138036939893424
138,036,939,893,424 is an even composite number composed of six prime numbers multiplied together.
What does the number 138036939893424 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
138036939893424 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138036939893424:
24 × 33 × 112 × 13 × 59 × 1513
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 13 × 59 × 151 × 151 × 151)See below for interesting mathematical facts about the number 138036939893424 from the Numbermatics database.
Names of 138036939893424
- Cardinal: 138036939893424 can be written as One hundred thirty-eight trillion, thirty-six billion, nine hundred thirty-nine million, eight hundred ninety-three thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.38036939893424 × 1014
Factors of 138036939893424
Divisors of 138036939893424
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 59 66 72 78 88 99 104 108 117 118 121 132 143 144 151 156 176 177 198 208 216 234 236 242 264 286 297 302 312 351 354 363 396 429 432 453 468 472 484 528 531 572 594 604 624 649 702 708 726 767 792 858 906 936 944 968 1062 1089 1144 1188 1208 1287 1298 1359 1404 1416 1452 1534 1573 1584 1593 1661 1716 1812 1872 1936 1947 1963 2124 2178 2288 2301 2376 2416 2574 2596 2718 2808 2832 2904 3068 3146 3186 3267 3322 3432 3624 3861 3894 3926 4077 4248 4356 4602 4719 4752 4983 5148 5192 5436 5616 5808 5841 5889 6136 6292 6372 6534 6644 6864 6903 7139 7248 7722 7788 7852 8154 8437 8496 8712 8909 9204 9438 9966 10296 10384 10872 11682 11778 12272 12584 12744 13068 13288 13806 14157 14278 14949 15444 15576 15704 16308 16874 17424 17523 17667 17818 18271 18408 18876 19932 20592 20709 21417 21593 21744 22801 23364 23556 25168 25311 25488 26136 26576 26727 27612 28314 28556 29898 30888 31152 31408 32616 33748 35046 35334 35636 36542 36816 37752 39864 41418 42471 42834 43186 44847 45602 46728 47112 50622 52272 53001 53454 54813 55224 56628 57112 59796 61776 64251 64779 65232 67496 68403 70092 70668 71272 73084 75504 75933 79728 80181 82836 84942 85668 86372 89694 91204 92807 93456 94224 97999 101244 106002 106908 109626 110448 113256 114224 115817 119592 128502 129558 134992 136806 140184 141336 142544 146168 151866 160362 164439 165672 169884 171336 172744 179388 182408 185614 192753 194337 195998 202488 205209 212004 213816 219252 226512 227799 231634 237523 239184 240543 250811 257004 259116 273612 278421 280368 282672 292336 293997 296413 303732 320724 328878 331344 339768 342672 345488 347451 358776 364816 371228 385506 388674 391996 404976 410418 424008 427632 438504 455598 463268 475046 481086 493317 501622 514008 518232 547224 556842 583011 587994 592826 607464 615627 641448 657756 679536 694902 712569 717552 742456 752433 771012 777348 783992 820836 835263 848016 877008 881991 889239 911196 926536 950092 962172 986634 1003244 1028016 1036464 1042353 1077989 1094448 1113684 1166022 1175988 1185652 1214928 1231254 1273987 1282896 1315512 1345259 1389804 1425138 1484912 1504866 1542024 1554696 1567984 1641672 1670526 1763982 1778478 1822392 1853072 1900184 1924344 1973268 2006488 2084706 2137707 2155978 2227368 2257299 2332044 2351976 2371304 2462508 2505789 2547974 2631024 2645973 2667717 2690518 2758921 2779608 2850276 3009732 3084048 3109392 3127059 3233967 3260543 3283344 3341052 3442951 3527964 3556956 3644784 3800368 3821961 3848688 3946536 4012976 4035777 4169412 4275414 4311956 4454736 4514598 4664088 4703952 4742608 4925016 5011578 5095948 5291946 5335434 5381036 5517842 5559216 5700552 6019464 6254118 6413121 6467934 6521086 6682104 6771897 6885902 7055928 7113912 7643922 7893072 8003151 8071554 8276763 8338824 8550828 8623912 9029196 9328176 9701901 9781629 9850032 10023156 10191896 10328853 10583892 10670868 10762072 11035684 11401104 11465883 12038928 12107331 12508236 12826242 12935868 13042172 13364208 13543794 13771804 14013857 14111856 14227824 14797849 15287844 16006302 16143108 16553526 16677648 17101656 17247824 17488367 18058392 19403802 19563258 20046312 20383792 20657706 21167784 21341736 21524144 22071368 22931766 24214662 24830289 25016472 25652484 25871736 26084344 27087588 27543608 28027714 29105703 29344887 29595698 30575688 30986559 32012604 32286216 33107052 34203312 34397649 34976734 35865973 36116784 36321993 37872461 38807604 39126516 40092624 41315412 42041571 42335568 42683472 44142736 44393547 44758363 45863532 48429324 49660578 50032944 51304968 51743472 52168688 52465101 54175176 55087216 56055428 58211406 58689774 59191396 61151376 61973118 64025208 64572432 66214104 68795298 69953468 71731946 72643986 74490867 75744922 77615208 78253032 82630824 84083142 88034661 88787094 89516726 91727064 92959677 96858648 99321156 102609936 104930202 107597919 108350352 112110856 113617383 116422812 117379548 118382792 123946236 126124713 128050416 132428208 133180641 134275089 137590596 139906936 143463892 145287972 148981734 151489844 155230416 156506064 157395303 162776339 165261648 168166284 176069322 177574188 179033452 183454128 185919354 192372037 193717296 198642312 203134109 209860404 215195838 224221712 227234766 232845624 234759096 236765584 247892472 252249426 266361282 268550178 275181192 279813872 286927784 290575944 297963468 302979688 314790606 322793757 325552678 336332568 340852149 352138644 355148376 358066904 371838708 378374139 384744074 397284624 399541923 402825267 406268218 416597071 419720808 430391676 454469532 465691248 469518192 472185909 488329017 492341993 495784944 504498852 532722564 537100356 550362384 573855568 577116111 581151888 595926936 605959376 609402327 629581212 645587514 651105356 672665136 681704298 704277288 710296752 716133808 743677416 756748278 769488148 799083846 805650534 812536436 833194142 839441616 860783352 908939064 944371818 968381271 976658034 984683986 1008997704 1022556447 1065445128 1074200712 1154232222 1191853872 1208475801 1218804654 1249791213 1259162424 1291175028 1302210712 1363408596 1408554576 1464987051 1477025979 1487354832 1513496556 1538976296 1598167692 1611301068 1625072872 1666388284 1721566704 1731348333 1817878128 1828206981 1888743636 1936762542 1953316068 1969367972 2017995408 2045112894 2116092407 2130890256 2148401424 2234475199 2308464444 2416951602 2437609308 2499582426 2518324848 2582350056 2604421424 2640743417 2726817192 2929974102 2954051958 3026993112 3077952592 3196335384 3222602136 3250145744 3332776568 3462696666 3656413962 3749373639 3777487272 3873525084 3906632136 3938735944 4090225788 4232184814 4394961153 4431077937 4468950398 4616928888 4833903204 4875218616 4999164852 5164700112 5194044999 5281486834 5415761923 5453634384 5484620943 5859948204 5908103916 6053986224 6348277221 6392670768 6445204272 6665553136 6703425597 6925393332 7312827924 7498747278 7554974544 7747050168 7813264272 7877471888 7922230251 8180451576 8464369628 8789922306 8862155874 8937900796 9233857776 9667806408 9750437232 9998329704 10388089998 10562973668 10831523846 10969241886 11248120917 11719896408 11816207832 12696554442 13293233811 13406851194 13850786664 14625655848 14997494556 15494100336 15844460502 16247285769 16360903152 16928739256 17579844612 17724311748 17875801592 19044831663 19335612816 19996659408 20110276791 20776179996 21125947336 21663047692 21938483772 22496241834 23439792816 23632415664 23766690753 24579227189 25393108884 26586467622 26813702388 27701573328 29048177587 29251311696 29994989112 31688921004 32494571538 33857478512 35159689224 35448623496 35751603184 38089663326 40220553582 41552359992 42251894672 43326095384 43876967544 44992483668 47533381506 48741857307 49158454378 50786217768 53172935244 53627404776 57134494989 58096355174 59989978224 60330830373 63377842008 64989143076 70319378448 70897246992 71300072259 73737681567 76179326652 80441107164 83104719984 86652190768 87144532761 87753935088 89984967336 95066763012 97483714614 98316908756 101572435536 106345870488 107254809552 114268989978 116192710348 120661660746 126755684016 129978286152 142600144518 146225571921 147475363134 152358653304 160882214328 174289065522 179969934672 190133526024 194967429228 196633817512 212691740976 221213044701 228537979956 232385420696 241323321492 259956572304 261433598283 285200289036 292451143842 294950726268 304717306608 319529953457 321764428656 348578131044 380267052048 389934858456 393267635024 442426089402 457075959912 464770841392 482646642984 522867196566 570400578072 584902287684 589901452536 639059906914 663639134103 697156262088 779869716912 784300794849 884852178804 914151919824 958589860371 965293285968 1045734393132 1140801156144 1169804575368 1179802905072 1278119813828 1327278268206 1394312524176 1568601589698 1769704357608 1917179720742 2091468786264 2339609150736 2556239627656 2654556536412 2875769581113 3137203179396 3539408715216 3834359441484 4182937572528 5112479255312 5309113072824 5751539162226 6274406358792 7668718882968 8627308743339 10618226145648 11503078324452 12548812717584 15337437765936 17254617486678 23006156648904 34509234973356 46012313297808 69018469946712 138036939893424
- Sum of all divisors σ(n): 480141385651200
- Sum of proper divisors (its aliquot sum) s(n): 342104445757776
- 138036939893424 is an abundant number, because the sum of its proper divisors (342104445757776) is greater than itself. Its abundance is 204067505864352
Bases of 138036939893424
- Binary: 111110110001011001110101100010010101010101100002
- Hexadecimal: 0x7D8B3AC4AAB0
- Base-36: 1CXHAM05O0
Squares and roots of 138036939893424
- 138036939893424 squared (1380369398934242) is 19054196775140750176478443776
- 138036939893424 cubed (1380369398934243) is 2630183014967577148158143763992718816129024
-
The
square root of 138036939893424 is 11748912.2855447347 -
The
cube root of 138036939893424 is 51681.1030401205
Scales and comparisons
How big is 138036939893424?- 138,036,939,893,424 seconds is equal to 4,389,147 years, 37 weeks, 6 hours, 50 minutes, 24 seconds.
-
To count from 1 to 138,036,939,893,424 would take you about ten million, nine hundred seventy-two thousand, eight hundred sixty-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 138036939893424 cubic inches would be around 4306.8 feet tall.
Recreational maths with 138036939893424
- 138036939893424 backwards is 424398939630831
- 138036939893424 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138036939893424's digits is 72
- More coming soon!
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The information we have on file for 138036939893424 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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