4138534092208444800
4,138,534,092,208,444,800 is an even composite number composed of seven prime numbers multiplied together.
4138534092208444800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 4138534092208444800:
27 × 3 × 52 × 17 × 37 × 677 × 1012362361
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 37 × 677 × 1012362361)See below for interesting mathematical facts about the number 4138534092208444800 from the Numbermatics database.
Names of 4138534092208444800
- Cardinal: 4138534092208444800 can be written as Four quintillion, one hundred thirty-eight quadrillion, five hundred thirty-four trillion, ninety-two billion, two hundred eight million, four hundred forty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 4.1385340922084448 × 1018
Factors of 4138534092208444800
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 1012363102
Divisors of 4138534092208444800
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 37 40 48 50 51 60 64 68 74 75 80 85 96 100 102 111 120 128 136 148 150 160 170 185 192 200 204 222 240 255 272 296 300 320 340 370 384 400 408 425 444 480 510 544 555 592 600 629 640 677 680 740 800 816 850 888 925 960 1020 1088 1110 1184 1200 1258 1275 1354 1360 1480 1600 1632 1700 1776 1850 1887 1920 2031 2040 2176 2220 2368 2400 2516 2550 2708 2720 2775 2960 3145 3200 3264 3385 3400 3552 3700 3774 4062 4080 4440 4736 4800 5032 5100 5416 5440 5550 5920 6290 6528 6770 6800 7104 7400 7548 8124 8160 8880 9435 9600 10064 10155 10200 10832 10880 11100 11509 11840 12580 13540 13600 14208 14800 15096 15725 16248 16320 16925 17760 18870 20128 20310 20400 21664 22200 23018 23680 25049 25160 27080 27200 29600 30192 31450 32496 32640 33850 34527 35520 37740 40256 40620 40800 43328 44400 46036 47175 50098 50320 50775 54160 54400 57545 59200 60384 62900 64992 67700 69054 71040 75147 75480 80512 81240 81600 86656 88800 92072 94350 100196 100640 101550 108320 115090 118400 120768 125245 125800 129984 135400 138108 150294 150960 162480 163200 172635 177600 184144 188700 200392 201280 203100 216640 230180 241536 250490 251600 259968 270800 276216 287725 300588 301920 324960 345270 355200 368288 375735 377400 400784 402560 406200 425833 433280 460360 500980 503200 541600 552432 575450 601176 603840 626225 649920 690540 736576 751470 754800 801568 812400 851666 863175 920720 1001960 1006400 1083200 1104864 1150900 1202352 1207680 1252450 1277499 1299840 1381080 1473152 1502940 1509600 1603136 1624800 1703332 1726350 1841440 1878675 2003920 2012800 2129165 2166400 2209728 2301800 2404704 2504900 2554998 2762160 3005880 3019200 3206272 3249600 3406664 3452700 3682880 3757350 4007840 4258330 4419456 4603600 4809408 5009800 5109996 5524320 6011760 6038400 6387495 6499200 6813328 6905400 7365760 7514700 8015680 8516660 9207200 9618816 10019600 10219992 10645825 11048640 12023520 12774990 13626656 13810800 15029400 16031360 17033320 18414400 20039200 20439984 21291650 22097280 24047040 25549980 27253312 27621600 30058800 31937475 34066640 36828800 40078400 40879968 42583300 48094080 51099960 54506624 55243200 60117600 63874950 68133280 80156800 81759936 85166600 102199920 110486400 120235200 127749900 136266560 163519872 170333200 204399840 240470400 255499800 272533120 340666400 408799680 510999600 681332800 817599360 1012362361 1021999200 1362665600 2024724722 2043998400 3037087083 4049449444 4087996800 5061811805 6074174166 8098898888 10123623610 12148348332 15185435415 16197797776 17210160137 20247247220 24296696664 25309059025 30370870830 32395595552 34420320274 37457407357 40494494440 48593393328 50618118050 51630480411 60741741660 64791191104 68840640548 74914814714 75927177075 80988988880 86050800685 97186786656 101236236100 103260960822 112372222071 121483483320 129582382208 137681281096 149829629428 151854354150 161977977760 172101601370 187287036785 194373573312 202472472200 206521921644 224744444142 242966966640 258152402055 275362562192 299659258856 303708708300 323955955520 344203202740 374574073570 388747146624 404944944400 413043843288 430254003425 449488888284 485933933280 516304804110 550725124384 561861110355 599318517712 607417416600 636775925069 647911911040 685369318397 688406405480 749148147140 809889888800 826087686576 860508006850 898977776568 936435183925 971867866560 1032609608220 1101450248768 1123722220710 1198637035424 1214834833200 1273551850138 1290762010275 1370738636794 1376812810960 1498296294280 1619779777600 1652175373152 1721016013700 1797955553136 1872870367850 1910327775207 1943735733120 2056107955191 2065219216440 2202900497536 2247444441420 2397274070848 2429669666400 2547103700276 2581524020550 2741477273588 2753625621920 2809305551775 2996592588560 3183879625345 3239559555200 3304350746304 3426846591985 3442032027400 3595911106272 3745740735700 3820655550414 4112215910382 4130438432880 4494888882840 4794548141696 4859339332800 5094207400552 5163048041100 5482954547176 5507251243840 5618611103550 5993185177120 6367759250690 6608701492608 6853693183970 6884064054800 7191822212544 7491481471400 7641311100828 8224431820764 8260876865760 8989777765680 9551638876035 9718678665600 10188414801104 10280539775955 10326096082200 10965909094352 11014502487680 11237222207100 11651278412749 11986370354240 12735518501380 13707386367940 13768128109600 14383644425088 14982962942800 15282622201656 15919398126725 16448863641528 16521753731520 17134232959925 17979555531360 19103277752070 20376829602208 20561079551910 20652192164400 21931818188704 22474444414200 23302556825498 23972740708480 25358664780689 25471037002760 27414772735880 27536256219200 29965925885600 30565244403312 31838796253450 32897727283056 33043507463040 34268465919850 34953835238247 35959111062720 38206555504140 40753659204416 41122159103820 41304384328800 43863636377408 44948888828400 46605113650996 47758194380175 50717329561378 50942074005520 51402698879775 54829545471760 55072512438400 58256392063745 59931851771200 61130488806624 63677592506900 65795454566112 68536931839700 69907670476494 71918222125440 76075994342067 76413111008280 81507318408832 82244318207640 82608768657600 87727272754816 89897777656800 93210227301992 95516388760350 101434659122756 101884148011040 102805397759550 109659090943520 116512784127490 119863703542400 122260977613248 126793323903445 127355185013800 131590909132224 137073863679400 139815340952988 152151988684134 152826222016560 164488636415280 165217537315200 174769176191235 179795555313600 186420454603984 191032777520700 202869318245512 203768296022080 205610795519100 219318181887040 233025568254980 244521955226496 253586647806890 254710370027600 263181818264448 274147727358800 279630681905976 291281960318725 304303977368268 305652444033120 328977272830560 349538352382470 359591110627200 372840909207968 380379971710335 382065555041400 405738636491024 407536592044160 411221591038200 431097301271713 438636363774080 466051136509960 507173295613780 509420740055200 548295454717600 559261363811952 582563920637450 608607954736536 611304888066240 633966619517225 657954545661120 699076704764940 745681818415936 760759943420670 764131110082800 811477272982048 822443182076400 862194602543426 873845880956175 932102273019920 1014346591227560 1018841480110400 1096590909435200 1118522727623904 1165127841274900 1217215909473072 1222609776132480 1267933239034450 1293291903815139 1315909091322240 1398153409529880 1491363636831872 1521519886841340 1528262220165600 1622954545964096 1644886364152800 1724389205086852 1747691761912350 1864204546039840 1901899858551675 2028693182455120 2037682960220800 2155486506358565 2193181818870400 2237045455247808 2330255682549800 2434431818946144 2535866478068900 2586583807630278 2796306819059760 3043039773682680 3056524440331200 3245909091928192 3289772728305600 3448778410173704 3495383523824700 3728409092079680 3803799717103350 4057386364910240 4310973012717130 4474090910495616 4660511365099600 4868863637892288 5071732956137800 5173167615260556 5592613638119520 6086079547365360 6113048880662400 6466459519075695 6579545456611200 6897556820347408 6990767047649400 7456818184159360 7607599434206700 8114772729820480 8621946025434260 9321022730199200 9737727275784576 10143465912275600 10346335230521112 10777432531792825 11185227276239040 12172159094730720 12932919038151390 13795113640694816 13981534095298800 15215198868413400 16229545459640960 17243892050868520 18642045460398400 20286931824551200 20692670461042224 21554865063585650 22370454552478080 24344318189461440 25865838076302780 27590227281389632 27963068190597600 30430397736826800 32332297595378475 34487784101737040 37284090920796800 40573863649102400 41385340922084448 43109730127171300 48688636378922880 51731676152605560 55180454562779264 55926136381195200 60860795473653600 64664595190756950 68975568203474080 81147727298204800 82770681844168896 86219460254342600 103463352305211120 111852272762390400 121721590947307200 129329190381513900 137951136406948160 165541363688337792 172438920508685200 206926704610422240 243443181894614400 258658380763027800 275902272813896320 344877841017370400 413853409220844480 517316761526055600 689755682034740800 827706818441688960 1034633523052111200 1379511364069481600 2069267046104222400 4138534092208444800
- Sum of all divisors σ(n): 14845117916632322880
- Sum of proper divisors (its aliquot sum) s(n): 10706583824423878080
- 4138534092208444800 is an abundant number, because the sum of its proper divisors (10706583824423878080) is greater than itself. Its abundance is 6568049732215433280
Bases of 4138534092208444800
- Binary: 111001011011110000011011010100011110001110110110010101100000002
- Hexadecimal: 0x396F06D478ED9580
- Base-36: VFXNWBD95HMO
Squares and roots of 4138534092208444800
- 4138534092208444800 squared (41385340922084448002) is 17127464432371576286243692434647040000
- 4138534092208444800 cubed (41385340922084448003) is 70882595466457327770511078505420066247689195323392000000
-
The
square root of 4138534092208444800 is 2034338735.8570462023 -
The
cube root of 4138534092208444800 is 1605519.2326591239
Scales and comparisons
How big is 4138534092208444800?- 4,138,534,092,208,444,800 seconds is equal to 131,592,582,805 years, 40 weeks, 1 day, 10 hours, 40 minutes.
-
To count from 1 to 4,138,534,092,208,444,800 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 4138534092208444800 cubic inches would be around 133793.3 feet tall.
Recreational maths with 4138534092208444800
- 4138534092208444800 backwards is 0084448022904358314
- The number of decimal digits it has is: 19
- The sum of 4138534092208444800's digits is 69
- More coming soon!
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The information we have on file for 4138534092208444800 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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