137872321683568160
137,872,321,683,568,160 is an even composite number composed of eight prime numbers multiplied together.
137872321683568160 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 137872321683568160:
25 × 5 × 132 × 41 × 127 × 181 × 277 × 19531
(2 × 2 × 2 × 2 × 2 × 5 × 13 × 13 × 41 × 127 × 181 × 277 × 19531)See below for interesting mathematical facts about the number 137872321683568160 from the Numbermatics database.
Names of 137872321683568160
- Cardinal: 137872321683568160 can be written as One hundred thirty-seven quadrillion, eight hundred seventy-two trillion, three hundred twenty-one billion, six hundred eighty-three million, five hundred sixty-eight thousand, one hundred sixty.
Scientific notation
- Scientific notation: 1.3787232168356816 × 1017
Factors of 137872321683568160
Divisors of 137872321683568160
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 32 40 41 52 65 80 82 104 127 130 160 164 169 181 205 208 254 260 277 328 338 362 410 416 508 520 533 554 635 656 676 724 820 845 905 1016 1040 1066 1108 1270 1312 1352 1385 1448 1640 1651 1690 1810 2032 2080 2132 2216 2353 2540 2665 2704 2770 2896 3280 3302 3380 3601 3620 4064 4264 4432 4706 5080 5207 5330 5408 5540 5792 6560 6604 6760 6929 7202 7240 7421 8255 8528 8864 9412 10160 10414 10660 11080 11357 11765 13208 13520 13858 14404 14480 14842 16510 17056 18005 18824 19531 20320 20828 21320 21463 22160 22714 22987 23530 26035 26416 27040 27716 28808 28960 29684 30589 33020 34645 35179 36010 37105 37648 39062 41656 42640 42926 44320 45428 45974 46813 47060 50137 52070 52832 55432 56785 57616 59368 61178 66040 67691 69290 70358 72020 74210 75296 78124 83312 85280 85852 90856 91948 93626 94120 96473 97655 100274 104140 107315 110864 113570 114935 115232 118736 122356 132080 135382 138580 140716 144040 147641 148420 152945 156248 166624 171704 175895 181712 183896 187252 188240 192946 195310 200548 208280 214630 221728 227140 229870 234065 237472 244712 250685 253903 264160 270764 277160 281432 288080 295282 296840 298831 305890 312496 338455 343408 351790 363424 367792 374504 376480 385892 390620 401096 416560 429260 454280 457327 459740 468130 482365 489424 501370 507806 541528 554320 562864 576160 590564 593680 597662 611780 624992 651781 676910 686816 703580 735584 738205 749008 771784 781240 800771 802192 833120 858520 879983 908560 914654 919480 936260 942467 964730 978848 1002740 1015612 1083056 1108640 1125728 1181128 1187360 1195324 1223560 1254149 1269515 1303562 1353820 1407160 1442339 1476410 1494155 1498016 1543568 1562480 1601542 1604384 1717040 1759966 1817120 1829308 1838960 1872520 1884934 1919333 1929460 2005480 2031224 2055617 2166112 2286635 2362256 2390648 2447120 2480437 2508298 2539030 2607124 2707640 2814320 2884678 2952820 2988310 3087136 3124960 3203084 3258905 3300739 3434080 3519932 3535111 3658616 3677920 3745040 3769868 3838666 3858920 3884803 4003855 4010960 4062448 4111234 4399915 4573270 4712335 4724512 4781296 4894240 4960874 5016596 5078060 5214248 5410087 5415280 5628640 5769356 5905640 5945251 5976620 6270745 6367399 6406168 6517810 6601478 7039864 7070222 7211695 7317232 7490080 7539736 7677332 7717840 7769606 8007710 8021920 8124896 8222468 8473153 8799830 9146540 9424670 9562592 9596665 9921748 10033192 10156120 10278085 10410023 10428496 10820174 10830560 11538712 11811280 11890502 11953240 12252071 12402185 12541490 12734798 12812336 13035620 13202956 14079728 14140444 14423390 14634464 15079472 15354664 15435680 15539212 16015420 16444936 16503695 16946306 17599660 17675555 18293080 18750407 18849340 19193330 19424015 19843496 20066384 20312240 20556170 20820046 20856992 21640348 23077424 23622560 23781004 23906480 24504142 24804370 25082980 25469596 25624672 26071240 26405912 26723021 27050435 28159456 28280888 28846780 29726255 30158944 30709328 31078424 31836995 32030840 32245681 32889872 33007390 33892612 35199320 35351110 36586160 37500814 37698680 38386660 38848030 39686992 40132768 40624480 41112340 41640092 42365765 43280696 45956443 46154848 47562008 47812960 49008284 49608740 50165960 50939192 52050115 52142480 52811824 53446042 54100870 56561776 57693560 59452510 61260355 61418656 62156848 63673990 64061680 64491362 65779744 66014780 67785224 70331131 70398640 70702220 73172320 75001628 75397360 76773320 77696060 79373984 82224680 82776187 83280184 84731530 86561392 91912886 93752035 95124016 98016568 99217480 100331920 101697917 101878384 104100230 104284960 105623648 106892084 108201740 113123552 115387120 118905020 122520710 124313696 127347980 128123360 128982724 132029560 133615105 135330299 135570448 140662262 140797280 141404440 144939551 150003256 150794720 153546640 155392120 159276923 161228405 164449360 165552374 166560368 169463060 173122784 183825772 187504070 190248032 196033136 198434960 200663840 203395834 203756768 208200460 213784168 216403480 221813567 229782215 230774240 237810040 243755291 245041420 254695960 257965448 261063359 264059120 267230210 270660598 271140896 281324524 282808880 289879102 300006512 307093280 310784240 318553846 322456810 328898720 331104748 333120736 338926120 347399273 351655655 367651544 375008140 392066272 396869920 406791668 413880935 416400920 419193853 427568336 432806960 443627134 448959097 459564430 475620080 487510582 490082840 508489585 509391920 515930896 522126718 528118240 534460420 541321196 562649048 565617760 579758204 597433759 600013024 621568480 637107692 644913620 662209496 676651495 677852240 687081049 694798546 703311310 724697755 735303088 750016280 796384615 813583336 827761870 832801840 838387706 855136672 865613920 887254268 897918194 914304703 919128860 951240160 975021164 979225747 980165680 1016979170 1018783840 1031861792 1044253436 1068920840 1076090431 1082642392 1109067835 1125298096 1159516408 1194867518 1218776455 1274215384 1289827240 1305316795 1322072921 1324418992 1353302990 1355704480 1374162098 1389597092 1406622620 1449395510 1470606176 1500032560 1592769230 1627166672 1655523740 1665603680 1676775412 1736996365 1774508536 1795836388 1828609406 1838257720 1884214163 1950042328 1958451494 1960331360 2033958340 2088506872 2095969265 2137841680 2152180862 2165284784 2218135670 2244795485 2250596192 2319032816 2389735036 2437552910 2548430768 2579654480 2610633590 2644145842 2648837984 2706605980 2748324196 2779194184 2813245240 2883576371 2898791020 2987168795 3000065120 3185538460 3254333344 3311047480 3353550824 3393823667 3435405245 3473992730 3549017072 3591672776 3657218812 3676515440 3768428326 3900084656 3916902988 4067916680 4177013744 4191938530 4275683360 4304361724 4330569568 4436271340 4489590970 4571523515 4638065632 4779470072 4875105820 4896128735 5096861536 5159308960 5221267180 5288291684 5380452155 5413211960 5496648392 5558388368 5626490480 5767152742 5797582040 5836468261 5974337590 6371076920 6610364605 6622094960 6707101648 6787647334 6870810490 6947985460 7098034144 7183345552 7314437624 7353030880 7536856652 7800169312 7833805976 8135833360 8354027488 8383877060 8608723448 8872542680 8932053637 8979181940 9143047030 9421070815 9558940144 9750211640 9792257470 10442534360 10576583368 10760904310 10826423920 10993296784 11116776736 11252980960 11534305484 11595164080 11672936522 11948675180 12729934711 12742153840 13220729210 13244189920 13414203296 13575294668 13741620980 13895970920 14366691104 14417881855 14628875248 15073713304 15667611952 16271666720 16767754120 16969118335 17186947973 17217446896 17745085360 17864107274 17958363880 18286094060 18407322977 18842141630 19117880288 19500423280 19584514940 20885068720 21153166736 21521808620 21652847840 21986593568 23068610968 23190328160 23345873044 23897350360 24494784119 25459869422 25484307680 26441458420 27150589336 27483241960 27791941840 28170323009 28835763710 29182341305 29257750496 30147426608 31335223904 33535508240 33938236670 34373895946 34434893792 35490170720 35728214548 35916727760 36572188120 36814645954 37486492823 37684283260 39000846560 39169029880 40148255627 41770137440 42306333472 43043617240 44119707671 44660268185 46137221936 46691746088 47794700720 48989568238 50919738844 52882916840 54301178672 54966483920 55583883680 56340646018 57671527420 58364682610 60294853216 63649673555 67071016480 67876473340 68747791892 71456429096 71833455520 73144376240 73629291908 74972985646 75368566520 75874087393 78338059760 80296511254 85934739865 86087234480 88239415342 89320536370 92036614885 92274443872 93383492176 95589401440 97979136476 101839477688 105765833680 108602357344 109932967840 112681292036 115343054840 116116697281 116729365220 122473920595 124361669869 127299347110 135752946680 137495583784 140851615045 142912858192 146288752480 147258583816 149945971292 150737133040 151748174786 156676119520 160593022508 165489151243 171869479730 172174468960 176478830684 178641072740 184073229770 186766984352 187432464115 195958272952 200741278135 203678955376 211531667360 220598538355 225362584072 230686109680 232233394562 233458730440 239295198701 244947841190 248723339738 254598694220 271505893360 274991167568 281703230090 285825716384 294517167632 299891942584 301474266080 303496349572 321186045016 330978302486 343738959460 352957661368 357282145480 366214199117 368146459540 374864928230 379370436965 391916545904 401482556270 407357910752 441197076710 450725168144 461372219360 464466789124 466917460880 478590397402 489895682380 497446679476 509197388440 521927323151 543011786720 549982335136 563406460180 580583486405 589034335264 599783885168 606992699144 621808349345 642372090032 661956604972 687477918920 705915322736 714564290960 732428398234 736292919080 749729856460 758740873930 783833091808 802965112540 827445756215 882394153420 901450336288 928933578248 933834921760 957180794804 979791364760 994893358952 1018394776880 1043854646302 1126812920360 1161166972810 1196475993505 1199567770336 1213985398288 1243616698690 1284744180064 1323913209944 1374955837840 1411830645472 1429128581920 1464856796468 1472585838160 1499459712920 1517481747860 1605930225080 1616701708297 1654891512430 1764788306840 1831070995585 1857867156496 1914361589608 1959582729520 1989786717904 2036789553760 2087709292604 2253625840720 2322333945620 2392951987010 2427970796576 2487233397380 2609636615755 2647826419888 2749911675680 2929713592936 2945171676320 2998919425840 3034963495720 3110837583113 3211860450160 3233403416594 3309783024860 3529576613680 3662141991170 3715734312992 3828723179216 3919165459040 3979573435808 4175418585208 4507251681440 4644667891240 4760784588521 4785903974020 4974466794760 5098828464629 5219273231510 5295652839776 5859427185872 5997838851680 6069926991440 6221675166226 6423720900320 6466806833188 6619566049720 6785055200963 7059153227360 7324283982340 7657446358432 8083508541485 8350837170416 9289335782480 9521569177042 9571807948040 9948933589520 10197656929258 10438546463020 11718854371744 12139853982880 12443350332452 12933613666376 13239132099440 13570110401926 14648567964680 15554187915565 16167017082970 16701674340832 18578671564960 19043138354084 19143615896080 19897867179040 20395313858516 20877092926040 21017122207861 23803922942605 24886700664904 25494142323145 25867227332752 26478264198880 27140220803852 29297135929360 31108375831130 32334034165940 33925276004815 38086276708168 38287231792160 40790627717032 41754185852080 42034244415722 47607845885210 49773401329808 50988284646290 51734454665504 54280441607704 58594271858720 62216751662260 64668068331880 66284770040177 67850552009630 76172553416336 81581255434064 83508371704160 84068488831444 95215691770420 99546802659616 101976569292580 105085611039305 108560883215408 124433503324520 129336136663760 132569540080354 135701104019260 152345106832672 163162510868128 168136977662888 190431383540840 203953138585160 210171222078610 217121766430816 248867006649040 258672273327520 265139080160708 271402208038520 331423850200885 336273955325776 380862767081680 407906277170320 420342444157220 497734013298080 530278160321416 542804416077040 662847700401770 672547910651552 761725534163360 815812554340640 840684888314440 861702010522301 1060556320642832 1085608832154080 1325695400803540 1681369776628880 1723404021044602 2121112641285664 2651390801607080 3362739553257760 3446808042089204 4308510052611505 5302781603214160 6893616084178408 8617020105223010 10605563206428320 13787232168356816 17234040210446020 27574464336713632 34468080420892040 68936160841784080 137872321683568160
- Sum of all divisors σ(n): 367506520628502528
- Sum of proper divisors (its aliquot sum) s(n): 229634198944934368
- 137872321683568160 is an abundant number, because the sum of its proper divisors (229634198944934368) is greater than itself. Its abundance is 91761877261366208
Bases of 137872321683568160
- Binary: 1111010011101001000100101011001100100111010110110001000002
- Hexadecimal: 0x1E9D225664EB620
- Base-36: 11PJNQ70JGGW
Squares and roots of 137872321683568160
- 137872321683568160 squared (1378723216835681602) is 19008777086417299029064149365785600
- 137872321683568160 cubed (1378723216835681603) is 2620784229269765368500554820418705764312829546496000
-
The
square root of 137872321683568160 is 371311623.4156536069 -
The
cube root of 137872321683568160 is 516605.5048635197
Scales and comparisons
How big is 137872321683568160?- 137,872,321,683,568,160 seconds is equal to 4,383,913,362 years, 23 weeks, 1 day, 4 hours, 29 minutes, 20 seconds.
-
To count from 1 to 137,872,321,683,568,160 would take you about thirteen billion, one hundred fifty-one million, seven hundred forty thousand and eighty-seven 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 137872321683568160 cubic inches would be around 43050.5 feet tall.
Recreational maths with 137872321683568160
- 137872321683568160 backwards is 061865386123278731
- The number of decimal digits it has is: 18
- The sum of 137872321683568160's digits is 77
- More coming soon!
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"Number 137872321683568160 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 137872321683568160 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/137872321683568160/
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The information we have on file for 137872321683568160 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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