138590441838343131
138,590,441,838,343,131 is an odd composite number composed of six prime numbers multiplied together.
138590441838343131 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 138590441838343131:
3 × 72 × 132 × 173 × 312 × 10872
(3 × 7 × 7 × 13 × 13 × 17 × 17 × 17 × 31 × 31 × 1087 × 1087)See below for interesting mathematical facts about the number 138590441838343131 from the Numbermatics database.
Names of 138590441838343131
- Cardinal: 138590441838343131 can be written as One hundred thirty-eight quadrillion, five hundred ninety trillion, four hundred forty-one billion, eight hundred thirty-eight million, three hundred forty-three thousand, one hundred thirty-one.
Scientific notation
- Scientific notation: 1.38590441838343131 × 1017
Factors of 138590441838343131
Divisors of 138590441838343131
- Number of divisors d(n): 648
-
Complete list of divisors:
1 3 7 13 17 21 31 39 49 51 91 93 119 147 169 217 221 273 289 357 403 507 527 637 651 663 833 867 961 1087 1183 1209 1519 1547 1581 1911 2023 2499 2821 2873 2883 3261 3549 3689 3757 4557 4641 4913 5239 6069 6727 6851 7609 8281 8463 8619 8959 10829 11067 11271 12493 14131 14161 14739 15717 16337 18479 19747 20111 20181 20553 22827 24843 25823 26299 26877 32487 33697 34391 36673 37479 42393 42483 47089 47957 48841 49011 53263 55437 59241 60333 62713 63869 77469 78897 87451 89063 98917 101091 103173 110019 114359 116467 129353 140777 141267 143871 146523 152303 159789 162409 183703 184093 188139 191607 212381 235879 240227 240737 256711 262353 267189 277729 296751 314143 335699 341887 343077 349401 388059 422331 438061 438991 447083 456909 487227 551109 552279 572849 612157 623441 637143 692419 707637 720681 722211 770133 800513 815269 830297 833187 905471 942429 1007097 1025661 1044607 1066121 1136863 1181569 1285921 1314183 1316973 1341249 1486667 1514071 1651153 1681589 1718547 1836471 1870323 1944103 1979939 2077257 2199001 2393209 2401539 2445807 2490891 2716413 2760953 3066427 3122951 3129581 3133821 3198363 3410589 3544707 3610477 3857763 4009943 4083859 4364087 4460001 4542213 4721393 4953459 5044767 5340431 5694793 5706883 5812079 5832309 5939817 6597003 7179627 7312249 7447037 7462847 7958041 8270983 8282859 9001447 9199281 9368853 9388743 9738433 10406669 10598497 10831431 11771123 12029829 12251577 13092261 13579891 13608721 13859573 14164179 15360397 15393007 16021293 17084379 17120649 17436237 17758319 19326671 20086673 21464989 21860657 21936747 22341111 22388541 23874123 24812949 25273339 25739207 27004341 28069601 28587013 29215299 31220007 31795491 33049751 35313369 36628639 37383017 39863551 40684553 40739673 40826163 41578719 46081191 46179021 46936201 51185743 52129259 53090167 53274957 57896881 57980013 60260019 61378109 64394967 65581971 68169031 69425603 74189479 75820017 77217621 84208803 85761039 95059237 96811481 97017011 99149253 107522779 109885917 112149051 119590653 122053659 124308233 126599629 135286697 140606711 140808603 153024599 153557229 156387777 159270501 165553361 173690643 176538583 176913373 180174449 184134327 199685161 200109091 204507093 208276809 222568437 230858147 231348257 256400473 261126749 261681119 279044857 285177711 290434443 291051033 301891423 322568337 328553407 341473441 364904813 371631169 372924699 379798887 405860091 421820133 429646763 459073797 476172307 477183217 485979221 496660083 529615749 530740119 540523347 599055483 600327273 622686863 665414659 677680367 692574441 694044771 752659453 769201419 783380247 785043357 797915417 837134571 870157631 886197403 902532839 905674269 984246977 985660221 1024420323 1094714439 1114893507 1135487809 1158873527 1235770081 1261221143 1288940289 1397796127 1428516921 1431549651 1457937663 1616007029 1645795177 1794803311 1827887243 1868060589 1996243977 2033041101 2113239961 2152193693 2257978359 2299873849 2390314087 2393746251 2601418183 2610472893 2658592209 2707598517 2952740931 3001155911 3007527341 3333206149 3394647737 3401854547 3406463427 3476620581 3707310243 3783663429 3924588499 4193388381 4358808041 4439154733 4743762569 4848021087 4937385531 5132154191 5384409933 5483661729 5585407919 5805048497 6190239991 6203381821 6317729873 6339719883 6456581079 6899621547 7170942261 7804254549 7948414663 8094929219 8112114689 8650390567 9003467733 9022582023 9784572889 9999618447 10183943211 10205563641 10585676671 11312049203 11520566239 11773765497 12795210701 13076424123 13317464199 14231287707 14761341517 14792679727 15065355851 15396462573 16732198609 16756223757 17415145491 18570719973 18610145463 18953189619 19303292753 21008091377 23332443043 23762534159 23845243989 24284787657 24336344067 25951171701 27472119493 27978518009 29353718667 30511656287 31074083131 31757030013 33936147609 34561698717 35925079337 38385632103 39097855433 40635339479 43331679937 44224109111 44284024551 44378039181 45196067553 50196595827 51019650487 55638902641 56664504533 57709011529 57909878259 63024274131 66718004483 69997329129 71287602477 74099736697 75465630461 80643963673 82416358479 83935554027 91534968861 93222249393 103329390619 105234079847 105457490957 107775238011 117293566299 121906018437 129995039811 132672327333 135123049271 137613796723 147056639639 153058951461 166337739113 166916707923 169993513599 173127034587 179956503407 191897439721 192304836451 195849626063 200154013449 217518581917 222299210091 226396891383 241931891019 250942805789 251475555359 284447376353 303321759559 309988171857 315702239541 316372472871 328155976801 357137553409 396651531731 403963080703 405369147813 412841390169 441169918917 467026031381 499013217339 518698156879 528259413227 539869510221 575692319163 576914509353 587548878189 652555745751 723305734333 736638558929 752828417367 754426666077 853342129059 867334058279 909965278677 945861344897 963296577061 981053195993 984467930403 1071412660227 1189954595193 1211889242109 1259695523849 1343282078047 1370947382441 1401078094143 1556094470637 1584778239681 1756599640523 1788979357399 2169917202999 2209915676787 2297091837607 2339434544291 2499962873863 2602002174837 2827741564921 2837584034691 2889889731183 2943159587979 3262256475257 3269182219667 3697815892589 3779086571547 4029846234141 4112842147323 4266027698413 5156469912503 5269798921569 5366938072197 5578651605617 6071338407953 6743076039427 6867372371951 6891275512821 7018303632873 7499888621589 8483224694763 8817868666943 9402974546329 9786769425771 9807546659001 11093447677767 12296197483661 12522855501793 12798083095239 15469409737509 16079642863249 16376041810037 16735954816851 18214015223859 20229228118281 20602117115853 22835795326799 26453606000829 28208923638987 29862193888891 30412649075783 36888592450983 37568566505379 39050561239319 42499368855671 48071606603657 48238928589747 49128125430111 55458360079369 68507385980397 72522470873021 87659988512551 89586581666673 91237947227349 114632292670259 117151683717957 127498106567013 144214819810971 159850567287593 166375080238107 209035357222237 212888543530481 217567412619063 262979965537653 273353928675233 343896878010777 388208520555583 479551701862779 507657296111147 627106071666711 638665630591443 820061786025699 942792121349273 1164625561666749 1490219804713367 1522971888333441 2717459643889081 2828376364047819 3553601072778029 4470659414140101 6599544849444911 8152378931667243 10660803218334087 19798634548334733 46196813946114377 138590441838343131
- Sum of all divisors σ(n): 255778770185351280
- Sum of proper divisors (its aliquot sum) s(n): 117188328347008149
- 138590441838343131 is a deficient number, because the sum of its proper divisors (117188328347008149) is less than itself. Its deficiency is 21402113491334982
Bases of 138590441838343131
- Binary: 1111011000101111101000101110001110000100111110011110110112
- Hexadecimal: 0x1EC5F45C709F3DB
- Base-36: 11WM7M1FDP7F
Squares and roots of 138590441838343131
- 138590441838343131 squared (1385904418383431312) is 19207310568947170172040747294883161
- 138590441838343131 cubed (1385904418383431313) is 2661949658276666100305735053185863073236130471917091
-
The
square root of 138590441838343131 is 372277372.1814732201 -
The
cube root of 138590441838343131 is 517500.8805646363
Scales and comparisons
How big is 138590441838343131?- 138,590,441,838,343,131 seconds is equal to 4,406,747,362 years, 3 weeks, 6 days, 15 hours, 18 minutes, 51 seconds.
-
To count from 1 to 138,590,441,838,343,131 would take you about thirteen billion, two hundred twenty million, two hundred forty-two thousand and eighty-six 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 138590441838343131 cubic inches would be around 43125.1 feet tall.
Recreational maths with 138590441838343131
- 138590441838343131 backwards is 131343838144095831
- The number of decimal digits it has is: 18
- The sum of 138590441838343131's digits is 69
- More coming soon!
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The information we have on file for 138590441838343131 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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