138370967911680

Names of 138370967911680

• Cardinal: 138370967911680 can be written as One hundred thirty-eight trillion, three hundred seventy billion, nine hundred sixty-seven million, nine hundred eleven thousand, six hundred eighty.

Scientific notation

• Scientific notation: 1.3837096791168 × 10¹⁴

Factors of 138370967911680

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 3397

Divisors of 138370967911680

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 64 67 70 80 84 96 98 105 112 120 128 134 140 147 160 168 192 196 201 210 224 240 245 256 268 280 294 320 335 336 384 392 402 420 448 469 480 490 536 560 588 640 670 672 735 768 784 804 840 896 938 960 980 1005 1072 1120 1176 1280 1340 1344 1407 1470 1568 1608 1680 1792 1876 1920 1960 2010 2144 2240 2345 2352 2680 2688 2814 2940 3136 3216 3283 3313 3360 3752 3840 3920 4020 4288 4480 4690 4704 5360 5376 5628 5880 6272 6432 6566 6626 6720 7035 7504 7840 8040 8576 8960 9380 9408 9849 9939 10720 11256 11760 12544 12864 13132 13252 13440 14070 15008 15680 16080 16415 16565 17152 18760 18816 19698 19878 21440 22512 23191 23520 25728 26264 26504 26880 28140 30016 31360 32160 32830 33130 37520 37632 39396 39756 42880 45024 46382 47040 49245 49695 51456 52528 53008 56280 60032 62720 64320 65660 66260 69573 75040 78792 79512 85760 90048 92764 94080 98490 99390 105056 106016 112560 115955 120064 128640 131320 132520 139146 150080 157584 159024 162337 180096 185528 188160 196980 198780 210112 212032 221971 225120 231910 257280 262640 265040 278292 300160 315168 318048 324674 347865 360192 371056 393960 397560 420224 424064 443942 450240 463820 487011 525280 530080 556584 600320 630336 636096 649348 665913 695730 742112 787920 795120 811685 840448 848128 887884 900480 927640 974022 1050560 1060160 1109855 1113168 1260672 1272192 1298696 1331826 1391460 1484224 1553797 1575840 1590240 1623370 1775768 1800960 1855280 1948044 2101120 2120320 2219710 2226336 2435055 2521344 2544384 2597392 2663652 2782920 2968448 3107594 3151680 3180480 3246740 3329565 3551536 3710560 3896088 4202240 4240640 4439420 4452672 4661391 4870110 5194784 5327304 5565840 5936896 6215188 6303360 6360960 6493480 6659130 7103072 7421120 7768985 7792176 8878840 8905344 9322782 9740220 10389568 10654608 10876579 10975969 11131680 12430376 12606720 12721920 12986960 13318260 14206144 14842240 15537970 15584352 17757680 17810688 18645564 19480440 20779136 21309216 21753158 21951938 22263360 23306955 24860752 25973920 26636520 28412288 29684480 31075940 31168704 32629737 32927907 35515360 37291128 38960880 41558272 42618432 43506316 43903876 44526720 46613910 49721504 51947840 53273040 54382895 54879845 56824576 62151880 62337408 65259474 65855814 71030720 74582256 76831783 77921760 85236864 87012632 87807752 89053440 93227820 99443008 103895680 106546080 108765790 109759690 124303760 124674816 130518948 131711628 142061440 149164512 153663566 155843520 163148685 164639535 170473728 174025264 175615504 186455640 198886016 207791360 213092160 217531580 219519380 230495349 248607520 261037896 263423256 284122880 298329024 307327132 311687040 326297370 329279070 348050528 351231008 372911280 384158915 397772032 426184320 435063160 439038760 460990698 497215040 522075792 526846512 537822481 596658048 614654264 623374080 652594740 658558140 696101056 702462016 735389923 745822560 768317830 852368640 870126320 878077520 921981396 994430080 1044151584 1053693024 1075644962 1152476745 1193316096 1229308528 1305189480 1317116280 1392202112 1404924032 1470779846 1491645120 1536635660 1613467443 1740252640 1756155040 1843962792 1988860160 2088303168 2107386048 2151289924 2206169769 2304953490 2458617056 2610378960 2634232560 2689112405 2784404224 2809848064 2941559692 2983290240 3073271320 3226934886 3480505280 3512310080 3676949615 3687925584 4176606336 4214772096 4302579848 4412339538 4609906980 4917234112 5147729461 5220757920 5268465120 5378224810 5883119384 5966580480 6146542640 6453869772 6961010560 7024620160 7353899230 7375851168 8067337215 8353212672 8429544192 8605159696 8824679076 9219813960 9834468224 10295458922 10441515840 10536930240 10756449620 11030848845 11766238768 12293085280 12907739544 13922021120 14049240320 14707798460 14751702336 15443188383 16134674430 17210319392 17649358152 18439627920 19668936448 20590917844 20883031680 21073860480 21512899240 22061697690 23532477536 24586170560 25738647305 25815479088 29415596920 29503404672 30886376766 32269348860 34420638784 35298716304 36034106227 36879255840 41181835688 41766063360 42147720960 43025798480 44123395380 47064955072 49172341120 51477294610 51630958176 58831193840 59006809344 61772753532 64538697720 68841277568 70597432608 72068212454 73758511680 77215941915 82363671376 86051596960 88246790760 94129910144 98344682240 102954589220 103261916352 108102318681 117662387680 123545507064 129077395440 137682555136 141194865216 144136424908 147517023360 154431883830 164727342752 172103193920 176493581520 180170531135 188259820288 205909178440 206523832704 216204637362 235324775360 247091014128 258154790880 282389730432 288272849816 295034046720 308863767660 329454685504 344206387840 352987163040 360341062270 411818356880 413047665408 432409274724 470649550720 494182028256 516309581760 540511593405 564779460864 576545699632 617727535320 658909371008 688412775680 705974326080 720682124540 823636713760 864818549448 941299101440 988364056512 1032619163520 1081023186810 1153091399264 1235455070640 1317818742016 1411948652160 1441364249080 1647273427520 1729637098896 1976728113024 2065238327040 2162046373620 2306182798528 2470910141280 2823897304320 2882728498160 3294546855040 3459274197792 3953456226048 4324092747240 4612365597056 4941820282560 5765456996320 6589093710080 6918548395584 8648185494480 9224731194112 9883640565120 11530913992640 13837096791168 17296370988960 19767281130240 23061827985280 27674193582336 34592741977920 46123655970560 69185483955840 138370967911680
• Sum of all divisors σ(n): 521903115935712
• Sum of proper divisors (its aliquot sum) s(n): 383532148024032
• 138370967911680 is an abundant number, because the sum of its proper divisors (383532148024032) is greater than itself. Its abundance is 245161180112352

Bases of 138370967911680

• Binary: 11111011101100100000000011000111011110100000000₂
• Hexadecimal: 0x7DD90063BD00
• Base-36: 1D1QQTNU2O

Squares and roots of 138370967911680

• 138370967911680 squared (138370967911680²) is 19146524760815176220280422400
• 138370967911680 cubed (138370967911680³) is 2649323163298943335815586915161716293632000
• The square root of 138370967911680 is 11763118.9703955643
• The cube root of 138370967911680 is 51722.7562154427

Scales and comparisons

• 138,370,967,911,680 seconds is equal to 4,399,768 years, 40 weeks, 7 hours, 28 minutes.
• To count from 1 to 138,370,967,911,680 would take you about ten million, nine hundred ninety-nine thousand, four hundred twenty-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 138370967911680 cubic inches would be around 4310.2 feet tall.

Recreational maths with 138370967911680

• 138370967911680 backwards is 086119769073831
• The number of decimal digits it has is: 15
• The sum of 138370967911680's digits is 69
• More coming soon!