138217190850432

Names of 138217190850432

• Cardinal: 138217190850432 can be written as One hundred thirty-eight trillion, two hundred seventeen billion, one hundred ninety million, eight hundred fifty thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 1.38217190850432 × 10¹⁴

Factors of 138217190850432

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 4056

Divisors of 138217190850432

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 41 48 57 61 64 72 76 82 96 114 122 123 128 144 152 164 171 183 192 228 244 246 288 304 328 342 366 369 384 456 488 492 549 576 608 656 684 732 738 779 809 912 976 984 1098 1152 1159 1216 1312 1368 1464 1476 1558 1618 1824 1952 1968 2196 2318 2337 2427 2432 2501 2624 2736 2928 2952 3116 3121 3236 3477 3648 3904 3936 4392 4636 4674 4854 5002 5248 5472 5856 5904 6232 6242 6472 6954 7011 7281 7296 7503 7808 7872 8784 9272 9348 9363 9708 10004 10431 10944 11712 11808 12464 12484 12944 13908 14022 14562 15006 15371 15744 17568 18544 18696 18726 19416 20008 20862 21888 22509 23424 23616 24928 24968 25888 27816 28044 28089 29124 30012 30742 33169 35136 37088 37392 37452 38832 40016 41724 45018 46113 47232 47519 49349 49856 49936 51776 55632 56088 56178 58248 59299 60024 61484 66338 70272 74176 74784 74904 77664 80032 83448 90036 92226 95038 98698 99507 99712 99872 103552 111264 112176 112356 116496 118598 120048 122968 127961 132676 138339 142557 148047 148352 149568 149808 155328 160064 166896 177897 180072 184452 190076 190381 197396 199014 199744 222528 224352 224712 232992 237196 240096 245936 255922 265352 276678 285114 296094 298521 299136 299616 310656 320128 333792 355794 360144 368904 380152 380762 383883 394792 398028 399488 427671 444141 445056 448704 449424 465984 474392 480192 491872 511844 530704 533691 553356 570228 571143 592188 597042 599232 630211 667584 711588 720288 737808 760304 761524 767766 789584 796056 855342 888282 897408 898848 931968 937631 948784 960384 983744 1023688 1061408 1067382 1106712 1140456 1142286 1151649 1184376 1194084 1198464 1260422 1335168 1423176 1440576 1475616 1520608 1523048 1535532 1579168 1592112 1710684 1713429 1776564 1797696 1875262 1890633 1897568 1967488 2023309 2047376 2122816 2134764 2213424 2280912 2284572 2303298 2368752 2388168 2431259 2520844 2524889 2812893 2846352 2881152 2951232 3041216 3046096 3071064 3158336 3184224 3421368 3426858 3553128 3595392 3617239 3750524 3781266 3795136 4046618 4094752 4245632 4269528 4426848 4561824 4569144 4606596 4737504 4776336 4862518 5041688 5049778 5625786 5671899 5692704 5902464 6069927 6082432 6092192 6142128 6316672 6368448 6842736 6853716 7106256 7234478 7293777 7501048 7562532 7574667 7590272 7805621 8093236 8189504 8438679 8539056 8853696 9123648 9138288 9213192 9475008 9552672 9725036 10083376 10099556 10851717 11251572 11343798 11385408 12139854 12184384 12284256 12736896 13685472 13707432 14212512 14468956 14587554 15002096 15125064 15149334 15611242 16186472 16379008 16877358 17078112 17707392 18209781 18247296 18276576 18426384 18950016 19105344 19450072 20166752 20199112 21703434 21881331 22503144 22687596 22724001 22770816 23416863 24279708 24368768 24568512 27370944 27414864 28425024 28937912 29175108 30004192 30250128 30298668 31222484 32372944 32555151 33754716 34156224 36419562 36553152 36852768 38210688 38442871 38900144 40333504 40398224 43406868 43762662 45006288 45375192 45448002 46833726 47972891 48559416 49137024 54741888 54829728 56850048 57875824 58350216 60008384 60500256 60597336 62444968 64745888 65110302 67509432 68312448 70250589 72839124 73106304 73705536 76885742 77800288 80667008 80796448 86813736 87525324 90012576 90750384 90896004 93667452 95945782 97118832 103520449 109659456 115328613 115751648 116700432 120016768 121000512 121194672 124889936 129491776 130220604 135018864 140501178 143918673 145678248 147411072 148306799 153771484 154018229 155600576 161592896 173627472 175050648 180025152 181500768 181792008 187334904 191891564 194237664 207040898 219318912 230657226 231503296 233400864 242001024 242389344 249779872 258983552 260441208 270037728 281002356 287837346 291356496 296613598 307542968 308036458 310561347 311201152 323185792 345985839 347254944 350101296 360050304 363001536 363584016 374669808 383783128 388475328 414081796 431756019 444920397 461314452 462054687 463006592 466801728 484778688 499559744 520882416 540075456 562004712 575674692 582712992 593227196 615085936 616072916 621122694 691971678 694509888 700202592 726003072 727168032 749339616 767566256 776950656 828163592 863512038 889840794 922628904 924109374 931684041 933603456 969557376 999119488 1041764832 1080150912 1124009424 1151349384 1165425984 1186454392 1230171872 1232145832 1242245388 1334761191 1383943356 1386164061 1389019776 1400405184 1454336064 1498679232 1535132512 1656327184 1727024076 1779681588 1845257808 1848218748 1863368082 1966888531 2083529664 2248018848 2302698768 2330851968 2372908784 2460343744 2464291664 2484490776 2669522382 2767886712 2772328122 2800810368 2908672128 2926346351 2997358464 3070265024 3312654368 3454048152 3559363176 3690515616 3696437496 3726736164 3933777062 4167059328 4496037696 4605397536 4745817568 4920687488 4928583328 4968981552 5339044764 5535773424 5544656244 5852692702 5900665593 6140530048 6314747389 6625308736 6908096304 7118726352 7381031232 7392874992 7453472328 7867554124 8779039053 8992075392 9210795072 9491635136 9857166656 9937963104 10678089528 11071546848 11089312488 11705385404 11801331186 12629494778 13250617472 13816192608 14237452704 14762062464 14785749984 14906944656 15735108248 17558078106 17701996779 18421590144 18944242167 18983270272 19714333312 19875926208 21356179056 22143093696 22178624976 23410770808 23602662372 25258989556 26337117159 27632385216 28474905408 29571499968 29813889312 31470216496 35116156212 35403993558 37888484334 39751852416 42712358112 44286187392 44357249952 46821541616 47205324744 50517979112 52674234318 55264770432 56832726501 56949810816 59142999936 59627778624 62940432992 70232312424 70807987116 75776968668 85424716224 88714499904 93643083232 94410649488 101035958224 105348468636 113665453002 119255557248 119980200391 125880865984 140464624848 141615974232 151553937336 170849432448 177428999808 187286166464 188821298976 202071916448 210696937272 227330906004 239960400782 251761731968 280929249696 283231948464 303107874672 359940601173 374572332928 377642597952 404143832896 421393874544 454661812008 479920801564 561858499392 566463896928 606215749344 719881202346 755285195904 808287665792 842787749088 909323624016 959841603128 1079821803519 1123716998784 1132927793856 1212431498688 1439762404692 1685575498176 1818647248032 1919683206256 2159643607038 2265855587712 2424862997376 2879524809384 3371150996352 3637294496064 3839366412512 4319287214076 5759049618768 7274588992128 7678732825024 8638574428152 11518099237536 15357465650048 17277148856304 23036198475072 34554297712608 46072396950144 69108595425216 138217190850432
• Sum of all divisors σ(n): 436588634664000
• Sum of proper divisors (its aliquot sum) s(n): 298371443813568
• 138217190850432 is an abundant number, because the sum of its proper divisors (298371443813568) is greater than itself. Its abundance is 160154252963136

Bases of 138217190850432

• Binary: 11111011011010100110010100011111111111110000000₂
• Hexadecimal: 0x7DB5328FFF80
• Base-36: 1CZS3MRQ80

Squares and roots of 138217190850432

• 138217190850432 squared (138217190850432²) is 19103991846584743375394586624
• 138217190850432 cubed (138217190850432³) is 2640500087064500320292911382604435651821568
• The square root of 138217190850432 is 11756580.7465619867
• The cube root of 138217190850432 is 51703.5886067131

Scales and comparisons

• 138,217,190,850,432 seconds is equal to 4,394,879 years, 7 weeks, 5 hours, 7 minutes, 12 seconds.
• To count from 1 to 138,217,190,850,432 would take you about ten million, nine hundred eighty-seven thousand, one hundred ninety-seven 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 138217190850432 cubic inches would be around 4308.6 feet tall.

Recreational maths with 138217190850432

• 138217190850432 backwards is 234058091712831
• The number of decimal digits it has is: 15
• The sum of 138217190850432's digits is 54
• More coming soon!