138536386864128

Names of 138536386864128

• Cardinal: 138536386864128 can be written as One hundred thirty-eight trillion, five hundred thirty-six billion, three hundred eighty-six million, eight hundred sixty-four thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.38536386864128 × 10¹⁴

Factors of 138536386864128

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 141027

Divisors of 138536386864128

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 53 54 61 64 66 72 88 96 99 106 108 122 128 132 144 159 176 183 192 198 212 216 244 256 264 288 297 318 352 366 384 396 424 432 477 488 512 528 549 576 583 594 636 671 704 732 768 792 848 864 954 976 1024 1056 1098 1152 1166 1188 1272 1342 1408 1431 1464 1536 1584 1647 1696 1728 1749 1908 1952 2013 2112 2196 2304 2332 2376 2544 2684 2816 2862 2928 3072 3168 3233 3294 3392 3456 3498 3816 3904 4026 4224 4392 4608 4664 4752 5088 5247 5368 5632 5724 5856 6039 6336 6466 6588 6784 6912 6996 7632 7808 8052 8448 8784 9216 9328 9504 9699 10176 10494 10736 11264 11448 11712 12078 12672 12932 13176 13568 13824 13992 15264 15616 15741 16104 16896 17568 18117 18656 19008 19398 20352 20988 21472 22896 23424 24156 25344 25864 26352 27136 27648 27984 29097 30528 31232 31482 32208 33792 35136 35563 36234 37312 38016 38796 40704 41976 42944 45792 46848 48312 50688 51728 52704 54272 55968 58194 61056 62464 62964 64416 70272 71126 72468 74624 76032 77592 81408 83952 85888 87291 91584 93696 96624 101376 103456 105408 106689 111936 116388 122112 125928 128832 140544 140897 142252 144936 149248 152064 155184 162816 167904 171776 174582 183168 187392 193248 206912 210816 213378 223872 232776 244224 251856 257664 281088 281794 284504 289872 298496 304128 310368 320067 335808 343552 349164 366336 386496 413824 421632 422691 426756 447744 465552 488448 503712 515328 562176 563588 569008 579744 596992 620736 640134 671616 687104 698328 732672 772992 827648 843264 845382 853512 895488 931104 960201 1007424 1030656 1127176 1138016 1159488 1241472 1268073 1280268 1343232 1396656 1465344 1545984 1549867 1655296 1686528 1690764 1707024 1790976 1862208 1920402 2014848 2061312 2254352 2276032 2318976 2482944 2536146 2560536 2686464 2793312 3091968 3099734 3310592 3381528 3414048 3724416 3804219 3840804 4029696 4508704 4552064 4637952 4649601 4965888 5072292 5121072 5372928 5586624 6183936 6199468 6763056 6828096 7448832 7467541 7608438 7681608 8059392 8594717 9017408 9104128 9275904 9299202 9931776 10144584 10242144 11173248 12398936 13526112 13656192 13948803 14897664 14935082 15216876 15363216 16118784 17189434 18034816 18208256 18551808 18598404 20289168 20484288 22346496 22402623 24797872 25784151 27052224 27312384 27897606 29795328 29870164 30433752 30726432 34378868 36069632 36416512 37196808 40578336 40968576 41846409 44692992 44805246 49595744 51568302 54104448 54624768 55795212 59740328 60867504 61452864 67207869 68757736 72139264 74393616 77352453 81156672 81937152 82142951 83692818 89385984 89610492 94541887 99191488 103136604 108208896 109249536 111590424 119480656 121735008 122905728 134415738 137515472 144278528 148787232 154704906 162313344 163874304 164285902 167385636 179220984 189083774 198382976 201623607 206273208 216417792 223180848 232057359 238961312 243470016 245811456 246428853 268831476 275030944 283625661 297574464 309409812 324626688 327748608 328571804 334771272 358441968 378167548 396765952 403247214 412546416 432835584 446361696 455520001 464114718 477922624 486940032 491622912 492857706 537662952 550061888 567251322 595148928 618819624 649253376 657143608 669542544 716883936 739286559 756335096 793531904 806494428 825092832 850876983 892723392 911040002 928229436 955845248 973880064 983245824 985715412 1075325904 1100123776 1134502644 1190297856 1237639248 1298506752 1314287216 1339085088 1366560003 1433767872 1478573118 1512670192 1587063808 1612988856 1650185664 1701753966 1785446784 1822080004 1856458872 1911690496 1947760128 1971430824 2150651808 2200247552 2217859677 2269005288 2380595712 2475278496 2552630949 2628574432 2678170176 2733120006 2867535744 2957146236 3025340384 3225977712 3300371328 3403507932 3570893568 3644160008 3712917744 3823380992 3895520256 3942861648 4099680009 4301303616 4400495104 4435719354 4538010576 4761191424 4950556992 5010720011 5105261898 5257148864 5356340352 5466240012 5735071488 5914292472 6050680768 6451955424 6600742656 6807015864 7141787136 7288320016 7425835488 7646761984 7885723296 8199360018 8602607232 8800990208 8871438708 9076021152 9901113984 10021440022 10210523796 10514297728 10712680704 10932480024 11470142976 11828584944 12101361536 12299040027 12903910848 13201485312 13614031728 14283574272 14576640032 14851670976 15032160033 15771446592 16398720036 17205214464 17742877416 18152042304 19802227968 20042880044 20421047592 21028595456 21425361408 21864960048 22940285952 23657169888 24202723072 24598080054 25807821696 26402970624 27228063456 29153280064 29703341952 30064320066 31542893184 32797440072 34410428928 35485754832 36304084608 39604455936 40085760088 40842095184 42057190912 42850722816 43729920096 45096480099 47314339776 48405446144 49196160108 51615643392 54456126912 58306560128 59406683904 60128640132 63085786368 65594880144 68820857856 70971509664 72608169216 79208911872 80171520176 81684190368 84114381824 87459840192 90192960198 94628679552 96810892288 98392320216 103231286784 108912253824 116613120256 118813367808 120257280264 126171572736 131189760288 135289440297 141943019328 145216338432 160343040352 163368380736 174919680384 180385920396 189257359104 196784640432 206462573568 217824507648 233226240512 237626735616 240514560528 252343145472 262379520576 270578880594 283886038656 290432676864 320686080704 326736761472 349839360768 360771840792 378514718208 393569280864 435649015296 466452481024 481029121056 524759041152 541157761188 567772077312 641372161408 653473522944 699678721536 721543681584 757029436416 787138561728 871298030592 962058242112 1049518082304 1082315522376 1135544154624 1282744322816 1306947045888 1399357443072 1443087363168 1574277123456 1924116484224 2099036164608 2164631044752 2271088309248 2565488645632 2613894091776 2886174726336 3148554246912 3848232968448 4198072329216 4329262089504 5130977291264 5772349452672 6297108493824 7696465936896 8658524179008 11544698905344 12594216987648 15392931873792 17317048358016 23089397810688 34634096716032 46178795621376 69268193432064 138536386864128
• Sum of all divisors σ(n): 463499593770240
• Sum of proper divisors (its aliquot sum) s(n): 324963206906112
• 138536386864128 is an abundant number, because the sum of its proper divisors (324963206906112) is greater than itself. Its abundance is 186426820041984

Bases of 138536386864128

• Binary: 11111011111111110000100001000001010010000000000₂
• Hexadecimal: 0x7DFF8420A400
• Base-36: 1D3UQJU2O0

Squares and roots of 138536386864128

• 138536386864128 squared (138536386864128²) is 19192330485367337069533200384
• 138536386864128 cubed (138536386864128³) is 2658836120945046917716466535434757605425152
• The square root of 138536386864128 is 11770148.1241370961
• The cube root of 138536386864128 is 51743.3590848637

Scales and comparisons

• 138,536,386,864,128 seconds is equal to 4,405,028 years, 30 weeks, 1 day, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 138,536,386,864,128 would take you about eleven million, twelve thousand, five hundred seventy-one 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 138536386864128 cubic inches would be around 4311.9 feet tall.

Recreational maths with 138536386864128

• 138536386864128 backwards is 821468683635831
• 138536386864128 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138536386864128's digits is 72
• More coming soon!