138468924057600
138,468,924,057,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 138468924057600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1512 divisors.
138468924057600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138468924057600:
211 × 36 × 52 × 612 × 997
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 61 × 61 × 997)See below for interesting mathematical facts about the number 138468924057600 from the Numbermatics database.
Names of 138468924057600
- Cardinal: 138468924057600 can be written as One hundred thirty-eight trillion, four hundred sixty-eight billion, nine hundred twenty-four million, fifty-seven thousand, six hundred.
Scientific notation
- Scientific notation: 1.384689240576 × 1014
Factors of 138468924057600
Divisors of 138468924057600
- Number of divisors d(n): 1512
-
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 48 50 54 60 61 64 72 75 80 81 90 96 100 108 120 122 128 135 144 150 160 162 180 183 192 200 216 225 240 243 244 256 270 288 300 305 320 324 360 366 384 400 405 432 450 480 486 488 512 540 549 576 600 610 640 648 675 720 729 732 768 800 810 864 900 915 960 972 976 997 1024 1080 1098 1152 1200 1215 1220 1280 1296 1350 1440 1458 1464 1525 1536 1600 1620 1647 1728 1800 1830 1920 1944 1952 1994 2025 2048 2160 2196 2304 2400 2430 2440 2560 2592 2700 2745 2880 2916 2928 2991 3050 3072 3200 3240 3294 3456 3600 3645 3660 3721 3840 3888 3904 3988 4050 4320 4392 4575 4608 4800 4860 4880 4941 4985 5120 5184 5400 5490 5760 5832 5856 5982 6075 6100 6144 6400 6480 6588 6912 7200 7290 7320 7442 7680 7776 7808 7976 8100 8235 8640 8784 8973 9150 9216 9600 9720 9760 9882 9970 10240 10368 10800 10980 11163 11520 11664 11712 11964 12150 12200 12800 12960 13176 13725 13824 14400 14580 14640 14823 14884 14955 15360 15552 15616 15952 16200 16470 17280 17568 17946 18225 18300 18432 18605 19200 19440 19520 19764 19940 20736 21600 21960 22326 23040 23328 23424 23928 24300 24400 24705 24925 25600 25920 26352 26919 27450 27648 28800 29160 29280 29646 29768 29910 30720 31104 31232 31904 32400 32940 33489 34560 35136 35892 36450 36600 37210 38400 38880 39040 39528 39880 41175 41472 43200 43920 44469 44652 44865 46080 46656 46848 47856 48600 48800 49410 49850 51200 51840 52704 53838 54900 55296 55815 57600 58320 58560 59292 59536 59820 60817 62208 62464 63808 64800 65880 66978 69120 70272 71784 72900 73200 74115 74420 74775 76800 77760 78080 79056 79760 80757 82350 82944 86400 87840 88938 89304 89730 92160 93025 93312 93696 95712 97200 97600 98820 99700 100467 103680 105408 107676 109800 111630 115200 116640 117120 118584 119072 119640 121634 123525 124416 124928 127616 129600 131760 133956 134595 138240 140544 143568 145800 146400 148230 148840 149550 153600 155520 156160 158112 159520 161514 164700 165888 167445 172800 175680 177876 178608 179460 182451 186050 186624 187392 191424 194400 195200 197640 199400 200934 207360 210816 215352 219600 222345 223260 224325 230400 233280 234240 237168 238144 239280 242271 243268 247050 248832 255232 259200 263520 267912 269190 276480 279075 281088 287136 291600 292800 296460 297680 299100 301401 304085 311040 312320 316224 319040 323028 329400 334890 345600 351360 355752 357216 358920 364902 370575 372100 373248 374784 382848 388800 390400 395280 398800 401868 403785 414720 421632 430704 439200 444690 446520 448650 460800 466560 468480 474336 476288 478560 484542 486536 494100 497664 502335 510464 518400 527040 535824 538380 547353 558150 562176 574272 583200 585600 592920 595360 598200 602802 608170 622080 624640 632448 638080 646056 658800 669780 672975 691200 702720 711504 714432 717840 726813 729804 741150 744200 746496 765696 777600 780800 790560 797600 803736 807570 829440 837225 843264 861408 878400 889380 893040 897300 904203 912255 933120 936960 948672 952576 957120 969084 973072 988200 1004670 1020928 1036800 1054080 1071648 1076760 1094706 1111725 1116300 1124352 1148544 1166400 1171200 1185840 1190720 1196400 1205604 1211355 1216340 1244160 1264896 1276160 1292112 1317600 1339560 1345950 1382400 1405440 1423008 1428864 1435680 1453626 1459608 1482300 1488400 1492992 1507005 1520425 1531392 1555200 1561600 1581120 1595200 1607472 1615140 1642059 1674450 1686528 1722816 1756800 1778760 1786080 1794600 1808406 1824510 1866240 1873920 1897344 1905152 1914240 1938168 1946144 1976400 2009340 2018925 2041856 2073600 2108160 2143296 2153520 2189412 2223450 2232600 2297088 2332800 2342400 2371680 2381440 2392800 2411208 2422710 2432680 2488320 2511675 2529792 2552320 2584224 2635200 2679120 2691900 2712609 2736765 2810880 2846016 2857728 2871360 2907252 2919216 2964600 2976800 3014010 3040850 3062784 3110400 3123200 3162240 3190400 3214944 3230280 3284118 3348900 3373056 3445632 3513600 3557520 3572160 3589200 3616812 3634065 3649020 3709837 3732480 3794688 3810304 3828480 3876336 3892288 3952800 4018680 4037850 4147200 4216320 4286592 4307040 4378824 4446900 4465200 4521015 4561275 4594176 4665600 4684800 4743360 4762880 4785600 4822416 4845420 4865360 4926177 5023350 5059584 5104640 5168448 5270400 5358240 5383800 5425218 5473530 5621760 5692032 5715456 5742720 5814504 5838432 5929200 5953600 6028020 6056775 6081700 6125568 6220800 6324480 6380800 6429888 6460560 6568236 6697800 6891264 7027200 7115040 7144320 7178400 7233624 7268130 7298040 7419674 7464960 7535025 7589376 7620608 7656960 7752672 7784576 7905600 8037360 8075700 8210295 8432640 8573184 8614080 8757648 8893800 8930400 9042030 9122550 9188352 9331200 9369600 9486720 9525760 9571200 9644832 9690840 9730720 9852354 10046700 10119168 10209280 10336896 10540800 10716480 10767600 10850436 10947060 11129511 11384064 11430912 11485440 11629008 11676864 11858400 11907200 12056040 12113550 12163400 12441600 12648960 12761600 12859776 12921120 13136472 13395600 13563045 13683825 13782528 14054400 14230080 14288640 14356800 14467248 14536260 14596080 14778531 14839348 15070050 15178752 15313920 15505344 15569152 15811200 16074720 16151400 16420590 16865280 17146368 17228160 17515296 17787600 17860800 18084060 18170325 18245100 18376704 18549185 18662400 18973440 19051520 19142400 19289664 19381680 19461440 19704708 20093400 20673792 21081600 21432960 21535200 21700872 21894120 22259022 22605075 22768128 22861824 22970880 23258016 23353728 23716800 23814400 24112080 24227100 24326800 24630885 25297920 25523200 25719552 25842240 26272944 26791200 27126090 27367650 27565056 28108800 28460160 28577280 28713600 28934496 29072520 29192160 29557062 29678696 30140100 30357504 30627840 31010688 31138304 31622400 32149440 32302800 32841180 33388533 34292736 34456320 35030592 35575200 35721600 36168120 36340650 36490200 37098370 37324800 37946880 38103040 38284800 38579328 38763360 38922880 39409416 40186800 41051475 41347584 42163200 42865920 43070400 43401744 43788240 44335593 44518044 45210150 45536256 45941760 46516032 46707456 47433600 47628800 48224160 48454200 48653600 49261770 50595840 51046400 51439104 51684480 52545888 53582400 54252180 54735300 55130112 55647555 56920320 57154560 57427200 57868992 58145040 58384320 59114124 59357392 60280200 62021376 62276608 63244800 64298880 64605600 65682360 66777066 67815225 68585472 68912640 70061184 71150400 71443200 72336240 72681300 72980400 73892655 74196740 75893760 76569600 77158656 77526720 77845760 78818832 80373600 82102950 82695168 84326400 85731840 86140800 86803488 87576480 88671186 89036088 90420300 91072512 91883520 92745925 93032064 93414912 94867200 95257600 96448320 96908400 97307200 98523540 100165599 102878208 103368960 105091776 107164800 108504360 109470600 111295110 113840640 114309120 114854400 115737984 116290080 116768640 118228248 118714784 120560400 123154425 124042752 124553216 126489600 128597760 129211200 131364720 133554132 135630450 137825280 140122368 142300800 142886400 144672480 145362600 145960800 147785310 148393480 151787520 153139200 154317312 155053440 155691520 157637664 160747200 164205900 165390336 166942665 171463680 172281600 173606976 175152960 177342372 178072176 180840600 185491850 186064128 186829824 189734400 190515200 192896640 193816800 194614400 197047080 200331198 205756416 206737920 210183552 214329600 217008720 218941200 221677965 222590220 227681280 229708800 231475968 232580160 233537280 236456496 237429568 241120800 246308850 248085504 252979200 257195520 258422400 262729440 267108264 271260900 275650560 278237775 280244736 284601600 285772800 289344960 290725200 291921600 295570620 296786960 300496797 308634624 310106880 311383040 315275328 321494400 328411800 333885330 342927360 344563200 347213952 350305920 354684744 356144352 361681200 369463275 370983700 372128256 373659648 379468800 385793280 387633600 389228800 394094160 400662396 413475840 420367104 428659200 434017440 437882400 443355930 445180440 455362560 459417600 462951936 465160320 467074560 472912992 474859136 482241600 492617700 496171008 500827995 514391040 516844800 525458880 534216528 542521800 556475550 560489472 569203200 571545600 578689920 581450400 583843200 591141240 593573920 600993594 617269248 620213760 622766080 630550656 642988800 656823600 667770660 689126400 694427904 700611840 709369488 712288704 723362400 738926550 741967400 744256512 758937600 771586560 775267200 778457600 788188320 801324792 826951680 834713325 840734208 857318400 868034880 875764800 886711860 890360880 901490391 925903872 930320640 934149120 945825984 949718272 964483200 985235400 1001655990 1028782080 1033689600 1050917760 1068433056 1085043600 1108389825 1112951100 1120978944 1138406400 1157379840 1162900800 1167686400 1182282480 1187147840 1201987188 1240427520 1261101312 1285977600 1313647200 1335541320 1378252800 1388855808 1401223680 1418738976 1424577408 1446724800 1477853100 1483934800 1488513024 1502483985 1543173120 1550534400 1556915200 1576376640 1602649584 1669426650 1681468416 1714636800 1736069760 1751529600 1773423720 1780721760 1802980782 1851807744 1860641280 1868298240 1891651968 1899436544 1928966400 1970470800 2003311980 2067379200 2101835520 2136866112 2170087200 2216779650 2225902200 2276812800 2314759680 2325801600 2335372800 2364564960 2374295680 2403974376 2480855040 2504139975 2522202624 2571955200 2627294400 2671082640 2704471173 2777711616 2802447360 2837477952 2849154816 2893449600 2955706200 2967869600 3004967970 3086346240 3101068800 3113830400 3152753280 3205299168 3338853300 3362936832 3472139520 3503059200 3546847440 3561443520 3605961564 3721282560 3783303936 3798873088 3857932800 3940941600 4006623960 4134758400 4203671040 4273732224 4340174400 4433559300 4451804400 4507451955 4629519360 4651603200 4670745600 4729129920 4748591360 4807948752 5008279950 5044405248 5143910400 5254588800 5342165280 5408942346 5555423232 5604894720 5674955904 5698309632 5786899200 5911412400 5935739200 6009935940 6202137600 6305506560 6410598336 6677706600 6944279040 7006118400 7093694880 7122887040 7211923128 7442565120 7512419925 7566607872 7597746176 7715865600 7881883200 8013247920 8407342080 8547464448 8680348800 8867118600 8903608800 9014903910 9259038720 9303206400 9341491200 9458259840 9497182720 9615897504 10016559900 10088810496 10509177600 10684330560 10817884692 11349911808 11396619264 11573798400 11822824800 11871478400 12019871880 12404275200 12611013120 12821196672 13355413200 13522355865 13888558080 14012236800 14187389760 14245774080 14423846256 15024839850 15133215744 15431731200 15763766400 16026495840 16814684160 17094928896 17360697600 17734237200 17807217600 18029807820 18606412800 18916519680 18994365440 19231795008 20033119800 21018355200 21368661120 21635769384 22537259775 22699823616 22793238528 23147596800 23645649600 23742956800 24039743760 25222026240 25642393344 26710826400 27044711730 27777116160 28024473600 28374779520 28491548160 28847692512 30049679700 30266431488 31527532800 32052991680 34189857792 34721395200 35468474400 35614435200 36059615640 37212825600 37833039360 37988730880 38463590016 40066239600 42036710400 42737322240 43271538768 45074519550 45399647232 46295193600 47291299200 47485913600 48079487520 50444052480 51284786688 53421652800 54089423460 56749559040 56983096320 57695385024 60099359400 63055065600 64105983360 67611779325 68379715584 69442790400 70936948800 71228870400 72119231280 75666078720 76927180032 80132479200 84073420800 85474644480 86543077536 90149039100 90799294464 94582598400 94971827200 96158975040 102569573376 106843305600 108178846920 113499118080 113966192640 115390770048 120198718800 126110131200 128211966720 135223558650 138885580800 141873897600 142457740800 144238462560 151332157440 153854360064 160264958400 170949288960 173086155072 180298078200 189165196800 189943654400 192317950080 205139146752 213686611200 216357693840 226998236160 230781540096 240397437600 252220262400 256423933440 270447117300 283747795200 284915481600 288476925120 307708720128 320529916800 341898577920 346172310144 360596156400 378330393600 384635900160 427373222400 432715387680 453996472320 461563080192 480794875200 512847866880 540894234600 567495590400 569830963200 576953850240 615417440256 641059833600 692344620288 721192312800 756660787200 769271800320 854746444800 865430775360 923126160384 961589750400 1025695733760 1081788469200 1134991180800 1153907700480 1282119667200 1384689240576 1442384625600 1538543600640 1709492889600 1730861550720 1846252320768 1923179500800 2163576938400 2269982361600 2307815400960 2564239334400 2769378481152 2884769251200 3077087201280 3461723101440 3846359001600 4327153876800 4615630801920 5128478668800 5538756962304 5769538502400 6923446202880 7692718003200 8654307753600 9231261603840 11539077004800 13846892405760 15385436006400 17308615507200 23078154009600 27693784811520 34617231014400 46156308019200 69234462028800 138468924057600
- Sum of all divisors σ(n): 523844808759090
- Sum of proper divisors (its aliquot sum) s(n): 385375884701490
- 138468924057600 is an abundant number, because the sum of its proper divisors (385375884701490) is greater than itself. Its abundance is 246906960643890
Bases of 138468924057600
- Binary: 111110111101111110011110000011111101000000000002
- Hexadecimal: 0x7DEFCF07E800
- Base-36: 1D2ZQU8000
Squares and roots of 138468924057600
- 138468924057600 squared (1384689240576002) is 19173642929669396048117760000
- 138468924057600 cubed (1384689240576003) is 2654953706735930779261675664861822976000000
-
The
square root of 138468924057600 is 11767281.9315932089 -
The
cube root of 138468924057600 is 51734.9585986959
Scales and comparisons
How big is 138468924057600?- 138,468,924,057,600 seconds is equal to 4,402,883 years, 24 weeks, 4 days.
-
To count from 1 to 138,468,924,057,600 would take you about eleven million, seven thousand, two hundred eight 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 138468924057600 cubic inches would be around 4311.2 feet tall.
Recreational maths with 138468924057600
- 138468924057600 backwards is 006750429864831
- The number of decimal digits it has is: 15
- The sum of 138468924057600's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138468924057600 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 138468924057600 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138468924057600/
Chicago style:
Numbermatics. 2024. "Number 138468924057600 - Facts about the integer". https://numbermatics.com/n/138468924057600/
The information we have on file for 138468924057600 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 138468924057600, math, Factors of 138468924057600, curriculum, school, college, exams, university, Prime factorization of 138468924057600, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred sixty-eight billion, nine hundred twenty-four million, fifty-seven thousand, six hundred.