137382115827000
137,382,115,827,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137382115827000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2048 divisors.
137382115827000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 137382115827000:
23 × 3 × 53 × 113 × 173 × 47 × 149
(2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 17 × 17 × 17 × 47 × 149)See below for interesting mathematical facts about the number 137382115827000 from the Numbermatics database.
Names of 137382115827000
- Cardinal: 137382115827000 can be written as One hundred thirty-seven trillion, three hundred eighty-two billion, one hundred fifteen million, eight hundred twenty-seven thousand.
Scientific notation
- Scientific notation: 1.37382115827 × 1014
Factors of 137382115827000
Divisors of 137382115827000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 25 30 33 34 40 44 47 50 51 55 60 66 68 75 85 88 94 100 102 110 120 121 125 132 136 141 149 150 165 170 187 188 200 204 220 235 242 250 255 264 275 282 289 298 300 330 340 363 374 375 376 408 425 440 447 470 484 500 510 517 550 561 564 578 596 600 605 660 680 705 726 745 748 750 799 825 850 867 894 935 940 968 1000 1020 1034 1100 1122 1128 1156 1175 1192 1210 1275 1320 1331 1375 1410 1445 1452 1490 1496 1500 1551 1598 1639 1650 1700 1734 1788 1815 1870 1880 2040 2057 2068 2125 2200 2235 2244 2312 2350 2397 2420 2533 2550 2585 2662 2750 2805 2820 2890 2904 2980 3000 3025 3102 3179 3196 3278 3300 3400 3468 3525 3576 3630 3725 3740 3993 3995 4114 4125 4136 4250 4335 4470 4488 4675 4700 4794 4840 4913 4917 5066 5100 5170 5324 5500 5610 5640 5687 5780 5875 5960 6050 6171 6204 6358 6375 6392 6556 6600 6655 6936 7003 7050 7225 7260 7450 7480 7599 7755 7986 7990 8195 8228 8250 8500 8670 8789 8940 9075 9350 9400 9537 9588 9826 9834 10132 10200 10285 10340 10648 11000 11175 11220 11374 11560 11750 11985 12100 12342 12408 12665 12716 12750 12925 13112 13310 13583 14006 14025 14100 14450 14520 14739 14900 15125 15198 15510 15895 15972 15980 16390 16456 16500 17000 17061 17340 17578 17625 17880 18029 18150 18625 18700 19074 19176 19652 19668 19965 19975 20264 20570 20680 21009 21675 22350 22440 22627 22748 23375 23500 23970 24200 24565 24585 24684 25330 25432 25500 25850 26367 26620 27166 27863 28012 28050 28200 28435 28900 29478 29800 30250 30396 30855 31020 31790 31944 31960 32780 33000 33275 34122 34680 34969 35015 35156 35250 36058 36125 36300 37250 37400 37995 38148 38775 39304 39336 39930 39950 40749 40975 41140 42018 43061 43350 43945 44700 45254 45375 45496 46750 47000 47685 47940 49130 49170 49368 50660 51000 51425 51700 52734 53240 54043 54087 54332 55726 55875 56024 56100 56870 57800 58956 59925 60500 60792 61710 62040 62557 63325 63580 64625 65560 66550 67881 67915 68244 69938 70030 70125 70312 70500 72116 72250 72600 73695 74500 75990 76296 77033 77550 79475 79860 79900 81498 81950 82280 83589 84036 85305 86122 86700 87890 89400 90145 90508 90750 93500 95370 95880 96679 98260 98340 99825 99875 101320 102850 103400 104907 105045 105468 108086 108174 108375 108664 111452 111750 112200 113135 113740 117912 119051 119850 121000 122825 122925 123420 125114 126650 127160 129183 129250 131835 133100 135762 135830 136488 139315 139876 140060 140250 141000 142175 144232 144500 147390 149000 149413 151980 154066 154275 155100 158950 159720 159800 162129 162996 163900 166375 167178 168072 170610 172244 173400 174845 175075 175780 180290 181016 181500 187000 187671 189975 190740 193358 193875 196520 196680 198319 199650 199750 203745 204875 205700 209814 210090 210936 215305 216172 216348 216750 219725 222904 223500 226270 227480 230911 231099 238102 238425 239700 245650 245850 246840 250228 253300 257125 258366 258500 263670 266200 270215 270435 271524 271660 278630 279752 280120 280500 284350 289000 290037 294780 298826 299625 303960 306493 308132 308550 310200 312785 316625 317900 324258 325992 327800 332750 334356 339405 339575 341220 344488 349690 350150 351560 357153 360580 363000 368475 375342 379950 381480 384659 385165 386716 387750 396638 397375 399300 399500 407490 409750 411400 417945 419628 420180 426525 430610 432344 432696 433500 439450 447000 448239 450725 452540 461822 462198 473671 476204 476850 479400 483395 491300 491700 499125 500456 506600 514250 516732 517000 524535 525225 527340 540430 540870 543048 543320 557260 561000 565675 568700 580074 589560 594473 594957 595255 597652 599250 612986 614125 614625 616264 617100 625570 633250 635800 645915 648516 659175 665500 668712 678810 679150 682440 692733 696575 699380 700300 710875 714306 721160 732037 736950 747065 750684 759900 769318 770330 771375 773432 775500 793276 794750 798600 799000 810645 814980 819500 835890 839256 840360 847363 853050 861220 867000 874225 875375 878900 896478 901450 905080 919479 923644 924396 938355 947342 949875 952408 953700 966790 982600 983400 991595 998250 1018725 1028500 1033464 1049070 1050450 1054680 1063469 1076525 1080860 1081740 1098625 1114520 1131350 1137400 1153977 1154555 1155495 1160148 1188946 1189914 1190510 1192125 1195304 1198500 1225972 1228250 1229250 1234200 1251140 1266500 1291830 1297032 1309561 1318350 1331000 1351075 1352175 1357620 1358300 1385466 1393150 1398760 1400600 1421013 1421750 1428612 1450185 1464074 1473900 1494130 1501368 1519800 1532465 1538636 1540660 1542750 1551000 1563925 1586552 1589500 1621290 1629960 1639000 1643543 1671780 1694726 1697025 1697875 1706100 1722440 1748450 1750750 1757800 1783419 1785765 1792956 1802900 1838958 1842375 1847288 1848792 1876710 1894684 1899750 1907400 1923295 1925825 1933580 1983190 1996500 2023867 2037450 2057000 2089725 2098140 2100900 2126938 2132625 2153050 2161720 2163480 2196111 2197250 2241195 2253625 2262700 2307954 2309110 2310990 2320296 2368355 2377892 2379828 2381020 2384250 2397000 2416975 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14405171 14501850 14640740 14739000 14861825 14873925 14881375 14941300 15240126 15324650 15386360 15406600 15631143 15639250 15714732 15952035 16104814 16147875 16190936 16212900 16435430 16717800 16857115 16947260 16970250 17061000 17318325 17484500 17568888 17834190 17857650 17929560 18029000 18078973 18300925 18389580 18641986 18676625 18767100 18946840 19232950 19258250 19335800 19617609 19643415 19722516 19831900 20228538 20238670 20266125 20320168 20336712 20374500 20841524 20897250 20981400 21009000 21184075 21269380 21530500 21961110 22262537 22411950 22627000 22986975 23079540 23091100 23109900 23458875 23683550 23778920 23798280 23810200 24157221 24169750 24286404 24653145 24789875 25400210 25420890 25523256 25836600 26051905 26156812 26191220 26226750 26367000 26586725 26971384 27021500 27043500 27709320 27863000 27940231 27962979 28420260 28810342 28849425 28863875 28887375 29003700 29281480 29723650 29747850 29762750 29882600 30358005 30480252 30649300 31262286 31278500 31429464 31904070 32209628 32295750 32425800 32696015 32739025 32870860 33714230 33894520 33940500 34405739 34636650 34969000 35525325 35668380 35715300 36157946 36254625 36601850 36779160 37283972 37353250 37534200 38100315 38311625 38465900 38516500 39235218 39286830 39445032 39663800 40262035 40457076 40477340 40532250 40749000 41088575 41683048 41794500 42368150 42538760 43061000 43215513 43922220 44525074 44585475 44644125 44823900 45973950 46159080 46182200 46219800 46604965 46917750 47367100 48082375 48314442 48339500 48572808 49306290 49579750 50571345 50596675 50800420 50841780 52103810 52313624 52382440 52453500 53173450 54043000 54087000 54236919 54902775 55880462 55925958 56029875 56840520 57314191 57620684 57698850 57727750 57774750 58007400 59208875 59447300 59495700 59525500 60716010 60960504 61298600 62524572 62557000 63500525 63552225 63808140 64419256 64591500 65392030 65478050 65741720 66787611 67428460 67881000 68811478 69273300 71050650 71336760 71430600 72025855 72315892 72509250 73203700 74309125 74369625 74567944 74706500 76200630 76623250 76931800 77033000 78155715 78470436 78573660 79760175 80524070 80914152 80954680 81064500 82177150 83589000 83820693 84285575 84736300 86431026 86591625 87844440 88576477 89050148 89170950 89288250 89647800 90394865 91504625 91947900 93209930 93835500 94734200 96164750 96628884 96679000 98088045 98217075 98612580 99159500 101142690 101193350 101600840 101683560 103217217 104207620 104907000 105920375 106346900 108473838 109805550 111312685 111760924 111851916 112059750 114628382 114934875 115241368 115397700 115455500 115549500 118417750 118894600 118991400 119051000 120786105 121432020 123265725 125049144 127001050 127104450 127616280 129183000 130259525 130784060 130956100 132933625 133575222 134856920 137622956 138546600 139701155 139814895 142101300 144051710 144247125 144631784 145018500 146407400 148618250 148739250 149413000 151790025 152401260 153246500 156311430 156940872 157147320 158456881 159520350 161048140 162129000 163480075 163695125 164354300 167641386 168571150 169472600 171942573 172028695 172862052 173183250 177152954 177626625 178100296 178341900 178576500 180789730 183009250 183895800 186419860 187671000 190501575 192329500 193257768 196176090 196434150 197225160 198319000 201310175 202285380 202386700 205442875 206434434 208415240 211840750 212693800 216077565 216947676 219611100 222625370 222927375 223521848 223703832 224119500 229256764 229869750 230795400 230911000 231099000 233024825 236835500 241572210 242864040 244887907 246531450 252856725 252983375 254002100 254208900 260519050 261568120 261912200 265729431 265867250 267150444 271184595 274513875 275245912 279402310 279629790 284202600 286570955 288103420 288494250 290037000 297236500 297478500 303580050 304802520 306493000 307342541 312622860 316913762 317502625 317761125 319040700 322096280 326960150 327390250 328708600 333938055 335282772 337142300 343885146 344057390 345724104 346366500 354305908 355253250 356683800 357153000 360129275 361579460 366018500 372839720 378463129 381003150 384659000 390778575 392352180 392868300 398800875 402620350 404570760 404773400 410885750 412868868 419103465 421427875 423681500 432155130 433895352 439222200 442882385 445250740 445854750 448239000 451974325 458513528 459739500 466049650 473671000 475370643 483144420 489775814 490440225 491085375 493062900 505713450 505966750 508004200 508417800 516086085 521038100 531458862 531734500 534300888 542369190 549027750 556563425 558804620 559259580 573141910 576206840 576988500 594473000 594957000 603930525 607160100 614685082 616328625 625245720 633827524 635005250 635522250 638081400 651297625 653920300 654780500 667876110 670565544 674284600 687770292 688114780 692733000 698505775 699074475 708611816 710506500 720258550 723158920 732037000 734663721 756926258 758950125 762006300 781557150 784704360 785736600 792284405 797601750 805240700 817400375 821771500 825737736 838206930 842855750 847363000 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2095517325 2125835448 2160775650 2169476760 2196111000 2214411925 2226253700 2259871625 2270778774 2292567640 2330248250 2376853215 2415722100 2448879070 2452201125 2458740328 2465314500 2528567250 2540021000 2542089000 2580430425 2605190500 2657294310 2671504440 2693766977 2711845950 2782817125 2794023100 2796297900 2865709550 2881034200 2923023741 2938654884 3019652625 3027705032 3035800500 3073425410 3126228600 3169137620 3190407000 3269601500 3339380550 3352827720 3371423000 3438851460 3440573900 3492528875 3495372375 3543059080 3601292750 3615794600 3673318605 3688110492 3784631290 3802965144 3810031500 3897364988 3907785750 3923521800 3928683000 3961422025 4026203500 4128688680 4163094419 4191034650 4298564325 4300717375 4321551300 4428823850 4452507400 4519743250 4541557548 4610138115 4660496500 4753706430 4831444200 4871706235 4897758140 4904402250 4930629000 5057134500 5160860850 5210381000 5314588620 5387533954 5401939125 5423691900 5565634250 5588046200 5592595800 5676946935 5731419100 5846047482 5877309768 6039305250 6071601000 6122197675 6146850820 6338275240 6539203000 6643235775 6678761100 6779614875 6877702920 6881147800 6985057750 6990744750 7164273875 7202585500 7346637210 7376220984 7569262580 7620063000 7683563525 7794729976 7815571500 7922844050 8052407000 8081300931 8326188838 8348451375 8382069300 8597128650 8601434750 8643102600 8857647700 9039486500 9083115096 9220276230 9320993000 9461578225 9507412860 9743412470 9795516280 9808804500 10114269000 10321721700 10477586625 10629177240 10775067908 10803878250 10847383800 11072059625 11131268500 11353893870 11462838200 11692094964 11884266075 12078610500 12244395350 12293701640 12489283257 12902152125 13286471550 13357522200 13468834885 13559229750 13970115500 13981489500 14328547750 14405171000 14615118705 14693274420 15138525160 15367127050 15631143000 15845688100 16162601862 16652377676 16696902750 16764138600 17194257300 17202869500 17715295400 18078973000 18366593025 18440552460 18923156450 19014825720 19486824940 19617609000 19807110125 20643443400 20815472095 20955173250 21492821625 21550135816 21607756500 22144119250 22262537000 22707787740 23050690575 23384189928 23768532150 24157221000 24358531175 24488790700 24978566514 25804304250 26572943100 26937669770 27118459500 27940231000 27962979000 28384734675 28657095500 29230237410 29386548840 30610988375 30734254100 31691376200 32325203724 33216178875 33304755352 33393805500 34388514600 34405739000 36733186050 36881104920 37846312900 38417817625 38973649880 39614220250 40406504655 41630944190 41910346500 42985643250 43215513000 44288238500 45415575480 45794038609 46101381150 47307891125 47537064300 48717062350 48977581400 49957133028 51608608500 53145886200 53875339540 54236919000 56769469350 57314191000 58460474820 59421330375 61221976750 61468508200 62446416285 64650407448 66432357750 66787611000 67344174425 73075593525 73466372100 75692625800 76835635250 79228440500 80813009310 83261888380 83820693000 85971286500 88576477000 91588077218 91832965125 92202762300 94615782250 95074128600 97434124700 99914266056 103217217000 104077360475 107750679080 113538938700 115253452875 116920949640 118842660750 121792655875 122443953500 124892832570 132864715500 134688348850 137382115827 141923673375 146151187050 146932744200 153671270500 158456881000 161626018620 166523776760 171942573000 183176154436 183665930250 184405524600 189231564500 194868249400 202032523275 208154720950 227077877400 228970193045 230506905750 237685321500 243585311750 244887907000 249785665140 265729431000 269376697700 274764231654 283847346750 292302374100 307342541000 312232081425 323252037240 336720872125 365377967625 366352308872 367331860500 378463129000 404065046550 416309441900 457940386090 461013811500 475370643000 487170623500 499571330280 520386802375 538753395400 549528463308 567694693500 584604748200 624464162850 673441744250 686910579135 730755935250 734663721000 808130093100 832618883800 915880772180 922027623000 974341247000 1010162616375 1040773604750 1099056926616 1135389387000 1144850965225 1248928325700 1346883488500 1373821158270 1461511870500 1561160407125 1616260186200 1831761544360 2020325232750 2081547209500 2289701930450 2497856651400 2693766977000 2747642316540 2923023741000 3122320814250 3434552895675 4040650465500 4163094419000 4579403860900 5495284633080 5724254826125 6244641628500 6869105791350 8081300931000 9158807721800 11448509652250 12489283257000 13738211582700 17172764478375 22897019304500 27476423165400 34345528956750 45794038609000 68691057913500 137382115827000
- Sum of all divisors σ(n): 515015055360000
- Sum of proper divisors (its aliquot sum) s(n): 377632939533000
- 137382115827000 is an abundant number, because the sum of its proper divisors (377632939533000) is greater than itself. Its abundance is 240250823706000
Bases of 137382115827000
- Binary: 111110011110010110001000011011001011101001110002
- Hexadecimal: 0x7CF2C4365D38
- Base-36: 1CP4H0NUBC
Squares and roots of 137382115827000
- 137382115827000 squared (1373821158270002) is 18873845749103243893929000000
- 137382115827000 cubed (1373821158270003) is 2592928862804233434017184380114283000000000
-
The
square root of 137382115827000 is 11721011.7236951863 -
The
cube root of 137382115827000 is 51599.2513145533
Scales and comparisons
How big is 137382115827000?- 137,382,115,827,000 seconds is equal to 4,368,326 years, 17 weeks, 2 days, 50 minutes.
-
To count from 1 to 137,382,115,827,000 would take you about ten million, nine hundred twenty thousand, eight hundred fifteen 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 137382115827000 cubic inches would be around 4299.9 feet tall.
Recreational maths with 137382115827000
- 137382115827000 backwards is 000728511283731
- The number of decimal digits it has is: 15
- The sum of 137382115827000's digits is 48
- More coming soon!
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Cite this page
MLA style:
"Number 137382115827000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 137382115827000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/137382115827000/
Chicago style:
Numbermatics. 2024. "Number 137382115827000 - Facts about the integer". https://numbermatics.com/n/137382115827000/
The information we have on file for 137382115827000 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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