138158647981061990400
138,158,647,981,061,990,400 is an even composite number composed of six prime numbers multiplied together.
138158647981061990400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138158647981061990400:
211 × 33 × 52 × 47 × 137 × 15521222489
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 47 × 137 × 15521222489)See below for interesting mathematical facts about the number 138158647981061990400 from the Numbermatics database.
Names of 138158647981061990400
- Cardinal: 138158647981061990400 can be written as One hundred thirty-eight quintillion, one hundred fifty-eight quadrillion, six hundred forty-seven trillion, nine hundred eighty-one billion, sixty-one million, nine hundred ninety thousand, four hundred.
Scientific notation
- Scientific notation: 1.381586479810619904 × 1020
Factors of 138158647981061990400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 19
- Sum of prime factors: 15521222683
Divisors of 138158647981061990400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 47 48 50 54 60 64 72 75 80 90 94 96 100 108 120 128 135 137 141 144 150 160 180 188 192 200 216 225 235 240 256 270 274 282 288 300 320 360 376 384 400 411 423 432 450 470 480 512 540 548 564 576 600 640 675 685 705 720 752 768 800 822 846 864 900 940 960 1024 1080 1096 1128 1152 1175 1200 1233 1269 1280 1350 1370 1410 1440 1504 1536 1600 1644 1692 1728 1800 1880 1920 2048 2055 2115 2160 2192 2256 2304 2350 2400 2466 2538 2560 2700 2740 2820 2880 3008 3072 3200 3288 3384 3425 3456 3525 3600 3699 3760 3840 4110 4230 4320 4384 4512 4608 4700 4800 4932 5076 5120 5400 5480 5640 5760 6016 6144 6165 6345 6400 6439 6576 6768 6850 6912 7050 7200 7398 7520 7680 8220 8460 8640 8768 9024 9216 9400 9600 9864 10152 10240 10275 10575 10800 10960 11280 11520 12032 12330 12690 12800 12878 13152 13536 13700 13824 14100 14400 14796 15040 15360 16440 16920 17280 17536 18048 18432 18495 18800 19200 19317 19728 20304 20550 21150 21600 21920 22560 23040 24064 24660 25380 25600 25756 26304 27072 27400 27648 28200 28800 29592 30080 30720 30825 31725 32195 32880 33840 34560 35072 36096 36990 37600 38400 38634 39456 40608 41100 42300 43200 43840 45120 46080 48128 49320 50760 51200 51512 52608 54144 54800 55296 56400 57600 57951 59184 60160 61650 63450 64390 65760 67680 69120 70144 72192 73980 75200 76800 77268 78912 81216 82200 84600 86400 87680 90240 92160 92475 96256 96585 98640 101520 103024 105216 108288 109600 112800 115200 115902 118368 120320 123300 126900 128780 131520 135360 138240 140288 144384 147960 150400 153600 154536 157824 160975 162432 164400 169200 172800 173853 175360 180480 184950 193170 197280 203040 206048 210432 216576 219200 225600 230400 231804 236736 240640 246600 253800 257560 263040 270720 276480 280576 288768 289755 295920 300800 309072 315648 321950 324864 328800 338400 345600 347706 350720 360960 369900 386340 394560 406080 412096 420864 433152 438400 451200 460800 463608 473472 481280 482925 493200 507600 515120 526080 541440 579510 591840 601600 618144 631296 643900 649728 657600 676800 691200 695412 701440 721920 739800 772680 789120 812160 824192 841728 866304 869265 876800 902400 927216 946944 965850 986400 1015200 1030240 1052160 1082880 1159020 1183680 1203200 1236288 1262592 1287800 1299456 1315200 1353600 1382400 1390824 1402880 1443840 1448775 1479600 1545360 1578240 1624320 1648384 1738530 1753600 1804800 1854432 1893888 1931700 1972800 2030400 2060480 2104320 2165760 2318040 2367360 2406400 2472576 2525184 2575600 2598912 2630400 2707200 2781648 2897550 2959200 3090720 3156480 3248640 3296768 3477060 3507200 3609600 3708864 3787776 3863400 3945600 4060800 4120960 4208640 4331520 4346325 4636080 4734720 4945152 5151200 5260800 5414400 5563296 5795100 5918400 6181440 6312960 6497280 6593536 6954120 7014400 7219200 7417728 7575552 7726800 7891200 8121600 8241920 8692650 9272160 9469440 9890304 10302400 10521600 10828800 11126592 11590200 11836800 12362880 12625920 12994560 13187072 13908240 14835456 15453600 15782400 16243200 16483840 17385300 18544320 18938880 19780608 20604800 21043200 21657600 22253184 23180400 23673600 24725760 27816480 29670912 30907200 31564800 32486400 32967680 34770600 37088640 37877760 39561216 41209600 44506368 46360800 47347200 49451520 55632960 59341824 61814400 63129600 64972800 65935360 69541200 74177280 82419200 89012736 92721600 94694400 98903040 111265920 118683648 123628800 139082400 148354560 164838400 178025472 185443200 189388800 197806080 222531840 247257600 278164800 296709120 329676800 356050944 370886400 445063680 494515200 556329600 593418240 741772800 890127360 989030400 1112659200 1483545600 1780254720 2225318400 2967091200 4450636800 8901273600 15521222489 31042444978 46563667467 62084889956 77606112445 93127334934 124169779912 139691002401 155212224890 186254669868 232818337335 248339559824 279382004802 310424449780 372509339736 388030562225 419073007203 465636674670 496679119648 558764009604 620848899560 698455012005 729497456983 745018679472 776061124450 838146014406 931273349340 993358239296 1117528019208 1164091686675 1241697799120 1396910024010 1458994913966 1490037358944 1552122248900 1676292028812 1862546698680 1986716478592 2095365036015 2126407480993 2188492370949 2235056038416 2328183373350 2483395598240 2793820048020 2917989827932 2980074717888 3104244497800 3352584057624 3492275060025 3647487284915 3725093397360 3973432957184 4190730072030 4252814961986 4376984741898 4470112076832 4656366746700 4966791196480 5587640096040 5835979655864 5960149435776 6208488995600 6379222442979 6565477112847 6705168115248 6984550120050 7294974569830 7450186794720 7946865914368 8381460144060 8505629923972 8753969483796 8940224153664 9312733493400 9933582392960 10476825180075 10632037404965 10942461854745 11175280192080 11671959311728 11920298871552 12416977991200 12758444885958 13130954225694 13410336230496 13969100240100 14589949139660 14900373589440 15893731828736 16762920288120 17011259847944 17507938967592 17880448307328 18237436424575 18625466986800 19137667328937 19696431338541 19867164785920 20953650360150 21264074809930 21884923709490 22350560384160 23343918623456 23840597743104 24833955982400 25516889771916 26261908451388 26820672460992 27938200480200 29179898279320 29800747178880 31787463657472 31896112214895 32827385564235 33525840576240 34022519695888 35015877935184 35760896614656 36474872849150 37250933973600 38275334657874 39392862677082 39734329571840 41907300720300 42528149619860 43769847418980 44701120768320 46687837246912 47681195486208 49667911964800 51033779543832 52523816902776 53160187024825 53641344921984 54712309273725 55876400960400 57413001986811 58359796558640 59601494357760 63792224429790 65654771128470 67051681152480 68045039391776 70031755870368 71521793229312 72949745698300 74501867947200 76550669315748 78785725354164 79468659143680 83814601440600 85056299239720 87539694837960 89402241536640 93375674493824 95362390972416 95688336644685 98482156692705 99335823929600 99941151606671 102067559087664 105047633805552 106320374049650 107282689843968 109424618547450 111752801920800 114826003973622 116719593117280 119202988715520 127584448859580 131309542256940 134103362304960 136090078783552 140063511740736 143043586458624 145899491396600 149003735894400 153101338631496 157571450708328 158937318287360 159480561074475 164136927821175 167629202881200 170112598479440 175079389675920 178804483073280 186751348987648 191376673289370 196964313385410 198671647859200 199882303213342 204135118175328 210095267611104 212640748099300 214565379687936 218849237094900 223505603841600 229652007947244 233439186234560 238405977431040 255168897719160 262619084513880 268206724609920 272180157567104 280127023481472 286087172917248 287065009934055 291798982793200 298007471788800 299823454820013 306202677262992 315142901416656 318961122148950 328273855642350 335258405762400 340225196958880 350158779351840 357608966146560 373502697975296 382753346578740 393928626770820 397343295718400 399764606426684 408270236350656 420190535222208 425281496198600 429130759375872 437698474189800 447011207683200 459304015894488 466878372469120 476811954862080 478441683223425 492410783463525 499705758033355 510337795438320 525238169027760 536413449219840 544360315134208 560254046962944 574130019868110 583597965586400 596014943577600 599646909640026 612405354525984 630285802833312 637922244297900 656547711284700 670516811524800 680450393917760 700317558703680 715217932293120 747005395950592 765506693157480 787857253541640 794686591436800 799529212853368 816540472701312 840381070444416 850562992397200 858261518751744 875396948379600 894022415366400 899470364460039 918608031788976 933756744938240 956883366446850 984821566927050 999411516066710 1020675590876640 1050476338055520 1072826898439680 1088720630268416 1120508093925888 1148260039736220 1167195931172800 1192029887155200 1199293819280052 1224810709051968 1260571605666624 1275844488595800 1313095422569400 1341033623049600 1360900787835520 1400635117407360 1430435864586240 1435325049670275 1494010791901184 1499117274100065 1531013386314960 1575714507083280 1599058425706736 1633080945402624 1680762140888832 1701125984794400 1750793896759200 1788044830732800 1798940728920078 1837216063577952 1867513489876480 1913766732893700 1969643133854100 1998823032133420 2041351181753280 2100952676111040 2145653796879360 2177441260536832 2241016187851776 2296520079472440 2334391862345600 2384059774310400 2398587638560104 2449621418103936 2498528790166775 2521143211333248 2551688977191600 2626190845138800 2682067246099200 2698411093380117 2721801575671040 2801270234814720 2870650099340550 2998234548200130 3062026772629920 3151429014166560 3198116851413472 3266161890805248 3361524281777664 3402251969588800 3501587793518400 3576089661465600 3597881457840156 3674432127155904 3735026979752960 3827533465787400 3939286267708200 3997646064266840 4082702363506560 4201905352222080 4291307593758720 4354882521073664 4482032375703552 4497351822300195 4593040158944880 4668783724691200 4797175277120208 4899242836207872 4997057580333550 5042286422666496 5103377954383200 5252381690277600 5364134492198400 5396822186760234 5443603151342080 5602540469629440 5741300198681100 5996469096400260 6124053545259840 6302858028333120 6396233702826944 6532323781610496 6723048563555328 6804503939177600 7003175587036800 7152179322931200 7195762915680312 7348864254311808 7470053959505920 7495586370500325 7655066931574800 7878572535416400 7995292128533680 8165404727013120 8403810704444160 8994703644600390 9186080317889760 9337567449382400 9594350554240416 9798485672415744 9994115160667100 10084572845332992 10206755908766400 10504763380555200 10728268984396800 10793644373520468 10887206302684160 11205080939258880 11482600397362200 11992938192800520 12248107090519680 12605716056666240 12792467405653888 13064647563220992 13446097127110656 13492055466900585 13609007878355200 14006351174073600 14391525831360624 14697728508623616 14991172741000650 15310133863149600 15757145070832800 15990584257067360 16330809454026240 16807621408888320 17989407289200780 18372160635779520 18675134898764800 19188701108480832 19596971344831488 19988230321334200 20169145690665984 20413511817532800 21009526761110400 21456537968793600 21587288747040936 21774412605368320 22410161878517760 22486759111500975 22965200794724400 23985876385601040 24496214181039360 25211432113332480 25584934811307776 26984110933801170 27218015756710400 28012702348147200 28783051662721248 29395457017247232 29982345482001300 30620267726299200 31514290141665600 31981168514134720 32661618908052480 33615242817776640 35978814578401560 36744321271559040 37350269797529600 38377402216961664 39193942689662976 39976460642668400 40338291381331968 40827023635065600 42019053522220800 43174577494081872 44973518223001950 45930401589448800 47971752771202080 48992428362078720 50422864226664960 51169869622615552 53968221867602340 54436031513420800 56025404696294400 57566103325442496 58790914034494464 59964690964002600 61240535452598400 63028580283331200 63962337028269440 65323237816104960 67230485635553280 67460277334502925 71957629156803120 73488642543118080 76754804433923328 79952921285336800 81654047270131200 84038107044441600 86349154988163744 89947036446003900 91860803178897600 95943505542404160 97984856724157440 100845728453329920 102339739245231104 107936443735204680 108872063026841600 112050809392588800 115132206650884992 117581828068988928 119929381928005200 122481070905196800 126057160566662400 127924674056538880 134920554669005850 143915258313606240 146977285086236160 153509608867846656 159905842570673600 163308094540262400 168076214088883200 172698309976327488 179894072892007800 183721606357795200 191887011084808320 195969713448314880 201691456906659840 204679478490462208 215872887470409360 230264413301769984 239858763856010400 244962141810393600 252114321133324800 255849348113077760 269841109338011700 287830516627212480 293954570172472320 307019217735693312 319811685141347200 326616189080524800 336152428177766400 345396619952654976 359788145784015600 367443212715590400 383774022169616640 431745774940818720 460528826603539968 479717527712020800 489924283620787200 504228642266649600 511698696226155520 539682218676023400 575661033254424960 587909140344944640 614038435471386624 639623370282694400 690793239905309952 719576291568031200 734886425431180800 767548044339233280 863491549881637440 921057653207079936 959435055424041600 979848567241574400 1008457284533299200 1023397392452311040 1079364437352046800 1151322066508849920 1279246740565388800 1381586479810619904 1439152583136062400 1469772850862361600 1535096088678466560 1726983099763274880 1842115306414159872 1918870110848083200 2158728874704093600 2302644133017699840 2558493481130777600 2763172959621239808 2878305166272124800 2939545701724723200 3070192177356933120 3453966199526549760 3837740221696166400 4317457749408187200 4605288266035399680 5116986962261555200 5526345919242479616 5756610332544249600 6907932399053099520 7675480443392332800 8634915498816374400 9210576532070799360 11513220665088499200 13815864798106199040 15350960886784665600 17269830997632748800 23026441330176998400 27631729596212398080 34539661995265497600 46052882660353996800 69079323990530995200 138158647981061990400
- Sum of all divisors σ(n): 522061707419598528000
- Sum of proper divisors (its aliquot sum) s(n): 383903059438536537600
- 138158647981061990400 is an abundant number, because the sum of its proper divisors (383903059438536537600) is greater than itself. Its abundance is 245744411457474547200
Bases of 138158647981061990400
- Binary: 11101111101010101100001111001010111110001110111000001101000000000002
- Hexadecimal: 0x77D561E57C7706800
- Base-36: T5NXDAW1QDXC0
Squares and roots of 138158647981061990400
- 138158647981061990400 squared (1381586479810619904002) is 19087812011955004396064606607609692160000
- 138158647981061990400 cubed (1381586479810619904003) is 2637146300488378077068943381538507858366663896820875264000000
-
The
square root of 138158647981061990400 is 11754090691.3747262613 -
The
cube root of 138158647981061990400 is 5169628.7768885963
Scales and comparisons
How big is 138158647981061990400?- 138,158,647,981,061,990,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,158,647,981,061,990,400 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 138158647981061990400 cubic inches would be around 430802.4 feet tall.
Recreational maths with 138158647981061990400
- 138158647981061990400 backwards is 004099160189746851831
- 138158647981061990400 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138158647981061990400's digits is 90
- More coming soon!
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Numbermatics. (2024). Number 138158647981061990400 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/138158647981061990400/
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The information we have on file for 138158647981061990400 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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