38141164628232940800
38,141,164,628,232,940,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 38141164628232940800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
38141164628232940800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 38141164628232940800:
28 × 35 × 52 × 31 × 8894532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 31 × 889453 × 889453)See below for interesting mathematical facts about the number 38141164628232940800 from the Numbermatics database.
Names of 38141164628232940800
- Cardinal: 38141164628232940800 can be written as Thirty-eight quintillion, one hundred forty-one quadrillion, one hundred sixty-four trillion, six hundred twenty-eight billion, two hundred thirty-two million, nine hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 3.81411646282329408 × 1019
Factors of 38141164628232940800
Divisors of 38141164628232940800
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 81 90 93 96 100 108 120 124 128 135 144 150 155 160 162 180 186 192 200 216 225 240 243 248 256 270 279 288 300 310 320 324 360 372 384 400 405 432 450 465 480 486 496 540 558 576 600 620 640 648 675 720 744 768 775 800 810 837 864 900 930 960 972 992 1080 1116 1152 1200 1215 1240 1280 1296 1350 1395 1440 1488 1550 1600 1620 1674 1728 1800 1860 1920 1944 1984 2025 2160 2232 2304 2325 2400 2430 2480 2511 2592 2700 2790 2880 2976 3100 3200 3240 3348 3456 3600 3720 3840 3888 3968 4050 4185 4320 4464 4650 4800 4860 4960 5022 5184 5400 5580 5760 5952 6075 6200 6400 6480 6696 6912 6975 7200 7440 7533 7776 7936 8100 8370 8640 8928 9300 9600 9720 9920 10044 10368 10800 11160 11520 11904 12150 12400 12555 12960 13392 13950 14400 14880 15066 15552 16200 16740 17280 17856 18600 19200 19440 19840 20088 20736 20925 21600 22320 23808 24300 24800 25110 25920 26784 27900 28800 29760 30132 31104 32400 33480 34560 35712 37200 37665 38880 39680 40176 41850 43200 44640 48600 49600 50220 51840 53568 55800 57600 59520 60264 62208 62775 64800 66960 71424 74400 75330 77760 80352 83700 86400 89280 97200 99200 100440 103680 107136 111600 119040 120528 125550 129600 133920 148800 150660 155520 160704 167400 172800 178560 188325 194400 198400 200880 214272 223200 241056 251100 259200 267840 297600 301320 311040 321408 334800 357120 376650 388800 401760 446400 482112 502200 518400 535680 595200 602640 642816 669600 753300 777600 803520 889453 892800 964224 1004400 1071360 1205280 1339200 1506600 1555200 1607040 1778906 1785600 1928448 2008800 2410560 2668359 2678400 3013200 3214080 3557812 4017600 4447265 4821120 5336718 5356800 6026400 7115624 8005077 8035200 8894530 9642240 10673436 12052800 13341795 14231248 16010154 16070400 17789060 21346872 22236325 24015231 24105600 26683590 27573043 28462496 32020308 35578120 40025385 42693744 44472650 48030462 48211200 53367180 55146086 56924992 64040616 66708975 71156240 72045693 80050770 82719129 85387488 88945300 96060924 106734360 110292172 113849984 120076155 128081232 133417950 137865215 142312480 144091386 160101540 165438258 170774976 177890600 192121848 200126925 213468720 216137079 220584344 227699968 240152310 248157387 256162464 266835900 275730430 284624960 288182772 320203080 330876516 341549952 355781200 360228465 384243696 400253850 413595645 426937440 432274158 441168688 480304620 496314774 512324928 533671800 551460860 569249920 576365544 600380775 640406160 661753032 683099904 689326075 711562400 720456930 744472161 768487392 800507700 827191290 853874880 864548316 882337376 960609240 992629548 1024649856 1067343600 1080685395 1102921720 1138499840 1152731088 1200761550 1240786935 1280812320 1323506064 1378652150 1423124800 1440913860 1488944322 1536974784 1601015400 1654382580 1707749760 1729096632 1764674752 1801142325 1921218480 1985259096 2049299712 2067978225 2134687200 2161370790 2205843440 2233416483 2305462176 2401523100 2481573870 2561624640 2647012128 2757304300 2846249600 2881827720 2977888644 3073949568 3202030800 3308765160 3415499520 3458193264 3529349504 3602284650 3722360805 3842436960 3970518192 4135956450 4269374400 4322741580 4411686880 4466832966 4610924352 4803046200 4963147740 5123249280 5294024256 5403426975 5514608600 5692499200 5763655440 5955777288 6147899136 6203934675 6404061600 6617530320 6700249449 6916386528 7058699008 7204569300 7444721610 7684873920 7941036384 8271912900 8538748800 8645483160 8823373760 8933665932 9221848704 9606092400 9926295480 10246498560 10588048512 10806853950 11029217200 11167082415 11527310880 11911554576 12407869350 12808123200 13235060640 13400498898 13832773056 14409138600 14889443220 15369747840 15882072768 16543825800 17077497600 17290966320 17646747520 17867331864 18443697408 18611804025 19212184800 19852590960 21176097024 21613707900 22058434400 22334164830 23054621760 23823109152 24815738700 25616246400 26470121280 26800997796 27665546112 28818277200 29778886440 30739495680 31764145536 33087651600 33501247245 34581932640 35293495040 35734663728 37223608050 38424369600 39705181920 43227415800 44116868800 44668329660 46109243520 47646218304 49631477400 51232492800 52940242560 53601995592 55331092224 55835412075 57636554400 59557772880 63528291072 66175303200 67002494490 69163865280 71469327456 74447216100 76848739200 79410363840 86454831600 88233737600 89336659320 92218487040 95292436608 99262954800 105880485120 107203991184 111670824150 115273108800 119115545760 132350606400 134004988980 138327730560 142938654912 148894432200 153697478400 158820727680 167506236225 172909663200 176467475200 178673318640 190584873216 198525909600 214407982368 223341648300 230546217600 238231091520 264701212800 268009977960 276655461120 285877309824 297788864400 317641455360 335012472450 345819326400 357346637280 397051819200 428815964736 446683296600 461092435200 476462183040 529402425600 536019955920 571754619648 595577728800 670024944900 691638652800 714693274560 791126639209 794103638400 857631929472 893366593200 952924366080 1072039911840 1191155457600 1340049889800 1383277305600 1429386549120 1582253278418 1588207276800 1715263858944 1786733186400 2144079823680 2373379917627 2382310915200 2680099779600 2858773098240 3164506556836 3573466372800 3955633196045 4288159647360 4746759835254 4764621830400 5360199559200 6329013113672 7120139752881 7146932745600 7911266392090 8576319294720 9493519670508 10720399118400 11866899588135 12658026227344 14240279505762 14293865491200 15822532784180 18987039341016 19778165980225 21360419258643 21440798236800 23733799176270 24524925815479 25316052454688 28480559011524 31645065568360 35600698764405 37974078682032 39556331960450 42720838517286 42881596473600 47467598352540 49049851630958 50632104909376 56961118023048 59334497940675 63290131136720 64081257775929 71201397528810 73574777446437 75948157364064 79112663920900 85441677034572 94935196705080 98099703261916 101264209818752 106802096293215 113922236046096 118668995881350 122624629077395 126580262273440 128162515551858 142402795057620 147149554892874 151896314728128 158225327841800 170883354069144 178003493822025 189870393410160 192243773327787 196199406523832 202528419637504 213604192586430 220724332339311 227844472092192 237337991762700 245249258154790 253160524546880 256325031103716 284805590115240 294299109785748 303792629456256 316450655683600 320406288879645 341766708138288 356006987644050 367873887232185 379740786820320 384487546655574 392398813047664 427208385172860 441448664678622 455688944184384 474675983525400 490498516309580 506321049093760 512650062207432 534010481466075 569611180230480 588598219571496 607585258912512 613123145386975 632901311367200 640812577759290 662172997017933 683533416276576 712013975288100 735747774464370 759481573640640 768975093311148 784797626095328 854416770345720 882897329357244 911377888368768 949351967050800 961218866638935 980997032619160 1012642098187520 1025300124414864 1068020962932150 1103621661696555 1139222360460960 1177196439142992 1226246290773950 1265802622734400 1281625155518580 1324345994035866 1367066832553152 1424027950576200 1471495548928740 1518963147281280 1537950186622296 1569595252190656 1602031444398225 1708833540691440 1765794658714488 1822755776737536 1839369436160925 1898703934101600 1922437733277870 1961994065238320 1986518991053799 2050600248829728 2136041925864300 2207243323393110 2278444720921920 2354392878285984 2452492581547900 2531605245468800 2563250311037160 2648691988071732 2734133665106304 2848055901152400 2942991097857480 3037926294562560 3075900373244592 3139190504381312 3204062888796450 3310864985089665 3417667081382880 3531589317428976 3678738872321850 3797407868203200 3844875466555740 3923988130476640 3973037982107598 4101200497659456 4272083851728600 4414486646786220 4556889441843840 4708785756571968 4806094333194675 4904985163095800 5063210490937600 5126500622074320 5297383976143464 5468267330212608 5518108308482775 5696111802304800 5885982195714960 5959556973161397 6151800746489184 6278381008762624 6408125777592900 6621729970179330 6835334162765760 7063178634857952 7357477744643700 7594815736406400 7689750933111480 7847976260953280 7946075964215196 8202400995318912 8544167703457200 8828973293572440 9113778883687680 9417571513143936 9612188666389350 9809970326191600 9932594955268995 10253001244148640 10594767952286928 11036216616965550 11392223604609600 11771964391429920 11919113946322794 12303601492978368 12816251555185800 13243459940358660 13670668325531520 14126357269715904 14714955489287400 15189631472812800 15379501866222960 15695952521906560 15892151928430392 16404801990637824 16554324925448325 17088335406914400 17657946587144880 18835143026287872 19224377332778700 19619940652383200 19865189910537990 20506002488297280 21189535904573856 22072433233931100 22784447209219200 23543928782859840 23838227892645588 24607202985956736 25632503110371600 26486919880717320 27341336651063040 28252714539431808 29429910978574800 29797784865806985 30759003732445920 31391905043813120 31784303856860784 33108649850896650 34176670813828800 35315893174289760 38448754665557400 39239881304766400 39730379821075980 41012004976594560 42379071809147712 44144866467862200 45568894418438400 47087857565719680 47676455785291176 49214405971913472 49662974776344975 51265006220743200 52973839761434640 56505429078863616 58859821957149600 59595569731613970 61518007464891840 63568607713721568 66217299701793300 68353341627657600 70631786348579520 76897509331114800 78479762609532800 79460759642151960 82024009953189120 84758143618295424 88289732935724400 94175715131439360 95352911570582352 99325949552689950 102530012441486400 105947679522869280 117719643914299200 119191139463227940 123036014929783680 127137215427443136 132434599403586600 136706683255315200 141263572697159040 148988924329034925 153795018662229600 156959525219065600 158921519284303920 169516287236590848 176579465871448800 190705823141164704 198651899105379900 205060024882972800 211895359045738560 235439287828598400 238382278926455880 246072029859567360 254274430854886272 264869198807173200 282527145394318080 297977848658069850 307590037324459200 317843038568607840 353158931742897600 381411646282329408 397303798210759800 410120049765945600 423790718091477120 470878575657196800 476764557852911760 508548861709772544 529738397614346400 595955697316139700 615180074648918400 635686077137215680 706317863485795200 762823292564658816 794607596421519600 847581436182954240 953529115705823520 1059476795228692800 1191911394632279400 1230360149297836800 1271372154274431360 1412635726971590400 1525646585129317632 1589215192843039200 1907058231411647040 2118953590457385600 2383822789264558800 2542744308548862720 3178430385686078400 3814116462823294080 4237907180914771200 4767645578529117600 6356860771372156800 7628232925646588160 9535291157058235200 12713721542744313600 19070582314116470400 38141164628232940800
- Sum of all divisors σ(n): 145975661762701190784
- Sum of proper divisors (its aliquot sum) s(n): 107834497134468249984
- 38141164628232940800 is an abundant number, because the sum of its proper divisors (107834497134468249984) is greater than itself. Its abundance is 69693332506235309184
Bases of 38141164628232940800
- Binary: 1000010001010100001010001100100110000110011000010010101101000000002
- Hexadecimal: 0x21150A3261984AD00
- Base-36: 81S16GIUY1C00
Squares and roots of 38141164628232940800
- 38141164628232940800 squared (381411646282329408002) is 1454748439197967645186810306216304640000
- 38141164628232940800 cubed (381411646282329408003) is 55485799712114602503313149645247098794218544895885312000000
-
The
square root of 38141164628232940800 is 6175853352.2285760959 -
The
cube root of 38141164628232940800 is 3366133.3501108445
Scales and comparisons
How big is 38141164628232940800?- 38,141,164,628,232,940,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 38,141,164,628,232,940,800 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 38141164628232940800 cubic inches would be around 280511.1 feet tall.
Recreational maths with 38141164628232940800
- 38141164628232940800 backwards is 00804923282646114183
- 38141164628232940800 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 38141164628232940800's digits is 72
- More coming soon!
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"Number 38141164628232940800 - Facts about the integer". Numbermatics.com. 2024. Web. 2 June 2024.
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Numbermatics. (2024). Number 38141164628232940800 - Facts about the integer. Retrieved 2 June 2024, from https://numbermatics.com/n/38141164628232940800/
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The information we have on file for 38141164628232940800 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 38141164628232940800, math, Factors of 38141164628232940800, curriculum, school, college, exams, university, Prime factorization of 38141164628232940800, STEM, science, technology, engineering, physics, economics, calculator, thirty-eight quintillion, one hundred forty-one quadrillion, one hundred sixty-four trillion, six hundred twenty-eight billion, two hundred thirty-two million, nine hundred forty thousand, eight hundred.