138802572079519420800
138,802,572,079,519,420,800 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138802572079519420800 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
138802572079519420800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138802572079519420800:
27 × 32 × 52 × 7 × 13 × 37 × 239 × 5989133707
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 13 × 37 × 239 × 5989133707)See below for interesting mathematical facts about the number 138802572079519420800 from the Numbermatics database.
Names of 138802572079519420800
- Cardinal: 138802572079519420800 can be written as One hundred thirty-eight quintillion, eight hundred two quadrillion, five hundred seventy-two trillion, seventy-nine billion, five hundred nineteen million, four hundred twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.388025720795194208 × 1020
Factors of 138802572079519420800
- Number of distinct prime factors ω(n): 8
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 5989134013
Divisors of 138802572079519420800
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 37 39 40 42 45 48 50 52 56 60 63 64 65 70 72 74 75 78 80 84 90 91 96 100 104 105 111 112 117 120 126 128 130 140 144 148 150 156 160 168 175 180 182 185 192 195 200 208 210 222 224 225 234 239 240 252 259 260 273 280 288 296 300 312 315 320 325 333 336 350 360 364 370 384 390 400 416 420 444 448 450 455 468 478 480 481 504 518 520 525 546 555 560 576 585 592 600 624 630 640 650 666 672 700 717 720 728 740 777 780 800 819 832 840 888 896 900 910 925 936 956 960 962 975 1008 1036 1040 1050 1092 1110 1120 1152 1170 1184 1195 1200 1248 1260 1295 1300 1332 1344 1365 1400 1434 1440 1443 1456 1480 1554 1560 1575 1600 1638 1664 1665 1673 1680 1776 1800 1820 1850 1872 1912 1920 1924 1950 2016 2072 2080 2100 2151 2184 2220 2240 2275 2331 2340 2368 2390 2400 2405 2496 2520 2590 2600 2664 2688 2730 2775 2800 2868 2880 2886 2912 2925 2960 3107 3108 3120 3150 3200 3276 3330 3346 3360 3367 3552 3585 3600 3640 3700 3744 3824 3848 3885 3900 4032 4095 4144 4160 4200 4302 4329 4368 4440 4480 4550 4662 4680 4736 4780 4800 4810 4992 5019 5040 5180 5200 5328 5460 5550 5600 5736 5760 5772 5824 5850 5920 5975 6214 6216 6240 6300 6475 6552 6660 6692 6720 6734 6825 7104 7170 7200 7215 7280 7400 7488 7648 7696 7770 7800 8064 8190 8288 8320 8325 8365 8400 8604 8658 8736 8843 8880 9100 9321 9324 9360 9560 9600 9620 10038 10080 10101 10360 10400 10656 10755 10920 11100 11200 11472 11544 11648 11655 11700 11840 11950 12025 12428 12432 12480 12600 12950 13104 13320 13384 13440 13468 13650 14208 14340 14400 14430 14560 14800 14976 15057 15296 15392 15535 15540 15600 16380 16576 16650 16730 16800 16835 17208 17316 17472 17686 17760 17925 18200 18642 18648 18720 19120 19240 19425 20076 20160 20202 20475 20720 20800 21312 21510 21645 21749 21840 22200 22400 22944 23088 23310 23400 23680 23900 24050 24856 24864 24960 25095 25200 25900 26208 26529 26640 26768 26936 27300 27963 28680 28800 28860 29120 29600 30114 30303 30592 30784 31070 31080 31200 32760 33152 33300 33460 33600 33670 34416 34632 34944 35372 35520 35850 36075 36400 37284 37296 37440 38240 38480 38850 40152 40320 40404 40950 41440 41600 41825 42624 43020 43290 43498 43680 44215 44400 45888 46176 46605 46620 46800 47800 48100 49712 49728 50190 50400 50505 51800 52416 53058 53280 53536 53775 53872 54600 55926 57360 57720 58240 58275 59200 60228 60606 61568 61901 62140 62160 62400 65247 65520 66600 66920 67200 67340 68832 69264 70744 71040 71700 72150 72800 74568 74592 74880 75285 76480 76960 77675 77700 79587 80304 80808 81900 82880 83650 84175 86040 86580 86996 87360 88430 88800 91776 92352 93210 93240 93600 95600 96200 99424 99456 100380 100800 101010 103600 104832 106116 106560 107072 107550 107744 108225 108745 109200 111852 114720 114959 115440 116550 118400 120456 121212 123802 124280 124320 124800 125475 130494 131040 132645 133200 133840 134680 137664 138528 139815 141488 143400 144300 145600 149136 149184 150570 151515 152960 153920 155350 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8244881026404480 8262057861876156 8296627141632960 8336490815586752 8373707292442050 8473905499360160 8897600774328168 8931954445271520 8934829229450880 9017838622629900 9074435936161050 9218474601814400 9268334139925175 9378552167535096 9533143686780180 9619027864138560 9639067505522182 9679398331905120 9769325174515725 10168686599232192 10306101283005600 10327572327345195 10370783927041200 10420613519483440 10592381874200200 10718345334325824 11016077149168208 11122000967910210 11164943056589400 11168536536813600 11542833436966272 11615277998286144 11723190209418870 11863467699104224 11909272593695360 11916429608475225 12023784830173200 12099247914881400 12393086792814234 12504736223380128 12710858249040240 12905864442540160 13025766899354300 13346401161492252 13397931667907280 13741468377340800 13770096436460260 13827711902721600 14428541796207840 14458601258283273 14519097497857680 14829334623880280 14886590742119200 14891382049084800 15253029898848288 15630920279225160 15696321619305600 15888572811300300 16031713106897600 16132330553175200 16524115723752312 16593254283265920 16672981631173504 16683001451865315 16747414584884100 16947810998720320 17212620545575325 17795201548656336 17863908890543040 18035677245259800 18148871872322100 18536668279850350 18757104335070192 19066287373560360 19238055728277120 19278135011044364 19358796663810240 19538650349031450 20337373198464384 20612202566011200 20655144654690390 20741567854082400 20841227038966880 21184763748400400 21436690668651648 22032154298336416 22244001935820420 22329886113178800 22337073073627200 23230555996572288 23446380418837740 23726935398208448 23832859216950450 24047569660346400 24097668763805455 24198495829762800 24786173585628468 25009472446760256 25421716498080480 26051533798708600 26692802322984504 26795863335814560 27540192872920520 27655423805443200 27805002419775525 28857083592415680 28917202516566546 29038194995715360 29307975523547175 29658669247760560 29773181484238400 30506059797696576 30982716982035585 31261840558450320 31777145622600600 32063426213795200 32264661106350400 33048231447504624 33366002903730630 33494829169768200 33895621997440640 34425241091150650 35590403097312672 35727817781086080 36071354490519600 36297743744644200 37073336559700700 37514208670140384 38132574747120720 38556270022088728 38717593327620480 39077300698062900 41224405132022400 41310289309380780 41483135708164800 41682454077933760 42369527496800800 43375803774849819 44064308596672832 44488003871640840 44659772226357600 44674146147254400 46892760837675480 47453870796416896 47665718433900900 48095139320692800 48195337527610910 48396991659525600 49572347171256936 50018944893520512 50843432996160960 51637861636725975 52103067597417200 53385604645969008 53591726671629120 55080385745841040 55610004839551050 57714167184831360 57834405033133092 58076389991430720 58615951047094350 59317338495521120 59546362968476800 61012119595393152 61965433964071170 62523681116900640 63554291245201200 64529322212700800 66096462895009248 66732005807461260 66989658339536400 68850482182301300 71180806194625344 72142708981039200 72293006291416365 72595487489288400 74146673119401400 75028417340280768 76265149494241440 77112540044177456 78154601396125800 82620578618761560 82966271416329600 83364908155867520 83415007259326575 84739054993601600 86751607549699638 88128617193345664 88976007743281680 89319544452715200 93785521675350960 95331436867801800 96190278641385600 96390675055221820 96793983319051200 99144694342513872 101686865992321920 103275723273451950 104206135194834400 106771209291938016 107183453343258240 110160771491682080 111220009679102100 115668810066266184 116152779982861440 117231902094188700 118634676991042240 120488343819027275 123930867928142340 125047362233801280 127108582490402400 132192925790018496 133464011614922520 133979316679072800 137700964364602600 142361612389250688 144285417962078400 144586012582832730 145190974978576800 148293346238802800 150056834680561536 152530298988482880 154225080088354912 154913584910177925 156309202792251600 165241157237523120 166830014518653150 169478109987203200 173503215099399276 177952015486563360 178639088905430400 187571043350701920 190662873735603600 192781350110443640 193587966638102400 198289388685027744 206551446546903900 208412270389668800 213542418583876032 216879018874249095 220321542983364160 222440019358204200 231337620132532368 234463804188377400 237269353982084480 240976687638054550 247861735856284680 250094724467602560 254217164980804800 264385851580036992 266928023229845040 267958633358145600 275401928729205200 288570835924156800 289172025165665460 290381949957153600 296586692477605600 305060597976965760 308450160176709824 309827169820355850 312618405584503200 330482314475046240 333660029037306300 347006430198798552 355904030973126720 361465031457081825 375142086701403840 381325747471207200 385562700220887280 396578777370055488 413102893093807800 416824540779337600 427084837167752064 433758037748498190 440643085966728320 444880038716408400 462675240265064736 468927608376754800 481953375276109100 495723471712569360 508434329961609600 533856046459690080 535917266716291200 550803857458410400 578344050331330920 580763899914307200 593173384955211200 616900320353419648 619654339640711700 625236811169006400 660964628950092480 667320058074612600 694012860397597104 711808061946253440 722930062914163650 750284173402807680 762651494942414400 771125400441774560 793157554740110976 826205786187615600 867516075496996380 889760077432816800 925350480530129472 937855216753509600 963906750552218200 991446943425138720 1067712092919380160 1084395094371245475 1101607714916820800 1156688100662661840 1186346769910422400 1239308679281423400 1250473622338012800 1321929257900184960 1334640116149225200 1388025720795194208 1445860125828327300 1525302989884828800 1542250800883549120 1652411572375231200 1735032150993992760 1779520154865633600 1850700961060258944 1875710433507019200 1927813501104436400 1982893886850277440 2135424185838760320 2168790188742490950 2203215429833641600 2313376201325323680 2478617358562846800 2669280232298450400 2776051441590388416 2891720251656654600 3084501601767098240 3304823144750462400 3470064301987985520 3559040309731267200 3751420867014038400 3855627002208872800 3965787773700554880 4337580377484981900 4626752402650647360 4957234717125693600 5338560464596900800 5552102883180776832 5783440503313309200 6609646289500924800 6940128603975971040 7711254004417745600 8675160754969963800 9253504805301294720 9914469434251387200 10677120929193801600 11566881006626618400 13880257207951942080 15422508008835491200 17350321509939927600 19828938868502774400 23133762013253236800 27760514415903884160 34700643019879855200 46267524026506473600 69401286039759710400 138802572079519420800
- Sum of all divisors σ(n): 628669073601396172800
- Sum of proper divisors (its aliquot sum) s(n): 489866501521876752000
- 138802572079519420800 is an abundant number, because the sum of its proper divisors (489866501521876752000) is greater than itself. Its abundance is 351063929442357331200
Bases of 138802572079519420800
- Binary: 11110000110010001011100101111100110000101100100111011010001100000002
- Hexadecimal: 0x78645CBE6164ED180
- Base-36: TAK1PCF40EHS0
Squares and roots of 138802572079519420800
- 138802572079519420800 squared (1388025720795194208002) is 19266154015890184268303933484367472640000
- 138802572079519420800 cubed (1388025720795194208003) is 2674191731485719854381705494767927584610257358692646912000000
-
The
square root of 138802572079519420800 is 11781450338.5414913355 -
The
cube root of 138802572079519420800 is 5177647.7953492177
Scales and comparisons
How big is 138802572079519420800?- 138,802,572,079,519,420,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,802,572,079,519,420,800 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 138802572079519420800 cubic inches would be around 431470.6 feet tall.
Recreational maths with 138802572079519420800
- 138802572079519420800 backwards is 008024915970275208831
- The number of decimal digits it has is: 21
- The sum of 138802572079519420800's digits is 81
- More coming soon!
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"Number 138802572079519420800 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 138802572079519420800 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/138802572079519420800/
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The information we have on file for 138802572079519420800 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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