131397975862431201
131,397,975,862,431,201 is an odd composite number composed of six prime numbers multiplied together.
What does the number 131397975862431201 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
131397975862431201 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 131397975862431201:
35 × 72 × 112 × 31 × 373 × 2412
(3 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 11 × 31 × 37 × 37 × 37 × 241 × 241)See below for interesting mathematical facts about the number 131397975862431201 from the Numbermatics database.
Names of 131397975862431201
- Cardinal: 131397975862431201 can be written as One hundred thirty-one quadrillion, three hundred ninety-seven trillion, nine hundred seventy-five billion, eight hundred sixty-two million, four hundred thirty-one thousand, two hundred one.
Scientific notation
- Scientific notation: 1.31397975862431201 × 1017
Factors of 131397975862431201
Divisors of 131397975862431201
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 3 7 9 11 21 27 31 33 37 49 63 77 81 93 99 111 121 147 189 217 231 241 243 259 279 297 333 341 363 407 441 539 567 651 693 723 777 837 847 891 999 1023 1089 1147 1221 1323 1369 1519 1617 1687 1701 1813 1953 2079 2169 2331 2387 2511 2541 2651 2673 2849 2997 3069 3267 3441 3663 3751 3969 4107 4477 4557 4851 5061 5439 5859 5929 6237 6507 6993 7161 7471 7533 7623 7953 8029 8547 8917 8991 9207 9583 9801 10323 10989 11253 11809 11907 12321 12617 13431 13671 14553 15059 15183 16317 16709 17577 17787 18557 18711 19521 19943 20979 21483 22413 22869 23859 24087 25641 26257 26751 27621 28749 29161 29403 30969 31339 32967 33759 35427 36963 37851 40293 41013 42439 43659 45177 45549 48951 50127 50653 52297 52731 53361 55671 56203 58081 58563 59829 62419 62937 64449 67081 67239 68607 71577 72261 76923 78771 80253 82181 82863 86247 87483 88319 92907 94017 98087 98901 101277 105413 106281 110889 113553 120879 123039 127317 129899 130977 135531 136647 138787 146853 150381 151959 156891 160083 165649 167013 168609 174243 179487 183799 187257 193347 201243 201717 204127 205821 214731 216783 219373 230769 236313 240759 246543 258741 262449 264957 276427 278721 282051 294261 297073 303831 316239 318843 329929 332667 340659 354571 362637 366079 369117 381951 389697 406567 406593 409941 416361 436933 440559 451143 455877 466829 470673 480249 496947 501039 505827 522729 538461 551397 557183 561771 575267 580041 603729 605151 612381 618233 638891 644193 650349 658119 686609 692307 708939 722277 737891 739629 776223 787347 794871 829281 846153 882783 891219 903991 911493 948717 956529 971509 989787 1021977 1063713 1078957 1087911 1098237 1145853 1159543 1169091 1219701 1219779 1249083 1310799 1353429 1367631 1400487 1412019 1428889 1440747 1490841 1503117 1517481 1568187 1570243 1615383 1654191 1671549 1685313 1725801 1800511 1811187 1815453 1837143 1854699 1916673 1934989 1951047 1974357 2059827 2079511 2126817 2148997 2166831 2213673 2218887 2309503 2328669 2362041 2384613 2481997 2487843 2538459 2648349 2673657 2711973 2845969 2846151 2869587 2914527 2969361 3040697 3065931 3191139 3236871 3267803 3294711 3437559 3478629 3507273 3629219 3659103 3659337 3747249 3900281 3932397 4026869 4060287 4102893 4201461 4236057 4286667 4472237 4472523 4509351 4552443 4704561 4710729 4806263 4846149 4962573 5014647 5055939 5135119 5177403 5401533 5433561 5511429 5564097 5750019 5804967 5923071 6129013 6179481 6238533 6327937 6380451 6446991 6641019 6656661 6800563 6928509 7027801 7086123 7153839 7445991 7463529 7552699 7615377 7945047 8020971 8116801 8135919 8537907 8538453 8743581 8908083 9122091 9573417 9710613 9803409 9884133 10227799 10312677 10435887 10521819 10887657 10977309 10991701 11241747 11700843 11797191 12080607 12207373 12308679 12603577 12604383 12708171 12860001 13416711 13417569 13544923 13657329 14113683 14132187 14418789 14887719 15042979 15043941 15167817 15405357 15532209 16166521 16204599 16300683 16534287 16692291 17250057 17272673 17414901 17769213 18387039 18538443 18715599 18983811 19340973 19805621 19923057 19969983 20401689 20785527 21083403 21284879 21461517 22337973 22390587 22658097 22874621 23638967 23835141 24062913 24350403 24407757 25404533 25613721 25615359 26230743 26724249 27301967 27366273 28720251 29131839 29410227 29652399 30683397 31305659 31307661 31565457 32662971 32931927 32975103 33447667 33725241 35102529 35391573 35945833 36241821 36622119 37810731 37813149 38580003 39921409 40250133 40252707 40634769 42396561 42903091 43256367 44295559 44663157 45128937 45131823 46216071 46596627 48499563 48613797 49194607 49602861 50076873 51750171 51818019 52244703 52868893 53307639 55161117 55615329 56146797 56951433 58022919 59416863 59769171 61205067 62356581 63250209 63854637 66618907 67013919 67171761 67974291 68623863 70916901 71594593 72188739 73051209 73223271 76213599 76841163 76941907 78692229 79512889 80172747 81905901 82098819 85451611 86160753 87395517 88225039 88230681 88957197 92050191 93916977 93922983 97988913 98795781 98925309 100343001 105300853 105307587 106174719 107837499 108725463 109866357 112505789 113432193 113439447 115740009 119764227 120750399 120908711 121904307 127189683 128709273 129769101 132886677 134281103 135386811 135395469 138639347 138648213 139789881 145498689 145841391 147583821 148994153 150230619 155250513 155454057 156734109 158606679 165472769 165483351 166845987 168440391 170854299 174068757 177831731 178250589 179307513 183615201 187069743 189750627 189999403 191563911 199856721 201041757 203922873 205871589 212750703 214783779 217861831 219153627 219669813 228640797 230523489 230825721 234133669 236076687 238538667 245717703 246296457 251620831 256354833 260028637 262186551 264675117 264692043 276150573 279449863 281750931 281768949 293966739 296775927 300321637 301029003 315902559 315922761 323512497 326176389 329599071 337517367 340296579 344362249 347220027 359292681 362251197 362726133 365712921 378428563 381569049 386127819 389307303 398660031 402843309 406160433 415918041 415944639 436496067 437524173 442751463 446982459 466332349 466362171 470202327 475820037 496418307 496450053 501162151 505321173 512562897 522206271 533495193 534751767 550845603 556590223 561209229 569251881 569998209 574691733 598161277 599570163 603125271 611768619 617614767 638252109 644351337 653585493 657460881 685922391 691570467 692477163 702401007 715616001 732807977 737153109 738889371 754862493 769064499 780085911 787540523 794025351 794076129 828451719 838349589 845252793 846360977 874641779 881900217 890327781 900964911 903087009 939967721 947707677 947768283 970475429 970537491 978529167 988797213 1012552101 1020889737 1033086747 1077878043 1086753591 1088178399 1097138763 1135285689 1158309383 1158383457 1167921909 1195980093 1208529927 1218481299 1237563679 1247754123 1247833917 1309488201 1328254389 1329995821 1340947377 1398997047 1399086513 1427460111 1477092133 1489254921 1489350159 1503486453 1525032817 1537688691 1600485579 1604255301 1638935683 1652536809 1669770669 1707755643 1709994627 1724075199 1794483831 1798710489 1820200459 1835305857 1852844301 1914756327 1933054011 1956149041 1960756479 1972382643 2057767173 2077431489 2107203021 2146848003 2198423931 2211459327 2264587479 2307193497 2340257733 2362621569 2382076053 2464899559 2485355157 2515048767 2535758379 2539082931 2623925337 2648999941 2670983343 2702894733 2709261027 2819903163 2843123031 2911426287 2911612473 2941976893 2966391639 3037656303 3062669211 3099260241 3233634129 3264326443 3264535197 3291416289 3405857067 3474928149 3475150371 3587940279 3625589781 3655443897 3712691037 3743262369 3896131561 3928464603 3984763167 3989987463 4022842131 4162714193 4196991141 4197259539 4282380333 4431276399 4467764763 4510459359 4575098451 4801456737 4812765903 4916807049 5009312007 5129655839 5129983881 5172225597 5383451493 5396131467 5460601377 5512783661 5558532903 5744268981 5799162033 5868447123 5882269437 6122492453 6173301519 6232294467 6321609063 6440544009 6579774047 6595271793 6634377981 6793762437 6921580491 7020773199 7087864707 7146228159 7394698677 7545146301 7607275137 7617248793 7871776011 7946999823 8060887747 8108684199 8127783081 8459709489 8529369093 8662945753 8734278861 8734837419 8825930679 9112968909 9297780723 9309970747 9621059569 9700902387 9792979329 9793605591 10217571201 10339644931 10424784447 10425451113 10675229719 10763820837 10876769343 11138073111 11229787107 11688394683 11954289501 11969962389 12068526393 12488142579 12590973423 12741403213 12847140999 13293829197 13403294289 13531378077 13725295353 14404370211 14750421147 15027936021 15388967517 15389951643 16150354479 16188394401 16381804131 16538350983 17254296913 17397486099 17605341369 17646808311 18367477359 18542999587 18696883401 18964827189 19321632027 19739322141 19785815379 20381287311 20593838251 20764741473 21062319597 21263594121 21438684477 22184096031 22635438903 22851746379 23615328033 23840999469 24182663241 24326052597 25379128467 25588107279 25988837259 26202836583 26477792037 27113895149 27338906727 27893342169 27929912241 28863178707 29138999351 29378937987 29380816773 30652713603 31018934793 31274353341 32025689157 32361745823 32630308029 33414219333 33689361321 35065184049 35907590873 35909887167 36205579179 37464427737 37772920269 38224209639 39881487591 40209882867 40594134231 41175886059 42857447171 43213110633 44251263441 45083808063 45789856123 46166902551 46169854929 48451063437 49145412393 49615052949 51762890739 52816024107 52940424933 55102432077 55628998761 56426214229 56894481567 59217966423 59357446137 60640620271 61143861933 61781514753 63186958791 63790782363 66552288093 67347416983 67906316709 68555239137 70845984099 71522998407 72377514517 72547989723 72978157791 76137385401 77966511777 78608509749 79433376111 81341685447 83680026507 83789736723 86589536121 87416998053 88136813961 91201283683 91958140809 93056804379 93823060023 96077067471 97085237469 100242657999 105195552147 107722772619 107729661501 112393283211 113318760807 114672628917 119644462773 120780078391 121782402693 123527658177 128572341513 132753790323 135251424189 137369568369 138500707653 144156867757 145353190311 147436237179 148845158847 155288672217 158448072321 165307296231 166886996283 169278642687 177653899269 178072338411 181921860813 185344544259 189797266043 191372347089 199656864279 202042250949 203972995457 205665717411 212537952297 214568995221 217132543551 217643969169 226532220761 228412156203 233899535331 235825529247 238300128333 244025056341 251369210169 259768608363 262250994159 264410441883 273603851049 279170413137 281469180069 288231202413 291255712407 298252846639 300727973997 315586656441 320528992861 323168317857 323188984503 337179849633 344017886751 355979204053 358933388319 362340235173 370582974531 385717024539 394983499603 398261370969 412108705107 415502122959 432470603271 442308711537 446535476541 465866016651 471431918881 475344216963 495921888693 500660988849 507835928061 532961697807 545765582439 556033632777 569391798129 598970592837 606126752847 611918986371 638408985781 643706985663 651397630653 652931907507 679596662283 701698605993 714900384999 732075169023 754107630507 779305825089 786752982477 793231325649 820811553147 837511239411 864693607239 873767137221 894758539917 946759969323 961586978583 969504953571 1003214120513 1011539548899 1032053660253 1067937612159 1087020705519 1157151073617 1184950498809 1236326115321 1246506368877 1297411809813 1328580862301 1339606429623 1397598049953 1414295756643 1487765666079 1501982966547 1523507784183 1585725545327 1598885093421 1637296747317 1668100898331 1708175394387 1818380258541 1835756959113 1915226957343 1954192891959 1958795722521 2038789986849 2087769926473 2105095817979 2196225507069 2243702950027 2262322891521 2337917475267 2360258947431 2462434659441 2491854428371 2512533718233 2594080821717 2621301411663 2684275619751 2884760935749 2908514860713 3009642361539 3096160980759 3203812836477 3261062116557 3471453220851 3554851496427 3708978345963 3892235429439 3985742586903 4192794149859 4242887269929 4468862900467 4505948899641 4570523352549 4757176635981 4911890241951 5004302694993 5124526183161 5455140775623 5507270877339 5745680872029 5862578675877 6116369960547 6263309779419 6588676521207 6731108850081 7022498843591 7080776842293 7387303978323 7475563285113 7863904234989 8052826859253 8654282807247 8725544582139 9028927084617 9611438509431 9783186349671 10414359662553 10664554489281 11035355325643 11126935037889 11676706288317 11957227760709 12728661809787 13406588701401 13711570057647 14271529907943 14614389485311 14735670725853 15373578549483 16365422326869 16521812632017 17237042616087 17442980998597 17587736027631 18349109881641 18789929338257 20193326550243 21067496530773 22161911934969 22426689855339 24158480577759 25962848421741 27086781253851 28834315528293 29349559049013 31993663467843 33106065976929 35030118864951 35871683282127 38185985429361 40219766104203 42814589723829 43843168455933 46120735648449 49157491905137 49565437896051 51711127848261 52328942995791 55047329644923 56369788014771 60579979650729 63202489592319 67280069566017 72475441733277 77247487279501 77888545265223 81260343761553 86502946584879 95980990403529 99318197930787 107615049846381 114557956288083 120659298312609 128443769171487 131529505367799 147472475715411 155133383544783 156986828987373 169109364044313 181739938952187 189607468776957 201840208698051 231742461838503 243781031284659 297954593792361 322845149539143 361977894937827 385331307514461 394588516103397 442417427146233 470960486962119 507328092132939 540732410956507 545219816856561 568822406330871 605520626094153 695227385515509 893863781377083 1085933684813481 1183765548310191 1327252281438699 1412881460886357 1622197232869521 1706467218992613 2085682156546527 2681591344131249 3551296644930573 3981756844316097 4238644382659071 4866591698608563 6257046469639581 11945270532948291 14599775095825689 18771139408918743 43799325287477067 131397975862431201
- Sum of all divisors σ(n): 268115472652285440
- Sum of proper divisors (its aliquot sum) s(n): 136717496789854239
- 131397975862431201 is an abundant number, because the sum of its proper divisors (136717496789854239) is greater than itself. Its abundance is 5319520927423038
Bases of 131397975862431201
- Binary: 1110100101101000111000011010010110111110001001101111000012
- Hexadecimal: 0x1D2D1C34B7C4DE1
- Base-36: ZXSP0S9AH29
Squares and roots of 131397975862431201
- 131397975862431201 squared (1313979758624312012) is 17265428060744052520223526458302401
- 131397975862431201 cubed (1313979758624312013) is 2268642299580189352657612092603310140926991115613601
-
The
square root of 131397975862431201 is 362488587.2167994215 -
The
cube root of 131397975862431201 is 508389.0935057975
Scales and comparisons
How big is 131397975862431201?- 131,397,975,862,431,201 seconds is equal to 4,178,049,191 years, 41 weeks, 4 days, 4 hours, 13 minutes, 21 seconds.
-
To count from 1 to 131,397,975,862,431,201 would take you about twelve billion, five hundred thirty-four million, one hundred forty-seven thousand, five hundred seventy-five 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 131397975862431201 cubic inches would be around 42365.8 feet tall.
Recreational maths with 131397975862431201
- 131397975862431201 backwards is 102134268579793131
- The number of decimal digits it has is: 18
- The sum of 131397975862431201's digits is 72
- More coming soon!
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"Number 131397975862431201 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 131397975862431201 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/131397975862431201/
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The information we have on file for 131397975862431201 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 131397975862431201, math, Factors of 131397975862431201, curriculum, school, college, exams, university, Prime factorization of 131397975862431201, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one quadrillion, three hundred ninety-seven trillion, nine hundred seventy-five billion, eight hundred sixty-two million, four hundred thirty-one thousand, two hundred one.