138297723609962700
138,297,723,609,962,700 is an even composite number composed of five prime numbers multiplied together.
What does the number 138297723609962700 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
138297723609962700 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138297723609962700:
22 × 37 × 52 × 74 × 6413
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 641 × 641 × 641)See below for interesting mathematical facts about the number 138297723609962700 from the Numbermatics database.
Names of 138297723609962700
- Cardinal: 138297723609962700 can be written as One hundred thirty-eight quadrillion, two hundred ninety-seven trillion, seven hundred twenty-three billion, six hundred nine million, nine hundred sixty-two thousand, seven hundred.
Scientific notation
- Scientific notation: 1.382977236099627 × 1017
Factors of 138297723609962700
Divisors of 138297723609962700
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 49 50 54 60 63 70 75 81 84 90 98 100 105 108 126 135 140 147 150 162 175 180 189 196 210 225 243 245 252 270 294 300 315 324 343 350 378 405 420 441 450 486 490 525 540 567 588 630 641 675 686 700 729 735 756 810 882 900 945 972 980 1029 1050 1134 1215 1225 1260 1282 1323 1350 1372 1458 1470 1575 1620 1701 1715 1764 1890 1923 2025 2058 2100 2187 2205 2268 2401 2430 2450 2564 2646 2700 2835 2916 2940 3087 3150 3205 3402 3430 3645 3675 3780 3846 3969 4050 4116 4374 4410 4487 4725 4802 4860 4900 5103 5145 5292 5670 5769 6075 6174 6300 6410 6615 6804 6860 7203 7290 7350 7692 7938 8100 8505 8575 8748 8820 8974 9261 9450 9604 9615 10206 10290 10935 11025 11340 11538 11907 12005 12150 12348 12820 13230 13461 14175 14406 14580 14700 15309 15435 15876 16025 17010 17150 17307 17948 18225 18522 18900 19230 19845 20412 20580 21609 21870 22050 22435 23076 23814 24010 24300 25515 25725 26460 26922 27783 28350 28812 28845 30618 30870 31409 32050 33075 34020 34300 34614 35721 36015 36450 37044 38460 39690 40383 42525 43218 43740 44100 44870 46305 47628 48020 48075 51030 51450 51921 53844 54675 55566 56700 57690 59535 60025 61236 61740 62818 64100 64827 66150 67305 69228 71442 72030 72900 76545 77175 79380 80766 83349 85050 86436 86535 89740 92610 94227 96150 99225 102060 102900 103842 107163 108045 109350 111132 112175 115380 119070 120050 121149 125636 127575 129654 132300 134610 138915 142884 144060 144225 153090 154350 155763 157045 161532 166698 170100 173070 178605 180075 185220 188454 192300 194481 198450 201915 207684 214326 216090 218700 219863 224350 231525 238140 240100 242298 250047 255150 259308 259605 269220 277830 282681 288450 297675 306180 308700 311526 314090 324135 333396 336525 346140 357210 360150 363447 376908 382725 388962 396900 403830 410881 416745 428652 432180 432675 439726 448700 463050 467289 471135 484596 500094 510300 519210 535815 540225 555660 565362 576900 583443 595350 605745 623052 628180 648270 659589 673050 694575 714420 720300 726894 750141 765450 777924 778815 785225 807660 821762 833490 848043 865350 879452 893025 926100 934578 942270 972405 1000188 1009575 1038420 1071630 1080450 1090341 1099315 1130724 1166886 1190700 1211490 1232643 1250235 1296540 1298025 1319178 1346100 1389150 1401867 1413405 1453788 1500282 1530900 1539041 1557630 1570450 1620675 1643524 1666980 1696086 1730700 1750329 1786050 1817235 1869156 1884540 1944810 1978767 2019150 2054405 2083725 2143260 2160900 2180682 2198630 2333772 2336445 2355675 2422980 2465286 2500470 2544129 2596050 2638356 2679075 2778300 2803734 2826810 2876167 2917215 3000564 3028725 3078082 3115260 3140900 3241350 3271023 3297945 3392172 3500658 3572100 3634470 3697929 3750705 3889620 3894075 3957534 4038300 4108810 4167450 4240215 4361364 4397260 4617123 4672890 4711350 4862025 4930572 5000940 5088258 5192100 5250987 5358150 5451705 5496575 5607468 5653620 5752334 5834430 5936301 6057450 6156164 6163215 6251175 6482700 6542046 6595890 7001316 7009335 7067025 7268940 7395858 7501410 7632387 7695205 7788150 7915068 8217620 8334900 8480430 8628501 8751645 9086175 9234246 9345780 9422700 9724050 9813069 9893835 10176516 10272025 10501974 10716300 10903410 10993150 11093787 11504668 11668860 11682225 11872602 12114900 12326430 12502350 12720645 13084092 13191780 13851369 14018670 14134050 14380835 14586075 14791716 15002820 15264774 15390410 15576300 16355115 16489725 16960860 17257002 17503290 17808903 18172350 18468492 18489645 18753525 19448100 19626138 19787670 20133169 20544050 21003948 21201075 21806820 21986300 22187574 22897161 23085615 23364450 23745204 24652860 25004700 25441290 25885503 26254935 27258525 27702738 28037340 28268100 28761670 29172150 29681505 30529548 30780820 30816075 32710230 32979450 33281361 34514004 35006580 35046675 35617806 36344700 36979290 37507050 38161935 38476025 39252276 39575340 40266338 41088100 41554107 42402150 43142505 43758225 44375148 45794322 46171230 46728900 49065345 49469175 50882580 51771006 52509870 53426709 54517050 55405476 55468935 57523340 58344300 59363010 60399507 61632150 63603225 65420460 65958900 66562722 68691483 69256845 70093350 71235612 71904175 73958580 75014100 76323870 76952050 77656509 80532676 81775575 83108214 84804300 86285010 87516450 89044515 91588644 92342460 92448225 98130690 98938350 99844083 100665845 103542012 105019740 106853418 109034100 110937870 114485805 115428075 118726020 120799014 123264300 124662321 127206450 129427515 131274675 133125444 137382966 138513690 140186700 140932183 143808350 148407525 152647740 153904100 155313018 160280127 163551150 166216428 166406805 172570020 175032900 178089030 181198521 184896450 190809675 196261380 197876700 199688166 201331690 207770535 213706836 215712525 221875740 228971610 230856150 232969527 241598028 245326725 249324642 254412900 258855030 262549350 263374721 267133545 274765932 277027380 277344675 281864366 287616700 296815050 299532249 301997535 310626036 320560254 327102300 332813610 343457415 346284225 356178060 362397042 369792900 373986963 381619350 388282545 399376332 402663380 415541070 422796549 431425050 445222575 457943220 461712300 465939054 480840381 490653450 498649284 499220415 503329225 517710060 525098700 526749442 534267090 543595563 554689350 563728732 572429025 593630100 599064498 603995070 623311605 641120508 647137575 665627220 686914830 692568450 698908581 704660915 724794084 747973926 763238700 776565090 790124163 801400635 831082140 832034025 845593098 862850100 890445150 898596747 905992605 931878108 961680762 981306900 986525281 998440830 1006658450 1038852675 1053498884 1068534180 1087191126 1109378700 1121960889 1144858050 1164847635 1198128996 1207990140 1246623210 1268389647 1294275150 1316873605 1335667725 1373829660 1385136900 1397817162 1409321830 1495947852 1497661245 1509987675 1553130180 1580248326 1602801270 1630786689 1664068050 1691186196 1717287075 1780890300 1797193494 1811985210 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40769667225 41934514860 42279654900 42666704802 44031240603 44393637645 44929837350 45662027292 46090576175 47407449780 48084038100 48923600670 49326264050 49777822269 51621445316 52418143575 53272365174 54359556300 55308691410 56098044450 57077534115 58708320804 59191516860 59259312225 62901772290 63419482350 64000057203 64526806645 66370429692 67317653340 68493040938 69890858100 71111174670 73385401005 73989396075 76103378820 77432167974 79012416300 79908547761 81539334450 82963037115 84147066675 85333409604 88062481206 88787275290 89859674700 90337529303 92181152350 95129223525 97847201340 98652528100 99555644538 102739561407 104836287150 106544730348 106666762005 110617382820 112196088900 114155068230 116148251961 118518624450 122309001675 125803544580 126838964700 128000114406 129053613290 133180912935 136986081876 138271728525 142222349340 146770802010 147978792150 149333466807 154864335948 157254430725 159817095522 163078668900 165926074230 168294133350 171232602345 176124962412 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774321679740 799085477610 813037763727 829630371150 856163011725 880624812060 887872752900 896000800842 903375293030 958902573132 960000858045 967902099675 995556445380 1027395614070 1045334267649 1066667620050 1084050351636 1100781015075 1141550682300 1152001029654 1161482519610 1198628216415 1232874736884 1244445556725 1264725410242 1280001144060 1290536132900 1331809129350 1344001201263 1355062939545 1393779023532 1438353859698 1467708020100 1493334668070 1541093421105 1598170955220 1600001430075 1626075527454 1659260742300 1712326023450 1742223779415 1792001601684 1806750586060 1897088115363 1920001716090 1935804199350 1997713694025 2054791228140 2090668535298 2133335240100 2157530789547 2201562030150 2240002002105 2258438232575 2304002059308 2322965039220 2397256432830 2439113291181 2488891113450 2529450820484 2568489035175 2663618258700 2688002402526 2710125879090 2876707719396 2880002574135 2903706299025 2986669336140 3082186842210 3136002802947 3161813525605 3200002860150 3252151054908 3424652046900 3484447558830 3595884649245 3733336670175 3794176230726 3840003432180 3871608398700 3995427388050 4032003603789 4065188818635 4181337070596 4315061579094 4403124060300 4480004004210 4516876465150 4794512865660 4800004290225 4878226582362 4977782226900 5136978070350 5226671338245 5376004805052 5420251758180 5691264346089 5760005148270 5807412598050 5993141082075 6164373684420 6272005605894 6323627051210 6400005720300 6720006006315 6775314697725 6968895117660 7191769298490 7317339873543 7466673340350 7588352461452 7705467105525 7990854776100 8064007207578 8130377637270 8630123158188 8711118897075 8960008008420 9033752930300 9408008408841 9485440576815 9600008580450 9756453164724 10273956140700 10453342676490 10787653947735 11200010010525 11382528692178 11520010296540 11614825196100 11986282164150 12195566455905 12544011211788 12647254102420 13440012012630 13550629395450 14383538596980 14400012870675 14634679747086 14933346680700 15410934211050 15680014014735 15809067628025 16128014415156 16260755274540 17073793038267 17422237794150 17979423246225 18816016817682 18970881153630 19200017160900 20160018018945 20325944093175 20906685352980 21575307895470 21952019620629 22400020021050 22765057384356 23972564328300 24391132911810 26133356691225 26880024025260 27101258790900 28224025226523 28456321730445 28800025741350 29269359494172 30821868422100 31360028029470 31618135256050 33600030031575 34147586076534 34844475588300 35958846492450 36586699367715 37632033635364 37941762307260 40320036037890 40651888186350 43150615790940 43904039241258 44800040042100 47040042044205 47427202884075 48782265823620 51221379114801 52266713382450 53938269738675 56448050453046 56912643460890 57600051482700 60977832279525 62720056058940 63236270512100 65856058861887 67200060063150 68295172153068 71917692984900 73173398735430 78400070073675 80640072075780 81303776372700 85368965191335 87808078482516 94080084088410 94854405768150 100800090094725 102442758229602 104533426764900 107876539477350 109760098103145 112896100906092 113825286921780 121955664559050 131712117723774 134400120126300 141120126132615 142281608652225 146346797470860 153664137344403 156800140147350 170737930382670 182933496838575 188160168176820 189708811536300 197568176585661 201600180189450 204885516459204 215753078954700 219520196206290 235200210221025 243911329118100 256106895574005 263424235447548 282240252265230 284563217304450 307328274688806 313600280294700 329280294309435 341475860765340 365866993677150 395136353171322 403200360378900 426844825956675 439040392412580 460992412033209 470400420442050 512213791148010 548800490515725 564480504530460 569126434608900 614656549377612 658560588618870 705600630663075 731733987354300 768320686722015 790272706342644 853689651913350 921984824066418 940800840884100 987840882928305 1024427582296020 1097600981031450 1280534477870025 1317121177237740 1382977236099627 1411201261326150 1536641373444030 1646401471547175 1707379303826700 1843969648132836 1975681765856610 2195201962062900 2304962060166045 2561068955740050 2765954472199254 2822402522652300 3073282746888060 3292802943094350 3841603433610075 3951363531713220 4609924120332090 4939204414641525 5122137911480100 5531908944398508 6585605886188700 6914886180498135 7683206867220150 9219848240664180 9878408829283050 11524810300830225 13829772360996270 15366413734440300 19756817658566100 23049620601660450 27659544721992540 34574430902490675 46099241203320900 69148861804981350 138297723609962700
- Sum of all divisors σ(n): 525894744179461440
- Sum of proper divisors (its aliquot sum) s(n): 387597020569498740
- 138297723609962700 is an abundant number, because the sum of its proper divisors (387597020569498740) is greater than itself. Its abundance is 249299296959536040
Bases of 138297723609962700
- Binary: 1111010110101010100001100000000010000010001011000110011002
- Hexadecimal: 0x1EB550C010458CC
- Base-36: 11TQG953YOR0
Squares and roots of 138297723609962700
- 138297723609962700 squared (1382977236099627002) is 19126260355697634421918695391290000
- 138297723609962700 cubed (1382977236099627003) is 2645118268364458324502066339352467654018804883000000
-
The
square root of 138297723609962700 is 371884019.0300770373 -
The
cube root of 138297723609962700 is 517136.2841968999
Scales and comparisons
How big is 138297723609962700?- 138,297,723,609,962,700 seconds is equal to 4,397,439,827 years, 44 weeks, 1 day, 12 hours, 45 minutes.
-
To count from 1 to 138,297,723,609,962,700 would take you about thirteen billion, one hundred ninety-two million, three hundred nineteen thousand, four hundred eighty-three 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 138297723609962700 cubic inches would be around 43094.7 feet tall.
Recreational maths with 138297723609962700
- 138297723609962700 backwards is 007269906327792831
- 138297723609962700 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138297723609962700's digits is 81
- More coming soon!
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"Number 138297723609962700 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 138297723609962700 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138297723609962700/
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Numbermatics. 2024. "Number 138297723609962700 - Facts about the integer". https://numbermatics.com/n/138297723609962700/
The information we have on file for 138297723609962700 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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