138731143311540
138,731,143,311,540 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138731143311540 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
138731143311540 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138731143311540:
22 × 35 × 5 × 13 × 19 × 31 × 281 × 13267
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 19 × 31 × 281 × 13267)See below for interesting mathematical facts about the number 138731143311540 from the Numbermatics database.
Names of 138731143311540
- Cardinal: 138731143311540 can be written as One hundred thirty-eight trillion, seven hundred thirty-one billion, one hundred forty-three million, three hundred eleven thousand, five hundred forty.
Scientific notation
- Scientific notation: 1.3873114331154 × 1014
Factors of 138731143311540
Divisors of 138731143311540
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 27 30 31 36 38 39 45 52 54 57 60 62 65 76 78 81 90 93 95 108 114 117 124 130 135 155 156 162 171 180 186 190 195 228 234 243 247 260 270 279 281 285 310 324 342 351 372 380 390 403 405 465 468 486 494 513 540 558 562 570 585 589 620 684 702 741 780 806 810 837 843 855 930 972 988 1026 1053 1116 1124 1140 1170 1178 1209 1215 1235 1395 1404 1405 1482 1539 1612 1620 1674 1686 1710 1755 1767 1860 2015 2052 2106 2223 2340 2356 2418 2430 2470 2511 2529 2565 2790 2810 2945 2964 3078 3159 3348 3372 3420 3510 3534 3627 3653 3705 4030 4185 4212 4215 4446 4617 4836 4860 4940 5022 5058 5130 5265 5301 5339 5580 5620 5890 6045 6156 6318 6669 7020 7068 7254 7306 7410 7533 7587 7657 7695 8060 8370 8430 8711 8835 8892 9234 10044 10116 10260 10530 10602 10678 10881 10959 11115 11780 12090 12555 12636 12645 13267 13338 14508 14612 14820 15066 15174 15314 15390 15795 15903 16017 16740 16860 17422 17670 18135 18265 18468 20007 21060 21204 21356 21762 21918 22230 22761 22971 23085 24180 25110 25290 26133 26505 26534 26676 26695 30132 30348 30628 30780 31590 31806 32034 32643 32877 33345 34844 35340 36270 36530 37665 37935 38285 39801 40014 43524 43555 43836 44460 45522 45942 46170 47709 48051 50220 50580 52266 53010 53068 53390 54405 54795 60021 63180 63612 64068 65286 65754 66335 66690 68283 68913 69407 72540 73060 75330 75870 76570 78399 79515 79602 80028 80085 87110 91044 91884 92340 95418 96102 97929 98631 100035 104532 106020 106780 108810 109590 113243 113805 114855 119403 120042 130572 130665 131508 132670 133380 136566 137826 138814 143127 144153 150660 151740 153140 156798 159030 159204 160170 163215 164385 165509 172471 174220 190836 192204 195858 197262 199005 200070 206739 208221 217620 219180 226486 227610 229710 235197 238545 238806 240084 240255 252073 261330 265340 273132 275652 277628 286254 288306 295893 300105 313596 318060 320340 326430 328770 331018 339729 341415 344565 344942 347035 358209 391716 391995 394524 398010 400140 411277 413478 416442 432459 452972 455220 459420 470394 477090 477612 480510 489645 493155 496527 504146 517413 522660 566215 572508 576612 591786 597015 600210 620217 624663 652860 657540 662036 679458 682830 689130 689884 694070 705591 715635 716418 720765 756219 783990 796020 822554 826956 827545 832884 862355 864918 887679 940788 954180 961020 979290 986310 993054 1008292 1019187 1033695 1034826 1041105 1074627 1132430 1175985 1183572 1194030 1200420 1233831 1240434 1249326 1260365 1297377 1358916 1365660 1378260 1388140 1411182 1431270 1432836 1441530 1479465 1489581 1512438 1552239 1567980 1645108 1655090 1698645 1724710 1729836 1775358 1791045 1860651 1873989 1958580 1972620 1986108 2038374 2056385 2067390 2069652 2082210 2116773 2149254 2151617 2162295 2264860 2268657 2351970 2388060 2467662 2480868 2482635 2498652 2520730 2587065 2594754 2822364 2862540 2883060 2958930 2979162 3024876 3057561 3101085 3104478 3123315 3223881 3276949 3310180 3397290 3449420 3527955 3550716 3582090 3701493 3721302 3728027 3747978 3781095 4076748 4112770 4134780 4164420 4233546 4298508 4303234 4324590 4438395 4468743 4537314 4656717 4703940 4935324 4965270 5041460 5095935 5174130 5189508 5346601 5373135 5621967 5917860 5958324 6115122 6169155 6202170 6208956 6246630 6447762 6454851 6486885 6553898 6794580 6805971 7055910 7164180 7402986 7442604 7447905 7456054 7495956 7562190 7761195 7814263 8225540 8467092 8606468 8649180 8876790 8937486 9074628 9172683 9303255 9313434 9369945 9830847 9930540 10191870 10348260 10583865 10693202 10746270 10758085 11104479 11184081 11243934 11343285 12230244 12338310 12404340 12493260 12895524 12909702 12973770 13107796 13406229 13611942 13970151 14111820 14805972 14895810 14912108 15124380 15287805 15522390 15628526 16039803 16119405 16384745 16865901 17753580 17874972 18345366 18507465 18606510 18626868 18640135 18739890 19364553 19661694 20383740 20417913 21167730 21386404 21492540 21516170 22208958 22343715 22368162 22487868 22686570 23283585 23442789 24676620 25819404 25947540 26733005 26812458 27223884 27518049 27940302 28109835 29492541 29791620 30575610 31044780 31257052 32079606 32238810 32274255 32769490 33313437 33552243 33731802 34029855 36690732 37014930 37213020 37280270 37479780 38729106 39071315 39323388 40218687 40835826 41910453 42335460 43032340 44417916 44687430 44736324 45373140 45863415 46567170 46885578 48119409 48464351 49154235 53466010 53624916 55036098 55522395 55880604 55920405 56219670 58093659 58985082 61151220 61253739 64159212 64477620 64548510 65538980 66626874 67031145 67104486 67463604 68059710 69850755 70328367 70832513 74029860 74560540 77458212 78142630 80199015 80437374 81671652 83820906 84329505 88477623 89374860 91726830 93134340 93771156 96238818 96822765 96928702 98308470 99940311 100656729 101585419 102089565 106932020 110072196 111044790 111840810 112439340 115568837 116187318 117213945 117970164 122507478 129097020 133253748 134062290 134208972 136119420 137590245 139701510 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843940404 849990156 866149362 871404885 872358318 884776230 905910561 914268771 920822669 962388180 969287020 999403110 1006567290 1015854190 1040119533 1045685862 1054925505 1061731476 1062487695 1155688370 1161873180 1207880748 1219025028 1225074780 1265910606 1274985234 1299224043 1308537477 1327164345 1386826044 1406567340 1416650260 1443582270 1453930530 1502394881 1509850935 1523781285 1592597214 1732298724 1733532555 1742809770 1744716636 1769552460 1811821122 1828537542 1841645338 1898865909 1912477851 1998806220 2013134580 2031708380 2080239066 2091371724 2109851010 2124975390 2165373405 2180895795 2195807903 2311376740 2531821212 2549970468 2598448086 2614214655 2617074954 2654328690 2742806313 2762468007 2887164540 2907861060 3004789762 3019701870 3047562570 3120358599 3164776515 3185194428 3187463085 3467065110 3485619540 3623642244 3657075084 3683290676 3797731818 3824955702 3925612431 3981493035 4160478132 4219702020 4249950780 4330746810 4361791590 4391615806 4507184643 4529552805 4571343855 4604113345 5196896172 5200597665 5228429310 5234149908 5308657380 5485612626 5524936014 5737433553 6009579524 6039403740 6095125140 6240717198 6329553030 6374926170 6496120215 6542687385 6587423709 6934130220 7511974405 7595463636 7649911404 7851224862 7962986070 8228418939 8287404021 8661493620 8723583180 8783231612 9014369286 9059105610 9142687710 9208226690 9361075797 9494329545 9562389255 10401195330 10456858620 10971225252 10979039515 11049872028 11474867106 11776837293 12481434396 12659106060 12749852340 12992240430 13085374770 13174847418 13521553929 13714031565 13812340035 15023948810 15601792995 15702449724 15925972140 16456837878 16574808042 17212300659 18028738572 18118211220 18285375420 18416453380 18722151594 18988659090 19124778510 19628062155 19762271127 20802390660 21958079030 22535923215 22949734212 23553674586 24685256817 24862212063 25984480860 26170749540 26349694836 27043107858 27428063130 27624680070 28083227391 28545502739 28687167765 30047897620 31203585990 32913675756 32937118545 33149616084 34424601318 37444303188 37977318180 38249557020 39256124310 39524542254 40564661787 41142094695 41437020105 43916158060 45071846430 46805378985 47107349172 49370513634 49724424126 54086215716 54856126260 55249360140 56166454782 57091005478 57374335530 58884186465 59286813381 62407171980 65874237090 67607769645 68849202636 74586636189 78512248620 79049084508 81129323574 82284189390 82874040210 85636508217 86061503295 90143692860 93610757970 98741027268 98811355635 99448848252 112332909564 114182010956 114748671060 117768372930 118573626762 121693985361 123426284085 124311060315 131748474180 135215539290 140416136955 142727513695 149173272378 162258647148 164568378780 165748080420 171273016434 172123006590 177860440143 187221515940 197622711270 202823308935 223759908567 235536745860 237147253524 243387970722 246852568170 248622120630 256909524651 270431078580 280832273910 285455027390 296434066905 298346544756 342546032868 344246013180 355720880286 365081956083 372933180945 395245422540 405646617870 428182541085 447519817134 486775941444 493705136340 497244241260 513819049302 533581320429 561664547820 570910054780 592868133810 608469926805 711441760572 730163912166 745866361890 770728573953 811293235740 856365082170 889302200715 895039634268 1027638098604 1067162640858 1118799542835 1185736267620 1216939853610 1284547623255 1460327824332 1491732723780 1541457147906 1712730164340 1778604401430 1825409780415 2134325281716 2237599085670 2312185721859 2433879707220 2569095246510 2667906602145 3082914295812 3557208802860 3650819560830 3853642869765 4475198171340 4624371443718 5138190493020 5335813204290 6936557165577 7301639121660 7707285739530 9248742887436 10671626408580 11560928609295 13873114331154 15414571479060 23121857218590 27746228662308 34682785827885 46243714437180 69365571655770 138731143311540
- Sum of all divisors σ(n): 512522876436480
- Sum of proper divisors (its aliquot sum) s(n): 373791733124940
- 138731143311540 is an abundant number, because the sum of its proper divisors (373791733124940) is greater than itself. Its abundance is 235060589813400
Bases of 138731143311540
- Binary: 111111000101100110111001000010000110000101101002
- Hexadecimal: 0x7E2CDC8430B4
- Base-36: 1D6C7GSN90
Squares and roots of 138731143311540
- 138731143311540 squared (1387311433115402) is 19246330124527049677497171600
- 138731143311540 cubed (1387311433115403) is 2670065382726971623172121051862607640264000
-
The
square root of 138731143311540 is 11778418.5403448797 -
The
cube root of 138731143311540 is 51767.5949177963
Scales and comparisons
How big is 138731143311540?- 138,731,143,311,540 seconds is equal to 4,411,221 years, 12 weeks, 1 day, 1 hour, 39 minutes.
-
To count from 1 to 138,731,143,311,540 would take you about eleven million, twenty-eight thousand and 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 138731143311540 cubic inches would be around 4314 feet tall.
Recreational maths with 138731143311540
- 138731143311540 backwards is 045113341137831
- 138731143311540 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138731143311540's digits is 45
- More coming soon!
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The information we have on file for 138731143311540 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 138731143311540, math, Factors of 138731143311540, curriculum, school, college, exams, university, Prime factorization of 138731143311540, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, seven hundred thirty-one billion, one hundred forty-three million, three hundred eleven thousand, five hundred forty.