131397120398111318016
131,397,120,398,111,318,016 is an even composite number composed of five prime numbers multiplied together.
What does the number 131397120398111318016 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1680 divisors.
131397120398111318016 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 131397120398111318016:
213 × 3 × 72 × 614 × 1993
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 61 × 61 × 61 × 61 × 199 × 199 × 199)See below for interesting mathematical facts about the number 131397120398111318016 from the Numbermatics database.
Names of 131397120398111318016
- Cardinal: 131397120398111318016 can be written as One hundred thirty-one quintillion, three hundred ninety-seven quadrillion, one hundred twenty trillion, three hundred ninety-eight billion, one hundred eleven million, three hundred eighteen thousand and sixteen.
Scientific notation
- Scientific notation: 1.31397120398111318016 × 1020
Factors of 131397120398111318016
Divisors of 131397120398111318016
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 61 64 84 96 98 112 122 128 147 168 183 192 196 199 224 244 256 294 336 366 384 392 398 427 448 488 512 588 597 672 732 768 784 796 854 896 976 1024 1176 1194 1281 1344 1393 1464 1536 1568 1592 1708 1792 1952 2048 2352 2388 2562 2688 2786 2928 2989 3072 3136 3184 3416 3584 3721 3904 4096 4179 4704 4776 5124 5376 5572 5856 5978 6144 6272 6368 6832 7168 7442 7808 8192 8358 8967 9408 9552 9751 10248 10752 11144 11163 11712 11956 12139 12288 12544 12736 13664 14336 14884 15616 16716 17934 18816 19104 19502 20496 21504 22288 22326 23424 23912 24278 24576 25088 25472 26047 27328 28672 29253 29768 31232 33432 35868 36417 37632 38208 39004 39601 40992 43008 44576 44652 46848 47824 48556 50176 50944 52094 54656 57344 58506 59536 62464 66864 71736 72834 75264 76416 78008 78141 79202 81984 84973 86016 89152 89304 93696 95648 97112 100352 101888 104188 109312 117012 118803 119072 124928 133728 143472 145668 150528 152832 156016 156282 158404 163968 169946 172032 178304 178608 182329 187392 191296 194224 200704 203776 208376 218624 226981 234024 237606 238144 249856 254919 267456 277207 286944 291336 301056 305664 312032 312564 316808 327936 339892 356608 357216 364658 374784 382592 388448 401408 407552 416752 437248 453962 468048 475212 476288 499712 509838 534912 546987 554414 573888 582672 594811 602112 611328 624064 625128 633616 655872 679784 680943 713216 714432 729316 740479 749568 765184 776896 815104 831621 833504 874496 907924 936096 950424 952576 1019676 1069824 1093974 1108828 1147776 1165344 1189622 1204224 1222656 1248128 1250256 1267232 1311744 1359568 1361886 1426432 1428864 1458632 1480958 1499136 1530368 1553792 1588867 1630208 1663242 1667008 1748992 1784433 1815848 1872192 1900848 1905152 1940449 2039352 2139648 2187948 2217656 2221437 2295552 2330688 2379244 2415661 2445312 2496256 2500512 2534464 2623488 2719136 2723772 2852864 2857728 2917264 2961916 3060736 3107584 3177734 3326484 3334016 3497984 3568866 3631696 3744384 3801696 3810304 3880898 4078704 4279296 4375896 4435312 4442874 4591104 4661376 4758488 4766601 4831322 4890624 4992512 5001024 5068928 5183353 5246976 5438272 5447544 5705728 5715456 5821347 5834528 5923832 6121472 6215168 6355468 6652968 6668032 7137732 7246983 7263392 7488768 7603392 7620608 7761796 7880599 8157408 8558592 8751792 8870624 8885748 9182208 9322752 9516976 9533202 9662644 9985024 10002048 10137856 10366706 10493952 10876544 10895088 11122069 11411456 11430912 11642694 11669056 11847664 12242944 12430336 12710936 13305936 13336064 13845841 14275464 14493966 14526784 14977536 15206784 15241216 15523592 15550059 15761198 16314816 16909627 17117184 17503584 17741248 17771496 18364416 18645504 19033952 19066404 19325288 19970048 20004096 20275712 20733412 21753088 21790176 22244138 22861824 23285388 23338112 23641797 23695328 24485888 24860672 25421872 26611872 26672128 27691682 28550928 28987932 29053568 29955072 30413568 30482432 31047184 31100118 31522396 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45979575522272 46057968553044 48240866121728 48323114547456 50084894765332 51844145506944 52548086311168 52637678346336 53734296645218 54393857581056 55226416625664 56376966972032 57239879731808 59149604691968 59250452007936 60054955784192 61410624737392 64430819396608 67714802294784 68969363283408 69125527342592 70183571128448 72361299182592 73635222167552 75127342147998 78822129466752 79000602677248 80601444967827 82698627637248 84565450458048 85859819597712 87648565839331 88724407037952 90082433676288 91959151044544 92115937106088 96481732243456 96646229094912 100169789530664 103688291013888 105096172622336 105275356692672 107468593290436 109113520738759 110452833251328 112753933944064 114479759463616 118500904015872 120109911568384 122821249474784 128861638793216 137938726566816 138251054685184 140367142256896 144722598365184 150254684295996 157644258933504 158001205354496 161202889935654 169130900916096 171719639195424 175297131678662 177448814075904 180164867352576 183918302089088 184231874212176 192963464486912 193292458189824 200339579061328 207376582027776 210192345244672 210550713385344 214937186580872 218227041477518 220905666502656 225507867888128 228959518927232 237001808031744 240219823136768 245642498949568 257723277586432 262945697517993 275877453133632 276502109370368 280734284513792 289445196730368 300509368591992 315288517867008 322405779871308 327340562216277 338261801832192 343439278390848 350594263357324 360329734705152 367836604178176 368463748424352 386584916379648 400679158122656 414753164055552 420384690489344 421101426770688 429874373161744 436454082955036 451015735776256 457919037854464 474003616063488 491284997899136 515446555172864 525891395035986 551754906267264 553004218740736 561468569027584 578890393460736 601018737183984 630577035734016 644811559742616 654681124432554 676523603664384 686878556781696 701188526714648 720659469410304 735673208356352 736927496848704 763794645171313 773169832759296 801358316245312 829506328111104 840769380978688 842202853541376 859748746323488 872908165910072 902031471552512 915838075708928 982569995798272 1051782790071972 1103509812534528 1106008437481472 1122937138055168 1202037474367968 1261154071468032 1289623119485232 1309362248865108 1353047207328768 1373757113563392 1402377053429296 1471346416712704 1473854993697408 1527589290342626 1546339665518592 1602716632490624 1659012656222208 1681538761957376 1684405707082752 1719497492646976 1745816331820144 1804062943105024 1831676151417856 1965139991596544 2103565580143944 2207019625069056 2245874276110336 2291383935513939 2404074948735936 2522308142936064 2579246238970464 2618724497730216 2706094414657536 2747514227126784 2804754106858592 2942692833425408 2947709987394816 3055178580685252 3205433264981248 3318025312444416 3368811414165504 3438994985293952 3491632663640288 3608125886210048 3663352302835712 3930279983193088 4207131160287888 4414039250138112 4491748552220672 4582767871027878 4808149897471872 5044616285872128 5158492477940928 5237448995460432 5346562516199191 5412188829315072 5495028454253568 5609508213717184 5885385666850816 5895419974789632 6110357161370504 6410866529962496 6737622828331008 6877989970587904 6983265327280576 7326704605671424 7860559966386176 8414262320575776 8828078500276224 9165535742055756 9616299794943744 10316984955881856 10474897990920864 10693125032398382 10824377658630144 10990056908507136 11219016427434368 11770771333701632 11790839949579264 12220714322741008 12821733059924992 13475245656662016 13755979941175808 13966530654561152 14653409211342848 15721119932772352 16039687548597573 16828524641151552 17656157000552448 18331071484111512 19232599589887488 20633969911763712 20949795981841728 21386250064796764 21980113817014272 22438032854868736 23581679899158528 24441428645482016 25643466119849984 27511959882351616 27933061309122304 31442239865544704 32079375097195146 33657049282303104 35312314001104896 36662142968223024 38465199179774976 41267939823527424 41899591963683456 42772500129593528 43960227634028544 44876065709737472 47163359798317056 48882857290964032 51286932239699968 55023919764703232 55866122618244608 64158750194390292 67314098564606208 73324285936446048 76930398359549952 82535879647054848 83799183927366912 85545000259187056 89752131419474944 94326719596634112 97765714581928064 102573864479399936 110047839529406464 111732245236489216 128317500388780584 134628197129212416 146648571872892096 153860796719099904 165071759294109696 167598367854733824 171090000518374112 179504262838949888 195531429163856128 220095679058812928 223464490472978432 256635000777561168 269256394258424832 293297143745784192 307721593438199808 330143518588219392 335196735709467648 342180001036748224 359008525677899776 391062858327712256 446928980945956864 513270001555122336 538512788516849664 586594287491568384 660287037176438784 670393471418935296 684360002073496448 718017051355799552 782125716655424512 893857961891913728 1026540003110244672 1077025577033699328 1173188574983136768 1340786942837870592 1368720004146992896 1564251433310849024 2053080006220489344 2154051154067398656 2346377149966273536 2681573885675741184 2737440008293985792 3128502866621698048 4106160012440978688 4692754299932547072 5474880016587971584 6257005733243396096 8212320024881957376 9385508599865094144 10949760033175943168 16424640049763914752 18771017199730188288 21899520066351886336 32849280099527829504 43799040132703772672 65698560199055659008 131397120398111318016
- Sum of all divisors σ(n): 416460021792756408000
- Sum of proper divisors (its aliquot sum) s(n): 285062901394645089984
- 131397120398111318016 is an abundant number, because the sum of its proper divisors (285062901394645089984) is greater than itself. Its abundance is 153665780996533771968
Bases of 131397120398111318016
- Binary: 11100011111100000000101100011010100100011101010100010100000000000002
- Hexadecimal: 0x71F8058D48EA8A000
- Base-36: RQAKNTA2ABHMO
Squares and roots of 131397120398111318016
- 131397120398111318016 squared (1313971203981113180162) is 17265203248915761411905649372436686176256
- 131397120398111318016 cubed (1313971203981113180163) is 2268597989995646993371515137917939091800983177860643444228096
-
The
square root of 131397120398111318016 is 11462858299.6611852043 -
The
cube root of 131397120398111318016 is 5083879.9021717857
Scales and comparisons
How big is 131397120398111318016?- 131,397,120,398,111,318,016 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 131,397,120,398,111,318,016 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 131397120398111318016 cubic inches would be around 423656.7 feet tall.
Recreational maths with 131397120398111318016
- 131397120398111318016 backwards is 610813111893021793131
- The number of decimal digits it has is: 21
- The sum of 131397120398111318016's digits is 69
- More coming soon!
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The information we have on file for 131397120398111318016 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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