468307631019603600

Names of 468307631019603600

• Cardinal: 468307631019603600 can be written as Four hundred sixty-eight quadrillion, three hundred seven trillion, six hundred thirty-one billion, nineteen million, six hundred three thousand, six hundred.

Scientific notation

• Scientific notation: 4.683076310196036 × 10¹⁷

Factors of 468307631019603600

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 11405511

Divisors of 468307631019603600

• Number of divisors d(n): 135
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 11405501 22811002 34216503 45622004 57027505 68433006 91244008 102649509 114055010 136866012 171082515 182488016 205299018 228110020 273732024 285137525 342165030 410598036 456220040 513247545 547464048 570275050 684330060 821196072 855412575 912440080 1026495090 1140550100 1368660120 1642392144 1710825150 2052990180 2281100200 2566237725 2737320240 3421650300 4105980360 4562200400 5132475450 6843300600 8211960720 10264950900 13686601200 20529901800 41059803600 130085453061001 260170906122002 390256359183003 520341812244004 650427265305005 780512718366006 1040683624488008 1170769077549009 1300854530610010 1561025436732012 1951281795915015 2081367248976016 2341538155098018 2601709061220020 3122050873464024 3252136326525025 3902563591830030 4683076310196036 5203418122440040 5853845387745045 6244101746928048 6504272653050050 7805127183660060 9366152620392072 9756408979575075 10406836244880080 11707690775490090 13008545306100100 15610254367320120 18732305240784144 19512817959150150 23415381550980180 26017090612200200 29269226938725225 31220508734640240 39025635918300300 46830763101960360 52034181224400400 58538453877450450 78051271836600600 93661526203920720 117076907754900900 156102543673201200 234153815509801800 468307631019603600
• Sum of all divisors σ(n): 1625157707580021979
• Sum of proper divisors (its aliquot sum) s(n): 1156850076560418379
• 468307631019603600 is an abundant number, because the sum of its proper divisors (1156850076560418379) is greater than itself. Its abundance is 688542445540814779

Bases of 468307631019603600

• Binary: 11001111111110000110100111100101000100001110011011010010000₂
• Hexadecimal: 0x67FC34F28873690
• Base-36: 3K3577OKCQS0

Squares and roots of 468307631019603600

• 468307631019603600 squared (468307631019603600²) is 219312037271193191950527501132960000
• 468307631019603600 cubed (468307631019603600³) is 102705500628555493719529366113647674538970094656000000
• 468307631019603600 is a perfect square number. Its square root is 684330060
• The cube root of 468307631019603600 is 776563.6863289549

Scales and comparisons

• 468,307,631,019,603,600 seconds is equal to 14,890,734,095 years, 42 weeks, 1 day, 1 hour.
• To count from 1 to 468,307,631,019,603,600 would take you about forty-four billion, six hundred seventy-two million, two hundred two thousand, two hundred eighty-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 468307631019603600 cubic inches would be around 64713.6 feet tall.

Recreational maths with 468307631019603600

• 468307631019603600 backwards is 006306910136703864
• The number of decimal digits it has is: 18
• The sum of 468307631019603600's digits is 63
• More coming soon!