131442973728768
131,442,973,728,768 is an even composite number composed of seven prime numbers multiplied together.
131442973728768 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 131442973728768:
213 × 32 × 13 × 17 × 59 × 73 × 1873
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 17 × 59 × 73 × 1873)See below for interesting mathematical facts about the number 131442973728768 from the Numbermatics database.
Names of 131442973728768
- Cardinal: 131442973728768 can be written as One hundred thirty-one trillion, four hundred forty-two billion, nine hundred seventy-three million, seven hundred twenty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.31442973728768 × 1014
Factors of 131442973728768
Divisors of 131442973728768
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 32 34 36 39 48 51 52 59 64 68 72 73 78 96 102 104 117 118 128 136 144 146 153 156 177 192 204 208 219 221 234 236 256 272 288 292 306 312 354 384 408 416 438 442 468 472 512 531 544 576 584 612 624 657 663 708 767 768 816 832 876 884 936 944 949 1003 1024 1062 1088 1152 1168 1224 1241 1248 1314 1326 1416 1534 1536 1632 1664 1752 1768 1872 1873 1888 1898 1989 2006 2048 2124 2176 2301 2304 2336 2448 2482 2496 2628 2652 2832 2847 3009 3068 3072 3264 3328 3504 3536 3723 3744 3746 3776 3796 3978 4012 4096 4248 4307 4352 4602 4608 4672 4896 4964 4992 5256 5304 5619 5664 5694 6018 6136 6144 6528 6656 6903 7008 7072 7446 7488 7492 7552 7592 7956 8024 8192 8496 8541 8614 8704 9027 9204 9216 9344 9792 9928 9984 10512 10608 11169 11238 11328 11388 12036 12272 12288 12921 13039 13056 13312 13806 14016 14144 14892 14976 14984 15104 15184 15912 16048 16133 16857 16992 17082 17228 17408 18054 18408 18432 18688 19584 19856 19968 21024 21216 22338 22476 22656 22776 24072 24349 24544 24576 25842 26078 26112 26624 27612 28032 28288 29784 29952 29968 30208 30368 31824 31841 32096 32266 33714 33984 34164 34456 34816 36108 36816 36864 37376 38763 39117 39168 39712 39936 42048 42432 44676 44952 45312 45552 48144 48399 48698 49088 51684 52156 52224 53248 55224 55991 56064 56576 59568 59904 59936 60416 60736 63648 63682 64192 64532 67428 67968 68328 68912 69632 72216 73047 73219 73632 73728 74752 77526 78234 78336 79424 79872 84096 84864 89352 89904 90624 91104 95523 96288 96798 97396 98176 103368 104312 104448 106496 110448 110507 111982 112128 113152 117351 119136 119808 119872 120832 121472 127296 127364 128384 129064 134856 135936 136656 136729 137824 139264 144432 145197 146094 146438 147264 149504 155052 156468 156672 158848 159744 167973 168192 169728 178704 179808 181248 182208 191046 192576 193596 194792 196352 206736 208624 208896 219141 219657 220896 221014 223964 224256 226304 234702 238272 239616 239744 241664 242944 254592 254728 256768 258128 269712 271872 273312 273458 275648 286569 288864 290394 292188 292876 294528 299008 310104 312936 313344 317696 319488 331521 335946 336384 339456 357408 359616 362496 364416 382092 385152 387192 389584 392704 410187 413472 413933 417248 417792 438282 439314 441792 442028 447928 448512 452608 469404 476544 479232 479488 483328 485888 503919 509184 509456 513536 516256 539424 543744 546624 546916 551296 573138 577728 580788 584376 585752 589056 598016 620208 625872 626688 635392 658971 663042 671892 672768 678912 714816 719232 724992 728832 764184 770304 774384 779168 785408 820374 826944 827866 834496 876564 878628 883584 884056 895856 897024 905216 938808 951847 953088 958464 958976 971776 994563 1007838 1018368 1018912 1027072 1032512 1078848 1087488 1093248 1093832 1102592 1146276 1155456 1161576 1168752 1171504 1178112 1230561 1240416 1241799 1251744 1253376 1270784 1317942 1326084 1343784 1345536 1357824 1429632 1436591 1438464 1449984 1457664 1528368 1540608 1548768 1558336 1570816 1640748 1653888 1655732 1668992 1753128 1757256 1767168 1768112 1777477 1791712 1794048 1810432 1877616 1878619 1903694 1906176 1917952 1943552 1989126 2015676 2036736 2037824 2054144 2065024 2157696 2174976 2186496 2187664 2205184 2292552 2310912 2323152 2324393 2337504 2343008 2356224 2461122 2480832 2483598 2503488 2541568 2635884 2652168 2687568 2691072 2715648 2855541 2859264 2873182 2876928 2915328 3056736 3081216 3097536 3116672 3141632 3281496 3307776 3311464 3337984 3506256 3514512 3534336 3536224 3554954 3583424 3725397 3755232 3757238 3807388 3812352 3835904 3887104 3978252 4031352 4073472 4075648 4108288 4130048 4309773 4315392 4349952 4372992 4375328 4410368 4585104 4621824 4646304 4648786 4675008 4686016 4712448 4922244 4961664 4967196 5006976 5083136 5271768 5304336 5332431 5375136 5382144 5431296 5635857 5711082 5718528 5746364 5753856 5830656 6113472 6162432 6195072 6233344 6283264 6562992 6615552 6622928 6675968 6973179 7012512 7029024 7068672 7072448 7109908 7166848 7450794 7510464 7514476 7614776 7624704 7671808 7774208 7956504 8062704 8067011 8146944 8151296 8216576 8260096 8566623 8619546 8630784 8745984 8750656 8820736 9170208 9243648 9292608 9297572 9350016 9372032 9424896 9844488 9923328 9934392 10013952 10166272 10543536 10608672 10664862 10750272 11271714 11422164 11437056 11492728 11507712 11661312 12226944 12324864 12390144 12466688 12929319 13125984 13231104 13245856 13351936 13946358 14025024 14058048 14137344 14144896 14219816 14333696 14901588 15020928 15028952 15229552 15249408 15343616 15913008 15997293 16125408 16134022 16293888 16302592 16520192 16907571 17133246 17239092 17261568 17491968 17501312 17641472 18340416 18487296 18585216 18595144 18700032 18744064 18849792 19688976 19846656 19868784 20027904 20919537 21087072 21217344 21329724 21500544 22543428 22844328 22874112 22985456 23015424 23322624 24201033 24422047 24453888 24649728 24780288 24933376 25858638 26251968 26462208 26491712 26703872 27892716 28050048 28116096 28274688 28289792 28439632 28667392 29803176 30041856 30057904 30217109 30459104 30498816 31826016 31994586 32250816 32268044 32605184 33040384 33815142 34266492 34478184 34523136 34983936 35002624 35282944 36680832 36974592 37170432 37190288 37400064 37488128 39377952 39693312 39737568 40055808 41839074 42174144 42434688 42659448 43001088 45086856 45688656 45748224 45970912 46030848 48402066 48844094 48907776 49560576 49866752 51717276 52503936 52924416 52983424 53407744 55785432 56100096 56232192 56549376 56579584 56879264 57334784 59606352 60083712 60115808 60434218 60918208 63652032 63989172 64501632 64536088 65210368 66080768 67630284 68532984 68956368 69046272 69967872 70005248 72603099 73266141 73361664 73949184 74340864 74380576 74800128 74976256 78755904 79386624 79475136 80111616 83678148 84348288 84869376 85318896 86002176 90173712 90651327 91377312 91496448 91941824 96804132 97688188 97815552 99121152 99733504 103434552 104871143 105007872 105848832 105966848 106815488 111570864 112200192 112464384 113159168 113758528 114669568 119212704 120167424 120231616 120868436 121836416 127304064 127978344 129003264 129072176 130420736 132161536 135260568 137065968 137139187 137912736 138092544 140010496 145206198 146532282 146723328 148681728 148761152 149600256 149952512 157511808 158773248 158950272 160223232 167356296 168696576 169738752 170637792 172004352 180347424 181302654 182754624 183883648 193608264 195376376 195631104 198242304 199467008 206869104 209742286 210015744 211933696 219798423 223141728 224400384 224928768 226318336 227517056 229339136 238425408 240334848 240463232 241736872 243672832 254608128 255956688 258006528 258144352 260841472 270521136 271953981 274131936 274278374 275825472 280020992 290412396 293064564 293446656 297363456 297522304 299200512 299905024 314613429 315023616 317546496 317900544 320446464 334712592 337393152 339477504 341275584 344008704 360694848 362605308 365509248 367767296 387216528 390752752 391262208 396484608 411417561 413738208 419484572 420031488 423867392 439596846 446283456 448800768 449857536 452636672 455034112 458678272 476850816 480669696 480926464 483473744 487345664 509216256 511913376 516013056 516288704 541042272 543907962 548263872 548556748 551650944 560041984 580824792 586129128 586893312 594726912 595044608 598401024 599810048 629226858 630047232 635801088 669425184 674786304 678955008 682551168 688017408 721389696 725210616 731018496 735534592 774433056 781505504 782524416 822835122 827476416 838969144 840062976 847734784 879193692 892566912 897601536 899715072 905273344 910068224 943840287 953701632 961339392 961852928 966947488 974691328 1018432512 1023826752 1032026112 1032577408 1082084544 1087815924 1096527744 1097113496 1103301888 1120083968 1161649584 1172258256 1173786624 1189453824 1190089216 1234252683 1258453716 1260094464 1271602176 1338850368 1349572608 1357910016 1365102336 1376034816 1442779392 1450421232 1462036992 1471069184 1548866112 1563011008 1645670244 1654952832 1677938288 1680125952 1695469568 1758387384 1782809431 1785133824 1795203072 1799430144 1820136448 1887680574 1907403264 1923705856 1933894976 1949382656 2036865024 2047653504 2064052224 2065154816 2164169088 2175631848 2193055488 2194226992 2206603776 2323299168 2344516512 2347573248 2380178432 2468505366 2516907432 2520188928 2543204352 2677700736 2699145216 2715820032 2730204672 2885558784 2900842464 2924073984 2942138368 3097732224 3126022016 3291340488 3309905664 3355876576 3360251904 3390939136 3516774768 3565618862 3570267648 3640272896 3775361148 3814806528 3847411712 3867789952 3898765312 4073730048 4095307008 4128104448 4130309632 4328338176 4351263696 4386110976 4388453984 4413207552 4646598336 4689033024 4760356864 4937010732 5033814864 5040377856 5086408704 5348428293 5355401472 5398290432 5460409344 5771117568 5801684928 5848147968 5884276736 6195464448 6252044032 6582680976 6619811328 6711753152 7033549536 7131237724 7140535296 7280545792 7550722296 7629613056 7694823424 7735579904 7797530624 8147460096 8190614016 8260619264 8656676352 8702527392 8772221952 8776907968 8826415104 9293196672 9378066048 9520713728 9874021464 10067629728 10080755712 10172817408 10696856586 10710802944 10920818688 11542235136 11603369856 11696295936 11768553472 12390928896 12504088064 13165361952 13239622656 13423506304 14067099072 14262475448 14281070592 14561091584 15101444592 15259226112 15389646848 15471159808 16045284879 16381228032 16521238528 17313352704 17405054784 17544443904 17553815936 17652830208 18586393344 18756132096 19041427456 19748042928 20135259456 21393713172 21421605888 21841637376 23084470272 23206739712 23392591872 24781857792 25008176128 26330723904 26479245312 26847012608 28134198144 28524950896 28562141184 30202889184 30518452224 30942319616 32090569758 32762456064 33042477056 34626705408 34810109568 35088887808 35107631872 35305660416 37172786688 37512264192 39496085856 40270518912 42787426344 42843211776 43683274752 46168940544 46413479424 49563715584 50016352256 52661447808 52958490624 53694025216 56268396288 57049901792 57124282368 60405778368 61884639232 64181139516 65524912128 66084954112 69253410816 69620219136 70177775616 70215263744 74345573376 75024528384 78992171712 80541037824 85574852688 85686423552 92826958848 99127431168 100032704512 105322895616 105916981248 107388050432 112536792576 114099803584 120811556736 123769278464 128362279032 131049824256 138506821632 139240438272 140430527488 148691146752 150049056768 157984343424 161082075648 171149705376 171372847104 185653917696 198254862336 200065409024 210645791232 214776100864 225073585152 228199607168 241623113472 247538556928 256724558064 278480876544 280861054976 297382293504 300098113536 315968686848 322164151296 342299410752 371307835392 421291582464 429552201728 450147170304 456399214336 483246226944 513449116128 556961753088 561722109952 594764587008 600196227072 631937373696 644328302592 684598821504 742615670784 842583164928 859104403456 900294340608 912798428672 966492453888 1026898232256 1113923506176 1123444219904 1263874747392 1288656605184 1369197643008 1685166329856 1800588681216 1825596857344 1932984907776 2053796464512 2227847012352 2527749494784 2577313210368 2738395286016 3370332659712 3651193714688 3865969815552 4107592929024 5055498989568 5476790572032 7302387429376 7731939631104 8215185858048 10110997979136 10953581144064 14604774858752 16430371716096 21907162288128 32860743432192 43814324576256 65721486864384 131442973728768
- Sum of all divisors σ(n): 446570346156480
- Sum of proper divisors (its aliquot sum) s(n): 315127372427712
- 131442973728768 is an abundant number, because the sum of its proper divisors (315127372427712) is greater than itself. Its abundance is 183684398698944
Bases of 131442973728768
- Binary: 111011110001011111100111100000111100000000000002
- Hexadecimal: 0x778BF3C1E000
- Base-36: 1ALC2GSU80
Squares and roots of 131442973728768
- 131442973728768 squared (1314429737287682) is 17277255342661594625630797824
- 131442973728768 cubed (1314429737287683) is 2270973820110684552074539058480196020600832
-
The
square root of 131442973728768 is 11464858.2079661151 -
The
cube root of 131442973728768 is 50844.7120309337
Scales and comparisons
How big is 131442973728768?- 131,442,973,728,768 seconds is equal to 4,179,479 years, 51 weeks, 1 day, 10 hours, 52 minutes, 48 seconds.
-
To count from 1 to 131,442,973,728,768 would take you about ten million, four hundred forty-eight thousand, six hundred ninety-nine 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 131442973728768 cubic inches would be around 4237.1 feet tall.
Recreational maths with 131442973728768
- 131442973728768 backwards is 867827379244131
- 131442973728768 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131442973728768's digits is 72
- More coming soon!
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"Number 131442973728768 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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The information we have on file for 131442973728768 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!
Keywords: Divisors of 131442973728768, math, Factors of 131442973728768, curriculum, school, college, exams, university, Prime factorization of 131442973728768, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one trillion, four hundred forty-two billion, nine hundred seventy-three million, seven hundred twenty-eight thousand, seven hundred sixty-eight.