138105532388300400
138,105,532,388,300,400 is an even composite number composed of eight prime numbers multiplied together.
138105532388300400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138105532388300400:
24 × 33 × 52 × 7 × 11 × 29 × 131071 × 43691
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 11 × 29 × 131071 × 43691)See below for interesting mathematical facts about the number 138105532388300400 from the Numbermatics database.
Names of 138105532388300400
- Cardinal: 138105532388300400 can be written as One hundred thirty-eight quadrillion, one hundred five trillion, five hundred thirty-two billion, three hundred eighty-eight million, three hundred thousand, four hundred.
Scientific notation
- Scientific notation: 1.381055323883004 × 1017
Factors of 138105532388300400
Divisors of 138105532388300400
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 29 30 33 35 36 40 42 44 45 48 50 54 55 56 58 60 63 66 70 72 75 77 80 84 87 88 90 99 100 105 108 110 112 116 120 126 132 135 140 144 145 150 154 165 168 174 175 176 180 189 198 200 203 210 216 220 225 231 232 240 252 261 264 270 275 280 290 297 300 308 315 319 330 336 348 350 360 378 385 396 400 406 420 432 435 440 450 462 464 495 504 522 525 528 540 550 560 580 594 600 609 616 630 638 660 675 693 696 700 720 725 756 770 783 792 812 825 840 870 880 900 924 945 957 990 1008 1015 1044 1050 1080 1100 1155 1160 1188 1200 1218 1232 1260 1276 1305 1320 1350 1386 1392 1400 1450 1485 1512 1540 1566 1575 1584 1595 1624 1650 1680 1740 1800 1827 1848 1890 1914 1925 1980 2030 2079 2088 2100 2160 2175 2200 2233 2310 2320 2376 2436 2475 2520 2552 2610 2640 2700 2772 2800 2871 2900 2970 3024 3045 3080 3132 3150 3190 3248 3300 3465 3480 3600 3654 3696 3780 3828 3850 3915 3960 4060 4158 4176 4200 4350 4400 4466 4620 4725 4752 4785 4872 4950 5040 5075 5104 5220 5400 5481 5544 5742 5775 5800 5940 6090 6160 6264 6300 6380 6525 6600 6699 6930 6960 7308 7425 7560 7656 7700 7830 7920 7975 8120 8316 8400 8613 8700 8932 9135 9240 9450 9570 9744 9900 10150 10395 10440 10800 10962 11088 11165 11484 11550 11600 11880 12180 12528 12600 12760 13050 13200 13398 13860 14355 14616 14850 15120 15225 15312 15400 15660 15950 16240 16632 17226 17325 17400 17864 18270 18480 18900 19140 19575 19800 20097 20300 20790 20880 21924 22330 22968 23100 23760 23925 24360 25200 25520 26100 26796 27405 27720 28710 29232 29700 30450 30800 31320 31900 33264 33495 34452 34650 34800 35728 36540 37800 38280 39150 39600 40194 40600 41580 43065 43691 43848 44660 45675 45936 46200 47850 48720 51975 52200 53592 54810 55440 55825 57420 59400 60291 60900 62640 63800 66990 68904 69300 71775 73080 75600 76560 78300 80388 81200 83160 86130 87382 87696 89320 91350 92400 95700 100485 103950 104400 107184 109620 111650 114840 118800 120582 121800 127600 131071 131073 133980 137025 137808 138600 143550 146160 156600 160776 166320 167475 172260 174764 178640 182700 191400 200970 207900 215325 218455 219240 223300 229680 241164 243600 262142 262146 267960 274050 277200 287100 301455 305837 313200 321552 334950 344520 349528 365400 382800 393213 393219 401940 415800 430650 436910 438480 446600 480601 482328 502425 524284 524292 535920 548100 574200 602910 611674 655355 655365 669900 689040 699056 730800 786426 786438 803880 831600 861300 873820 893200 917497 917511 961202 964656 1004850 1048568 1048584 1092275 1096200 1148400 1179639 1179657 1205820 1223348 1267039 1310710 1310730 1339800 1441781 1441803 1507275 1529185 1572852 1572876 1607760 1722600 1747640 1834994 1835022 1922404 1966065 1966095 2009700 2097136 2097168 2184550 2192400 2359278 2359314 2403005 2411640 2446696 2534078 2621420 2621460 2679600 2752491 2752533 2883562 2883606 3014550 3058370 3145704 3145752 3276775 3276825 3364207 3445200 3495280 3538917 3669988 3670044 3801059 3801117 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962072674248 996432412614 1002159035675 1007885658736 1030792150980 1053653554800 1053669632400 1082331758529 1133871366078 1145324612200 1162504481383 1202590842810 1236950581176 1259857073420 1288490188725 1322849927091 1328576550152 1374389534640 1443109011372 1494648618921 1511828488104 1546188226470 1574821341775 1580480332200 1603454457080 1660720687690 1700807049117 1717986918300 1763799902788 1803886264215 1826792756459 1889785610130 1924145348496 1992864825228 2004318071350 2061584301960 2164663517058 2204749878485 2267742732156 2290649224400 2325008962766 2405181685620 2473901162352 2491081031535 2519714146840 2576980377450 2645699854182 2657153100304 2834678415195 2886218022744 2989297237842 3006477107025 3023656976208 3092376452940 3149642683550 3160960664400 3206908914160 3321441375380 3401614098234 3435973836600 3487513444149 3527599805576 3607772528430 3653585512918 3779571220260 3865470566175 3968549781273 3985729650456 4008636142700 4123168603920 4151801719225 4329327034116 4409499756970 4483945856763 4535485464312 4650017925532 4724464025325 4810363371240 4982162063070 5039428293680 5153960754900 5291399708364 5411658792645 5480378269377 5669356830390 5772436045488 5812522406915 5978594475684 6012954214050 6184752905880 6299285367100 6614249635455 6642882750760 6803228196468 6871947673200 6975026888298 7055199611152 7215545056860 7307171025836 7473243094605 7559142440520 7730941132350 7937099562546 7971459300912 8017272285400 8303603438450 8504035245585 8658654068232 8818999513940 8967891713526 9019431321075 9070970928624 9133963782295 9300035851064 9448928050650 9620726742480 9964324126140 10307921509800 10462540332447 10582799416728 10823317585290 10960756538754 11023749392425 11338713660780 11625044813830 11905649343819 11957188951368 12025908428100 12369505811760 12455405157675 12598570734200 12787549295213 13228499270910 13285765501520 13606456392936 13950053776596 14173392075975 14431090113720 14614342051672 14946486189210 15118284881040 15461882264700 15874199125092 16034544570800 16441134808131 16607206876900 17008070491170 17317308136464 17437567220745 17637999027880 17935783427052 18038862642150 18267927564590 18600071702128 18897856101300 19842748906365 19928648252280 20615843019600 20925080664894 21165598833456 21646635170580 21921513077508 22047498784850 22419729283815 22677427321560 23250089627660 23811298687638 23914377902736 24051816856200 24910810315350 25197141468400 25575098590426 26456998541820 27058293963225 27212912785872 27401891346885 27900107553192 28346784151950 28862180227440 29062612034575 29228684103344 29892972378420 30923764529400 31387620997341 31748398250184 32882269616262 33071248177275 33214413753800 34016140982340 34875134441490 35275998055760 35871566854104 36077725284300 36535855129180 37366215473025 37795712202600 38362647885639 39685497812730 39857296504560 41850161329788 42520176227925 43293270341160 43843026155016 44094997569700 44839458567630 45354854643120 45669818911475 46500179255320 47622597375276 48103633712400 49323404424393 49821620630700 51150197180852 52312701662235 52913997083640 54116587926450 54803782693770 55800215106384 56693568303900 58125224069150 59528246719095 59785944756840 61847529058800 62775241994682 63496796500368 63937746476065 65764539232524 66142496354550 66428827507600 68032281964680 69750268882980 71743133708208 72155450568600 73071710258360 74732430946050 75591424405200 76725295771278 79370995625460 82205674040655 83700322659576 85040352455850 86586540682320 87187836103725 87686052310032 88189995139400 89678917135260 91339637822950 93000358510640 95245194750552 98646808848786 99213744531825 99643241261400 102300394361704 104625403324470 105827994167280 108233175852900 109607565387540 112098646419075 113387136607800 115087943656917 116250448138300 119056493438190 119571889513680 125550483989364 127875492952130 131529078465048 132284992709100 136064563929360 137009456734425 139500537765960 144310901137200 146143420516720 149464861892100 153450591542556 156938104986705 158741991250920 164411348081310 167400645319152 170080704911700 174375672207450 176379990278800 179357834270520 182679275645900 190490389501104 191813239428195 197293617697572 198427489063650 199286482522800 204600788723408 209250806648940 216466351705800 219215130775080 224197292838150 226774273215600 230175887313834 232500896276600 238112986876380 246617022121965 251100967978728 255750985904260 261563508311175 263058156930096 264569985418200 274018913468850 279001075531920 297641233595475 298929723784200 306901183085112 313876209973410 317483982501840 319688732380325 328822696162620 340161409823400 345263830970751 348751344414900 358715668541040 365358551291800 383626478856390 394587235395144 396854978127300 411028370203275 418501613297880 432932703411600 438430261550160 448394585676300 460351774627668 465001792553200 476225973752760 493234044243930 502201935957456 511501971808520 523127016622350 529139970836400 548037826937700 575439718284585 595282467190950 597859447568400 613802366170224 627752419946820 639377464760650 657645392325240 680322819646800 690527661941502 697502688829800 730717102583600 767252957712780 784690524933525 789174470790288 793709956254600 822056740406550 837003226595760 896789171352600 920703549255336 952451947505520 959066197140975 986468088487860 1023003943617040 1046254033244700 1096075653875400 1150879436569170 1190564934381900 1233085110609825 1255504839893640 1278754929521300 1315290784650480 1381055323883004 1395005377659600 1534505915425560 1569381049867050 1587419912509200 1644113480813100 1726319154853755 1793578342705200 1841407098510672 1918132394281950 1972936176975720 2092508066489400 2192151307750800 2301758873138340 2381129868763800 2466170221219650 2511009679787280 2557509859042600 2762110647766008 2877198591422925 3069011830851120 3138762099734100 3288226961626200 3452638309707510 3836264788563900 3945872353951440 4185016132978800 4603517746276680 4762259737527600 4932340442439300 5115019718085200 5524221295532016 5754397182845850 6277524199468200 6576453923252400 6905276619415020 7672529577127800 8631595774268775 9207035492553360 9864680884878600 11508794365691700 12555048398936400 13810553238830040 15345059154255600 17263191548537550 19729361769757200 23017588731383400 27621106477660080 34526383097075100 46035177462766800 69052766194150200 138105532388300400
- Sum of all divisors σ(n): 633997752061132800
- Sum of proper divisors (its aliquot sum) s(n): 495892219672832400
- 138105532388300400 is an abundant number, because the sum of its proper divisors (495892219672832400) is greater than itself. Its abundance is 357786687284532000
Bases of 138105532388300400
- Binary: 1111010101010011000111111111111111000010101010110011100002
- Hexadecimal: 0x1EAA63FFF855670
- Base-36: 11RUBPPOTDO0
Squares and roots of 138105532388300400
- 138105532388300400 squared (1381055323883004002) is 19073138076255890786402800640160000
- 138105532388300400 cubed (1381055323883004003) is 2634105888336883509455450043415759414814384064000000
-
The
square root of 138105532388300400 is 371625527.0945476911 -
The
cube root of 138105532388300400 is 516896.6197800127
Scales and comparisons
How big is 138105532388300400?- 138,105,532,388,300,400 seconds is equal to 4,391,328,741 years, 25 weeks, 2 days, 15 hours.
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To count from 1 to 138,105,532,388,300,400 would take you about thirteen billion, one hundred seventy-three million, nine hundred eighty-six thousand, two hundred twenty-four 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 138105532388300400 cubic inches would be around 43074.7 feet tall.
Recreational maths with 138105532388300400
- 138105532388300400 backwards is 004003883235501831
- 138105532388300400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138105532388300400's digits is 54
- More coming soon!
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"Number 138105532388300400 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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The information we have on file for 138105532388300400 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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