138180303878406272
138,180,303,878,406,272 is an even composite number composed of five prime numbers multiplied together.
What does the number 138180303878406272 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 648 divisors.
138180303878406272 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 138180303878406272:
27 × 72 × 172 × 432 × 64212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 17 × 17 × 43 × 43 × 6421 × 6421)See below for interesting mathematical facts about the number 138180303878406272 from the Numbermatics database.
Names of 138180303878406272
- Cardinal: 138180303878406272 can be written as One hundred thirty-eight quadrillion, one hundred eighty trillion, three hundred three billion, eight hundred seventy-eight million, four hundred six thousand, two hundred seventy-two.
Scientific notation
- Scientific notation: 1.38180303878406272 × 1017
Factors of 138180303878406272
Divisors of 138180303878406272
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 7 8 14 16 17 28 32 34 43 49 56 64 68 86 98 112 119 128 136 172 196 224 238 272 289 301 344 392 448 476 544 578 602 688 731 784 833 896 952 1088 1156 1204 1376 1462 1568 1666 1849 1904 2023 2107 2176 2312 2408 2752 2924 3136 3332 3698 3808 4046 4214 4624 4816 5117 5504 5848 6272 6421 6664 7396 7616 8092 8428 9248 9632 10234 11696 12427 12842 12943 13328 14161 14792 15232 16184 16856 18496 19264 20468 23392 24854 25684 25886 26656 28322 29584 31433 32368 33712 35819 36992 38528 40936 44947 46784 49708 51368 51772 53312 56644 59168 62866 64736 67424 71638 81872 86989 89894 90601 93568 99416 102736 103544 106624 109157 113288 118336 125732 129472 134848 143276 163744 173978 179788 181202 198832 205472 207088 218314 220031 226576 236672 251464 258944 269696 276103 286552 314629 327488 347956 359576 362404 397664 410944 414176 436628 440062 453152 502928 534361 552206 573104 608923 629258 654976 695912 719152 724808 764099 795328 821888 828352 873256 880124 906304 1005856 1068722 1104412 1146208 1217846 1258516 1391824 1438304 1449616 1528198 1540217 1590656 1656704 1746512 1760248 1812608 1855669 1932721 2011712 2137444 2208824 2292416 2435692 2517032 2783648 2876608 2899232 3056396 3080434 3493024 3520496 3711338 3740527 3865442 4023424 4274888 4417648 4584832 4693751 4871384 5034064 5348693 5567296 5753216 5798464 6112792 6160868 6986048 7040992 7422676 7481054 7730884 8549776 8835296 9387502 9742768 10068128 10697386 11134592 11596928 11872429 12225584 12321736 12989683 13529047 13972096 14081984 14845352 14962108 15461768 17099552 17670592 18775004 19485536 20136256 21394772 23744858 24451168 24643472 25979366 26183689 27058094 28163968 29690704 29924216 30923536 32856257 34199104 35341184 37550008 38971072 40272512 41229241 42789544 47489716 48902336 49286944 51958732 52367378 54116188 59381408 59848432 61847072 65712514 68398208 75100016 77942144 79793767 82458482 83107003 85579088 90927781 94979432 97804672 98573888 103917464 104734756 108232376 118762816 119696864 123694144 131425028 150200032 159587534 164916964 166214006 171158176 181855562 189958864 197147776 201831293 207834928 209469512 216464752 229993799 237525632 239393728 247388288 262850056 288604687 300400064 319175068 329833928 332428012 342316352 363711124 379917728 403662586 415669856 418939024 432929504 459987598 478787456 525700112 558556369 577209374 581749021 600800128 638350136 659667856 664856024 684632704 700897097 727422248 759835456 807325172 831339712 837878048 865859008 919975196 1051400224 1117112738 1154418748 1163498042 1276700272 1319335712 1329712048 1401794194 1412819051 1454844496 1519670912 1614650344 1662679424 1675756096 1731718016 1772857363 1839950392 2020232809 2102800448 2234225476 2308837496 2326996084 2553400544 2638671424 2659424096 2803588388 2825638102 2909688992 3229300688 3351512192 3431131981 3545714726 3679900784 3909894583 4040465618 4205600896 4468450952 4617674992 4653992168 4906279679 5106801088 5277342848 5318848192 5607176776 5651276204 5819377984 6458601376 6862263962 7091429452 7359801568 7819789166 8080931236 8936901904 9235349984 9307984336 9812559358 9889733357 10213602176 10637696384 11214353552 11302552408 11638755968 11915250649 12410001541 12917202752 13724527924 14182858904 14719603136 15639578332 16161862472 17873803808 18470699968 18615968672 19625118716 19779466714 22428707104 22605104816 23830501298 24017923867 24820003082 25834405504 27449055848 28365717808 29439206272 30138575171 31279156664 32323724944 34343957753 35747607616 36941399936 37231937344 39250237432 39558933428 44857414208 45210209632 47661002596 48035847734 49640006164 54898111696 56731435616 60277150342 62558313328 64647449888 68687915506 71495215232 74463874688 76232866609 78500474864 79117866856 83406754543 86870010787 89714828416 90420419264 95322005192 96071695468 99280012328 109796223392 113462871232 120554300684 125116626656 129294899776 137375831012 152465733218 157000949728 158235733712 166813509086 168125467069 173740021574 180840838528 190644010384 192143390936 198560024656 210970026197 219592446784 226925742464 241108601368 250233253312 258589799552 274751662024 304931466436 314001899456 316471467424 333627018172 336250934138 347480043148 381288020768 384286781872 397120049312 421940052394 439184893568 482217202736 500466506624 512355777907 533630066263 549503324048 583847281801 609862932872 628003798912 632942934848 667254036344 672501868276 694960086296 762576041536 768573563744 794240098624 843880104788 964434405472 1024711555814 1067260132526 1099006648096 1167694563602 1219725865744 1265885869696 1295958732353 1334508072688 1345003736552 1389920172592 1476790183379 1525152083072 1537147127488 1588480197248 1687760209576 1928868810944 2049423111628 2134520265052 2198013296192 2335389127204 2439451731488 2591917464706 2669016145376 2690007473104 2779840345184 2953580366758 3074294254976 3375520419152 3586490445349 3735410463841 3857737621888 4098846223256 4269040530104 4396026592384 4670778254408 4878903462976 5183834929412 5338032290752 5380014946208 5559680690368 5907160733516 6751040838304 7172980890698 7470820927682 8197692446512 8538081060208 9071711126471 9341556508816 9757806925952 10367669858824 10676064581504 10760029892416 11119361380736 11814321467032 13502081676608 14345961781396 14941641855364 16395384893024 17076162120416 18143422252942 18683113017632 20735339717648 21520059784832 22031298450001 23628642934064 25105433117443 27004163353216 28691923562792 29883283710728 32790769786048 34152324240832 36286844505884 37366226035264 41470679435296 44062596900002 47257285868128 50210866234886 57383847125584 59766567421456 63501977885297 65581539572096 68304648481664 72573689011768 74732452070528 82941358870592 88125193800004 94514571736256 100421732469772 114767694251168 119533134842912 127003955770594 145147378023536 154219089150007 165882717741184 176250387600008 189029143472512 200843464939544 229535388502336 239066269685824 254007911541188 290294756047072 308438178300014 352500775200016 401686929879088 459070777004672 478132539371648 508015823082376 580589512094144 616876356600028 705001550400032 803373859758176 1016031646164752 1079533624050049 1161179024188288 1233752713200056 1410003100800064 1606747719516352 2032063292329504 2159067248100098 2467505426400112 2820006201600128 3213495439032704 4064126584659008 4318134496200196 4935010852800224 8128253169318016 8636268992400392 9870021705600448 17272537984800784 19740043411200896 34545075969601568 69090151939203136 138180303878406272
- Sum of all divisors σ(n): 348318873565222455
- Sum of proper divisors (its aliquot sum) s(n): 210138569686816183
- 138180303878406272 is an abundant number, because the sum of its proper divisors (210138569686816183) is greater than itself. Its abundance is 71958265808409911
Bases of 138180303878406272
- Binary: 1111010101110101001000001000101111010000011000000100000002
- Hexadecimal: 0x1EAEA4117A0C080
- Base-36: 11SKTV9FHDA8
Squares and roots of 138180303878406272
- 138180303878406272 squared (1381803038784062722) is 19093796379928699415718410688937984
- 138180303878406272 cubed (1381803038784062723) is 2638386585970961300080157431245676712364118164635648
-
The
square root of 138180303878406272 is 371726114.0657275265 -
The
cube root of 138180303878406272 is 516989.8870009393
Scales and comparisons
How big is 138180303878406272?- 138,180,303,878,406,272 seconds is equal to 4,393,706,243 years, 30 weeks, 4 days, 17 hours, 44 minutes, 32 seconds.
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To count from 1 to 138,180,303,878,406,272 would take you about thirteen billion, one hundred eighty-one million, one hundred eighteen thousand, seven hundred thirty 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 138180303878406272 cubic inches would be around 43082.5 feet tall.
Recreational maths with 138180303878406272
- 138180303878406272 backwards is 272604878303081831
- The number of decimal digits it has is: 18
- The sum of 138180303878406272's digits is 71
- More coming soon!
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The information we have on file for 138180303878406272 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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