138319782625825536

Names of 138319782625825536

• Cardinal: 138319782625825536 can be written as One hundred thirty-eight quadrillion, three hundred nineteen trillion, seven hundred eighty-two billion, six hundred twenty-five million, eight hundred twenty-five thousand, five hundred thirty-six.

Scientific notation

• Scientific notation: 1.38319782625825536 × 10¹⁷

Factors of 138319782625825536

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 113229869

Divisors of 138319782625825536

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 43 48 64 71 86 96 128 129 142 172 192 213 256 258 284 344 384 426 516 521 568 688 768 852 1032 1042 1136 1376 1563 1704 2064 2084 2272 2752 3053 3126 3408 4128 4168 4544 5504 6106 6252 6816 8256 8336 9088 9159 11008 12212 12504 13632 16512 16672 18176 18318 22403 24424 25008 27264 33024 33344 36636 36991 44806 48848 50016 54528 66688 67209 73272 73982 89612 97696 100032 110973 133376 134418 146544 147964 179224 195392 200064 221946 268836 293088 295928 358448 390784 400128 443892 537672 586176 591856 716896 781568 887784 1075344 1172352 1183712 1433792 1590613 1775568 2150688 2344704 2367424 2867584 3181226 3551136 4301376 4734848 4771839 5735168 6362452 7102272 8602752 9469696 9543678 12724904 14204544 17205504 19087356 25449808 28409088 38174712 50899616 76349424 101799232 113229229 152698848 203598464 226458458 305397696 339687687 407196928 452916916 610795392 679375374 905833832 1221590784 1358750748 1811667664 2717501496 3623335328 4868856847 5435002992 7246670656 8039275259 9737713694 10870005984 14493341312 14606570541 16078550518 19475427388 21740011968 24117825777 28986682624 29213141082 32157101036 38950854776 43480023936 48235651554 58426282164 58992428309 64314202072 77901709552 86960047872 96471303108 116852564328 117984856618 128628404144 155803419104 176977284927 192942606216 233705128656 235969713236 257256808288 311606838208 345688836137 353954569854 385885212432 467410257312 471939426472 514513616576 623213676416 691377672274 707909139708 771770424864 934820514624 943878852944 1029027233152 1037066508411 1246427352832 1382755344548 1415818279416 1543540849728 1869641029248 1887757705888 2058054466304 2074133016822 2536674417287 2765510689096 2831636558832 3087081699456 3739282058496 3775515411776 4148266033644 4188462409939 5073348834574 5531021378192 5663273117664 6174163398912 7551030823552 7610023251861 8296532067288 8376924819878 10146697669148 11062042756384 11326546235328 12565387229817 15102061647104 15220046503722 16593064134576 16753849639756 20293395338296 22124085512768 22653092470656 25130774459634 30440093007444 33186128269152 33507699279512 40586790676592 44248171025536 45306184941312 50261548919268 60880186014888 66372256538304 67015398559024 81173581353184 88496342051072 100523097838536 121760372029776 132744513076608 134030797118048 162347162706368 180103883627377 201046195677072 243520744059552 265489026153216 268061594236096 324694325412736 360207767254754 402092391354144 487041488119104 536123188472192 540311650882131 649388650825472 720415534509508 804184782708288 974082976238208 1072246376944384 1080623301764262 1440831069019016 1608369565416576 1948165952476416 2161246603528524 2881662138038032 3216739130833152 4322493207057048 5763324276076064 8644986414114096 11526648552152128 17289972828228192 23053297104304256 34579945656456384 46106594208608512 69159891312912768 138319782625825536
• Sum of all divisors σ(n): 382732305356459520
• Sum of proper divisors (its aliquot sum) s(n): 244412522730633984
• 138319782625825536 is an abundant number, because the sum of its proper divisors (244412522730633984) is greater than itself. Its abundance is 106092740104808448

Bases of 138319782625825536

• Binary: 111101011011010010001110000000100110100100101001100000000₂
• Hexadecimal: 0x1EB691C04D25300
• Base-36: 11TY9QWWGLXC

Squares and roots of 138319782625825536

• 138319782625825536 squared (138319782625825536²) is 19132362265655627810763905509687296
• 138319782625825536 cubed (138319782625825536³) is 2646384189704033395708108329656373405942877211590656
• The square root of 138319782625825536 is 371913676.3092015361
• The cube root of 138319782625825536 is 517163.7778069129

Scales and comparisons

• 138,319,782,625,825,536 seconds is equal to 4,398,141,236 years, 16 weeks, 5 days, 3 hours, 5 minutes, 36 seconds.
• To count from 1 to 138,319,782,625,825,536 would take you about thirteen billion, one hundred ninety-four million, four hundred twenty-three thousand, seven hundred eight 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 138319782625825536 cubic inches would be around 43097 feet tall.

Recreational maths with 138319782625825536

• 138319782625825536 backwards is 635528526287913831
• The number of decimal digits it has is: 18
• The sum of 138319782625825536's digits is 84
• More coming soon!