137440171120131
137,440,171,120,131 is an odd composite number composed of six prime numbers multiplied together.
137440171120131 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137440171120131:
35 × 113 × 17 × 19 × 312 × 372
(3 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 17 × 19 × 31 × 31 × 37 × 37)See below for interesting mathematical facts about the number 137440171120131 from the Numbermatics database.
Names of 137440171120131
- Cardinal: 137440171120131 can be written as One hundred thirty-seven trillion, four hundred forty billion, one hundred seventy-one million, one hundred twenty thousand, one hundred thirty-one.
Scientific notation
- Scientific notation: 1.37440171120131 × 1014
Factors of 137440171120131
Divisors of 137440171120131
- Number of divisors d(n): 864
-
Complete list of divisors:
1 3 9 11 17 19 27 31 33 37 51 57 81 93 99 111 121 153 171 187 209 243 279 297 323 333 341 363 407 459 513 527 561 589 627 629 703 837 891 961 969 999 1023 1089 1147 1221 1331 1369 1377 1539 1581 1683 1767 1881 1887 2057 2109 2299 2511 2673 2883 2907 2997 3069 3267 3441 3553 3663 3751 3993 4107 4131 4477 4617 4743 5049 5301 5643 5661 5797 6171 6327 6479 6897 6919 7533 7733 8649 8721 8991 9207 9801 10013 10323 10571 10659 10989 11253 11951 11979 12321 12617 13431 14229 15059 15147 15903 16337 16929 16983 17391 18259 18513 18981 19437 19499 20691 20757 21793 22627 23199 23273 25289 25947 26011 26163 27621 29403 30039 30969 31713 31977 32967 33759 35557 35853 35937 36963 37851 39083 40293 41261 42439 42687 45177 45441 47709 49011 49247 50787 50949 52173 54777 55539 56943 58311 58497 62073 62271 63767 65379 67881 69597 69819 71269 75867 76109 77841 78033 78489 82863 85063 90117 92907 95139 95931 98901 101277 106671 107559 107811 110143 110889 113553 116281 117249 120879 123783 127317 128061 131461 135531 138787 143127 147033 147741 152847 156519 164331 165649 166617 170829 174933 175491 179707 186219 186813 191301 196137 200849 203643 208791 209457 213807 214489 227601 228327 233523 234099 239723 255189 256003 270351 278721 285417 286121 287793 303831 310403 320013 322677 323433 330429 332667 340659 348843 351747 362637 370481 371349 381951 391127 394383 406593 416361 429913 441099 442187 443223 466829 469557 492993 496947 499851 524799 526473 539121 558657 560439 573903 588411 602547 604469 610929 626373 628371 641421 643467 675583 682803 684981 701437 702297 719169 721463 765567 768009 783959 806341 811053 837199 856251 858363 863379 911493 931209 935693 960039 968031 991287 1021977 1046529 1055241 1087911 1111443 1114047 1145853 1173381 1183149 1211573 1219779 1249083 1279091 1289739 1315609 1323297 1326561 1329669 1400487 1408671 1446071 1478979 1490841 1526657 1574397 1579419 1617363 1681317 1721709 1765233 1807641 1813407 1822139 1832787 1879119 1885113 1924263 1930401 1976777 2026749 2048409 2054943 2104311 2106891 2157507 2164389 2209339 2296701 2304027 2351877 2359379 2419023 2433159 2511597 2568753 2575089 2636953 2793627 2807079 2816033 2880117 2904093 2973861 3065931 3139587 3147331 3165723 3334329 3342141 3414433 3437559 3520143 3549447 3634719 3659337 3747249 3837273 3869217 3946827 3969891 3979683 3989007 4075291 4201461 4302397 4338213 4436937 4472523 4579971 4738257 4852089 4864057 5135119 5165127 5295699 5422923 5440221 5466417 5498361 5655339 5772789 5791203 5930331 6080247 6145227 6164829 6312933 6320673 6472521 6493167 6628017 6649159 6890103 6912081 7055631 7078137 7257069 7431413 7534791 7725267 7910859 7936093 8380881 8421237 8448099 8640351 8869751 8921583 9418761 9441993 9497169 10002987 10026423 10243299 10312677 10560429 10648341 10904157 11241747 11484911 11511819 11607651 11840481 11939049 11967021 12225873 12604383 12907191 13014639 13327303 13417569 13707797 13739913 14471699 14556267 14592171 15405357 15495381 15906781 16268769 16320663 16399251 17318367 17373609 17790993 18240741 18494487 18938799 19417563 19479501 19884051 19947477 20670309 20736243 21166893 21234411 21744547 21771207 22294239 22365353 22604373 23175801 23732577 23808279 24302729 24996571 25142643 25263711 25344297 25953169 26609253 26764749 28256283 28325979 29006483 30008961 30729897 30976363 31681287 31945023 32712471 33725241 34454733 34535457 34620641 34822953 35521443 35817147 36677619 37558763 37813149 38721573 39043917 39981909 40252707 41123391 41219739 43415097 43668801 43776513 44828201 46216071 47326367 47720343 48806307 48961989 49197753 52120827 53372979 53504627 54722223 56486309 56816397 58252689 58438503 59652153 59842431 62208729 63500679 63703233 65233641 65313621 66882717 67096059 67813119 69527403 71197731 71424837 72908187 73140749 74989713 75427929 75791133 76032891 77859507 79827759 81745543 84977937 87019449 87297023 90026883 92189691 92929089 95043861 97567261 98137413 103364199 103606371 103861923 104468859 106564329 107451441 110032857 112676289 113439447 116164719 117131751 119945727 123370173 123659217 126334021 130245291 131329539 134484603 138648213 141979101 143161029 146885967 147593259 150785767 159188689 160118937 160513881 164166669 169458927 170449191 175315509 178956459 179527293 190502037 191109699 195700923 195940863 200648151 201288177 203439357 213593193 214274511 218724561 219422247 224969139 227373399 228098673 233578521 239483277 245236629 246018883 254933811 261058347 261891069 274962281 276569073 278787267 292701783 294412239 310092597 310819113 311585769 319692987 330098571 338028867 348494157 351395253 359837181 370110519 370977651 379002063 390735873 393988617 403453809 413146393 415944639 424941707 425937303 429483087 442779777 452357301 477566067 480356811 481541643 493110211 508376781 536869377 538581879 573329097 587102769 588550897 601944453 603864531 640779579 642823533 656173683 658266741 674907417 684296019 700735563 718449831 735709887 738056649 764801433 783175041 785673207 804548239 824886843 829707219 836361801 878105349 899200973 930277791 934757307 960267253 990295713 1014086601 1045482471 1073239871 1079511543 1110331557 1137006189 1172207619 1181965851 1210361427 1239439179 1247833917 1274825121 1277811909 1288449261 1357071903 1389674231 1432698201 1444624929 1479330633 1525130343 1615745637 1658643437 1751075579 1761308307 1765652691 1805833359 1811593593 1928470599 1968521049 1974800223 2024722251 2102206689 2155349493 2207129661 2214169947 2349525123 2357019621 2413644717 2474660529 2509085403 2634316047 2697602919 2706207713 2790833373 2804271921 2880801759 3024585091 3042259803 3219719613 3238534629 3330994671 3411018567 3516622857 3631084281 3718317537 3824475363 3833435727 3865347783 4071215709 4169022693 4298094603 4333874787 4437991899 4575391029 4674358777 4975930311 5253226737 5283924921 5296958073 5434780779 5905563147 5924400669 6074166753 6306620067 6621388983 6642509841 7048575369 7071058863 7240934151 7423981587 7527256209 7902948141 8092808757 8118623139 8412815763 8642405277 9073755273 9126779409 9659158839 10233055701 10893252843 11154952611 11473426089 11500307181 12213647127 12507068079 12894283809 13001624361 13313975697 13726173087 14023076331 14927790933 15286416541 15759680211 15890874219 17773202007 18245077807 19864166949 19927529523 21213176589 21722802453 22271944761 23708844423 24278426271 24355869417 25927215831 27221265819 28977476517 29768284843 30699167103 33270436001 33464857833 34420278267 36640941381 37521204237 38682851427 39941927091 42069228993 44783372799 45859249623 47279040633 47672622657 51417946547 54735233421 59782588569 65168407359 66815834283 72835278813 73067608251 77781647493 81663797457 86932429551 89304854529 99811308003 100394573499 103260834801 112563612711 119825781273 126207686979 134350118397 137577748869 141837121899 143017867971 154253839641 164205700263 195505222077 218505836439 219202824753 233344942479 244991392371 260797288653 267914563587 299433924009 337690838133 378623060937 403050355191 412733246607 425511365697 462761518923 492617100789 565597412017 657608474259 734974177113 803743690761 898301772027 1135869182811 1238199739821 1388284556769 1477851302367 1696792236051 2411231072283 2694905316081 3714599219463 4164853670307 4433553907101 5090376708153 7233693216849 8084715948243 12494561010921 15271130124459 45813390373377 137440171120131
- Sum of all divisors σ(n): 268033024546560
- Sum of proper divisors (its aliquot sum) s(n): 130592853426429
- 137440171120131 is a deficient number, because the sum of its proper divisors (130592853426429) is less than itself. Its deficiency is 6847317693702
Bases of 137440171120131
- Binary: 111110100000000010010001001001111010110000000112
- Hexadecimal: 0x7D004893D603
- Base-36: 1CPV55A96R
Squares and roots of 137440171120131
- 137440171120131 squared (1374401711201312) is 18889800637530891379233457161
- 137440171120131 cubed (1374401711201313) is 2596217432047405369331495713407708973208091
-
The
square root of 137440171120131 is 11723488.0099794105 -
The
cube root of 137440171120131 is 51606.5186064109
Scales and comparisons
How big is 137440171120131?- 137,440,171,120,131 seconds is equal to 4,370,172 years, 16 weeks, 1 day, 7 hours, 8 minutes, 51 seconds.
-
To count from 1 to 137,440,171,120,131 would take you about ten million, nine hundred twenty-five thousand, four hundred thirty 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 137440171120131 cubic inches would be around 4300.5 feet tall.
Recreational maths with 137440171120131
- 137440171120131 backwards is 131021171044731
- The number of decimal digits it has is: 15
- The sum of 137440171120131's digits is 36
- More coming soon!
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The information we have on file for 137440171120131 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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