138132301516800
138,132,301,516,800 is an even composite number composed of six prime numbers multiplied together.
138132301516800 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 138132301516800:
212 × 3 × 52 × 372 × 41 × 8011
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 37 × 37 × 41 × 8011)See below for interesting mathematical facts about the number 138132301516800 from the Numbermatics database.
Names of 138132301516800
- Cardinal: 138132301516800 can be written as One hundred thirty-eight trillion, one hundred thirty-two billion, three hundred one million, five hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.381323015168 × 1014
Factors of 138132301516800
Divisors of 138132301516800
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 41 48 50 60 64 74 75 80 82 96 100 111 120 123 128 148 150 160 164 185 192 200 205 222 240 246 256 296 300 320 328 370 384 400 410 444 480 492 512 555 592 600 615 640 656 740 768 800 820 888 925 960 984 1024 1025 1110 1184 1200 1230 1280 1312 1369 1480 1517 1536 1600 1640 1776 1850 1920 1968 2048 2050 2220 2368 2400 2460 2560 2624 2738 2775 2960 3034 3072 3075 3200 3280 3552 3700 3840 3936 4096 4100 4107 4440 4551 4736 4800 4920 5120 5248 5476 5550 5920 6068 6144 6150 6400 6560 6845 7104 7400 7585 7680 7872 8011 8200 8214 8880 9102 9472 9600 9840 10240 10496 10952 11100 11840 12136 12288 12300 12800 13120 13690 14208 14800 15170 15360 15744 16022 16400 16428 17760 18204 18944 19200 19680 20480 20535 20992 21904 22200 22755 23680 24033 24272 24600 25600 26240 27380 28416 29600 30340 30720 31488 32044 32800 32856 34225 35520 36408 37888 37925 38400 39360 40055 41070 41984 43808 44400 45510 47360 48066 48544 49200 51200 52480 54760 56129 56832 59200 60680 61440 62976 64088 65600 65712 68450 71040 72816 75776 75850 76800 78720 80110 82140 83968 87616 88800 91020 94720 96132 97088 98400 102400 102675 104960 109520 112258 113664 113775 118400 120165 121360 125952 128176 131200 131424 136900 142080 145632 151552 151700 153600 157440 160220 164280 167936 168387 175232 177600 182040 189440 192264 194176 196800 200275 205350 209920 219040 224516 227328 227550 236800 240330 242720 251904 256352 262400 262848 273800 280645 284160 291264 296407 303400 307200 314880 320440 328451 328560 336774 350464 355200 364080 378880 384528 388352 393600 400550 410700 419840 438080 449032 454656 455100 473600 480660 485440 503808 512704 524800 525696 547600 561290 568320 582528 592814 600825 606800 629760 640880 656902 657120 673548 700928 710400 728160 757760 769056 776704 787200 801100 821400 839680 841935 876160 889221 898064 910200 947200 961320 970880 985353 1025408 1049600 1051392 1095200 1122580 1136640 1165056 1185628 1201650 1213600 1259520 1281760 1313804 1314240 1347096 1401856 1403225 1420800 1456320 1482035 1538112 1553408 1574400 1602200 1642255 1642800 1683870 1752320 1778442 1796128 1820400 1894400 1922640 1941760 1970706 2050816 2099200 2102784 2190400 2245160 2273280 2330112 2371256 2403300 2427200 2519040 2563520 2627608 2628480 2694192 2803712 2806450 2841600 2912640 2964070 3076224 3106816 3148800 3204400 3284510 3285600 3367740 3504640 3556884 3592256 3640800 3788800 3845280 3883520 3941412 4101632 4198400 4205568 4209675 4380800 4446105 4490320 4660224 4742512 4806600 4854400 4926765 5127040 5255216 5256960 5388384 5607424 5612900 5683200 5825280 5928140 6152448 6213632 6297600 6408800 6569020 6571200 6735480 7009280 7113768 7184512 7281600 7410175 7690560 7767040 7882824 8203264 8211275 8411136 8419350 8761600 8892210 8980640 9320448 9485024 9613200 9708800 9853530 10254080 10510432 10513920 10776768 10967059 11225800 11366400 11650560 11856280 12152687 12304896 12595200 12817600 13138040 13142400 13470960 14018560 14227536 14369024 14563200 14820350 15381120 15534080 15765648 16406528 16422550 16822272 16838700 17523200 17784420 17961280 18640896 18970048 19226400 19417600 19707060 20508160 21020864 21027840 21553536 21934118 22230525 22451600 23301120 23712560 24305374 24609792 24633825 25635200 26276080 26284800 26941920 28037120 28455072 28738048 29126400 29640700 30762240 31068160 31531296 32813056 32845100 32901177 33677400 35046400 35568840 35922560 36458061 37940096 38452800 38835200 39414120 41016320 42041728 42055680 43107072 43868236 44461050 44903200 46602240 47425120 48610748 49219584 49267650 51270400 52552160 52569600 53883840 54835295 56910144 57476096 58252800 59281400 60763435 61524480 63062592 65690200 65802354 67354800 70092800 71137680 71845120 72916122 75880192 76905600 77670400 78828240 82032640 84083456 84111360 86214144 87736472 88922100 89806400 93204480 94850240 97221496 98439168 98535300 102540800 105104320 105139200 107767680 109670590 113820288 114952192 116505600 118562800 121526870 123048960 126125184 131380400 131604708 134709600 140185600 142275360 143690240 145832244 151760384 153811200 155340800 157656480 164065280 164505885 168166912 172428288 175472944 177844200 179612800 182290305 189700480 194442992 197070600 205081600 210208640 210278400 215535360 219341180 227640576 229904384 233011200 237125600 243053740 246097920 252250368 262760800 263209416 269419200 274176475 284550720 287380480 291664488 303520768 303817175 307622400 315312960 329011770 336333824 344856576 350945888 355688400 359225600 364580610 379400960 388885984 394141200 410163200 420417280 420556800 431070720 438682360 449649419 455281152 466022400 474251200 486107480 492195840 504500736 525521600 526418832 538838400 548352950 569101440 574760960 583328976 607041536 607634350 615244800 630625920 658023540 672667648 689713152 701891776 711376800 718451200 729161220 758801920 777771968 788282400 820326400 822529425 840834560 862141440 877364720 899298838 910562304 911451525 948502400 972214960 1009001472 1051043200 1052837664 1077676800 1096705900 1138202880 1149521920 1166657952 1214083072 1215268700 1230489600 1261251840 1316047080 1345335296 1348948257 1403783552 1422753600 1436902400 1458322440 1517603840 1555543936 1576564800 1645058850 1681669120 1724282880 1754729440 1798597676 1821124608 1822903050 1897004800 1944429920 2018002944 2102086400 2105675328 2155353600 2193411800 2248247095 2276405760 2333315904 2430537400 2460979200 2522503680 2632094160 2697896514 2807567104 2845507200 2873804800 2916644880 3035207680 3111087872 3153129600 3290117700 3363338240 3448565760 3509458880 3597195352 3642249216 3645806100 3794009600 3888859840 4036005888 4204172800 4211350656 4310707200 4386823600 4496494190 4552811520 4666631808 4861074800 5045007360 5264188320 5395793028 5615134208 5691014400 5747609600 5833289760 6070415360 6222175744 6306259200 6580235400 6726676480 6744741285 7018917760 7194390704 7291612200 7588019200 7777719680 8408345600 8422701312 8621414400 8773647200 8992988380 9105623040 9333263616 9722149600 10090014720 10528376640 10791586056 11230268416 11241235475 11382028800 11666579520 12444351488 12612518400 13160470800 13489482570 14037835520 14388781408 14583224400 15176038400 15555439360 16816691200 16845402624 17242828800 17547294400 17985976760 18211246080 18666527232 19444299200 20180029440 21056753280 21583172112 22460536832 22482470950 22764057600 23333159040 24888702976 25225036800 26320941600 26978965140 28075671040 28777562816 29166448800 30352076800 31110878720 33633382400 33690805248 33723706425 35094588800 35971953520 37333054464 38888598400 42113506560 43166344224 44921073664 44964941900 45528115200 46666318080 49777405952 50450073600 52641883200 53957930280 56151342080 57555125632 58332897600 62221757440 67381610496 67447412850 70189177600 71943907040 74666108928 77777196800 84227013120 86332688448 89929883800 91056230400 93332636160 100900147200 105283766400 107915860560 112302684160 115110251264 116665795200 124443514880 134763220992 134894825700 140378355200 143887814080 149332217856 155554393600 168454026240 172665376896 179859767600 186665272320 210567532800 215831721120 224605368320 230220502528 233331590400 248887029760 269789651400 280756710400 287775628160 311108787200 336908052480 345330753792 359719535200 373330544640 421135065600 431663442240 460441005056 466663180800 539579302800 561513420800 575551256320 622217574400 673816104960 690661507584 719439070400 746661089280 842270131200 863326884480 920882010112 933326361600 1079158605600 1123026841600 1151102512640 1244435148800 1381323015168 1438878140800 1684540262400 1726653768960 1841764020224 1866652723200 2158317211200 2302205025280 2762646030336 2877756281600 3369080524800 3453307537920 3733305446400 4316634422400 4604410050560 5525292060672 5755512563200 6906615075840 8633268844800 9208820101120 11511025126400 13813230151680 17266537689600 23022050252800 27626460303360 34533075379200 46044100505600 69066150758400 138132301516800
- Sum of all divisors σ(n): 480886892331552
- Sum of proper divisors (its aliquot sum) s(n): 342754590814752
- 138132301516800 is an abundant number, because the sum of its proper divisors (342754590814752) is greater than itself. Its abundance is 204622289297952
Bases of 138132301516800
- Binary: 111110110100001011011101100001110010000000000002
- Hexadecimal: 0x7DA16EC39000
- Base-36: 1CYP3PUP6O
Squares and roots of 138132301516800
- 138132301516800 squared (1381323015168002) is 19080532722328147580682240000
- 138132301516800 cubed (1381323015168003) is 2635637899101800413286407630730821632000000
-
The
square root of 138132301516800 is 11752969.9019779677 -
The
cube root of 138132301516800 is 51693.0014479193
Scales and comparisons
How big is 138132301516800?- 138,132,301,516,800 seconds is equal to 4,392,179 years, 47 weeks, 4 days, 18 hours, 40 minutes.
-
To count from 1 to 138,132,301,516,800 would take you about ten million, nine hundred eighty thousand, four hundred forty-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 138132301516800 cubic inches would be around 4307.8 feet tall.
Recreational maths with 138132301516800
- 138132301516800 backwards is 008615103231831
- The number of decimal digits it has is: 15
- The sum of 138132301516800's digits is 42
- 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 138132301516800 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
APA style:
Numbermatics. (2024). Number 138132301516800 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/138132301516800/
Chicago style:
Numbermatics. 2024. "Number 138132301516800 - Facts about the integer". https://numbermatics.com/n/138132301516800/
The information we have on file for 138132301516800 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 138132301516800, math, Factors of 138132301516800, curriculum, school, college, exams, university, Prime factorization of 138132301516800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred thirty-two billion, three hundred one million, five hundred sixteen thousand, eight hundred.