131972880166078770
131,972,880,166,078,770 is an even composite number composed of seven prime numbers multiplied together.
What does the number 131972880166078770 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
131972880166078770 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 131972880166078770:
2 × 35 × 5 × 7 × 133 × 37 × 4573
(2 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 13 × 13 × 37 × 457 × 457 × 457)See below for interesting mathematical facts about the number 131972880166078770 from the Numbermatics database.
Names of 131972880166078770
- Cardinal: 131972880166078770 can be written as One hundred thirty-one quadrillion, nine hundred seventy-two trillion, eight hundred eighty billion, one hundred sixty-six million, seventy-eight thousand, seven hundred seventy.
Scientific notation
- Scientific notation: 1.3197288016607877 × 1017
Factors of 131972880166078770
Divisors of 131972880166078770
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 37 39 42 45 54 63 65 70 74 78 81 90 91 105 111 117 126 130 135 162 169 182 185 189 195 210 222 234 243 259 270 273 315 333 338 351 370 378 390 405 455 457 481 486 507 518 546 555 567 585 630 666 702 777 810 819 845 910 914 945 962 999 1014 1053 1110 1134 1170 1183 1215 1295 1365 1371 1443 1521 1554 1638 1665 1690 1701 1755 1890 1998 2106 2197 2285 2331 2366 2405 2430 2457 2535 2590 2730 2742 2835 2886 2997 3042 3159 3199 3330 3367 3402 3510 3549 3885 4095 4113 4329 4394 4563 4570 4662 4810 4914 4995 5070 5265 5670 5915 5941 5994 6253 6318 6398 6591 6734 6855 6993 7098 7215 7371 7605 7770 8190 8226 8505 8658 8991 9126 9597 9990 10101 10530 10647 10985 11655 11830 11882 12285 12339 12506 12987 13182 13689 13710 13986 14430 14742 14985 15210 15379 15795 15995 16835 16909 17010 17745 17823 17982 18759 19194 19773 20202 20565 20979 21294 21645 21970 22113 22815 23310 24570 24678 25974 27378 28791 29705 29970 30303 30758 31265 31590 31941 31990 32955 33670 33818 34965 35490 35646 36855 37017 37518 38961 39546 41067 41130 41587 41958 43290 43771 44226 44955 45630 46137 47985 50505 50727 53235 53469 56277 57582 59319 59410 60606 61695 62530 62937 63882 64935 65910 68445 69930 73710 74034 76895 77233 77922 81289 82134 83174 84545 86373 87542 89115 89910 90909 92274 93795 95823 95970 98865 101010 101454 104895 106470 106938 110565 111051 112554 116883 118363 118638 123390 124761 125874 129870 131313 136890 138411 143955 151515 152181 153790 154466 159705 160407 162578 168831 169090 172746 177957 178230 181818 185085 187590 191646 194805 197730 205335 207935 208849 209790 218855 219817 221130 222102 230685 231699 233766 236726 243867 249522 253635 259119 262626 267345 272727 276822 281385 287469 287910 296595 303030 304362 314685 319410 320814 337662 355089 355914 370170 374283 386165 389610 393939 406445 410670 415233 415870 417698 431865 437710 439634 454545 456543 461370 463398 479115 481221 487734 506493 507270 518238 533871 534690 540631 545454 555255 562770 569023 574938 584415 591815 593190 623805 626547 629370 656565 659451 692055 695097 710178 731601 748566 760905 772330 777357 787878 802035 812890 818181 830466 844155 863730 889785 909090 913086 958230 962442 1004029 1012986 1044245 1065267 1067742 1081262 1099085 1110510 1122849 1138046 1158495 1168830 1181817 1183630 1219335 1245699 1247610 1253094 1295595 1313130 1318902 1363635 1369629 1384110 1390194 1437345 1443663 1461943 1463202 1519479 1521810 1538719 1554714 1604070 1621893 1636362 1688310 1707069 1775445 1779570 1871415 1879641 1969695 1978353 2008058 2076165 2085291 2088490 2130534 2194803 2198170 2245698 2282715 2316990 2363634 2406105 2438670 2491398 2532465 2591190 2669355 2703155 2715037 2727270 2739258 2845115 2857621 2874690 2887326 2923886 3012087 3038958 3077438 3132735 3195801 3243786 3297255 3368547 3414138 3475485 3545451 3550890 3658005 3737097 3742830 3759282 3886785 3939390 3956706 4090905 4108887 4152330 4170582 4385829 4389606 4565430 4616157 4812210 4865679 5020145 5064930 5121207 5326335 5338710 5406310 5430074 5614245 5638923 5690230 5715242 5909085 5935059 6024174 6228495 6255873 6265470 6391602 6584409 6594510 6737094 6848145 6950970 7028203 7090902 7218315 7309715 7316010 7474194 7597395 7693595 7727413 7773570 8109465 8145111 8181810 8217774 8535345 8572863 8771658 9036261 9232314 9398205 9587403 9731358 9891765 10040290 10105641 10242414 10426455 10636353 10652670 10974015 11228490 11277846 11818170 11870118 12456990 12511746 13157487 13168818 13575185 13696290 13848471 14056406 14288105 14436630 14597037 14619430 15060435 15194790 15363621 15387190 15454826 15979005 16218930 16290222 16842735 16916769 17070690 17145726 17727255 17805177 18072522 18685485 18767619 18796410 19005259 19174806 19753227 19783530 20003347 20211282 20544435 20852910 21084609 21272706 21929145 21948030 23080785 23182239 24328395 24435333 25606035 25718589 26314974 27108783 27150370 27696942 28194615 28576210 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14042349594 14294669805 14604810570 15045374565 15394259790 15461926866 16059443855 16130034817 16202711070 16273931778 16977126361 17078533290 17153603766 17370806726 17657138705 18038914677 18054449478 18283059158 18611578635 18777613590 18986253741 19271332626 19588991955 20012537727 20043238530 20647856385 21063524391 21095837490 21188566446 21907215855 22236153030 22333894362 23091389685 23192890299 23403915990 23506790346 24304066605 24410897667 24719994187 24777427662 25769878110 26056210089 26288659026 27123219630 27424588737 28589339610 28906998939 30064857795 30090749130 31643756235 31782849669 32118887710 32260069634 33354229545 33500841543 33954252722 35105873985 35260185519 35314277410 36077829354 37166141493 37223157270 37972507482 38654817165 39177983910 40025075454 40684829445 41295712770 42127048782 42884009415 43427016815 43814431710 45136123695 45707647895 45908560633 46182779370 46385780598 48178331565 48390104451 48608133210 48821795334 49439988374 50931379083 52112420178 52971416115 54116744031 54849177474 55834735905 56958761223 57813997878 58766975865 60037613181 60129715590 61943569155 63190573173 63287512470 63565699338 65721647565 66708459090 67001683086 70211747970 70520371038 74159982561 74332282986 77309634330 78168630267 80650174085 81369658890 82273766211 84885631805 85768018830 86720996817 86854033630 90194573385 90272247390 91415295790 91817121266 94931268705 95348549007 96356663130 96780208902 100062688635 100502524629 101862758166 105317621955 105780556557 105942832230 108233488062 111498424479 111669471810 112910243719 113917522446 115964451495 117533951730 118839884527 120075226362 122054488335 123599970935 123887138310 126381146346 130281050445 131443295130 137122943685 137725681899 144534994695 145170313353 148319965122 152794137249 156337260534 158914248345 161300348170 162350232093 164547532422 167504207715 169771263610 170876283669 173441993634 176300927595 180389146770 185830707465 189862537410 190697098014 200125377270 201005049258 209690452621 210635243910 211561113114 222479947683 222996848958 225820487438 229542803165 231928902990 234505890801 237679769054 241950522255 244108976670 246821298633 247199941870 254656895415 260162990451 260562100890 270583720155 274245887370 275451363798 284793806115 286045647021 289069989390 290340626706 300188065905 301507573887 305588274498 315952865865 317341669671 317828496690 321359924431 324700464186 335008415430 338730731157 341752567338 352601855190 356519653581 370799912805 371661414930 390843151335 411368831055 413177045697 419380905242 433604984085 435510940059 444959895366 458382411747 459085606330 469011781602 476742745035 483901044510 493642597266 502512623145 509313790830 520325980902 528902782785 541167440310 557492122395 564551218595 569587612230 572091294042 594199422635 596811288229 600376131810 603015147774 629071357863 631905731730 634683339342 642719848862 667439843049 677461462314 688628409495 703517672403 713039307162 725851566765 740463895899 741599825610 763970686245 780488971353 781686302670 811751160465 822737662110 826354091394 854381418345 858136941063 867209968170 871021880118 916764823494 953485490070 964079773293 1005025246290 1016192193471 1048452263105 1057805565570 1069558960743 1112399738415 1114984244790 1129102437190 1172529454005 1188398845270 1193622576458 1234106493165 1239531137091 1258142715726 1300814952255 1306532820177 1334879686098 1375147235241 1377256818990 1407035344806 1430228235105 1451703133530 1467833168347 1480927791798 1507537869435 1527941372490 1560977942706 1586708348355 1606799622155 1623502320930 1693653655785 1708762836690 1716273882126 1782598267905 1790433864687 1887214073589 1928159546586 2002319529147 2032384386942 2065885228485 2096904526210 2110553017209 2139117921486 2177554700295 2221391687697 2224799476830 2291912058735 2345058908010 2468212986330 2479062274182 2601629904510 2613065640354 2750294470482 2860456470210 2892239319879 2935666336694 2984056441145 3015075738870 3048576580413 3145356789315 3173416696710 3208676882229 3213599244310 3337199215245 3387307311570 3517588362015 3565196535810 3580867729374 3702319479495 3718593411273 3774428147178 3902444856765 3919598460531 4004639058294 4125441705723 4131770456970 4177679017603 4221106034418 4290684705315 4355109400590 4403499505041 4442783375394 4583824117470 4820398866465 5080960967355 5347794803715 5371301594061 5661642220767 5784478639758 5968112882290 6006958587441 6097153160826 6197655685455 6290713578630 6417353764458 6532664100885 6674398430490 6875736176205 7035176724030 7339165841735 7404638958990 7437186822546 7758546746977 7804889713530 7839196921062 8250883411446 8355358035206 8581369410630 8676717959637 8806999010082 8952169323435 9145729741239 9436070367945 9626030646687 9640797732930 10011597645735 10161921934710 10552765086045 10695589607430 10742603188122 11106958438485 11155780233819 11323284441534 12013917174882 12395311370910 12533037052809 13065328201770 13210498515123 13751472352410 14461196599395 14678331683470 15242882902065 15517093493954 16043384411145 16113904782183 16984926662301 17353435919274 17904338646870 18291459482478 18592967056365 18872140735890 19252061293374 19597992302655 20023195291470 20627208528615 20888395088015 21105530172090 22017497525205 22213916876970 22311560467638 23275640240931 25066074105618 26030153878911 26420997030246 26856507970305 27437189223717 28308211103835 28878091940061 28922393198790 30034792937205 30485765804130 32086768822290 32227809564366 33969853324602 37185934112730 37599111158427 38792733734885 39195984605310 39631495545369 41254417057230 41776790176030 43383589798185 44034995050410 45728648706195 46551280481862 48130153233435 48341714346549 50954779986903 52060307757822 53713015940610 54309827228839 54874378447434 55778901169095 56616422207670 57756183880122 60069585874410 62665185264045 66052492575615 69826920722793 75198222316854 77585467469770 78090461636733 79262991090738 80569523910915 84924633311505 86767179596370 91457297412390 96260306466870 96683428693098 101909559973806 108619654457678 111557802338190 112797333475281 116378201204655 118894486636107 125330370528090 130150769394555 132104985151230 137185946118585 139653841445586 144390459700305 145025143039647 156180923273466 161139047821830 162929481686517 169849266623010 187995555792135 198157477726845 209480762168379 225594666950562 232756402409310 237788973272214 241708571732745 254773899934515 260301538789110 271549136144195 274371892237170 288780919400610 290050286079294 325858963373034 338392000425843 349134603613965 356683459908321 375991111584270 390452308183665 396314955453690 418961524336758 483417143465490 488788445059551 509547799869030 543098272288390 563986667376405 594472433180535 628442286505137 676784000851686 698269207227930 713366919816642 725125715198235 780904616367330 814647408432585 977576890119102 1015176001277529 1047403810841895 1127973334752810 1188944866361070 1256884573010274 1450251430396470 1466365335178653 1629294816865170 1691960002129215 1783417299541605 1885326859515411 2030352002555058 2094807621683790 2443942225297755 2932730670357306 3142211432525685 3383920004258430 3566834599083210 3770653719030822 4399096005535959 4887884450595510 5075880006387645 6284422865051370 7331826675893265 8798192011071918 9426634297577055 10151760012775290 13197288016607877 14663653351786530 18853268595154110 21995480027679795 26394576033215754 43990960055359590 65986440083039385 131972880166078770
- Sum of all divisors σ(n): 453444759436032000
- Sum of proper divisors (its aliquot sum) s(n): 321471879269953230
- 131972880166078770 is an abundant number, because the sum of its proper divisors (321471879269953230) is greater than itself. Its abundance is 189498999103874460
Bases of 131972880166078770
- Binary: 1110101001101110010100010101000100100100011001001001100102
- Hexadecimal: 0x1D4DCA2A248C932
- Base-36: 103GHC6C3D4I
Squares and roots of 131972880166078770
- 131972880166078770 squared (1319728801660787702) is 17416841099330187195097357844712900
- 131972880166078770 cubed (1319728801660787703) is 2298550683273538422138325508388873407251769435133000
-
The
square root of 131972880166078770 is 363280718.1314179933 -
The
cube root of 131972880166078770 is 509129.4647487039
Scales and comparisons
How big is 131972880166078770?- 131,972,880,166,078,770 seconds is equal to 4,196,329,370 years, 18 weeks, 5 days, 2 hours, 19 minutes, 30 seconds.
-
To count from 1 to 131,972,880,166,078,770 would take you about twelve billion, five hundred eighty-eight million, nine hundred eighty-eight thousand, one hundred eleven 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 131972880166078770 cubic inches would be around 42427.5 feet tall.
Recreational maths with 131972880166078770
- 131972880166078770 backwards is 077870661088279131
- 131972880166078770 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 131972880166078770's digits is 81
- More coming soon!
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"Number 131972880166078770 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 131972880166078770 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/131972880166078770/
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The information we have on file for 131972880166078770 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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