138126418365000
138,126,418,365,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138126418365000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1200 divisors.
138126418365000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 138126418365000:
23 × 3 × 54 × 132 × 314 × 59
(2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 13 × 13 × 31 × 31 × 31 × 31 × 59)See below for interesting mathematical facts about the number 138126418365000 from the Numbermatics database.
Names of 138126418365000
- Cardinal: 138126418365000 can be written as One hundred thirty-eight trillion, one hundred twenty-six billion, four hundred eighteen million, three hundred sixty-five thousand.
Scientific notation
- Scientific notation: 1.38126418365 × 1014
Factors of 138126418365000
Divisors of 138126418365000
- Number of divisors d(n): 1200
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 31 39 40 50 52 59 60 62 65 75 78 93 100 104 118 120 124 125 130 150 155 156 169 177 186 195 200 236 248 250 260 295 300 310 312 325 338 354 372 375 390 403 465 472 500 507 520 590 600 620 625 650 676 708 744 750 767 775 780 806 845 885 930 961 975 1000 1014 1180 1209 1240 1250 1300 1352 1416 1475 1500 1534 1550 1560 1612 1625 1690 1770 1829 1860 1875 1922 1950 2015 2028 2301 2325 2360 2418 2500 2535 2600 2883 2950 3000 3068 3100 3224 3250 3380 3540 3658 3720 3750 3835 3844 3875 3900 4030 4056 4225 4425 4602 4650 4805 4836 4875 5000 5070 5239 5487 5766 5900 6045 6136 6200 6500 6760 7080 7316 7375 7500 7670 7688 7750 7800 8060 8125 8450 8850 9145 9204 9300 9610 9672 9750 9971 10075 10140 10478 10974 11505 11532 11625 11800 12090 12493 12675 13000 14415 14632 14750 15000 15340 15500 15717 16120 16250 16900 17700 18290 18408 18600 19175 19220 19375 19500 19942 20150 20280 20956 21125 21948 22125 23010 23064 23250 23777 24025 24180 24375 24986 25350 26195 27435 28830 29500 29791 29913 30225 30680 31000 31434 32500 33800 35400 36580 36875 37479 38350 38440 38750 39000 39884 40300 41912 42250 43896 44250 45725 46020 46500 47554 48050 48360 48750 49855 49972 50375 50700 52390 54870 56699 57525 57660 58125 59000 59582 59826 60450 62465 62868 63375 65000 71331 72075 73160 73750 74958 76700 77500 78585 79768 80600 84500 88500 89373 91450 92040 93000 95108 95875 96100 97500 99710 99944 100750 101400 104780 105625 109740 110625 113398 115050 115320 116250 118885 119164 119652 120125 120900 124930 125736 126750 130975 137175 142662 144150 147500 148955 149565 149916 151125 153400 155000 157170 162409 169000 170097 177000 178746 182900 187395 190216 191750 192200 195000 199420 201500 209560 211250 219480 221250 226796 228625 230100 232500 237770 238328 239304 240250 241800 249275 249860 251875 253500 261950 274350 283495 285324 287625 288300 295000 297910 299130 299832 302250 309101 312325 314340 316875 324818 340194 356655 357492 360375 365800 374790 383500 387283 392925 398840 403000 422500 442500 446865 453592 457250 460200 465000 475540 479375 480500 487227 498550 499720 503750 507000 523900 548700 566990 570648 575250 576600 594425 595820 598260 600625 604500 618202 624650 628680 633750 649636 654875 680388 685875 713310 714984 720750 737087 744775 747825 749580 755625 767000 774566 785850 812045 845000 850485 885000 893730 914500 923521 927303 936975 951080 958750 961000 974454 997100 1007500 1047800 1097400 1133980 1143125 1150500 1161849 1188850 1191640 1196520 1201250 1209000 1236404 1246375 1249300 1267500 1299272 1309750 1360776 1371750 1417475 1426620 1438125 1441500 1474174 1489550 1495650 1499160 1511250 1545505 1549132 1561625 1571700 1624090 1700970 1757669 1783275 1787460 1801875 1829000 1847042 1854606 1873950 1917500 1936415 1948908 1964625 1994200 2015000 2211261 2234325 2267960 2286250 2301000 2323698 2377700 2402500 2436135 2472808 2492750 2498600 2535000 2619500 2743500 2770563 2834950 2853240 2876250 2883000 2948348 2972125 2979100 2991300 3022500 3091010 3098264 3123250 3143400 3248180 3274375 3401940 3429375 3515338 3566550 3574920 3603750 3685435 3694084 3709212 3723875 3739125 3747900 3835000 3872830 3897816 3929250 4060225 4252425 4422522 4468650 4572500 4617605 4636515 4647396 4684875 4755400 4805000 4872270 4985500 5034679 5239000 5273007 5487000 5541126 5669900 5752500 5809245 5896696 5944250 5958200 5982600 6045000 6182020 6231875 6246500 6496360 6548750 6803880 6858750 7030676 7087375 7133100 7207500 7370870 7388168 7418424 7447750 7478250 7495800 7727525 7745660 7808125 7858500 8120450 8504850 8788345 8845044 8916375 8937300 9145000 9235210 9273030 9294792 9369750 9582131 9682075 9744540 9823125 9971000 10069358 10546014 11056305 11082252 11171625 11339800 11505000 11618490 11888500 12005773 12180675 12364040 12463750 12493000 13097500 13717500 13852815 14061352 14174750 14266200 14415000 14741740 14860625 14895500 14956500 15104037 15455050 15491320 15616250 15717000 16240900 17009700 17576690 17690088 17832750 17874600 18427175 18470420 18546060 18619375 18695625 18739500 19164262 19364150 19489080 19646250 20138716 20301125 21092028 21262125 22112610 22164504 22343250 22849697 23088025 23182575 23236980 23424375 23777000 24011546 24361350 24927500 25173395 26195000 26365035 27435000 27705630 28349500 28746393 29046225 29483480 29721250 29791000 29913000 30208074 30910100 31232500 32481800 34019400 35153380 35436875 35665500 36017319 36854350 36940840 37092120 37238750 37391250 37479000 38328524 38637625 38728300 39292500 40277432 40602250 42184056 42524250 43941725 44225220 44581875 44686500 45699394 46176050 46365150 46473960 46848750 47910655 48023092 48410375 48722700 49855000 50346790 52730070 54487739 55281525 55411260 55858125 56699000 57492786 58092450 59442500 60028865 60416148 60903375 61820200 62465000 68549091 69264075 70306760 70873750 71331000 72034638 73708700 74477500 74782500 75520185 76657048 77275250 77456600 78585000 81204500 85048500 87883450 88450440 89163750 89373000 91398788 92135875 92352100 92730300 93697500 95821310 96046184 96820750 97445400 100693580 101505625 105460140 106310625 108975478 110563050 110822520 111716250 114248485 114985572 115440125 115912875 116184900 118885000 120057730 120832296 121806750 125866975 131825175 137098182 138528150 141747500 143731965 144069276 145231125 147417400 148955000 149565000 151040370 154550500 156075049 162409000 163463217 170097000 175766900 178327500 180086595 182797576 184271750 184704200 185460600 187395000 191642620 193188125 193641500 201387160 203011250 210920280 212621250 217950956 219708625 221126100 223432500 228496970 229971144 230880250 231825750 232369800 239553275 240115460 242051875 243613500 251733950 263650350 272438695 274196364 276407625 277056300 283495000 287463930 288138552 290462250 297046061 300144325 302080740 304516875 309101000 312150098 326926434 342745455 346320375 351533800 356655000 360173190 368543500 377600925 383285240 386376250 387283000 406022500 425242500 435901912 439417250 442252200 446865000 456993940 460679375 461760500 463651500 468225147 479106550 480230920 484103750 487227000 503467900 527300700 544877390 548392728 552815250 554112600 571242425 574927860 577200625 579564375 580924500 594092122 600288650 604161480 609033750 624300196 629334875 653852868 659125875 685490910 692640750 708340607 718659825 720346380 726155625 737087000 755201850 772752500 780375245 812045000 817316085 850485000 878834500 891138183 900432975 913987880 921358750 923521000 927303000 936450294 958213100 968207500 1006935800 1054601400 1089754780 1098543125 1105630500 1142484850 1149855720 1154401250 1159128750 1161849000 1188184244 1197766375 1200577300 1218067500 1248600392 1258669750 1307705736 1318251750 1362193475 1370981820 1382038125 1385281500 1416681214 1437319650 1440692760 1452311250 1485230305 1500721625 1510403700 1545505000 1560750490 1634632170 1713727275 1731601875 1757669000 1782276366 1800865950 1842717500 1872900588 1888004625 1916426200 1936415000 2125021821 2179509560 2197086250 2211261000 2284969700 2308802500 2318257500 2341125735 2376368488 2395532750 2401154600 2436135000 2517339500 2636503500 2724386950 2741963640 2764076250 2770563000 2833362428 2856212125 2874639300 2904622500 2970460610 3001443250 3020807400 3121500980 3146674375 3269264340 3295629375 3427454550 3463203750 3541703035 3564552732 3593299125 3601731900 3685435000 3745801176 3776009250 3901876225 4086580425 4250043642 4394172500 4455690915 4502164875 4569939400 4617605000 4636515000 4682251470 4791065500 5034679000 5273007000 5448773900 5528152500 5666724856 5712424250 5749278600 5809245000 5940921220 5988831875 6002886500 6243001960 6293348750 6538528680 6591258750 6810967375 6854909100 6926407500 7083406070 7129105464 7186598250 7203463800 7426151525 7503608125 7552018500 7803752450 8173160850 8500087284 8568636375 8788345000 8911381830 9004329750 9208427891 9364502940 9440023125 9582131000 10625109105 10897547800 11056305000 11424848500 11705628675 11881842440 11977663750 12005773000 12586697500 13182517500 13621934750 13709818200 13852815000 14166812140 14281060625 14373196500 14852303050 15007216250 15104037000 15607504900 16346321700 17000174568 17137272750 17708515175 17822763660 17966495625 18008659500 18416855782 18729005880 18880046250 19509381125 20432902125 21250218210 22278454575 22510824375 22849697000 23411257350 23955327500 25173395000 26365035000 27243869500 27625283673 28333624280 28562121250 28746393000 29704606100 30014432500 31215009800 32692643400 34054836875 34274545500 35417030350 35645527320 35932991250 36017319000 36833711564 37130757625 37760092500 39018762250 40865804250 42500436420 42843181875 44556909150 45021648750 46042139455 46822514700 47910655000 53125545525 54487739000 55250567346 57124242500 58528143375 59409212200 60028865000 68109673750 68549091000 70834060700 71865982500 73667423128 74261515250 75520185000 78037524500 81731608500 85000872840 85686363750 88542575875 89113818300 90043297500 92084278910 93645029400 97546905625 102164510625 106251091050 110501134692 111392272875 114248485000 117056286750 136219347500 138126418365 141668121400 143731965000 148523030500 156075049000 163463217000 171372727500 177085151750 178227636600 180086595000 184168557820 185653788125 195093811250 204329021250 212502182100 221002269384 222784545750 230210697275 234112573500 265627727625 272438695000 276252836730 292640716875 297046061000 342745455000 354170303500 368337115640 371307576250 390187622500 408658042500 425004364200 442712879375 445569091500 460421394550 468225147000 531255455250 552505673460 556961364375 585281433750 690632091825 708340607000 742615152500 780375245000 817316085000 885425758750 891138183000 920842789100 1062510910500 1105011346920 1113922728750 1151053486375 1170562867500 1328138638125 1381264183650 1485230305000 1770851517500 1841685578200 2125021821000 2227845457500 2302106972750 2341125735000 2656277276250 2762528367300 3453160459125 3541703035000 4455690915000 4604213945500 5312554552500 5525056734600 5755267431875 6906320918250 9208427891000 10625109105000 11510534863750 13812641836500 17265802295625 23021069727500 27625283673000 34531604591250 46042139455000 69063209182500 138126418365000
- Sum of all divisors σ(n): 491011680654000
- Sum of proper divisors (its aliquot sum) s(n): 352885262289000
- 138126418365000 is an abundant number, because the sum of its proper divisors (352885262289000) is greater than itself. Its abundance is 214758843924000
Bases of 138126418365000
- Binary: 111110110100000000100000001100111001010010010002
- Hexadecimal: 0x7DA01019CA48
- Base-36: 1CYMEF6C7C
Squares and roots of 138126418365000
- 138126418365000 squared (1381264183650002) is 19078907450343009273225000000
- 138126418365000 cubed (1381264183650003) is 2635301152433193961626550942777125000000000
-
The
square root of 138126418365000 is 11752719.6156889577 -
The
cube root of 138126418365000 is 51692.2675570797
Scales and comparisons
How big is 138126418365000?- 138,126,418,365,000 seconds is equal to 4,391,992 years, 44 weeks, 1 day, 17 hours, 50 minutes.
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To count from 1 to 138,126,418,365,000 would take you about ten million, nine hundred seventy-nine thousand, nine hundred eighty-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 138126418365000 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138126418365000
- 138126418365000 backwards is 000563814621831
- The number of decimal digits it has is: 15
- The sum of 138126418365000's digits is 48
- More coming soon!
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The information we have on file for 138126418365000 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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