135038026962309120

Names of 135038026962309120

• Cardinal: 135038026962309120 can be written as One hundred thirty-five quadrillion, thirty-eight trillion, twenty-six billion, nine hundred sixty-two million, three hundred nine thousand, one hundred twenty.

Scientific notation

• Scientific notation: 1.3503802696230912 × 10¹⁷

Factors of 135038026962309120

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 81954603

Divisors of 135038026962309120

• Number of divisors d(n): 416
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 512 520 624 640 768 780 832 960 1024 1040 1248 1280 1536 1560 1664 1920 2048 2063 2080 2496 2560 3072 3120 3328 3840 4096 4126 4160 4992 5120 6144 6189 6240 6656 7680 8252 8320 9984 10240 10315 12288 12378 12480 13312 15360 16504 16640 19968 20480 20630 24756 24960 26624 26819 30720 30945 33008 33280 39936 41260 49512 49920 53248 53638 61440 61890 66016 66560 79872 80457 82520 99024 99840 107276 123780 132032 133120 134095 159744 160914 165040 198048 199680 214552 247560 264064 266240 268190 321828 330080 396096 399360 402285 429104 495120 528128 536380 643656 660160 792192 798720 804570 858208 990240 1056256 1072760 1287312 1320320 1584384 1609140 1716416 1980480 2112512 2145520 2574624 2640640 3168768 3218280 3432832 3960960 4225024 4291040 5149248 5281280 6337536 6436560 6865664 7921920 8450048 8582080 10298496 10562560 12675072 12873120 13731328 15843840 17164160 20596992 21125120 25350144 25746240 27462656 31687680 34328320 41193984 42250240 51492480 54925312 63375360 68656640 81952517 82387968 102984960 109850624 126750720 137313280 163905034 164775936 205969920 245857551 274626560 327810068 329551872 409762585 411939840 491715102 549253120 655620136 819525170 823879680 983430204 1065382721 1229287755 1311240272 1639050340 1647759360 1966860408 2130765442 2458575510 2622480544 3196148163 3278100680 3933720816 4261530884 4917151020 5244961088 5326913605 6392296326 6556201360 7867441632 8523061768 9834302040 10489922176 10653827210 12784592652 13112402720 15734883264 15980740815 17046123536 19668604080 20979844352 21307654420 25569185304 26224805440 31469766528 31961481630 34092247072 39337208160 41959688704 42615308840 51138370608 52449610880 62939533056 63922963260 68184494144 78674416320 83919377408 85230617680 102276741216 104899221760 125879066112 127845926520 136368988288 157348832640 167838754816 169068042571 170461235360 204553482432 209798443520 251758132224 255691853040 272737976576 314697665280 335677509632 338136085142 340922470720 409106964864 419596887040 503516264448 507204127713 511383706080 545475953152 629395330560 676272170284 681844941440 818213929728 839193774080 845340212855 1007032528896 1014408255426 1022767412160 1090951906304 1258790661120 1352544340568 1363689882880 1636427859456 1678387548160 1690680425710 2028816510852 2045534824320 2181903812608 2197884553423 2517581322240 2536020638565 2705088681136 2727379765760 3272855718912 3381360851420 4057633021704 4091069648640 4363807625216 4395769106846 5035162644480 5072041277130 5410177362272 5454759531520 6545711437824 6593653660269 6762721702840 8115266043408 8182139297280 8791538213692 10144082554260 10820354724544 10909519063040 10989422767115 13091422875648 13187307320538 13525443405680 16230532086816 16364278594560 17583076427384 20288165108520 21640709449088 21819038126080 21978845534230 26374614641076 27050886811360 32461064173632 32728557189120 32968268301345 35166152854768 40576330217040 43281418898176 43957691068460 52749229282152 54101773622720 64922128347264 65457114378240 65936536602690 70332305709536 81152660434080 86562837796352 87915382136920 105498458564304 108203547245440 129844256694528 131873073205380 140664611419072 162305320868160 173125675592704 175830764273840 210996917128608 216407094490880 259688513389056 263746146410760 281329222838144 324610641736320 346251351185408 351661528547680 421993834257216 432814188981760 519377026778112 527492292821520 562658445676288 649221283472640 692502702370816 703323057095360 843987668514432 865628377963520 1038754053556224 1054984585643040 1125316891352576 1298442566945280 1406646114190720 1687975337028864 1731256755927040 2077508107112448 2109969171286080 2250633782705152 2596885133890560 2813292228381440 3375950674057728 3462513511854080 4219938342572160 4501267565410304 5193770267781120 5626584456762880 6751901348115456 8439876685144320 9002535130820608 10387540535562240 11253168913525760 13503802696230912 16879753370288640 22506337827051520 27007605392461824 33759506740577280 45012675654103040 67519013481154560 135038026962309120
• Sum of all divisors σ(n): 465530562561802752
• Sum of proper divisors (its aliquot sum) s(n): 330492535599493632
• 135038026962309120 is an abundant number, because the sum of its proper divisors (330492535599493632) is greater than itself. Its abundance is 195454508637184512

Bases of 135038026962309120

• Binary: 111011111110000000101111010111100010000100001000000000000₂
• Hexadecimal: 0x1DFC05EBC421000
• Base-36: 10XMZH6ATNUO

Squares and roots of 135038026962309120

• 135038026962309120 squared (135038026962309120²) is 18235268725873324859233082435174400
• 135038026962309120 cubed (135038026962309120³) is 2462454709869434315606243802703935374814533910528000
• The square root of 135038026962309120 is 367475205.9150509815
• The cube root of 135038026962309120 is 513040.9462892099

Scales and comparisons

• 135,038,026,962,309,120 seconds is equal to 4,293,791,557 years, 18 weeks, 4 days, 13 hours, 52 minutes.
• To count from 1 to 135,038,026,962,309,120 would take you about twelve billion, eight hundred eighty-one million, three hundred seventy-four thousand, six hundred seventy-two 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 135038026962309120 cubic inches would be around 42753.4 feet tall.

Recreational maths with 135038026962309120

• 135038026962309120 backwards is 021903269620830531
• 135038026962309120 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 135038026962309120's digits is 60
• More coming soon!