138426605857509200
138,426,605,857,509,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138426605857509200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1620 divisors.
138426605857509200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 138426605857509200:
24 × 52 × 7 × 11 × 732 × 1132 × 2572
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 73 × 73 × 113 × 113 × 257 × 257)See below for interesting mathematical facts about the number 138426605857509200 from the Numbermatics database.
Names of 138426605857509200
- Cardinal: 138426605857509200 can be written as One hundred thirty-eight quadrillion, four hundred twenty-six trillion, six hundred five billion, eight hundred fifty-seven million, five hundred nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.384266058575092 × 1017
Factors of 138426605857509200
Divisors of 138426605857509200
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 73 77 80 88 100 110 112 113 140 146 154 175 176 200 220 226 257 275 280 292 308 350 365 385 400 440 452 511 514 550 560 565 584 616 700 730 770 791 803 880 904 1022 1028 1100 1130 1168 1232 1243 1285 1400 1460 1540 1582 1606 1799 1808 1825 1925 2044 2056 2200 2260 2486 2555 2570 2800 2825 2827 2920 3080 3164 3212 3598 3650 3850 3955 4015 4088 4112 4400 4520 4972 5110 5140 5329 5621 5650 5654 5840 6160 6215 6328 6424 6425 7196 7300 7700 7910 8030 8176 8249 8701 8995 9040 9944 10220 10280 10658 11242 11300 11308 12430 12656 12769 12775 12848 12850 14135 14392 14600 15400 15820 16060 16498 17402 17990 18761 19775 19789 19888 20075 20440 20560 21316 22484 22600 22616 24860 25538 25550 25700 26645 28105 28270 28784 29041 29200 30800 31075 31640 32120 32996 34804 35980 37303 37522 39550 39578 40150 40880 41245 42632 43505 44968 44975 45200 45232 49720 51076 51100 51400 53290 56210 56540 57743 58082 58619 62150 63280 63845 64240 65992 66049 69608 70675 71960 74606 75044 79100 79156 80300 82490 85264 87010 89383 89936 89950 90739 93805 98945 99440 102152 102200 102800 106580 112420 113080 115486 116164 117238 124300 127690 131327 131984 132098 133225 139216 140459 140525 141350 143920 145205 149212 150088 158200 158312 160600 164980 174020 178766 179900 181478 186515 187610 197890 203287 204304 204400 206225 206371 213160 217525 224840 226160 230972 232328 234476 248600 255380 262654 264196 266450 280918 281050 282700 288715 290410 293095 298424 300176 316400 316624 319225 319451 321200 329960 330245 348040 357532 359800 362956 373030 375220 395780 406574 410333 412450 412742 426320 435050 446915 449680 453695 461944 462343 464656 468952 469025 494725 497200 510760 525308 528392 532900 561836 562100 565400 577430 580820 586190 596848 602177 635173 638450 638902 656635 659920 660490 696080 702295 715064 719600 725912 726025 726539 746060 750440 791560 813148 820666 824900 825484 870100 893830 907390 923888 924686 932137 932575 937904 938050 983213 989450 1016435 1021520 1031855 1050616 1056784 1065800 1123672 1124200 1130800 1154860 1161640 1172380 1204354 1270346 1276900 1277804 1313270 1320980 1369553 1404590 1430128 1443575 1444597 1451824 1452050 1453078 1465475 1492120 1500880 1583120 1597255 1626296 1641332 1649800 1650968 1651225 1740200 1787660 1814780 1849372 1864274 1865150 1876100 1966426 1978900 2032870 2051665 2063710 2101232 2119993 2131600 2234575 2236157 2247344 2248400 2268475 2309720 2311715 2323280 2344760 2408708 2540692 2553800 2555608 2626540 2641960 2739106 2809180 2887150 2889194 2904100 2906156 2930950 2984240 3010885 3175865 3194510 3252592 3281633 3282664 3283175 3299600 3301936 3302450 3480400 3511475 3575320 3629560 3632695 3698744 3728548 3730300 3752200 3932852 3957800 4065740 4103330 4127420 4215239 4239986 4469150 4472314 4536950 4619440 4623430 4660685 4689520 4817416 4821577 4916065 5081384 5082175 5085773 5107600 5111216 5159275 5253080 5283920 5478212 5618360 5774300 5778388 5808200 5812312 5861900 6021770 6351730 6389020 6524959 6563266 6565328 6566350 6604900 6623947 6847765 7022950 7150640 7222985 7259120 7265390 7397488 7457096 7460600 7463537 7504400 7865704 7915600 7986275 8131480 8206660 8254840 8430478 8479972 8938300 8944628 9073900 9246860 9321370 9586871 9634832 9643154 9832130 10162768 10164350 10171546 10253507 10258325 10318550 10506160 10599965 10956424 11180785 11236720 11548600 11556776 11558575 11616400 11624624 11723800 12043540 12703460 12778040 13049918 13126532 13132700 13209800 13247894 13695530 14045900 14445970 14530780 14839951 14914192 14921200 14927074 15054425 15065083 15731408 15879325 15972550 16262960 16408165 16413320 16509680 16860956 16959944 17876600 17889256 18147800 18163475 18493720 18642740 19173742 19286308 19664260 20328700 20343092 20507014 20516650 20637100 21076195 21199930 21912848 22361570 22971431 23097200 23113552 23117150 23303425 23319923 23447600 24087080 24107885 24580325 25406920 25428865 25556080 26099836 26253064 26265400 26419600 26495788 27391060 28091800 28891940 29061560 29679902 29854148 30108850 30130166 31758650 31945100 32624795 32816330 32826640 33119735 33721912 33751039 33919888 34238825 35753200 35778512 36097963 36114925 36295600 36326950 36987440 37285480 37317685 38347484 38572616 39328520 40657400 40686184 41014028 41033300 41274200 42152390 42399860 44723140 45942862 46234300 46367629 46606850 46639846 47934355 48174160 48215770 49160650 50813840 50857730 51267535 52199672 52244759 52506128 52530800 52991576 52999825 53037347 54782120 55903925 56183600 57783880 58123120 59359804 59708296 60217700 60260332 63517300 63890200 65249590 65632660 66239470 67443824 67502078 68046001 68477650 71774549 72195926 72229850 72653900 74199755 74570960 74635370 75325415 76694968 77145232 78657040 81314800 81372368 82028056 82040825 82066600 82098907 82548400 84304780 84799720 89446280 91885724 92468600 92735258 93213700 93279692 95868710 96431540 98321300 101715460 102535070 104399344 104489518 105380975 105455581 105983152 105999650 106074694 109564240 111807850 114857155 115567760 116599615 118719608 119416592 120435400 120520664 120539425 127034600 127144325 127780400 130499180 131265320 132478940 135004156 136092002 136955300 143549098 144391852 144459700 145307800 148399510 149270740 150650830 153389936 154759489 163123975 163239461 164056112 164081650 164133200 164197814 165598675 168609560 168755195 169599440 178892560 180489815 183771448 184937200 185470516 186427400 186559384 186588425 191737420 192863080 196642600 203430920 205070140 208979036 210761950 210911162 211999300 212149388 223615700 229714310 231838145 233199230 237439216 239559209 239671775 240870800 241041328 241078850 252685741 254069200 254288650 256337675 260998360 261223795 262530640 264957880 265186735 270008312 272184004 273910600 287098196 288783704 288919400 290615600 296799020 298541480 301301660 309518978 326247950 326478922 328163300 328395628 331197350 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3373518724 3375103900 3402300050 3404708758 3519751210 3588727450 3609796300 3709410320 3712614290 3742530055 3810576056 3813867407 3832947344 3834748400 3868987225 3871726331 4042971856 4080986525 4101402800 4104945350 4179580720 4216898405 4218223240 4242987760 4333265692 4358705608 4594286200 4597538792 4636762900 4663984600 4763220070 4791184180 4927651694 5053714820 5224475900 5239542077 5270302598 5272779050 5303734700 5416582115 5443680080 5448382010 5631601936 5741963920 5746923490 5903657767 5935980400 5940182864 5988048088 5988980225 5993220211 6026033200 6190379560 6317143525 6529578440 6567912560 6707657852 6747037448 6750207800 6804600100 6809417516 7039502420 7177454900 7219592600 7425228580 7485060110 7621152112 7627734814 7737974450 7743452662 8161973050 8209890700 8384572315 8433796810 8436446480 8511771895 8666531384 8717411216 8799378025 9188572400 9195077584 9273525800 9277176491 9281535725 9327969200 9526440140 9582368360 9855303388 10107429640 10448951800 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30510939256 30951897800 30973810648 32647892200 32839562800 33538289260 33735187240 34047087580 34975644514 35197512100 36892118186 37108705964 37126142900 37425300550 38105760560 38138674070 38717263310 39421213552 39773188673 41916336616 41922861575 41952541477 42162420784 42168984050 42182232400 42558859475 43332656920 43587056080 45975387920 46385882455 47229262136 47632200700 47665922612 47911841800 47945761688 49276516940 50537148200 52395420770 52703025980 54165821150 54204168634 54483820100 57469234900 59036577670 59582403265 59880480880 59932202110 61021878512 61566716713 61595646175 61903795600 61947621296 64940235437 65295784400 65878782475 67076578520 67470374480 68094175160 69951289028 70395024200 73784236372 74217411928 74252285800 74850601100 76277348140 77434526620 79546377346 83832673232 83845723150 83905082954 84337968100 85117718950 86665313840 87439111285 92230295465 92771764910 94458524272 95264401400 95331845224 95346685175 95823683600 95891523376 96793158275 98553033880 101074296400 104790841540 105406051960 108331642300 108408337268 108967640200 114938469800 118073155340 119164806530 119864404220 122414755799 123133433426 123191292350 129880470874 130988551925 131757564950 134153157040 135510421585 136188350320 139902578056 140790048400 147568472744 147591444175 148434823856 148504571600 149701202200 149830505275 152554696280 154869053240 159092754692 167691446300 167810165908 168675936200 170235437900 174878222570 184460590930 185543529820 190528802800 190663690448 190693370350 192366044827 193586316550 197106067760 198865943365 209581683080 209762707385 210812103920 216663284600 216816674536 217935280400 229876939600 231929412275 236146310680 238329613060 239728808440 244829511598 246266866852 246382584700 259760941748 261977103850 263515129900 271020843170 278412320711 279805156112 295136945488 295182888350 297912016325 299402404400 299661010550 305109392560 307833583565 309738106480 318185509384 324701177185 335382892600 335620331816 337351872400 340470875800 349756445140 368921181860 371087059640 381386740700 384732089654 387172633100 397731886730 419163366160 419525414770 430967016991 433326569200 433633349072 437195556425 437505075403 461151477325 463858824550 472292621360 476659226120 479457616880 489659023196 492533733704 492765169400 519521883496 523954207700 527030259800 542041686340 556824641422 590365776700 595824032650 599322021100 612073778995 615667167130 636371018768 649402354370 670765785200 671240663632 677233883843 677552107925 680941751600 699512890280 737842363720 742174119280 762773481400 769464179308 774345266200 795463773460 839050829540 861934033982 874391112850 875010150806 922302954650 927717649100 953318452240 961830224135 979318046392 985067467408 985530338800 994329716825 1039043766992 1047908415400 1048813536925 1054060519600 1084083372680 1113649282844 1180731553400 1191648065300 1198644042200 1224147557990 1231334334260 1298804708740 1346562313789 1354467767686 1355104215850 1392061603555 1399025780560 1475684727440 1525546962800 1538928358616 1539167917825 1548690532400 1590927546920 1623505885925 1678101659080 1723868067964 1748782225700 1750020301612 1844605909300 1855435298200 1923660448270 1958636092784 1988659433650 2095816830800 2097627073850 2154835084955 2168166745360 2187525377015 2227298565688 2361463106800 2383296130600 2397288084400 2448295115980 2462668668520 2597609417480 2693124627578 2708935535372 2710208431700 2784123207110 3060368894975 3062535527821 3077856717232 3078335835650 3181855093840 3247011771850 3356203318160 3386169419215 3447736135928 3497564451400 3500040603224 3689211818600 3710870596400 3847320896540 3977318867300 4195254147700 4309670169910 4375050754030 4454597131376 4494370320049 4740637186901 4766592261200 4809151120675 4896590231960 4925337337040 5195218834960 5386249255156 5417871070744 5420416863400 5568246414220 6120737789950 6125071055642 6156671671300 6494023543700 6732811568945 6772338838430 6895472271856 6960308017775 6995128902800 7000081206448 7378423637200 7694641793080 7954637734600 8390508295400 8619340339820 8750101508060 8988740640098 9481274373802 9618302241350 9793180463920 10772498510312 10774175424775 10835742141488 10840833726800 10937626885075 11136492828440 12241475579900 12250142111284 12313343342600 12988047087400 13465623137890 13544677676860 13920616035550 15312677639105 15389283586160 15909275469200 16781016590800 16930847096075 17238680679640 17500203016120 17977481280196 18962548747604 19236604482700 21544997020624 21548350849550 21875253770150 22272985656880 22471851600245 23703185934505 24482951159800 24500284222568 24626686685200 25976094174800 26931246275780 27089355353720 27841232071100 30625355278210 31460592240343 33664057844725 33861694192150 34477361359280 35000406032240 35954962560392 37925097495208 38473208965400 43096701699100 43750507540300 44943703200490 47406371869010 48965902319600 49000568445136 49438073520539 53862492551560 54178710707440 55682464142200 61250710556420 62921184480686 67328115689450 67723388384300 71909925120784 75850194990416 76563388195525 76946417930800 86193403398200 87501015080600 89887406400980 94812743738020 98876147041078 107724985103120 111364928284400 112359258001225 118515929672525 122501421112840 125842368961372 134656231378900 135446776768600 153126776391050 157302961201715 172386806796400 175002030161200 179774812801960 189625487476040 197752294082156 224718516002450 237031859345050 245002842225680 247190367602695 251684737922744 269312462757800 270893553537200 306253552782100 314605922403430 346066514643773 359549625603920 379250974952080 395504588164312 449437032004900 474063718690100 494380735205390 503369475845488 538624925515600 612507105564200 629211844806860 692133029287546 786514806008575 791009176328624 898874064009800 948127437380200 988761470410780 1225014211128400 1235951838013475 1258423689613720 1384266058575092 1573029612017150 1730332573218865 1797748128019600 1896254874760400 1977522940821560 2471903676026950 2516847379227440 2768532117150184 3146059224034300 3460665146437730 3955045881643120 4943807352053900 5537064234300368 6292118448068600 6921330292875460 8651662866094325 9887614704107800 12584236896137200 13842660585750920 17303325732188650 19775229408215600 27685321171501840 34606651464377300 69213302928754600 138426605857509200
- Sum of all divisors σ(n): 425800310833336608
- Sum of proper divisors (its aliquot sum) s(n): 287373704975827408
- 138426605857509200 is an abundant number, because the sum of its proper divisors (287373704975827408) is greater than itself. Its abundance is 148947099118318208
Bases of 138426605857509200
- Binary: 1111010111100101001000011101111011001100110001111010100002
- Hexadecimal: 0x1EBCA43BD998F50
- Base-36: 11V04WTUIF68
Squares and roots of 138426605857509200
- 138426605857509200 squared (1384266058575092002) is 19161925209230200359854028084640000
- 138426605857509200 cubed (1384266058575092003) is 2652520268409178455911193129749507586837178688000000
-
The
square root of 138426605857509200 is 372057261.5304117405 -
The
cube root of 138426605857509200 is 517296.8773277593
Scales and comparisons
How big is 138426605857509200?- 138,426,605,857,509,200 seconds is equal to 4,401,537,884 years, 34 weeks, 3 days, 11 hours, 13 minutes, 20 seconds.
-
To count from 1 to 138,426,605,857,509,200 would take you about thirteen billion, two hundred four million, six hundred thirteen thousand, six hundred fifty-three 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 138426605857509200 cubic inches would be around 43108.1 feet tall.
Recreational maths with 138426605857509200
- 138426605857509200 backwards is 002905758506624831
- The number of decimal digits it has is: 18
- The sum of 138426605857509200's digits is 71
- More coming soon!
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"Number 138426605857509200 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 138426605857509200 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138426605857509200/
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The information we have on file for 138426605857509200 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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