138149270481108992
138,149,270,481,108,992 is an even composite number composed of five prime numbers multiplied together.
What does the number 138149270481108992 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1152 divisors.
138149270481108992 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 138149270481108992:
215 × 72 × 292 × 79 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 29 × 29 × 79 × 109 × 109 × 109)See below for interesting mathematical facts about the number 138149270481108992 from the Numbermatics database.
Names of 138149270481108992
- Cardinal: 138149270481108992 can be written as One hundred thirty-eight quadrillion, one hundred forty-nine trillion, two hundred seventy billion, four hundred eighty-one million, one hundred eight thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.38149270481108992 × 1017
Factors of 138149270481108992
Divisors of 138149270481108992
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 7 8 14 16 28 29 32 49 56 58 64 79 98 109 112 116 128 158 196 203 218 224 232 256 316 392 406 436 448 464 512 553 632 763 784 812 841 872 896 928 1024 1106 1264 1421 1526 1568 1624 1682 1744 1792 1856 2048 2212 2291 2528 2842 3052 3136 3161 3248 3364 3488 3584 3712 3871 4096 4424 4582 5056 5341 5684 5887 6104 6272 6322 6496 6728 6976 7168 7424 7742 8192 8611 8848 9164 10112 10682 11368 11774 11881 12208 12544 12644 12992 13456 13952 14336 14848 15484 16037 16384 17222 17696 18328 20224 21364 22127 22736 23548 23762 24416 25088 25288 25984 26912 27904 28672 29696 30968 32074 32768 34444 35392 36656 40448 41209 42728 44254 45472 47096 47524 48832 50176 50576 51968 53824 55808 57344 59392 60277 61936 64148 66439 68888 70784 73312 80896 82418 83167 85456 88508 90944 91669 94192 95048 97664 100352 101152 103936 107648 111616 112259 114688 118784 120554 123872 128296 132878 137776 141568 146624 154889 161792 164836 166334 170912 177016 181888 183338 188384 190096 195328 200704 202304 207872 215296 223232 224518 229376 237568 241108 247744 249719 256592 265756 275552 283136 293248 309778 323584 329672 332668 341824 344549 354032 363776 366676 376768 380192 390656 401408 404608 415744 421939 430592 446464 449036 465073 475136 482216 495488 499438 513184 531512 551104 566272 582169 586496 619556 641683 647168 659344 665336 683648 689098 708064 727552 733352 753536 760384 781312 802816 809216 831488 843878 861184 892928 898072 930146 938599 950272 964432 990976 998876 1026368 1063024 1102208 1132544 1164338 1172992 1239112 1283366 1294336 1295029 1318688 1330672 1367296 1378196 1416128 1455104 1466704 1507072 1520768 1562624 1605632 1618432 1662976 1687756 1722368 1748033 1785856 1796144 1860292 1877198 1928864 1981952 1997752 2052736 2126048 2204416 2265088 2328676 2345984 2411843 2478224 2566732 2588672 2590058 2637376 2661344 2734592 2756392 2832256 2910208 2933408 3014144 3041536 3125248 3236864 3255511 3325952 3375512 3444736 3496066 3571712 3592288 3720584 3754396 3857728 3963904 3995504 4105472 4252096 4408832 4491781 4530176 4657352 4691968 4823686 4956448 5133464 5180116 5274752 5322688 5469184 5512784 5664512 5820416 5866816 6028288 6083072 6250496 6473728 6511022 6570193 6651904 6751024 6889472 6992132 7184576 7241851 7441168 7508792 7715456 7927808 7991008 8210944 8504192 8817664 8983562 9060352 9065203 9314704 9383936 9647372 9912896 9991921 10266928 10360232 10549504 10645376 10938368 11025568 11329024 11640832 11733632 12056576 12166144 12236231 12500992 12947456 13022044 13140386 13502048 13778944 13984264 14369152 14483702 14882336 15017584 15430912 15855616 15982016 16421888 16882901 17008384 17635328 17967124 18120704 18130406 18629408 18767872 19294744 19825792 19983842 20533856 20720464 21099008 21290752 21876736 22051136 22658048 23281664 23467264 24113152 24332288 24472462 25001984 25894912 26044088 26280772 27004096 27219371 27557888 27968528 28738304 28967404 29764672 30035168 30861824 31711232 31964032 32843776 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204614582 208352704 210246176 216032768 217754968 223748224 229906432 231739232 238117376 240281344 246894592 253825684 255712256 262750208 262890887 270126416 272134144 279773788 282165248 287473984 290086496 298070528 300446728 308715904 317212672 319741472 328541696 331527424 337584128 340652032 352818176 354850699 362528768 367930808 375476224 381071194 389316608 391559392 405543656 409229164 416705408 420492352 432065536 435509936 447496448 459812864 463478464 476234752 480562688 489604129 493789184 507651368 511424512 525500416 525781774 540252832 544268288 559547576 574947968 580172992 596141056 600893456 617431808 634425344 639482944 657083392 663054848 675168256 681304064 705636352 709701398 716151037 725057536 735861616 750952448 762142388 783118784 789361759 811087312 818458328 833410816 840984704 864131072 871019872 894992896 919625728 926956928 952469504 961125376 979208258 987578368 1015302736 1022849024 1051563548 1080505664 1088536576 1089119389 1119095152 1149895936 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5645090816 5677611184 5729208296 5886892928 5933822878 6097139104 6264950272 6314894072 6488698496 6547666624 6667286528 6727877632 6913048576 6968158976 7159943168 7360944836 7415655424 7619756032 7623835723 7689003008 7833666064 8122421888 8182792192 8412508384 8644045312 8712955112 8952761216 9199167488 9282767872 9538256896 9614295296 9878908928 10026114518 10231727104 10513334272 10608877568 10669993432 11051064626 11290181632 11355222368 11458416592 11773785856 11867645756 12194278208 12529900544 12629788144 12977396992 13095333248 13334573056 13455755264 13826097152 13936317952 14319886336 14721889672 14831310848 15239512064 15247671446 15378006016 15667332128 16244843776 16825016768 17288090624 17425910224 17905522432 18398334976 18565535744 19076513792 19228590592 19757817856 20052229036 20463454208 20768380073 21026668544 21217755136 21339986864 22102129252 22710444736 22916833184 23547571712 23735291512 24388556416 25059801088 25259576288 25954793984 26190666496 26669146112 26911510528 27872635904 28639772672 29443779344 29662621696 30495342892 30756012032 31334664256 32489687552 33650033536 34576181248 34851820448 35811044864 36796669952 37131071488 38457181184 38678726191 39515635712 40104458072 40926908416 41536760146 42435510272 42679973728 44204258504 45420889472 45833666368 47095143424 47470583024 48777112832 50119602176 50519152576 51909587968 52381332992 53338292224 53366850061 53823021056 55745271808 57279545344 58887558688 59325243392 60990685784 62669328512 64979375104 67300067072 69152362496 69703640896 71622089728 73593339904 74262142976 76914362368 77357452382 79031271424 80208916144 81853816832 83073520292 85359947456 86040431731 88408517008 90841778944 91667332736 94190286848 94941166048 97554225664 100239204352 101038305152 103819175936 104762665984 106676584448 106733700122 107646042112 111490543616 117775117376 118650486784 121981371568 125338657024 129958750208 134600134144 138304724992 139407281792 143244179456 145378660511 147186679808 148524285952 153828724736 154714904764 160417832288 163707633664 166147040584 170719894912 172080863462 176817034016 181683557888 183334665472 188380573696 189882332096 195108451328 200478408704 202076610304 207638351872 209525331968 213467400244 215292084224 222981087232 235550234752 237300973568 243962743136 250677314048 259917500416 269200268288 276609449984 278814563584 286488358912 290757321022 297048571904 307657449472 309429809528 320835664576 327415267328 332294081168 341439789824 344161726924 353634068032 363367115776 366669330944 376761147392 379764664192 390216902656 400956817408 404153220608 415276703744 419050663936 426934800488 445962174464 471100469504 487925486272 501354628096 519835000832 538400536576 553218899968 557629127168 572976717824 581514642044 602283022117 615314898944 618859619056 641671329152 664588162336 682879579648 688323453848 707268136064 726734231552 733338661888 753522294784 759529328384 780433805312 808306441216 830553407488 838101327872 853869600976 891924348928 942200939008 975850972544 1002709256192 1039670001664 1076801073152 1115258254336 1145953435648 1163029284088 1204566044234 1230629797888 1237719238112 1283342658304 1329176324672 1365759159296 1376646907696 1414536272128 1453468463104 1466677323776 1507044589568 1519058656768 1560867610624 1616612882432 1661106814976 1676202655744 1707739201952 1884401878016 1951701945088 2005418512384 2079340003328 2153602146304 2230516508672 2291906871296 2326058568176 2409132088468 2475438476224 2566685316608 2658352649344 2731518318592 2753293815392 2829072544256 2906936926208 2933354647552 3038117313536 3121735221248 3233225764864 3352405311488 3415478403904 3768803756032 3903403890176 4010837024768 4215981154819 4307204292608 4461033017344 4652117136352 4818264176936 4950876952448 5133370633216 5316705298688 5463036637184 5506587630784 5658145088512 5813873852416 5866709295104 6076234627072 6243470442496 6466451529728 6830956807808 7537607512064 7806807780352 8021674049536 8431962309638 8614408585216 8922066034688 9304234272704 9636528353872 9901753904896 10266741266432 10633410597376 10926073274368 11013175261568 11316290177024 11627747704832 11733418590208 12152469254144 12932903059456 13661913615616 15075215024128 15613615560704 16043348099072 16863924619276 17844132069376 18608468545408 19273056707744 19803507809792 20533482532864 21266821194752 21852146548736 22026350523136 22632580354048 23466837180416 24304938508288 25865806118912 27323827231232 30150430048256 31227231121408 33727849238552 35688264138752 37216937090816 38546113415488 39607015619584 41066965065728 42533642389504 43704293097472 44052701046272 45265160708096 48609877016576 54647654462464 60300860096512 62454462242816 67455698477104 74433874181632 77092226830976 79214031239168 82133930131456 85067284779008 88105402092544 90530321416192 97219754033152 109295308924928 124908924485632 134911396954208 148867748363264 154184453661952 158428062478336 164267860262912 170134569558016 176210804185088 181060642832384 218590617849856 249817848971264 269822793908416 297735496726528 308368907323904 316856124956672 340269139116032 352421608370176 437181235699712 539645587816832 595470993453056 616737814647808 633712249913344 680538278232064 704843216740352 874362471399424 1079291175633664 1190941986906112 1233475629295616 1267424499826688 1409686433480704 1748724942798848 2158582351267328 2381883973812224 2466951258591232 2819372866961408 4317164702534656 4763767947624448 4933902517182464 8634329405069312 9867805034364928 17268658810138624 19735610068729856 34537317620277248 69074635240554496 138149270481108992
- Sum of all divisors σ(n): 340203309907032000
- Sum of proper divisors (its aliquot sum) s(n): 202054039425923008
- 138149270481108992 is an abundant number, because the sum of its proper divisors (202054039425923008) is greater than itself. Its abundance is 63904768944814016
Bases of 138149270481108992
- Binary: 1111010101100111000000111100100010000000110000000000000002
- Hexadecimal: 0x1EACE0791018000
- Base-36: 11S9TUPRZNCW
Squares and roots of 138149270481108992
- 138149270481108992 squared (1381492704811089922) is 19085220934462612301937542183256064
- 138149270481108992 cubed (1381492704811089923) is 2636609349066799137682296504483002031417084228927488
-
The
square root of 138149270481108992 is 371684369.4334064837 -
The
cube root of 138149270481108992 is 516951.1811619129
Scales and comparisons
How big is 138149270481108992?- 138,149,270,481,108,992 seconds is equal to 4,392,719,477 years, 28 weeks, 3 days, 15 hours, 36 minutes, 32 seconds.
-
To count from 1 to 138,149,270,481,108,992 would take you about thirteen billion, one hundred seventy-eight million, one hundred fifty-eight thousand, four hundred thirty-two 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 138149270481108992 cubic inches would be around 43079.3 feet tall.
Recreational maths with 138149270481108992
- 138149270481108992 backwards is 299801184072941831
- The number of decimal digits it has is: 18
- The sum of 138149270481108992's digits is 77
- More coming soon!
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"Number 138149270481108992 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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The information we have on file for 138149270481108992 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 138149270481108992, math, Factors of 138149270481108992, curriculum, school, college, exams, university, Prime factorization of 138149270481108992, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred forty-nine trillion, two hundred seventy billion, four hundred eighty-one million, one hundred eight thousand, nine hundred ninety-two.