38328393146435887206400
38,328,393,146,435,887,206,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 38328393146435887206400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 936 divisors.
38328393146435887206400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 38328393146435887206400:
212 × 52 × 132 × 41 × 197 × 274210365997
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 13 × 41 × 197 × 274210365997)See below for interesting mathematical facts about the number 38328393146435887206400 from the Numbermatics database.
Names of 38328393146435887206400
- Cardinal: 38328393146435887206400 can be written as Thirty-eight sextillion, three hundred twenty-eight quintillion, three hundred ninety-three quadrillion, one hundred forty-six trillion, four hundred thirty-five billion, eight hundred eighty-seven million, two hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 3.83283931464358872064 × 1022
Factors of 38328393146435887206400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 19
- Sum of prime factors: 274210366255
Divisors of 38328393146435887206400
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 41 50 52 64 65 80 82 100 104 128 130 160 164 169 197 200 205 208 256 260 320 325 328 338 394 400 410 416 512 520 533 640 650 656 676 788 800 820 832 845 985 1024 1025 1040 1066 1280 1300 1312 1352 1576 1600 1640 1664 1690 1970 2048 2050 2080 2132 2560 2561 2600 2624 2665 2704 3152 3200 3280 3328 3380 3940 4096 4100 4160 4225 4264 4925 5120 5122 5200 5248 5330 5408 6304 6400 6560 6656 6760 6929 7880 8077 8200 8320 8450 8528 9850 10240 10244 10400 10496 10660 10816 12608 12800 12805 13120 13312 13325 13520 13858 15760 16154 16400 16640 16900 17056 19700 20480 20488 20800 20992 21320 21632 25216 25600 25610 26240 26624 26650 27040 27716 31520 32308 32800 33280 33293 33800 34112 34645 39400 40385 40976 41600 41984 42640 43264 50432 51200 51220 52480 53248 53300 54080 55432 63040 64025 64616 65600 66560 66586 67600 68224 69290 78800 80770 81952 83200 83968 85280 86528 100864 102400 102440 104960 105001 106600 108160 110864 126080 128050 129232 131200 133120 133172 135200 136448 138580 157600 161540 163904 166400 166465 167936 170560 173056 173225 201728 201925 204880 209920 210002 213200 216320 221728 252160 256100 258464 262400 266240 266344 270400 272896 277160 315200 323080 327808 332800 332930 341120 346112 346450 403456 403850 409760 419840 420004 426400 432640 443456 504320 512200 516928 524800 525005 532688 540800 545792 554320 630400 646160 655616 665600 665860 682240 692224 692900 806912 807700 819520 832325 839680 840008 852800 865280 886912 1008640 1024400 1033856 1049600 1050010 1065376 1081600 1091584 1108640 1260800 1292320 1311232 1331200 1331720 1364480 1365013 1385800 1615400 1639040 1664650 1680016 1705600 1730560 1773824 2017280 2048800 2067712 2099200 2100020 2130752 2163200 2183168 2217280 2521600 2584640 2622464 2625025 2663440 2728960 2730026 2771600 3230800 3278080 3329300 3360032 3411200 3461120 3547648 4034560 4097600 4135424 4198400 4200040 4261504 4326400 4434560 5043200 5169280 5244928 5250050 5326880 5457920 5460052 5543200 6461600 6556160 6658600 6720064 6822400 6825065 7095296 8195200 8270848 8400080 8523008 8652800 8869120 10086400 10338560 10489856 10500100 10653760 10915840 10920104 11086400 12923200 13112320 13317200 13440128 13644800 13650130 14190592 16390400 16541696 16800160 17046016 17305600 17738240 20172800 20677120 21000200 21307520 21840208 22172800 25846400 26224640 26634400 26880256 27289600 27300260 28381184 32780800 33083392 33600320 34092032 34125325 35476480 41354240 42000400 42615040 43680416 44345600 51692800 52449280 53268800 53760512 54579200 54600520 65561600 67200640 68184064 68250650 70952960 82708480 84000800 85230080 87360832 88691200 103385600 106537600 107521024 109201040 131123200 134401280 136368128 136501300 141905920 165416960 168001600 170460160 174721664 177382400 206771200 213075200 215042048 218402080 262246400 268802560 273002600 336003200 340920320 349443328 354764800 413542400 426150400 430084096 436804160 537605120 546005200 672006400 681840640 698886656 709529600 827084800 852300800 873608320 1075210240 1092010400 1344012800 1397773312 1704601600 1747216640 2150420480 2184020800 2688025600 2795546624 3409203200 3494433280 4368041600 5376051200 5591093248 6988866560 8736083200 10752102400 13977733120 17472166400 27955466240 34944332800 69888665600 139777331200 274210365997 548420731994 1096841463988 1371051829985 2193682927976 2742103659970 3564734757961 4387365855952 5484207319940 6855259149925 7129469515922 8774731711904 10968414639880 11242625005877 13710518299850 14258939031844 17549463423808 17823673789805 21936829279760 22485250011754 27421036599700 28517878063688 35098926847616 35647347579610 43873658559520 44970500023508 46341551853493 54019442101409 54842073199400 56213125029385 57035756127376 70197853695232 71294695159220 87747317119040 89118368949025 89941000047016 92683103706986 108038884202818 109684146398800 112426250058770 114071512254752 140395707390464 142589390318440 146154125076401 175494634238080 178236737898050 179882000094032 185366207413972 216077768405636 219368292797600 224852500117540 228143024509504 231707759267465 270097210507045 280791414780928 281065625146925 285178780636880 292308250152802 350989268476160 356473475796100 359764000188064 370732414827944 432155536811272 438736585595200 449705000235080 456286049019008 463415518534930 540194421014090 561582829561856 562131250293850 570357561273760 584616500305604 701978536952320 702252747318317 712946951592200 719528000376128 730770625382005 741464829655888 864311073622544 877473171190400 899410000470160 912572098038016 926831037069860 1080388842028180 1123165659123712 1124262500587700 1140715122547520 1158538796337325 1169233000611208 1350486052535225 1403957073904640 1404505494636634 1425893903184400 1439056000752256 1461541250764010 1482929659311776 1728622147245088 1754946342380800 1798820000940320 1825144196076032 1853662074139720 1900003625993213 2160777684056360 2214797126157769 2248525001175400 2281430245095040 2317077592674650 2338466001222416 2700972105070450 2807914147809280 2809010989273268 2851787806368800 2878112001504512 2923082501528020 2965859318623552 3457244294490176 3509892684761600 3511263736591585 3597640001880640 3650288392152064 3653853126910025 3707324148279440 3800007251986426 4321555368112720 4429594252315538 4497050002350800 4562860490190080 4634155185349300 4676932002444832 5401944210140900 5615828295618560 5618021978546536 5703575612737600 5756224003009024 5846165003056040 5931718637247104 6914488588980352 7019785369523200 7022527473183170 7195280003761280 7300576784304128 7307706253820050 7414648296558880 7600014503972852 8643110736225440 8859188504631076 8994100004701600 9125720980380160 9129285715138121 9268310370698600 9353864004889664 9500018129966065 10803888420281800 11073985630788845 11236043957093072 11407151225475200 11512448006018048 11692330006112080 11863437274494208 13828977177960704 14039570739046400 14045054946366340 14390560007522560 14601153568608256 14615412507640100 14829296593117760 15200029007945704 17286221472450880 17556318682957925 17718377009262152 17988200009403200 18251441960760320 18258571430276242 18536620741397200 18707728009779328 19000036259932130 21607776840563600 22147971261577690 22472087914186144 22814302450950400 23024896012036096 23384660012224160 23726874548988416 27657954355921408 28079141478092800 28090109892732680 28781120015045120 28792362640050997 29230825015280200 29658593186235520 30400058015891408 34572442944901760 35112637365915850 35436754018524304 35976400018806400 36502883921520640 36517142860552484 37073241482794400 37415456019558656 38000072519864260 43215553681127200 44295942523155380 44944175828372288 45628604901900800 45646428575690605 46049792024072192 46769320024448320 47453749097976832 47500090649830325 55315908711842816 55369928153944225 56180219785465360 57562240030090240 57584725280101994 58461650030560400 59317186372471040 60800116031782816 69144885889803520 70225274731831700 70873508037048608 71952800037612800 73005767843041280 73034285721104968 74146482965588800 74830912039117312 76000145039728520 86431107362254400 88591885046310760 89888351656744576 91257209803801600 91292857151381210 93538640048896640 94907498195953664 95000181299660650 110631817423685632 110739856307888450 112360439570930720 115124480060180480 115169450560203988 116923300061120800 118634372744942080 121600232063565632 138289771779607040 140450549463663400 141747016074097216 143905600075225600 143961813200254985 146068571442209936 148292965931177600 149661824078234624 152000290079457040 172862214724508800 177183770092621520 179776703313489152 182514419607603200 182585714302762420 187077280097793280 189814996391907328 190000362599321300 221263634847371264 221479712615776900 224720879141861440 228232142878453025 230248960120360960 230338901120407976 233846600122241600 237268745489884160 243200464127131264 276579543559214080 280901098927326800 283494032148194432 287811200150451200 287923626400509970 292137142884419872 296585931862355200 299323648156469248 304000580158914080 345724429449017600 354367540185243040 359553406626978304 365028839215206400 365171428605524840 374154560195586560 374300714320662961 380000725198642600 442959425231553800 449441758283722880 456464285756906050 460677802240815952 467693200244483200 474537490979768320 486400928254262528 553159087118428160 561802197854653600 566988064296388864 575622400300902400 575847252801019940 584274285768839744 593171863724710400 598647296312938496 608001160317828160 691448858898035200 708735080370486080 719106813253956608 719809066001274925 730342857211049680 748309120391173120 748601428641325922 760001450397285200 885918850463107600 898883516567445760 912928571513812100 921355604481631904 935386400488966400 949074981959536640 972801856508525056 1106318174236856320 1123604395709307200 1133976128592777728 1151244800601804800 1151694505602039880 1168548571537679488 1186343727449420800 1216002320635656320 1382897717796070400 1417470160740972160 1438213626507913216 1439618132002549850 1460685714422099360 1496618240782346240 1497202857282651844 1520002900794570400 1771837700926215200 1797767033134891520 1825857143027624200 1842711208963263808 1870772800977932800 1871503571603314805 1945603713017050112 2247208791418614400 2267952257185555456 2303389011204079760 2337097143075358976 2372687454898841600 2432004641271312640 2765795435592140800 2834940321481944320 2876427253015826432 2879236264005099700 2921371428844198720 2993236481564692480 2994405714565303688 3040005801589140800 3543675401852430400 3595534066269783040 3651714286055248400 3685422417926527616 3741545601955865600 3743007143206629610 3891207426034100224 4494417582837228800 4535904514371110912 4606778022408159520 4674194286150717952 4745374909797683200 4864009282542625280 5531590871184281600 5669880642963888640 5758472528010199400 5842742857688397440 5988811429130607376 6080011603178281600 7087350803704860800 7191068132539566080 7303428572110496800 7370844835853055232 7483091203911731200 7486014286413259220 7782414852068200448 8988835165674457600 9071809028742221824 9213556044816319040 9348388572301435904 9357517858016574025 9728018565085250560 11339761285927777280 11516945056020398800 11685485715376794880 11977622858261214752 12160023206356563200 14174701607409721600 14382136265079132160 14606857144220993600 14741689671706110464 14966182407823462400 14972028572826518440 17977670331348915200 18427112089632638080 18696777144602871808 18715035716033148050 19456037130170501120 22679522571855554560 23033890112040797600 23370971430753589760 23955245716522429504 24320046412713126400 28349403214819443200 29213714288441987200 29483379343412220928 29944057145653036880 35955340662697830400 36854224179265276160 37393554289205743616 37430071432066296100 38912074260341002240 45359045143711109120 46067780224081595200 46741942861507179520 47910491433044859008 48640092825426252800 56698806429638886400 58427428576883974400 58966758686824441856 59888114291306073760 71910681325395660800 73708448358530552320 74860142864132592200 92135560448163190400 93483885723014359040 95820982866089718016 97280185650852505600 113397612859277772800 116854857153767948800 117933517373648883712 119776228582612147520 147416896717061104640 149720285728265184400 184271120896326380800 186967771446028718080 191641965732179436032 194560371301705011200 226795225718555545600 233709714307535897600 239552457165224295040 294833793434122209280 299440571456530368800 368542241792652761600 383283931464358872064 467419428615071795200 479104914330448590080 589667586868244418560 598881142913060737600 737084483585305523200 766567862928717744128 934838857230143590400 958209828660897180160 1197762285826121475200 1474168967170611046400 1533135725857435488256 1916419657321794360320 2395524571652242950400 2948337934341222092800 3832839314643588720640 4791049143304485900800 7665678629287177441280 9582098286608971801600 19164196573217943603200 38328393146435887206400
- Sum of all divisors σ(n): 105961490487948689032824
- Sum of proper divisors (its aliquot sum) s(n): 67633097341512801826424
- 38328393146435887206400 is an abundant number, because the sum of its proper divisors (67633097341512801826424) is greater than itself. Its abundance is 29304704195076914620024
Bases of 38328393146435887206400
- Binary: 10000001110111001001010011101001111000100111001110111010010010010000000000002
- Hexadecimal: 0x81DC94E9E273BA49000
- Base-36: 68OX5UDKECOYZGG
Squares and roots of 38328393146435887206400
- 38328393146435887206400 squared (383283931464358872064002) is 1469065721187753489744611692325503196200960000
- 38328393146435887206400 cubed (383283931464358872064003) is 56306928519636584788691487237096907346290508410286467547398144000000
-
The
square root of 38328393146435887206400 is 195776385568.9339444149 -
The
cube root of 38328393146435887206400 is 33716322.8831093613
Scales and comparisons
How big is 38328393146435887206400?- 38,328,393,146,435,887,206,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 38,328,393,146,435,887,206,400 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 38328393146435887206400 cubic inches would be around 2809693.6 feet tall.
Recreational maths with 38328393146435887206400
- 38328393146435887206400 backwards is 00460278853464139382383
- The number of decimal digits it has is: 23
- The sum of 38328393146435887206400's digits is 97
- More coming soon!
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"Number 38328393146435887206400 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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The information we have on file for 38328393146435887206400 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 38328393146435887206400, math, Factors of 38328393146435887206400, curriculum, school, college, exams, university, Prime factorization of 38328393146435887206400, STEM, science, technology, engineering, physics, economics, calculator, thirty-eight sextillion, three hundred twenty-eight quintillion, three hundred ninety-three quadrillion, one hundred forty-six trillion, four hundred thirty-five billion, eight hundred eighty-seven million, two hundred six thousand, four hundred.