2138807398988438016

Names of 2138807398988438016

• Cardinal: 2138807398988438016 can be written as Two quintillion, one hundred thirty-eight quadrillion, eight hundred seven trillion, three hundred ninety-eight billion, nine hundred eighty-eight million, four hundred thirty-eight thousand and sixteen.

Scientific notation

• Scientific notation: 2.138807398988438016 × 10¹⁸

Factors of 2138807398988438016

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 4950850

Divisors of 2138807398988438016

• Number of divisors d(n): 160
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 5279 10558 15837 21116 31674 42232 53923 63348 84464 107846 126696 161769 168928 215692 253392 323538 337856 431384 506784 647076 675712 862768 1013568 1294152 1351424 1725536 2027136 2588304 2702848 3451072 4054272 4891643 5176608 6902144 8108544 9783286 10353216 13804288 14674929 19566572 20706432 27608576 29349858 39133144 41412864 58699716 78266288 82825728 117399432 156532576 234798864 284659517 313065152 469597728 569319034 626130304 853978551 939195456 1138638068 1252260608 1707957102 1878390912 2277276136 2504521216 3415914204 3756781824 4554552272 6831828408 7513563648 9109104544 13663656816 18218209088 25822983397 27327313632 36436418176 51645966794 54654627264 72872836352 77468950191 103291933588 109309254528 145745672704 154937900382 206583867176 218618509056 263772065489 309875800764 413167734352 437237018112 527544130978 619751601528 791316196467 826335468704 1055088261956 1239503203056 1582632392934 1652670937408 2110176523912 2479006406112 3165264785868 3305341874816 4220353047824 4958012812224 6330529571736 6610683749632 8440706095648 9916025624448 12661059143472 13221367499264 16881412191296 19832051248896 25322118286944 33762824382592 39664102497792 50644236573888 67525648765184 101288473147776 135051297530368 202576946295552 405153892591104 1392452733716431 2784905467432862 4177358201149293 5569810934865724 8354716402298586 11139621869731448 16709432804597172 22279243739462896 33418865609194344 44558487478925792 66837731218388688 89116974957851584 133675462436777376 178233949915703168 267350924873554752 356467899831406336 534701849747109504 712935799662812672 1069403699494219008 2138807398988438016
• Sum of all divisors σ(n): 5699102794393282560
• Sum of proper divisors (its aliquot sum) s(n): 3560295395404844544
• 2138807398988438016 is an abundant number, because the sum of its proper divisors (3560295395404844544) is greater than itself. Its abundance is 1421487996416406528

Bases of 2138807398988438016

• Binary: 1110110101110100100011111111101011011101011101101101000000000₂
• Hexadecimal: 0x1DAE91FF5BAEDA00
• Base-36: G8ZJY2RV4TMO

Squares and roots of 2138807398988438016

• 2138807398988438016 squared (2138807398988438016²) is 4574497089967687487147494447474016256
• 2138807398988438016 cubed (2138807398988438016³) is 9783968222673968406268525565325443292137294727632388096
• The square root of 2138807398988438016 is 1462466204.3918956885
• The cube root of 2138807398988438016 is 1288419.3124330827

Scales and comparisons

• 2,138,807,398,988,438,016 seconds is equal to 68,007,459,522 years, 8 weeks, 5 days, 21 hours, 13 minutes, 36 seconds.
• To count from 1 to 2,138,807,398,988,438,016 would take you about two hundred thirty-eight billion, twenty-six million, one hundred eight thousand, three hundred twenty-seven 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 2138807398988438016 cubic inches would be around 107368.3 feet tall.

Recreational maths with 2138807398988438016

• 2138807398988438016 backwards is 6108348898937088312
• 2138807398988438016 is a Harshad number.
• The number of decimal digits it has is: 19
• The sum of 2138807398988438016's digits is 96
• More coming soon!