138431252936704

Names of 138431252936704

• Cardinal: 138431252936704 can be written as One hundred thirty-eight trillion, four hundred thirty-one billion, two hundred fifty-two million, nine hundred thirty-six thousand, seven hundred four.

Scientific notation

• Scientific notation: 1.38431252936704 × 10¹⁴

Factors of 138431252936704

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 8354

Divisors of 138431252936704

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 29 32 52 53 56 58 59 64 91 104 106 112 116 118 128 182 203 208 212 224 232 236 256 364 371 377 406 413 416 424 448 464 472 512 689 728 742 754 767 812 826 832 848 896 928 944 1024 1378 1456 1484 1508 1534 1537 1624 1652 1664 1696 1711 1792 1856 1888 2048 2639 2756 2912 2968 3016 3068 3074 3127 3248 3304 3328 3392 3422 3584 3712 3776 4823 5278 5369 5512 5824 5936 6032 6136 6148 6254 6496 6608 6656 6784 6844 7168 7424 7552 8191 9646 10556 10738 10759 11024 11648 11872 11977 12064 12272 12296 12508 12992 13216 13312 13568 13688 14336 14848 15104 16382 19292 19981 21112 21476 21518 21889 22048 22243 23296 23744 23954 24128 24544 24592 25016 25984 26432 26624 27136 27376 29696 30208 32764 38584 39962 40651 42224 42952 43036 43778 44096 44486 46592 47488 47908 48256 49088 49184 50032 51968 52864 54272 54752 57337 59392 60416 65528 77168 79924 81302 84448 85904 86072 87556 88192 88972 90683 93184 94976 95816 96512 98176 98368 100064 103936 105728 106483 108544 109504 114674 120832 131056 139867 154336 155701 159848 162604 168896 171808 172144 175112 176384 177944 181366 186368 189952 191632 193024 196352 196736 200128 207872 211456 212966 219008 229348 237539 262112 279734 284557 308672 311402 319696 325208 337792 343616 344288 350224 352768 355888 362732 379904 383264 386048 392704 393472 400256 415744 422912 425932 434123 438016 458696 475078 483269 524224 559468 569114 617344 622804 634781 639392 650416 675584 687232 688576 700448 705536 711776 725464 745381 759808 766528 772096 785408 786944 800512 845824 851864 868246 876032 917392 950156 966538 1048448 1118936 1138228 1178879 1234688 1245608 1269562 1278784 1300832 1351168 1374464 1377152 1400896 1411072 1423552 1450928 1490762 1533056 1570816 1573888 1601024 1662773 1703728 1736492 1752064 1834784 1900312 1933076 2096896 2237872 2276456 2357758 2469376 2491216 2539124 2557568 2601664 2702336 2748928 2754304 2801792 2847104 2901856 2981524 3038861 3066112 3088007 3147776 3202048 3325546 3382883 3407456 3472984 3504128 3669568 3800624 3866152 4193792 4475744 4552912 4715516 4938752 4982432 5078248 5115136 5203328 5404672 5497856 5508608 5603584 5643599 5694208 5803712 5963048 6077722 6132224 6176014 6282497 6404096 6651092 6765766 6814912 6945968 7339136 7601248 7732304 8252153 8387584 8951488 9105824 9431032 9877504 9964864 10156496 10230272 10406656 10995712 11017216 11207168 11287198 11388416 11607424 11926096 12155444 12264448 12352028 12564994 12589567 13302184 13531532 13629824 13891936 14014801 14678272 15202496 15464608 16504306 16775168 17902976 18211648 18862064 19929728 20312992 20460544 20813312 21616049 22034432 22414336 22574396 22776832 23214848 23852192 24310888 24528896 24704056 25129988 25179134 25613257 26604368 27063064 27259648 27783872 28029602 29356544 30404992 30929216 33008612 35805952 36423296 37724128 39505193 39859456 40625984 40921088 41626624 43232098 43977479 44828672 45148792 45553664 46429696 47704384 48621776 49408112 50259976 50358268 51226514 53208736 54126128 54519296 55567744 56059204 58713088 60809984 61858432 66017224 71611904 72846592 75448256 79010386 79718912 81251968 83253248 86464196 87954958 88126969 90297584 92859392 95408768 97243552 98103607 98816224 100519952 100716536 102453028 106417472 108252256 109038592 111135488 112118408 117426176 121619968 123716864 132034448 143223808 145693184 150896512 158020772 159437824 162503936 163664371 172928392 175909916 176253938 179292799 180595168 182192413 185718784 190817536 194487104 196207214 197632448 201039904 201433072 204906056 212834944 216504512 218077184 222270976 224236816 243239936 247433728 264068896 286447616 291386368 301793024 316041544 318875648 325007872 327328742 332972341 345856784 351819832 352507876 358585598 361190336 364384826 381635072 388974208 392414428 395264896 402079808 402866144 409812112 425669888 433009024 444541952 448473632 486479872 494867456 528137792 582772736 603586048 632083088 650015744 654657484 665944682 691713568 703639664 705015752 717171196 722380672 728769652 742784453 763270144 777948416 784828856 790529792 804159616 805732288 819624224 851339776 866018048 889083904 896947264 989734912 1056275584 1145650597 1207172096 1264166176 1275346891 1300031488 1309314968 1331889364 1383427136 1407279328 1410031504 1434342392 1444761344 1457539304 1485568906 1526540288 1555896832 1569657712 1581059584 1608319232 1611464576 1639248448 1702679552 1732036096 1793894528 2112551168 2291301194 2330806387 2414344192 2528332352 2550693782 2618629936 2663778728 2766854272 2814558656 2820063008 2868684784 2889522688 2915078608 2971137812 3111793664 3139315424 3162119168 3216638464 3222929152 3278496896 3405359104 3464072192 3587789056 4225102336 4582602388 4661612774 5056664704 5101387564 5199491171 5237259872 5327557456 5533708544 5629117312 5640126016 5737369568 5779045376 5830157216 5942275624 6223587328 6278630848 6324238336 6433276928 6445858304 6556993792 6928144384 7175578112 8450204672 9165204776 9323225548 9656197889 10113329408 10202775128 10398982342 10474519744 10655114912 11067417088 11258234624 11280252032 11474739136 11558090752 11660314432 11884551248 12557261696 12866553856 12891716608 13113987584 14351156224 16900409344 18330409552 18646451096 19312395778 20226658816 20405550256 20797964684 20949039488 21310229824 22134834176 22516469248 22560504064 22949478272 23320628864 23769102496 25114523392 25783433216 26227975168 28702312448 36660819104 37292902192 38624791556 40453317632 40811100512 41595929368 41898078976 42620459648 44269668352 45032938496 45121008128 45898956544 46641257728 47538204992 50229046784 52455950336 67593385223 73321638208 74585804384 77249583112 80906635264 81622201024 83191858736 83796157952 85240919296 90065876992 90242016256 91797913088 93282515456 95076409984 100458093568 135186770446 146643276416 149171608768 154499166224 163244402048 166383717472 167592315904 170481838592 180484032512 183595826176 186565030912 190152819968 200916187136 270373540892 293286552832 298343217536 308998332448 326488804096 332767434944 335184631808 340963677184 367191652352 373130061824 380305639936 540747081784 586573105664 596686435072 617996664896 652977608192 665534869888 681927354368 760611279872 1081494163568 1173146211328 1193372870144 1235993329792 1305955216384 1331069739776 1521222559744 2162988327136 2346292422656 2386745740288 2471986659584 2611910432768 2662139479552 4325976654272 4773491480576 4943973319168 5324278959104 8651953308544 9887946638336 10648557918208 17303906617088 19775893276672 34607813234176 69215626468352 138431252936704
• Sum of all divisors σ(n): 365197787136000
• Sum of proper divisors (its aliquot sum) s(n): 226766534199296
• 138431252936704 is an abundant number, because the sum of its proper divisors (226766534199296) is greater than itself. Its abundance is 88335281262592

Bases of 138431252936704

• Binary: 11111011110011100001001101010000011100000000000₂
• Hexadecimal: 0x7DE709A83800
• Base-36: 1D2IFTT534

Squares and roots of 138431252936704

• 138431252936704 squared (138431252936704²) is 19163211789625719824230383616
• 138431252936704 cubed (138431252936704³) is 2652787418329306142859002202639064486641664
• The square root of 138431252936704 is 11765681.1505625971
• The cube root of 138431252936704 is 51730.2665937161

Scales and comparisons

• 138,431,252,936,704 seconds is equal to 4,401,685 years, 33 weeks, 4 days, 15 hours, 45 minutes, 4 seconds.
• To count from 1 to 138,431,252,936,704 would take you about eleven million, four thousand, two hundred fourteen 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 138431252936704 cubic inches would be around 4310.9 feet tall.

Recreational maths with 138431252936704

• 138431252936704 backwards is 407639252134831
• 138431252936704 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138431252936704's digits is 58
• More coming soon!