159727522175200 21582922072618704 22482210492311150 22760043049062400 23215243910043648 23898045201515520 24182545739628800 24666196654421376 25391673026610240 25693954848355600 26978652590773380 27084451228384256 28777229430158272 29019054887554560 29872556501894400 30832745818026720 31739591283262800 31864060268687360 32888262205895168 33723315738466725 33855564035480320 34140064573593600 35971536787697840 36273818609443200 38540932272533400 38692073183406080 39830075335859200 40626676842576384 41110327757368960 42319455044350400 43165844145237408 44964420984622300 46430487820087296 47796090403031040 48365091479257600 49332393308842752 50783346053220480 51387909696711200 53957305181546760 54168902456768512 57554458860316544 58038109775109120 59745113003788800 61665491636053440 63479182566525600 65776524411790336 67446631476933450 67711128070960640 68280129147187200 71943073575395680 72547637218886400 77081864545066800 77384146366812160 79660150671718400 81253353685152768 82220655514737920 84638910088700800 86331688290474816 89928841969244600 95592180806062080 96730182958515200 98664786617685504 101566692106440960 102775819393422400 107914610363093520 108337804913537024 115108917720633088 116076219550218240 119490226007577600 123330983272106880 126958365133051200 131553048823580672 134893262953866900 135422256141921280 143886147150791360 145095274437772800 154163729090133600 159320301343436800 162506707370305536 164441311029475840 169277820177401600 172663376580949632 179857683938489200 193460365917030400 197329573235371008 203133384212881920 205551638786844800 215829220726187040 230217835441266176 232152439100436480 238980452015155200 246661966544213760 253916730266102400 263106097647161344 269786525907733800 270844512283842560 287772294301582720 290190548875545600 308327458180267200 325013414740611072 328882622058951680 338555640354803200 345326753161899264 359715367876978400 386920731834060800 394659146470742016 406266768425763840 411103277573689600 431658441452374080 460435670882532352 477960904030310400 493323933088427520 507833460532204800 539573051815467600 541689024567685120 575544588603165440 580381097751091200 616654916360534400 657765244117903360 677111280709606400 690653506323798528 719430735753956800 789318292941484032 812533536851527680 822206555147379200 863316882904748160 920871341765064704 986647866176855040 1015666921064409600 1079146103630935200 1151089177206330880 1160762195502182400 1233309832721068800 1315530488235806720 1354222561419212800 1381307012647597056 1438861471507913600 1625067073703055360 1644413110294758400 1726633765809496320 1841742683530129408 1973295732353710080 2031333842128819200 2158292207261870400 2302178354412661760 2466619665442137600 2708445122838425600 2762614025295194112 2877722943015827200 3288826220589516800 3453267531618992640 3946591464707420160 4062667684257638400 4316584414523740800 4604356708825323520 4933239330884275200 5525228050590388224 5755445886031654400 6577652441179033600 6906535063237985280 8125335368515276800 8633168829047481600 9208713417650647040 9866478661768550400 11510891772063308800 13813070126475970560 17266337658094963200 19732957323537100800 23021783544126617600 27626140252951941120 34532675316189926400 46043567088253235200 69065350632379852800 138130701264759705600
- Sum of all divisors σ(n): 554448250282559942112
- Sum of proper divisors (its aliquot sum) s(n): 416317549017800236512
- 138130701264759705600 is an abundant number, because the sum of its proper divisors (416317549017800236512) is greater than itself. Its abundance is 278186847753040530912
Bases of 138130701264759705600
- Binary: 11101111100111100101101010011110011110101011001101001010000000000002
- Hexadecimal: 0x77CF2D4F3D59A5000
- Base-36: T5GA70NTEU6TC
Squares and roots of 138130701264759705600
- 138130701264759705600 squared (1381307012647597056002) is 19080090631894288532260952909398671360000
- 138130701264759705600 cubed (1381307012647597056003) is 2635546299178730211379116342426093958093279062304751616000000
-
The
square root of 138130701264759705600 is 11752901823.1566839545 -
The
cube root of 138130701264759705600 is 5169280.1827339123
Scales and comparisons
How big is 138130701264759705600?- 138,130,701,264,759,705,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,130,701,264,759,705,600 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 138130701264759705600 cubic inches would be around 430773.3 feet tall.
Recreational maths with 138130701264759705600
- 138130701264759705600 backwards is 006507957462107031831
- 138130701264759705600 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138130701264759705600's digits is 75
- More coming soon!
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"Number 138130701264759705600 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 138130701264759705600 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/138130701264759705600/
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Numbermatics. 2024. "Number 138130701264759705600 - Facts about the integer". https://numbermatics.com/n/138130701264759705600/
The information we have on file for 138130701264759705600 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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