138264901723820837420
138,264,901,723,820,837,420 is an even composite number composed of seven prime numbers multiplied together.
138264901723820837420 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138264901723820837420:
22 × 5 × 72 × 132 × 31 × 4392 × 118212
(2 × 2 × 5 × 7 × 7 × 13 × 13 × 31 × 439 × 439 × 11821 × 11821)See below for interesting mathematical facts about the number 138264901723820837420 from the Numbermatics database.
Names of 138264901723820837420
- Cardinal: 138264901723820837420 can be written as One hundred thirty-eight quintillion, two hundred sixty-four quadrillion, nine hundred one trillion, seven hundred twenty-three billion, eight hundred twenty million, eight hundred thirty-seven thousand, four hundred twenty.
Scientific notation
- Scientific notation: 1.3826490172382083742 × 1020
Factors of 138264901723820837420
Divisors of 138264901723820837420
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 4 5 7 10 13 14 20 26 28 31 35 49 52 62 65 70 91 98 124 130 140 155 169 182 196 217 245 260 310 338 364 403 434 439 455 490 620 637 676 806 845 868 878 910 980 1085 1183 1274 1519 1612 1690 1756 1820 2015 2170 2195 2366 2548 2821 3038 3073 3185 3380 4030 4340 4390 4732 5239 5642 5707 5915 6076 6146 6370 7595 8060 8281 8780 10478 11284 11414 11821 11830 12292 12740 13609 14105 15190 15365 16562 19747 20956 21511 22828 23642 23660 26195 27218 28210 28535 30380 30730 33124 36673 39494 39949 41405 43022 47284 52390 54436 56420 57070 59105 61460 68045 73346 74191 78988 79898 82747 82810 86044 95263 98735 104780 107555 114140 118210 136090 146692 148382 153673 159796 165494 165620 176917 183365 190526 192721 197470 199745 215110 236420 256711 272180 279643 296764 307346 330988 353834 366451 366730 370955 381052 385442 394940 399490 413735 430220 476315 513422 519337 559286 579229 614692 666841 707668 732902 733460 741910 768365 770884 798980 827470 884585 952630 963605 1026844 1038674 1075711 1118572 1158458 1238419 1283555 1333682 1349047 1398215 1465804 1483820 1536730 1654940 1769170 1832255 1905260 1927210 1997749 2077348 2151422 2299921 2316916 2476838 2505373 2565157 2567110 2596685 2667364 2698094 2796430 2896145 3073460 3334205 3538340 3635359 3664510 3854420 3995498 4302844 4599842 4763863 4953676 5010746 5130314 5134220 5189419 5193370 5378555 5396188 5592860 5792290 5974351 6192095 6668410 6745235 7270718 7329020 7529977 7990996 8668933 9199684 9443329 9527726 9988745 10021492 10260628 10378838 10386740 10757110 11499605 11584580 11948702 12384190 12526865 12825785 13336820 13490470 13984243 14541436 15059954 16099447 17337866 17537611 17956099 18176795 18886658 19055452 19977490 20757676 21514220 22999210 23819315 23897404 24768380 25053730 25651570 25947095 26980940 27968486 29871755 30119908 32198894 32569849 33347041 34675732 35075222 35912198 36325933 36353590 37649885 37773316 39954980 41820457 43344665 45998420 47216645 47638630 50107460 51303140 51894190 55936972 59743510 61930219 64397788 65139698 66694082 67462447 69921215 70150444 71824396 72651866 72707180 75299770 77666563 80497235 83640914 86689330 87688055 89780495 94433290 95277260 97889701 103788380 112696129 119487020 122763277 123860438 130279396 133388164 134924894 139736041 139842430 145303732 150599540 155333126 160871989 160994470 162849245 166735205 167281828 173378660 175376110 179560990 181629665 188866580 195779402 209102285 225392258 227988943 233429287 245526554 247720876 254281531 269849788 279472082 279684860 292743199 309651095 310666252 321743978 321988940 325698490 333470410 337312235 350752220 359121980 363259330 388332815 391558804 418204570 433511533 450784516 455977886 466858574 472237129 489448505 491053108 508563062 543665941 558944164 563480645 585486398 613816385 619302190 643487956 651396980 666940820 674624470 698680205 726518660 776665630 804359945 836409140 867023066 877011811 911955772 933717148 944474258 978152287 978897010 1009665319 1017126124 1087331882 1126103923 1126961290 1139944715 1167146435 1170972796 1227632770 1238604380 1271407655 1349248940 1397360410 1463715995 1553331260 1595922601 1608719890 1734046132 1754023622 1816568533 1888948516 1956304574 1957794020 2019330638 2091335857 2167557665 2174663764 2252207846 2253922580 2278154941 2279889430 2334292870 2361185645 2455265540 2542815310 2718329705 2794720820 2927431990 3034580731 3191845202 3217439780 3305659903 3508047244 3633137066 3805661587 3912609148 4038661276 4182671714 4331817271 4335115330 4385059055 4504415692 4556309882 4559778860 4668585740 4722371290 4890761435 5048326595 5085630620 5436659410 5630519615 5854863980 6069161462 6139082677 6383690404 6611319806 6847066009 7067657233 7266274132 7611323174 7882727461 7979613005 8365343428 8663634542 8670230660 8770118110 9082842665 9112619764 9444742580 9781522870 10096653190 10456679285 10873318820 11261039230 11390774705 12138322924 12278165354 12715979731 13222639612 13694132018 14135314466 14639350999 15172903655 15222646348 15765454922 15947084587 15959226010 16528299515 17327269084 17540236220 18165685330 19028307935 19563045740 20193306380 20913358570 21659086355 22522078460 22781549410 23615390929 24556330708 25431959462 27187366141 27388264036 28270628932 29278701998 29616014233 30322720897 30345807310 30695413385 31530909844 31894169174 31918452020 33056599030 34235330045 35338286165 36331370660 38056615870 39413637305 41826717140 42973578739 43318172710 45563098820 47230781858 49473600631 50863918924 54374732282 56313624523 58557403996 59232028466 60645441794 60691614620 61344121999 61390826770 63579898655 63788338348 66113198060 68470660090 70622803171 70676572330 73196754995 76113231740 78827274610 79735422935 85947157478 86636345420 89011858117 94461563716 98947201262 102475456993 108749464564 111629592109 112627249046 118076954645 118464056932 121290883588 122688243998 122781653540 127159797310 135936830705 136941320180 141245606342 141353144660 146393509990 148080071165 151613604485 157654549220 159470845870 165307736503 171894314956 178023716234 190311562987 197894402524 204950913986 207312099631 212259046279 214867893695 223259184218 225254498092 236153909290 245376487996 247368003155 254319594620 271873661410 281568122615 282491212684 292787019980 296160142330 303227208970 306720609995 318941691740 330615473006 353114015855 356047432468 380623125974 385008185029 394195371661 409901827972 414624199262 424518092558 429408853993 429735787390 445059290585 446518368436 472307818580 494359622197 494736006310 512377284965 543747322820 558147960545 563136245230 592320284660 606454417940 613441219990 661230946012 706228031710 732077118799 761246251948 770016370058 788390743322 797473585987 826538682515 829248398524 849036185116 858817707986 859471574780 890118581170 918096441223 951557814935 988719244394 989472012620 1024754569930 1036560498155 1061295231395 1116295921090 1126272490460 1157154155521 1226882439980 1332180940909 1412456063420 1451184697417 1464154237598 1540032740116 1576781486644 1594947171974 1653077365030 1717635415972 1780237162340 1836192882446 1901667781969 1903115629870 1925040925145 1970976858305 1977438488788 2049509139860 2073120996310 2122590462790 2147044269965 2232591842180 2314308311042 2471798110985 2664361881818 2695057295203 2759367601627 2902369394834 2928308475196 3005861977951 3189894343948 3306154730060 3460517355379 3660385593995 3672385764892 3803335563938 3806231259740 3850081850290 3941953716610 3987367929935 4146241992620 4245180925580 4294088539930 4590482206115 4628616622084 4943596221970 5124539831593 5328723763636 5390114590406 5518735203254 5582315101909 5785770777605 5804738789668 6011723955902 6426675088561 6660904704545 6921034710758 7255923487085 7320771187990 7606671127876 7700163700580 7883907433220 7974735859870 8588177079860 9180964412230 9508338909845 9887192443940 10249079663186 10367156617831 10780229180812 11037470406508 11164630203818 11571541555210 11935253735899 12023447911804 12853350177122 13311674473783 13321809409090 13475286476015 13796838008135 13842069421516 14511846974170 14641542375980 15029309889755 15949471719740 17302586776895 18361928824460 18865401066421 19016677819690 20498159326372 20734313235662 22329260407636 23143083110420 23870507471798 24721681165597 25622699157965 25706700354244 26623348947566 26643618818180 26930069557561 26950572952030 27593676016270 27911575509545 29023693948340 30058619779510 32133375442805 34605173553790 35871778821151 37730802132842 38033355639380 39076205713363 41468626471324 44986725619927 47741014943596 49443362331194 51245398315930 51835783089155 53246697895132 53860139115122 53901145904060 55187352032540 55823151019090 59676268679495 60117239559020 64266750885610 66558372368915 69210347107580 71743557642302 72570096324817 75461604265684 78152411426726 83546776151293 89973451239854 93181721316481 94327005332105 98886724662388 102490796631860 103671566178310 107720278230244 111646302038180 119352537358990 123608405827985 128533501771220 133116744737830 134650347787805 143487115284604 145140192649634 156304822853452 167093552302586 173051768159179 179358894105755 179946902479708 186363442632962 188510486902927 188654010664210 195381028566815 207343132356620 224933628099635 238705074717980 247216811655970 266233489475660 269300695575610 290280385299268 321381855152761 334187104605172 346103536318358 350090904248293 358717788211510 362850481624085 372726885265924 377020973805854 377308021328420 390762057133630 417733880756465 449867256199270 465908606582405 494433623311940 507990674273719 538601391151220 584827433059051 642763710305522 692207072636716 700181808496586 717435576423020 725700963248170 754041947611708 781524114267260 834832156284391 835467761512930 865258840795895 899734512398540 931817213164810 942552434514635 1015981348547438 1169654866118102 1211362377114253 1285527420611044 1319573408320489 1400363616993172 1451401926496340 1606909275763805 1669664312568782 1670935523025860 1730517681591790 1750454521241465 1863634426329620 1885104869029270 2031962697094876 2249672986069327 2339309732236204 2422724754228506 2450636329738051 2539953371368595 2639146816640978 2924137165295255 3213818551527610 3339328625137564 3461035363183580 3500909042482930 3770209738058540 4174160781421955 4499345972138654 4551181755227809 4845449508457012 4901272659476102 5079906742737190 5278293633281956 5843825093990737 5848274330590510 6056811885571265 6427637103055220 6597867041602445 7001818084965860 8348321562843910 8998691944277308 9102363510455618 9802545318952204 10159813485474380 10852818031697083 11248364930346635 11687650187981474 11696548661181020 12113623771142530 12253181648690255 13195734083204890 15747710902485289 16696643125687820 17154454308166357 18204727020911236 21705636063394166 22496729860693270 22755908776139045 23375300375962948 24227247542285060 24506363297380510 26391468166409780 29219125469953685 31495421804970578 31858272286594663 34308908616332714 40906775657935159 43411272126788332 44993459721386540 45511817552278090 49012726594761020 54264090158485415 58438250939907370 62990843609941156 63716544573189326 68617817232665428 75969726221879581 78738554512426445 81813551315870318 85772271540831785 91023635104556180 108528180316970830 116876501879814740 127433089146378652 141086634412062079 151939452443759162 157477109024852890 159291361432973315 163627102631740636 171544543081663570 204533878289675795 217056360633941660 223007906006162641 282173268824124158 303878904887518324 314954218049705780 318582722865946630 343089086163327140 379848631109397905 409067756579351590 446015812012325282 531788083553157067 564346537648248316 637165445731893260 705433172060310395 759697262218795810 818135513158703180 892031624024650564 987606440884434553 1063576167106314134 1115039530030813205 1410866344120620790 1519394524437591620 1975212881768869106 2127152334212628268 2230079060061626410 2658940417765785335 2821732688241241580 3950425763537738212 4460158120123252820 4938032204422172765 5317880835531570670 6913245086191041871 9876064408844345530 10635761671063141340 13826490172382083742 19752128817688691060 27652980344764167484 34566225430955209355 69132450861910418710 138264901723820837420
- Sum of all divisors σ(n): 378433726784494661952
- Sum of proper divisors (its aliquot sum) s(n): 240168825060673824532
- 138264901723820837420 is an abundant number, because the sum of its proper divisors (240168825060673824532) is greater than itself. Its abundance is 101903923336852987112
Bases of 138264901723820837420
- Binary: 11101111110110011111001101110001111000110001010001011001010001011002
- Hexadecimal: 0x77ECF9B8F18A2CA2C
- Base-36: T6GZL3ZLYNWH8
Squares and roots of 138264901723820837420
- 138264901723820837420 squared (1382649017238208374202) is 19117183048697834379143395523390072256400
- 138264901723820837420 cubed (1382649017238208374203) is 2643235435464499692766553167697409854916473914341756954488000
-
The
square root of 138264901723820837420 is 11758609684.9849063021 -
The
cube root of 138264901723820837420 is 5170953.7069828811
Scales and comparisons
How big is 138264901723820837420?- 138,264,901,723,820,837,420 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,264,901,723,820,837,420 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 138264901723820837420 cubic inches would be around 430912.8 feet tall.
Recreational maths with 138264901723820837420
- 138264901723820837420 backwards is 024738028327109462831
- The number of decimal digits it has is: 21
- The sum of 138264901723820837420's digits is 80
- More coming soon!
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"Number 138264901723820837420 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 138264901723820837420 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138264901723820837420/
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The information we have on file for 138264901723820837420 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 138264901723820837420, math, Factors of 138264901723820837420, curriculum, school, college, exams, university, Prime factorization of 138264901723820837420, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, two hundred sixty-four quadrillion, nine hundred one trillion, seven hundred twenty-three billion, eight hundred twenty million, eight hundred thirty-seven thousand, four hundred twenty.