48138452601427504200
48,138,452,601,427,504,200 is an even composite number composed of seven prime numbers multiplied together.
48138452601427504200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 48138452601427504200:
23 × 3 × 52 × 232 × 3312 × 10912 × 1163
(2 × 2 × 2 × 3 × 5 × 5 × 23 × 23 × 331 × 331 × 1091 × 1091 × 1163)See below for interesting mathematical facts about the number 48138452601427504200 from the Numbermatics database.
Names of 48138452601427504200
- Cardinal: 48138452601427504200 can be written as Forty-eight quintillion, one hundred thirty-eight quadrillion, four hundred fifty-two trillion, six hundred one billion, four hundred twenty-seven million, five hundred four thousand, two hundred.
Scientific notation
- Scientific notation: 4.81384526014275042 × 1019
Factors of 48138452601427504200
Divisors of 48138452601427504200
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 331 345 460 529 552 575 600 662 690 920 993 1058 1091 1150 1163 1324 1380 1587 1655 1725 1986 2116 2182 2300 2326 2645 2648 2760 3174 3273 3310 3450 3489 3972 4232 4364 4600 4652 4965 5290 5455 5815 6348 6546 6620 6900 6978 7613 7935 7944 8275 8728 9304 9930 10580 10910 11630 12696 13092 13225 13240 13800 13956 15226 15870 16365 16550 17445 19860 21160 21820 22839 23260 24825 25093 26184 26450 26749 27275 27912 29075 30452 31740 32730 33100 34890 38065 39675 39720 43640 45678 46520 49650 50186 52900 53498 54550 58150 60904 63480 65460 66200 69780 75279 76130 79350 80247 81825 87225 91356 99300 100372 105800 106996 109100 109561 114195 116300 125465 130920 133745 139560 150558 152260 158700 160494 163650 174450 175099 182712 190325 198600 200744 213992 218200 219122 228390 232600 250930 267490 301116 304520 317400 320988 327300 328683 348900 350198 361121 376395 380650 384953 401235 438244 456780 501860 525297 534980 547805 570975 577139 602232 615227 627325 641976 654600 657366 668725 697800 700396 722242 752790 761300 769906 802470 875495 876488 913560 1003720 1050594 1069960 1083363 1095610 1141950 1154278 1154859 1190281 1230454 1254650 1268833 1314732 1337450 1400792 1444484 1505580 1522600 1539812 1604940 1643415 1731417 1750990 1805605 1845681 1881975 1924765 2006175 2101188 2166726 2191220 2283900 2308556 2309718 2380562 2460908 2509300 2519903 2537666 2626485 2629464 2674900 2739025 2885695 2888968 3011160 3076135 3079624 3209880 3286830 3462834 3501980 3570843 3611210 3691362 3763950 3806499 3849530 4012350 4202376 4333452 4377475 4382440 4567800 4617112 4619436 4761124 4921816 5018600 5039806 5075332 5252970 5349800 5416815 5478050 5771390 5774295 5951405 6152270 6344165 6573660 6925668 7003960 7141686 7222420 7382724 7527900 7559709 7612998 7699060 8024700 8217075 8305783 8657085 8666904 8754950 8853919 9028025 9228405 9238872 9522248 9623825 10079612 10150664 10505940 10833630 10956100 11542780 11548590 11902810 12304540 12599515 12688330 13132425 13147320 13851336 14283372 14428475 14444840 14765448 15055800 15119418 15225996 15380675 15398120 16049400 16434150 16611566 17314170 17509900 17707838 17854215 18056050 18456810 19032495 19247650 20159224 21011880 21667260 21912200 23085560 23097180 23805620 24609080 24917349 25199030 25376660 26264850 26561757 27084075 27376463 28566744 28856950 28871475 29183159 29757025 30238836 30451992 30761350 31720825 32868300 33223132 34628340 35019800 35415676 35708430 36112100 36913620 37798545 38064990 38495300 41528915 43285425 43334520 44269595 46142025 46194360 47611240 49834698 50398060 50753320 52529700 53123514 54168150 54752926 57713900 57742950 57957769 58366318 59514050 60477672 61522700 62997575 63441650 65736600 66446264 69256680 70831352 71416860 72224200 73827240 75597090 76129980 76990600 82129389 83057830 86570850 87549477 88539190 89271075 92284050 95162475 99669396 100796120 105059400 106247028 108336300 109505852 115427800 115485900 115915538 116732636 119028100 119531051 123045400 124586745 125995150 126883300 127419443 132808785 136882315 142833720 145915795 151194180 152259960 164258778 166115660 173141700 173873307 175098954 177078380 178542150 184568100 188992725 190324950 191033009 199338792 203640137 207644575 212494056 216672600 219011704 221347975 230971800 231831076 233465272 238056200 239062102 249173490 251990300 253766600 254838886 265617570 273764630 289788845 291831590 302388360 328517556 332231320 346283400 347746614 350197908 354156760 357084300 358593153 369136200 377985450 380649900 382066018 382258329 393983011 407280274 410646945 415289150 419983723 437747385 442695950 463662152 478124204 498346980 503980600 509677772 531235140 547529260 573099027 579577690 583663180 597655255 610920411 622933725 629658649 637097215 657035112 664043925 671212657 684411575 695493228 700395816 714168600 717186306 729578975 755970900 761299800 764132036 764516658 787966022 814560548 821293890 830578300 839967446 869366535 875494770 885391900 955165045 956248408 996693960 1018200685 1019355544 1062470280 1095058520 1146198054 1159155380 1167326360 1181949033 1195310510 1221840822 1245867450 1259317298 1259951169 1274194430 1328087850 1342425314 1368823150 1384296803 1390986456 1434372612 1448944225 1459157950 1511941800 1528264072 1529033316 1575932044 1629121096 1642587780 1661156600 1679934892 1738733070 1750989540 1770783800 1792965765 1888975947 1910330090 1911291645 1969915055 2013637971 2036401370 2053234725 2099918615 2188736925 2292396108 2318310760 2363898066 2390621020 2443681644 2491734900 2518634596 2519902338 2548388860 2656175700 2684850628 2737646300 2749214173 2768593606 2865495135 2868745224 2897888450 2918315900 2930647189 2988276275 3054602055 3058066632 3148293245 3151864088 3185486075 3285175560 3356063285 3359869784 3477466140 3501979080 3585931530 3777951894 3820660180 3822583290 3939830110 4027275942 4072802740 4106469450 4152890409 4199837230 4346832675 4377473850 4584792216 4727796132 4775825225 4781242040 4887363288 4983469800 5037269192 5039804676 5091003425 5096777720 5312351400 5369701256 5475292600 5498428346 5537187212 5730990270 5795776900 5836631800 5861294378 5909745165 5976552550 6109204110 6296586490 6299755845 6370972150 6712126570 6921484015 6954932280 7171863060 7555903788 7641320360 7645166580 7879660220 8054551884 8145605480 8212938900 8247642519 8305780818 8399674460 8693665350 8754947700 8791941567 8964828825 9061609253 9444879735 9455592264 9551650450 9556458225 9659625629 9849575275 10068189855 10079609352 10182006850 10499593075 10996856692 11074374424 11461980540 11591553800 11722588756 11819490330 11953105100 12218408220 12593172980 12599511690 12741944300 13424253140 13746070865 13842968030 14327475675 14343726120 14653235945 15111807576 15273010275 15290333160 15741466225 15759320440 16109103768 16425877800 16495285038 16611561636 16780316425 16799348920 17387330700 17509895400 17583883134 17929657650 18123218506 18889759470 19103300900 19112916450 19319251258 19699150550 20136379710 20364013700 20764452045 20999186150 21993713384 22923961080 23445177512 23638980660 23906210200 24436816440 25186345960 25199023380 25483888600 26848506280 27184827759 27492141730 27685936060 28654951350 28978876887 29306471890 29548725825 30546020550 31482932450 31498779225 31838826469 32990570076 33223123272 33560632850 34607420075 34774661400 35167766268 35859315300 36246437012 37779518940 38206601800 38225832900 38638502516 39398301100 40272759420 40728027400 41238212595 41528904090 41998372300 43959707835 45308046265 47224398675 47277961320 48298128145 50340949275 50398046760 54369655518 54984283460 55371872120 57309902700 57957753774 58612943780 59097451650 61092041100 62965864900 62997558450 63231925979 63677652938 65981140152 67121265700 67404885347 68730354325 69214840150 70335532536 71718630600 72492874024 73266179725 75559037880 76451665800 77277005032 78796602200 80545518840 82476425190 83057808180 83996744600 87919415670 90616092530 94448797350 95516479407 96596256290 100681898550 103822260225 108739311036 109968566920 114619805400 115915507548 117225887560 118194903300 122184082200 125931729800 125995116900 126463851958 127355305876 130408376641 134242531400 134809770694 135924138795 137460708650 138429680300 139014612313 144894384435 146532359450 159194132345 164952850380 166115616360 175838831340 181232185060 188897594700 189695777937 191032958814 193192512580 201363797100 202214656041 206191062975 207644520450 208417012819 217478622072 219798539175 222171389467 226540231325 231831015096 236389806600 241490640725 251990233800 252927703916 254710611752 260816753282 269619541388 271848277590 274921417300 276859360600 278029224626 289788768870 293064718900 316159629895 318388264690 329905700760 337024426735 351677662680 362464370120 377795189400 379391555874 382065917628 386385025160 391225129923 402727594200 404429312082 412382125950 415289040900 416834025638 417043836939 439597078350 444342778934 453080462650 458202241793 477582397035 482981281450 505855407832 521633506564 539239082776 543696555180 549842834600 556058449252 579577537740 586129437800 625251038457 632319259790 636776529380 652041883205 666514168401 674048853470 679620693975 695073061565 724471922175 732293008787 758783111748 764131835256 782450259846 795970661725 808858624164 824764251900 830578081800 833668051276 834087673878 879194156700 888685557868 906160925300 916404483586 948478889685 955164794070 965962562900 1011073280205 1042085064095 1043267013128 1087393110360 1110856947335 1112116898504 1159155075480 1250502076914 1264638519580 1273553058760 1304083766410 1333028336802 1348097706940 1359241387950 1374606725379 1390146123130 1448943844350 1464586017574 1517566223496 1564900519692 1580798149475 1591941323450 1617717248328 1649528503800 1667336102552 1668175347756 1685122133675 1758388313400 1777371115736 1812321850600 1832808967172 1896957779370 1910329588140 1931925125800 1956125649615 2022146560410 2084170128190 2085219184695 2196879026361 2221713894670 2291011208965 2387911985175 2501004153828 2529277039160 2608167532820 2666056673604 2696195413880 2718482775900 2749213450758 2780292246260 2897887688700 2929172035148 2999392662743 3126255192285 3129801039384 3161596298950 3183882646900 3197336083199 3260209416025 3332570842005 3336350695512 3370244267350 3475365307825 3661465043935 3665617934344 3793915558740 3820659176280 3912251299230 4044293120820 4168340256380 4170438369390 4393758052722 4443427789340 4582022417930 4742394448425 4775823970350 5002008307656 5055366401025 5210425320475 5216335065640 5332113347208 5436965551800 5498426901516 5554284736675 5560584492520 5795775377400 5858344070296 5998785325486 6252510384570 6323192597900 6367765293800 6394672166398 6520418832050 6665141684010 6740488534700 6873033626895 6950730615650 7322930087870 7587831117480 7824502598460 8088586241640 8336680512760 8340876738780 8787516105444 8886855578680 8998177988229 9164044835860 9484788896850 9551647940700 9592008249597 9780628248075 10110732802050 10420850640950 10426095923475 10538651561239 10984395131805 10996853803032 11108569473350 11455056044825 11997570650972 12505020769140 12646385195800 12789344332796 13040837664100 13330283368020 13480977069400 13746067253790 13901461231300 14645860175740 14996963313715 15631275961425 15649005196920 15986680415995 16662854210025 16681753477560 17575032210888 17996355976458 18307325219675 18328089671720 18969577793700 19103295881400 19184016499194 19561256496150 20221465604100 20841701281900 20852191846950 21077303122478 21968790263610 22217138946700 22910112089650 23995141301944 25010041538280 25578688665592 26081675328200 26660566736040 27492134507580 27802922462600 29291720351480 29993926627430 31262551922850 31615954683717 31973360831990 33325708420050 34365168134475 35992711952916 36614650439350 37939155587400 38368032998388 39122512992300 40442931208200 41683402563800 41704383693900 42154606244956 43937580527220 44434277893400 44990889941145 45820224179300 47960041247985 52693257806195 54921975659025 54984269015160 59987853254860 62525103845700 63231909367434 63946721663980 66651416840100 68730336268950 68986031243089 71985423905832 73229300878700 73538729913577 74984816568575 76736065996776 78245025984600 79933402079975 83408767387800 84309212489912 87875161054440 89981779882290 91640448358600 95920082495970 105386515612390 109843951318050 119975706509720 125050207691400 126463818734868 127893443327960 133302833680200 137460672537900 137972062486178 146458601757400 147077459827154 149969633137150 151664942033483 158079773418585 159866804159950 179963559764580 191840164991940 206958093729267 210773031224780 219687902636100 220616189740731 224954449705725 239800206239925 242388985908497 252927637469736 263466289030975 274921345075800 275944124972356 294154919654308 299939266274300 303329884066966 316159546837170 319733608319900 344930156215445 359927119529160 367693649567885 383680329983880 413916187458534 421546062449560 439375805272200 441232379481462 449908899411450 454994826100449 479600412479850 484777971816994 526932578061950 551888249944712 588309839308616 599878532548600 606659768133932 632319093674340 639467216639800 689860312430890 727166957725491 735387299135770 758324710167415 790398867092925 827832374917068 882464758962924 899817798822900 909989652200898 959200824959700 969555943633988 1034790468646335 1053865156123900 1103080948703655 1211944929542485 1213319536267864 1264638187348680 1379720624861780 1454333915450982 1470774598271540 1516649420334830 1580797734185850 1655664749834136 1724650781077225 1764929517925848 1799635597645800 1819979304401796 1838468247839425 1918401649919400 1939111887267976 2069580937292670 2107730312247800 2206161897407310 2274974130502245 2423889859084970 2759441249723560 2908667830901964 2941549196543080 3033298840669660 3161595468371700 3449301562154450 3488293666770109 3635834788627455 3639958608803592 3676936495678850 3791623550837075 4139161874585340 4412323794814620 4549948261004490 4847779718169940 5173952343231675 5515404743518275 5817335661803928 6059724647712425 6066597681339320 6323190936743400 6898603124308900 6976587333540218 7271669577254910 7353872991357700 7583247101674150 8278323749170680 8824647589629240 9099896522008980 9695559436339880 10347904686463350 10464881000310327 11030809487036550 11374870652511225 12119449295424850 13797206248617800 13953174667080436 14543339154509820 14707745982715400 15166494203348300 17441468333850545 18179173943137275 18199793044017960 20695809372926700 20929762000620654 22061618974073100 22749741305022450 24238898590849700 27906349334160872 29086678309019640 30332988406696600 34882936667701090 36358347886274550 41391618745853400 41859524001241308 44123237948146200 45499482610044900 48477797181699400 52324405001551635 69765873335402180 72716695772549100 80230754335712507 83719048002482616 87207341669252725 90998965220089800 104648810003103270 139531746670804360 145433391545098200 160461508671425014 174414683338505450 209297620006206540 240692263007137521 261622025007758175 320923017342850028 348829366677010900 401153771678562535 418595240012413080 481384526014275042 523244050015516350 641846034685700056 697658733354021800 802307543357125070 962769052028550084 1046488100031032700 1203461315035687605 1604615086714250140 1925538104057100168 2005768858392812675 2092976200062065400 2406922630071375210 3209230173428500280 4011537716785625350 4813845260142750420 6017306575178438025 8023075433571250700 9627690520285500840 12034613150356876050 16046150867142501400 24069226300713752100 48138452601427504200
- Sum of all divisors σ(n): 156750465347034133680
- Sum of proper divisors (its aliquot sum) s(n): 108612012745606629480
- 48138452601427504200 is an abundant number, because the sum of its proper divisors (108612012745606629480) is greater than itself. Its abundance is 60473560144179125280
Bases of 48138452601427504200
- Binary: 1010011100000011100010001110010111101100010001000010101100010010002
- Hexadecimal: 0x29C0E2397B110AC48
- Base-36: A5QEH9YX7T5JC
Squares and roots of 48138452601427504200
- 48138452601427504200 squared (481384526014275042002) is 2317310618859882446538039608241017640000
- 48138452601427504200 cubed (481384526014275042003) is 111551747388771087835370535182172124039434271293374088000000
-
The
square root of 48138452601427504200 is 6938187991.2140968307 -
The
cube root of 48138452601427504200 is 3637732.0685386589
Scales and comparisons
How big is 48138452601427504200?- 48,138,452,601,427,504,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,138,452,601,427,504,200 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 48138452601427504200 cubic inches would be around 303144.3 feet tall.
Recreational maths with 48138452601427504200
- 48138452601427504200 backwards is 00240572410625483184
- The number of decimal digits it has is: 20
- The sum of 48138452601427504200's digits is 66
- More coming soon!
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"Number 48138452601427504200 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 48138452601427504200 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/48138452601427504200/
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The information we have on file for 48138452601427504200 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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