138373475128000
138,373,475,128,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138373475128000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2016 divisors.
138373475128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138373475128000:
26 × 53 × 72 × 172 × 313 × 41
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 17 × 17 × 31 × 31 × 31 × 41)See below for interesting mathematical facts about the number 138373475128000 from the Numbermatics database.
Names of 138373475128000
- Cardinal: 138373475128000 can be written as One hundred thirty-eight trillion, three hundred seventy-three billion, four hundred seventy-five million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38373475128 × 1014
Factors of 138373475128000
Divisors of 138373475128000
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 31 32 34 35 40 41 49 50 56 62 64 68 70 80 82 85 98 100 112 119 124 125 136 140 155 160 164 170 175 196 200 205 217 224 238 245 248 250 272 280 287 289 310 320 328 340 350 392 400 410 425 434 448 476 490 496 500 527 544 560 574 578 595 620 656 680 697 700 775 784 800 820 833 850 868 875 952 961 980 992 1000 1025 1054 1085 1088 1120 1148 1156 1190 1225 1240 1271 1312 1360 1394 1400 1435 1445 1519 1550 1568 1600 1640 1666 1700 1736 1750 1904 1922 1960 1984 2000 2009 2023 2050 2108 2125 2170 2240 2296 2312 2380 2450 2480 2542 2624 2635 2720 2788 2800 2870 2890 2975 3038 3100 3136 3280 3332 3400 3472 3485 3500 3689 3808 3844 3875 3920 4000 4018 4046 4100 4165 4216 4250 4340 4592 4624 4760 4805 4879 4900 4960 5084 5125 5270 5425 5440 5576 5600 5740 5780 5950 6076 6125 6200 6355 6560 6664 6727 6800 6944 6970 7000 7175 7225 7378 7595 7616 7688 7750 7840 8000 8036 8092 8200 8330 8432 8500 8680 8897 8959 9184 9248 9520 9610 9758 9800 9920 10045 10115 10168 10250 10540 10850 11152 11200 11480 11560 11849 11900 12152 12250 12400 12710 13120 13175 13328 13454 13600 13888 13940 14000 14161 14350 14450 14756 14875 15190 15376 15500 15680 16072 16184 16337 16400 16660 16864 17000 17360 17425 17794 17918 18368 18445 18496 19040 19220 19516 19600 20090 20230 20336 20500 20825 21080 21607 21700 22304 22960 23120 23698 23800 24025 24304 24395 24500 24800 25420 25823 26350 26656 26908 27125 27200 27880 28000 28322 28700 28900 29512 29750 29791 30380 30752 31000 31775 32144 32368 32674 32800 33320 33635 33728 34000 34153 34720 34850 35588 35836 35875 36125 36890 37975 38080 38440 39032 39200 39401 40180 40460 40672 41000 41650 42160 43214 43400 44485 44608 44795 45920 46240 47089 47396 47600 48050 48608 48790 49000 49600 50225 50575 50840 51646 52700 53312 53816 54250 55760 56000 56644 57400 57800 59024 59245 59500 59582 60760 61504 62000 62279 62713 63550 64288 64736 65348 65600 65875 66640 67270 68000 68306 69440 69700 70805 71176 71672 71750 72250 73780 75950 76880 78064 78400 78802 80360 80920 81344 81685 82000 82943 83300 84320 86428 86800 87125 88970 89590 91840 92225 92480 94178 94792 95200 96100 97216 97580 98000 100450 101150 101680 103292 104125 105400 107632 108035 108500 111520 113288 114359 114800 115600 118048 118490 119000 119164 120125 121520 121975 124000 124558 125426 127100 128576 129115 129472 130696 131750 133280 134540 136000 136612 139400 141610 142352 143344 143500 144500 147560 148955 151249 151900 153760 156128 157604 158875 160720 161840 163370 164000 165886 166600 168175 168640 170765 172856 173600 174250 177940 179180 184450 188356 189584 189875 190400 192200 195160 196000 197005 200900 202300 203360 206584 208250 208537 210800 215264 216070 217000 222425 223040 223975 226576 228718 229600 231200 235445 236096 236980 238000 238328 240250 243040 243950 248000 249116 250852 251125 252875 254200 258230 261392 263500 266560 269080 273224 275807 277729 278800 283220 284704 286688 287000 289000 295120 296225 297910 302498 303800 307520 311395 312256 313565 315208 317750 321440 323680 326740 328000 331772 333200 336350 341530 345712 347200 348500 354025 355880 358360 367319 368900 376712 379168 379750 384400 390320 392000 394010 401800 404600 406720 408425 413168 414715 416500 417074 421600 430528 432140 434000 438991 444850 447950 453152 457436 459200 461125 462400 470890 473960 476000 476656 480500 486080 487900 498232 501704 502250 505750 506447 508400 516460 522784 527000 538160 540175 546448 551614 555458 557600 566440 569408 571795 573376 574000 578000 580601 590240 592450 595820 604996 607600 609875 622790 627130 630416 635500 642880 645575 647360 653480 663544 666400 669817 672700 683060 691424 697000 708050 711760 716720 734638 737800 744775 753424 756245 758336 759500 768800 780640 788020 800513 803600 809200 816850 826336 829430 833000 834148 840875 843200 853825 864280 868000 877982 889700 895900 906304 914872 922250 941780 947920 952000 953312 961000 975800 985025 996464 1003408 1004500 1011500 1012894 1016800 1032920 1042685 1045568 1054000 1058743 1076320 1080350 1092896 1103228 1110916 1112125 1115200 1119875 1132880 1143590 1148000 1156000 1161202 1177225 1180480 1184900 1191640 1209992 1215200 1219750 1221431 1245580 1254260 1260832 1271000 1291150 1306960 1327088 1332800 1339634 1345400 1366120 1379035 1382848 1388645 1394000 1416100 1423520 1433440 1459759 1469276 1475600 1481125 1489550 1506848 1512490 1519000 1537600 1556975 1561280 1567825 1576040 1601026 1607200 1618400 1633700 1652672 1658860 1666000 1668296 1681750 1707650 1728560 1736000 1755964 1770125 1779400 1791800 1829744 1836595 1844500 1883560 1895840 1906624 1922000 1930649 1944103 1951600 1970050 1992928 2006816 2009000 2023000 2025788 2033600 2042125 2065840 2073575 2085370 2108000 2117486 2152640 2160700 2185792 2194955 2206456 2221832 2224250 2239750 2265760 2287180 2296000 2312000 2322404 2354450 2369800 2383280 2419984 2430400 2439500 2442862 2491160 2508520 2521664 2532235 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6698170 6727000 6830600 6895175 6914240 6943225 7023856 7080500 7090258 7117600 7167200 7298795 7318976 7346380 7378000 7447750 7534240 7562450 7688000 7722596 7776412 7784875 7806400 7839125 7880200 8005130 8036000 8092000 8103152 8168500 8263360 8294300 8341480 8469944 8538250 8550017 8609599 8642800 8779820 8825824 8887328 8897000 8959000 9148720 9182975 9289616 9377438 9417800 9479200 9533120 9653245 9679936 9720515 9758000 9771448 9850250 9964640 10034080 10128940 10168000 10284932 10329200 10367875 10426850 10587430 10717072 10763200 10803500 10928960 10974775 11032280 11109160 11328800 11386889 11435900 11612020 11678072 11754208 11772250 11849000 11916400 12099920 12152000 12214310 12455800 12542600 12608320 12661175 12808208 12856165 12911500 13069600 13270880 13346368 13396340 13454000 13608721 13661200 13790350 13886450 14047712 14161000 14180516 14235200 14294875 14334400 14515025 14597590 14692760 14756000 14895500 15068480 15124900 15445192 15552824 15569750 15678250 15760400 16010260 16072000 16184000 16206304 16337000 16588600 16682960 16745425 16939888 17076500 17100034 17219198 17285600 17559640 17651648 17725645 17774656 17794000 17918000 17998631 18297440 18365950 18579232 18754876 18835600 18906125 18958400 19306490 19441030 19516000 19542896 19700500 19929280 20012825 20068160 20257880 20569864 20658400 20735750 20764327 20853700 21174860 21434144 21607000 21949550 22064560 22218320 22657600 22773778 22871800 23224040 23356144 23443595 23508416 23544500 23698000 23832800 24199840 24428620 24815903 24911600 25085200 25322350 25616416 25712330 25823000 26067125 26139200 26468575 26541760 26792680 26908000 27217442 27322400 27580700 27772900 28095424 28322000 28361032 28589750 29030050 29195180 29385520 29512000 29791000 30249800 30535775 30890384 31105648 31139500 31356500 31520800 32020520 32412608 32674000 32821033 33177200 33365920 33490850 33879776 34153000 34200068 34438396 34475875 34571200 34716125 35119280 35451290 35588000 35836000 35997262 36493975 36594880 36731900 37158464 37509752 37671200 37812250 38612980 38882060 39032000 39085792 39401000 40025650 40515760 41139728 41316800 41471500 41528654 41707400 42349720 42750085 42868288 43047995 43214000 43899100 44129120 44436640 45547556 45743600 45914875 46448080 46712288 46887190 47089000 47396000 47665600 48266225 48399680 48602575 48857240 49631806 49823200 50170400 50644700 51232832 51424660 51646000 52134250 52937150 53585360 53816000 54434884 54644800 54873875 55161400 55545800 56644000 56722064 56934445 57179500 58060100 58390360 58771040 59582000 59850119 60267193 60499600 61071550 61780768 62211296 62279000 62713000 63041600 63305875 64041040 64280825 65348000 65642066 66354400 66731840 66981700 67759552 68043605 68306000 68400136 68876792 68951750 69432250 70238560 70902580 71176000 71672000 71994524 72575125 72987950 73463800 75019504 75342400 75624500 77225960 77764120 78171584 78802000 79708223 80051300 81031520 82279456 82943000 83057308 83414800 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187548760 188356000 193064900 194410300 195428960 198527224 200128250 202578800 205698640 206584000 207643270 208537000 211748600 213750425 214341440 215239975 217739536 219495500 220645600 222183200 226888256 227737780 228718000 232240400 233561440 234435950 238328000 239400476 241068772 241331125 241998400 243012875 244286200 248159030 249116000 250852000 253223500 256164160 257123300 262568264 264685750 267926800 272174420 273224000 273600544 275507168 275807000 277729000 283610320 284672225 287978096 290300500 290700578 291951800 293855200 299250595 300078016 301335965 302498000 305357750 308903840 311056480 315208000 318832892 320205200 321404125 328210330 331772000 332229232 333659200 334908500 338797760 340218025 342000680 344383960 351192800 352993559 354512900 359972620 364380448 364939750 367319000 375097520 376712000 386129800 388820600 390857920 397054448 398541115 400256500 405157600 411397280 415286540 417074000 421870351 423497200 427500850 430479950 435479072 438991000 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2721744200 2736005440 2755071680 2789787805 2823948472 2836103200 2846722250 2879780960 2907005780 2919518000 2938552000 2992505950 3013359650 3089038400 3101987875 3110564800 3188328920 3202052000 3282103300 3322292320 3374962808 3402180250 3420006800 3443839600 3511928000 3529935590 3545129000 3599726200 3633757225 3643804480 3750975200 3830407616 3857100352 3861298000 3888206000 3970544480 3985411150 4051576000 4069808092 4102629125 4113972800 4152865400 4218703510 4234972000 4275008500 4304799500 4354790720 4463660488 4499657750 4554755600 4644808000 4651209248 4688719000 4788009520 4821375440 4885724000 4941909826 4963180600 5087260115 5101326272 5142466000 5191081750 5251365280 5358536000 5443488400 5579575610 5647896944 5672206400 5693444500 5759561920 5814011560 5839036000 5985011900 6026719300 6203975750 6376657840 6404104000 6564206600 6644584640 6749925616 6804360500 6840013600 6887679200 7059871180 7090258000 7199452400 7267514450 7481264875 7501950400 7533399125 7722596000 7776412000 7941088960 7970822300 8139616184 8205258250 8305730800 8437407020 8469944000 8550017000 8609599000 8824838975 8927320976 8999315500 9109511200 9302418496 9377438000 9576019040 9642750880 9771448000 9883819652 9926361200 9963527875 10174520230 10284932000 10382163500 10502730560 10546758775 10886976800 11159151220 11295793888 11386889000 11628023120 11678072000 11970023800 12053438600 12354774565 12407951500 12753315680 13128413200 13499851232 13608721000 13680027200 13775358400 13948939025 14119742360 14180516000 14398904800 14535028900 14962529750 15066798250 15445192000 15552824000 15941644600 16279232368 16410516500 16611461600 16874814040 17100034000 17219198000 17296684391 17649677950 17854641952 17998631000 18168786125 18219022400 18754876000 19152038080 19285501760 19767639304 19852722400 19927055750 20349040460 20569864000 20764327000 21093517550 21773953600 22318302440 22591587776 22773778000 23256046240 23940047600 24106877200 24709549130 24815903000 25436300575 25506631360 26256826400 26999702464 27217442000 27897878050 28239484720 28361032000 28797809600 29070057800 29925059500 30133596500 31883289200 32558464736 32821033000 33222923200 33749628080 34200068000 34438396000 34593368782 35299355900 35709283904 35997262000 36337572250 37509752000 39535278608 39705444800 39854111500 40698080920 41528654000 42187035100 44124194875 44636604880 45547556000 46512092480 47880095200 48213754400 49419098260 49631806000 50872601150 52513652800 52733793875 54434884000 55795756100 56478969440 58140115600 59850119000 60267193000 61773872825 63766578400 65116929472 65642066000 67499256160 68400136000 68876792000 69186737564 69744695125 70598711800 71994524000 72675144500 79070557216 79708223000 81396161840 83057308000 84374070200 86483421955 88248389750 89273209760 91095112000 95760190400 96427508800 98838196520 99263612000 101745202300 105467587750 108869768000 111591512200 112957938880 116280231200 119700238000 120534386000 123547745650 127181502875 127533156800 131284132000 134998512320 138373475128 139489390250 141197423600 143989048000 145350289000 158141114432 159416446000 162792323680 166114616000 168748140400 172966843910 176496779500 178546419520 197676393040 198527224000 203490404600 210935175500 223183024400 232560462400 239400476000 241068772000 247095491300 254363005750 262568264000 276746950256 278978780500 282394847200 290700578000 308869364125 318832892000 325584647360 337496280800 345933687820 352993559000 395352786080 406980809200 421870351000 432417109775 446366048800 478800952000 482137544000 494190982600 508726011500 553493900512 557957561000 564789694400 581401156000 617738728250 637665784000 674992561600 691867375640 705987118000 790705572160 813961618400 843740702000 864834219550 892732097600 988381965200 1017452023000 1106987801024 1115915122000 1162802312000 1235477456500 1383734751280 1411974236000 1627923236800 1687481404000 1729668439100 1976763930400 2034904046000 2162085548875 2231830244000 2470954913000 2767469502560 2823948472000 3374962808000 3459336878200 3953527860800 4069808092000 4324171097750 4463660488000 4941909826000 5534939005120 6918673756400 8139616184000 8648342195500 9883819652000 13837347512800 17296684391000 19767639304000 27674695025600 34593368782000 69186737564000 138373475128000
- Sum of all divisors σ(n): 448245451390464
- Sum of proper divisors (its aliquot sum) s(n): 309871976262464
- 138373475128000 is an abundant number, because the sum of its proper divisors (309871976262464) is greater than itself. Its abundance is 171498501134464
Bases of 138373475128000
- Binary: 111110111011001100101011101010011010010110000002
- Hexadecimal: 0x7DD995D4D2C0
- Base-36: 1D1RWAE6KG
Squares and roots of 138373475128000
- 138373475128000 squared (1383734751280002) is 19147218618999234616384000000
- 138373475128000 cubed (1383734751280003) is 2649467179346469099441248045297152000000000
-
The
square root of 138373475128000 is 11763225.5409815211 -
The
cube root of 138373475128000 is 51723.0686108273
Scales and comparisons
How big is 138373475128000?- 138,373,475,128,000 seconds is equal to 4,399,848 years, 25 weeks, 4 days, 26 minutes, 40 seconds.
-
To count from 1 to 138,373,475,128,000 would take you about ten million, nine hundred ninety-nine thousand, six hundred twenty-one 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 138373475128000 cubic inches would be around 4310.3 feet tall.
Recreational maths with 138373475128000
- 138373475128000 backwards is 000821574373831
- The number of decimal digits it has is: 15
- The sum of 138373475128000's digits is 52
- More coming soon!
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"Number 138373475128000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138373475128000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138373475128000/
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The information we have on file for 138373475128000 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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