131329849581216
131,329,849,581,216 is an even composite number composed of five prime numbers multiplied together.
What does the number 131329849581216 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
131329849581216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 131329849581216:
25 × 33 × 112 × 133 × 833
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 13 × 13 × 13 × 83 × 83 × 83)See below for interesting mathematical facts about the number 131329849581216 from the Numbermatics database.
Names of 131329849581216
- Cardinal: 131329849581216 can be written as One hundred thirty-one trillion, three hundred twenty-nine billion, eight hundred forty-nine million, five hundred eighty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.31329849581216 × 1014
Factors of 131329849581216
Divisors of 131329849581216
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 66 72 78 83 88 96 99 104 108 117 121 132 143 144 156 166 169 176 198 208 216 234 242 249 264 286 288 297 312 332 338 351 352 363 396 416 429 432 468 484 498 507 528 572 594 624 664 676 702 726 747 792 858 864 913 936 968 996 1014 1056 1079 1089 1144 1188 1248 1287 1328 1352 1404 1452 1494 1521 1573 1584 1716 1826 1859 1872 1936 1992 2028 2158 2178 2197 2241 2288 2376 2574 2656 2704 2739 2808 2904 2988 3042 3146 3168 3237 3267 3432 3652 3718 3744 3861 3872 3984 4056 4316 4356 4394 4482 4563 4576 4719 4752 5148 5408 5478 5577 5616 5808 5976 6084 6292 6474 6534 6591 6864 6889 7304 7436 7722 7968 8112 8217 8632 8712 8788 8964 9126 9438 9504 9711 10043 10296 10956 11154 11232 11616 11869 11952 12168 12584 12948 13068 13182 13728 13778 14027 14157 14608 14872 15444 16224 16434 16731 17264 17424 17576 17928 18252 18876 19422 19773 20086 20449 20592 20667 21912 22308 23738 23904 24167 24336 24651 25168 25896 26136 26364 27556 28054 28314 29133 29216 29744 30129 30888 32868 33462 34528 34848 35152 35607 35856 36504 37752 38844 39546 40172 40898 41184 41334 42081 42471 43824 44616 47476 48334 48672 49302 50193 50336 51792 52272 52728 55112 56108 56628 58266 59319 59488 60258 61347 61776 62001 65736 66924 70304 71214 71712 72501 73008 75504 75779 77688 79092 80344 81796 82668 84162 84942 87648 89232 89557 90387 94952 96668 98604 100386 103584 104544 105456 106821 110224 112216 113256 116532 118638 120516 122694 123552 124002 126243 130559 131472 133848 142428 145002 146016 151008 151558 154297 155376 158184 160688 163592 165336 168324 169884 178464 179114 180774 182351 184041 186003 189904 193336 197208 200772 210912 213642 217503 220448 224432 226512 227337 233064 237276 241032 245388 248004 252486 261118 262944 265837 267696 268671 271161 284856 290004 303116 308594 310752 316368 320463 321376 327184 330672 336648 339768 358228 361548 364702 368082 372006 378729 379808 386672 391677 394416 401544 427284 435006 448864 453024 454674 462891 466128 474552 482064 490776 496008 504972 522236 531674 535392 537342 542322 547053 552123 569712 571787 580008 606232 617188 632736 640926 652509 654368 661344 673296 679536 682011 716456 723096 729404 736164 744012 757458 773344 783354 788832 797511 803088 806013 833569 854568 870012 909348 925782 932256 949104 964128 981552 985127 992016 1009944 1044472 1063348 1074684 1084644 1094106 1104246 1139424 1143574 1160016 1164241 1175031 1212464 1234376 1281852 1305018 1346592 1359072 1364022 1388673 1432912 1446192 1458808 1472328 1488024 1514916 1566708 1595022 1606176 1612026 1641159 1667138 1697267 1709136 1715361 1740024 1818696 1851564 1898208 1963104 1970254 1984032 2005861 2019888 2046033 2088944 2126696 2149368 2169288 2188212 2208492 2287148 2320032 2328482 2350062 2392533 2418039 2424928 2468752 2500707 2563704 2610036 2728044 2777346 2865824 2892384 2917616 2944656 2955381 2976048 3029832 3133416 3190044 3224052 3282318 3334276 3394534 3418272 3430722 3480048 3492723 3525093 3637392 3703128 3940508 4011722 4039776 4092066 4166019 4177888 4253392 4298736 4338576 4376424 4416984 4574296 4656964 4700124 4785066 4836078 4923477 4937504 5001414 5091801 5127408 5146083 5220072 5456088 5554692 5835232 5889312 5910762 5952096 6017583 6059664 6266832 6289657 6380088 6448104 6564636 6668552 6789068 6861444 6960096 6985446 7050186 7177599 7274784 7406256 7433231 7502121 7881016 8023444 8184132 8332038 8506784 8597472 8677152 8752848 8833968 8866143 9148592 9313928 9400248 9570132 9672156 9846954 10002828 10183602 10254816 10292166 10440144 10478169 10836397 10912176 11109384 11821524 12035166 12119328 12533664 12579314 12760176 12806651 12896208 13129272 13337104 13578136 13722888 13970892 14100372 14355198 14812512 14866462 15004242 15135133 15275403 15438249 15762032 16046888 16368264 16664076 17505696 17667936 17732286 18052749 18297184 18627856 18800496 18868971 19140264 19344312 19693908 20005656 20367204 20584332 20880288 20956338 21672794 21824352 22064471 22218768 22299693 22506363 23643048 24070332 25158628 25520352 25613302 25792416 26258544 26598429 26674208 27156272 27445776 27941784 28200744 28710396 29732924 30008484 30270266 30550806 30876498 31434507 31524064 32093776 32509191 32736528 33328152 35464572 36105498 37255712 37600992 37737942 38280528 38419953 38688624 39387816 40011312 40734408 41168664 41912676 43345588 44128942 44437536 44599386 45012726 45405399 45826209 47286096 48140664 50317256 51226604 52517088 53196858 54158247 54312544 54891552 55883568 56401488 56606913 57420792 59465848 60016968 60540532 61101612 61752996 62869014 64187552 65018382 65473056 66193413 66656304 66899079 69186227 70929144 72210996 75475884 76561056 76839906 77377248 78775632 80022624 81468816 81765541 82337328 83825352 86691176 88257884 89198772 90025452 90810798 91652418 94572192 96281328 96632003 97527573 100634512 102453208 106393716 108316494 111767136 112802976 113213826 114841584 115259859 118931696 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3269188728 3320938896 3380955864 3478752108 3597683804 3662702186 3688315488 3736056258 3768648117 3803575347 3924745968 3995675112 4251808132 4358918304 4415339214 4495134501 4507941152 4638336144 4681323504 4765925736 4981408344 5024864156 5071433796 5218128162 5327566816 5396525706 5434263648 5494053279 5532473232 5887118952 5993512668 6354567648 6377712198 6422311584 6538377456 6641877792 6761911728 6957504216 7195367608 7325404372 7472112516 7537296234 7607150694 7849491936 7991350224 8094788559 8503616264 8830678428 8990269002 9276672288 9362647008 9531851472 9566568297 9962816688 10049728312 10142867592 10436256324 10793051412 10988106558 11064946464 11305944351 11692472363 11774237904 11987025336 12755424396 13076754912 13523823456 13818376429 13915008432 14390735216 14650808744 14944225032 15074592468 15214301388 15982700448 16189577118 16482159837 17007232528 17661356856 17980538004 19063702944 19133136594 19925633376 20099456624 20285735184 20872512648 21586102824 21976213116 22611888702 23384944726 23548475808 23974050672 24284365677 25510848792 27636752858 27830016864 28699704891 28781470432 29301617488 29888450064 30149184936 30428602776 32379154236 32964319674 33917833053 34014465056 35077417089 35322713712 35961076008 38266273188 40198913248 40571470368 41455129287 41745025296 43172205648 43952426232 45223777404 46769889452 47948101344 48568731354 49446479511 51021697584 55273505716 57399409782 58603234976 59776900128 60298369872 60857205552 64758308472 65928639348 67835666106 70154834178 70645427424 71922152016 76532546376 82910258574 83490050592 86344411296 87904852464 90447554808 93539778904 97137462708 98892959022 102043395168 105232251267 110547011432 114798819564 120596739744 121714411104 124365387861 129516616944 131857278696 135671332212 140309668356 143844304032 152002140719 153065092752 165820517148 175809704928 180895109616 187079557808 194274925416 197785918044 210464502534 221094022864 229597639128 248730775722 259033233888 263714557392 271342664424 280619336712 304004281438 306130185504 315696753801 331641034296 361790219232 373096163583 374159115616 388549850832 395571836088 420929005068 442188045728 456006422157 459195278256 497461551444 527429114784 542685328848 561238673424 608008562876 631393507602 663282068592 746192327166 777099701664 791143672176 841858010136 912012844314 918390556512 994923102888 1085370657696 1122477346848 1216017125752 1262787015204 1326564137184 1368019266471 1492384654332 1582287344352 1683716020272 1824025688628 1989846205776 2432034251504 2525574030408 2736038532942 2984769308664 3367432040544 3648051377256 3979692411552 4104057799413 4864068503008 5051148060816 5472077065884 5969538617328 7296102754512 8208115598826 10102296121632 10944154131768 11939077234656 14592205509024 16416231197652 21888308263536 32832462395304 43776616527072 65664924790608 131329849581216
- Sum of all divisors σ(n): 461665739808000
- Sum of proper divisors (its aliquot sum) s(n): 330335890226784
- 131329849581216 is an abundant number, because the sum of its proper divisors (330335890226784) is greater than itself. Its abundance is 199006040645568
Bases of 131329849581216
- Binary: 111011101110001100111010000100001011110101000002
- Hexadecimal: 0x77719D085EA0
- Base-36: 1AJW3LLRC0
Squares and roots of 131329849581216
- 131329849581216 squared (1313298495812162) is 17247529391024820370580038656
- 131329849581216 cubed (1313298495812163) is 2265115440570891657054282515613690691485696
-
The
square root of 131329849581216 is 11459923.6289434321 -
The
cube root of 131329849581216 is 50830.1216338339
Scales and comparisons
How big is 131329849581216?- 131,329,849,581,216 seconds is equal to 4,175,882 years, 51 weeks, 2 days, 4 hours, 33 minutes, 36 seconds.
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To count from 1 to 131,329,849,581,216 would take you about ten million, four hundred thirty-nine thousand, seven hundred seven 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 131329849581216 cubic inches would be around 4235.8 feet tall.
Recreational maths with 131329849581216
- 131329849581216 backwards is 612185948923131
- The number of decimal digits it has is: 15
- The sum of 131329849581216's digits is 63
- More coming soon!
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The information we have on file for 131329849581216 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 131329849581216, math, Factors of 131329849581216, curriculum, school, college, exams, university, Prime factorization of 131329849581216, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one trillion, three hundred twenty-nine billion, eight hundred forty-nine million, five hundred eighty-one thousand, two hundred sixteen.