131328157727232
131,328,157,727,232 is an even composite number composed of five prime numbers multiplied together.
What does the number 131328157727232 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
131328157727232 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 131328157727232:
29 × 32 × 232 × 293 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 23 × 23 × 29 × 29 × 29 × 47 × 47)See below for interesting mathematical facts about the number 131328157727232 from the Numbermatics database.
Names of 131328157727232
- Cardinal: 131328157727232 can be written as One hundred thirty-one trillion, three hundred twenty-eight billion, one hundred fifty-seven million, seven hundred twenty-seven thousand, two hundred thirty-two.
Scientific notation
- Scientific notation: 1.31328157727232 × 1014
Factors of 131328157727232
Divisors of 131328157727232
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 23 24 29 32 36 46 47 48 58 64 69 72 87 92 94 96 116 128 138 141 144 174 184 188 192 207 232 256 261 276 282 288 348 368 376 384 414 423 464 512 522 529 552 564 576 667 696 736 752 768 828 841 846 928 1044 1058 1081 1104 1128 1152 1334 1363 1392 1472 1504 1536 1587 1656 1682 1692 1856 2001 2088 2116 2162 2208 2209 2256 2304 2523 2668 2726 2784 2944 3008 3174 3243 3312 3364 3384 3712 4002 4089 4176 4232 4324 4416 4418 4512 4608 4761 5046 5336 5452 5568 5888 6003 6016 6348 6486 6624 6627 6728 6768 7424 7569 8004 8178 8352 8464 8648 8832 8836 9024 9522 9729 10092 10672 10904 11136 11776 12006 12032 12267 12696 12972 13248 13254 13456 13536 14848 15138 15341 16008 16356 16704 16928 17296 17664 17672 18048 19044 19343 19458 19881 20184 21344 21808 22272 24012 24064 24389 24534 24863 25392 25944 26496 26508 26912 27072 30276 30682 31349 32016 32712 33408 33856 34592 35328 35344 36096 38088 38686 38916 39527 39762 40368 42688 43616 44544 46023 48024 48778 49068 49726 50784 50807 51888 52992 53016 53824 54144 58029 60552 61364 62698 64032 64061 65424 66816 67712 69184 70688 72192 73167 74589 76176 77372 77832 79054 79524 80736 85376 87232 92046 94047 96048 97556 98136 99452 101568 101614 103776 105984 106032 107648 108288 116058 118581 121104 122728 125396 128064 128122 130848 133632 135424 138069 138368 141376 146334 149178 152352 152421 154744 155664 158108 159048 161472 170752 174087 174464 184092 188094 192096 192183 195112 196272 198904 203136 203228 207552 212064 215296 216576 219501 223767 232116 237162 242208 245456 250792 256128 256244 261696 270848 276138 276736 282141 282752 292668 298356 304704 304842 309488 311328 316216 318096 322944 341504 348174 348928 355743 368184 376188 384192 384366 390224 392544 397808 406272 406456 415104 424128 430592 439002 444889 447534 457263 464232 474324 484416 490912 501584 512256 512488 523392 552276 553472 560947 564282 565504 576549 585336 596712 609408 609684 618976 622656 632432 636192 645888 696348 697856 711486 721027 736368 752376 768384 768732 780448 785088 795616 812544 812912 830208 848256 878004 889778 895068 909121 914526 928464 948648 968832 981824 1003168 1024512 1024976 1046784 1104552 1121894 1128564 1131008 1146283 1153098 1168561 1170672 1193424 1218816 1219368 1237952 1245312 1264864 1272384 1291776 1334667 1392696 1422972 1442054 1472736 1473403 1504752 1536768 1537464 1560896 1570176 1591232 1625824 1660416 1682841 1696512 1756008 1779556 1790136 1818242 1829052 1856928 1857769 1897296 1937664 1963648 2006336 2049952 2093568 2163081 2209104 2243788 2257128 2292566 2306196 2337122 2341344 2386848 2437632 2438736 2475904 2490624 2529728 2544768 2669334 2727363 2785392 2845944 2884108 2945472 2946806 3009504 3073536 3074928 3121792 3140352 3182464 3251648 3365682 3393024 3438849 3505683 3512016 3559112 3580272 3636484 3658104 3713856 3715538 3794592 3875328 3927296 4004001 4012672 4099904 4326162 4418208 4420209 4487576 4514256 4585132 4612392 4674244 4682688 4773696 4877472 4951808 4981248 5048523 5059456 5089536 5338668 5454726 5570784 5573307 5691888 5768216 5890944 5893612 6019008 6149856 6243584 6280704 6364928 6489243 6503296 6731364 6877698 7011366 7024032 7118224 7160544 7272968 7316208 7427712 7431076 7589184 7854592 8008002 8025344 8182089 8199808 8652324 8836416 8840418 8975152 9028512 9170264 9224784 9348488 9365376 9547392 9754944 9903616 10097046 10118912 10179072 10316547 10517049 10677336 10909452 11141568 11146614 11383776 11536432 11781888 11787224 12038016 12299712 12487168 12729856 12901781 12978486 13006592 13260627 13462728 13755396 14022732 14048064 14236448 14321088 14545936 14632416 14855424 14862152 15178368 16016004 16050688 16364178 16399616 16719921 17304648 17672832 17680836 17950304 18057024 18340528 18449568 18696976 18730752 19094784 19509888 20194092 20237824 20633094 20909783 21034098 21354672 21818904 22283136 22293228 22767552 23072864 23563776 23574448 24076032 24599424 25803562 25956972 26013184 26364509 26521254 26925456 27510792 28045464 28096128 28472896 28642176 29091872 29264832 29710848 29724304 30356736 32032008 32728356 32799232 33439842 33888269 34609296 35345664 35361672 35900608 36114048 36681056 36899136 37393952 37461504 38189568 38705343 39019776 40388184 41266188 41819566 42068196 42709344 42728687 43637808 44566272 44586456 45535104 46145728 47148896 48152064 49198848 51607124 51913944 52729018 53042508 53850912 53875301 55021584 56090928 56192256 56945792 57284352 58183744 58529664 59448608 60713472 62729349 64064016 65456712 66879684 67776538 69218592 70691328 70723344 71801216 72228096 73362112 73798272 74787904 77410686 78039552 79093527 80776368 82532376 83639132 84136392 85418688 85457374 87275616 89132544 89172912 91070208 92291456 94297792 98397696 101664807 103214248 103827888 105458036 106085016 107701824 107750602 110043168 112181856 112384512 113891584 114568704 116116029 116367488 117059328 118897216 125458698 128128032 128186061 130913424 133759368 135553076 138437184 141446688 143602432 144456192 146724224 147596544 149575808 154821372 158187054 161552736 161625903 165064752 167278264 168272784 170837376 170914748 174551232 178345824 182140416 184582912 188188047 188595584 203329614 206428496 207655776 210916072 212170032 215403648 215501204 220086336 224363712 227783168 232232058 232734976 234118656 237280581 237794432 250917396 256256064 256372122 261826848 267518736 271106152 276874368 282893376 287204864 293448448 295193088 299151616 304994421 309642744 316374108 323105472 323251806 330129504 334556528 336545568 341674752 341829496 349102464 356691648 369165824 376376094 377191168 384558183 406659228 412856992 415311552 421832144 424340064 430807296 431002408 440172672 448727424 464464116 465469952 474561162 475588864 484877709 501834792 512512128 512744244 523653696 535037472 542212304 553748736 565786752 586896896 598303232 606383707 609988842 619285488 632748216 646210944 646503612 660259008 669113056 673091136 683349504 683658992 698204928 713383296 752752188 754382336 769116366 813318456 825713984 830623104 843664288 848680128 861614592 862004816 880345344 897454848 928928232 949122324 951177728 969755418 982759801 1003669584 1025024256 1025488488 1047307392 1070074944 1084424608 1107497472 1131573504 1212767414 1219977684 1238570976 1239131923 1265496432 1292421888 1293007224 1320518016 1338226112 1346182272 1367317984 1396409856 1426766592 1505504376 1538232732 1626636912 1651427968 1661246208 1687328576 1697360256 1724009632 1760690688 1794909696 1819151121 1857856464 1898244648 1939510836 1965519602 2007339168 2050048512 2050976976 2094614784 2140149888 2168849216 2263147008 2425534828 2439955368 2477141952 2478263846 2530992864 2584843776 2586014448 2641036032 2676452224 2692364544 2734635968 2853533184 2948279403 3011008752 3076465464 3253273824 3302855936 3322492416 3374657152 3394720512 3448019264 3638302242 3715712928 3717395769 3796489296 3879021672 3931039204 4014678336 4101953952 4189229568 4280299776 4337698432 4851069656 4879910736 4954283904 4956527692 5061985728 5172028896 5282072064 5352904448 5384729088 5457453363 5469271936 5896558806 6022017504 6152930928 6506547648 6605711872 6749314304 6789441024 6896038528 7276604484 7431425856 7434791538 7592978592 7758043344 7862078408 8029356672 8203907904 8560599552 8675396864 8844838209 9702139312 9759821472 9908567808 9913055384 10123971456 10344057792 10705808896 10914906726 10938543872 11152187307 11793117612 12044035008 12305861856 13013095296 13498628608 13792077056 14553208968 14862851712 14869583076 15185957184 15516086688 15724156816 16058713344 16407815808 17350793728 17689676418 19404278624 19519642944 19817135616 19826110768 20247942912 20688115584 21829813452 21877087744 22304374614 23586235224 24088070016 24611723712 26026190592 27584154112 28500034229 29106417936 29725703424 29739166152 30371914368 31032173376 31448313632 32117426688 32815631616 35379352836 38808557248 39039285888 39652221536 40495885824 41376231168 43659626904 44608749228 47172470448 48176140032 49223447424 52052381184 57000068458 58212835872 59451406848 59478332304 60743828736 62064346752 62896627264 65631263232 70758705672 77617114496 78078571776 79304443072 82752462336 85500102687 87319253808 89217498456 94344940896 96352280064 98446894848 114000136916 116425671744 118956664608 121487657472 124128693504 125793254528 141517411344 155234228992 156157143552 158608886144 171000205374 174638507616 178434996912 188689881792 196893789696 228000273832 232851343488 237913329216 248257387008 251586509056 256500308061 283034822688 310468457984 317217772288 342000410748 349277015232 356869993824 377379763584 456000547664 465702686976 475826658432 503173018112 513000616122 566069645376 634435544576 684000821496 698554030464 713739987648 754759527168 912001095328 931405373952 951653316864 1026001232244 1132139290752 1368001642992 1397108060928 1427479975296 1509519054336 1824002190656 1903306633728 2052002464488 2264278581504 2736003285984 2794216121856 2854959950592 3648004381312 4104004928976 4528557163008 5472006571968 5709919901184 7296008762624 8208009857952 10944013143936 14592017525248 16416019715904 21888026287872 32832039431808 43776052575744 65664078863616 131328157727232
- Sum of all divisors σ(n): 419284707381540
- Sum of proper divisors (its aliquot sum) s(n): 287956549654308
- 131328157727232 is an abundant number, because the sum of its proper divisors (287956549654308) is greater than itself. Its abundance is 156628391927076
Bases of 131328157727232
- Binary: 111011101110001001110000011000010111010000000002
- Hexadecimal: 0x77713830BA00
- Base-36: 1AJVBMBGG0
Squares and roots of 131328157727232
- 131328157727232 squared (1313281577272322) is 17247085012028726071714381824
- 131328157727232 cubed (1313281577272323) is 2265027900794687553523774113925211690631168
-
The
square root of 131328157727232 is 11459849.8125949277 -
The
cube root of 131328157727232 is 50829.9033602443
Scales and comparisons
How big is 131328157727232?- 131,328,157,727,232 seconds is equal to 4,175,829 years, 9 weeks, 6 days, 13 hours, 7 minutes, 12 seconds.
-
To count from 1 to 131,328,157,727,232 would take you about ten million, four hundred thirty-nine thousand, five hundred seventy-two 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 131328157727232 cubic inches would be around 4235.8 feet tall.
Recreational maths with 131328157727232
- 131328157727232 backwards is 232727751823131
- The number of decimal digits it has is: 15
- The sum of 131328157727232's digits is 54
- More coming soon!
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The information we have on file for 131328157727232 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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