668701739738831688800

Names of 668701739738831688800

• Cardinal: 668701739738831688800 can be written as Six hundred sixty-eight quintillion, seven hundred one quadrillion, seven hundred thirty-nine trillion, seven hundred thirty-eight billion, eight hundred thirty-one million, six hundred eighty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 6.687017397388316888 × 10²⁰

Factors of 668701739738831688800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 101996100

Divisors of 668701739738831688800

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 547 800 1094 2188 2735 4376 5470 8752 10940 13675 17504 21880 27350 43760 54700 87520 109400 218800 437600 18246269 36492538 72985076 83749277 91231345 145970152 167498554 182462690 291940304 334997108 364925380 418746385 456156725 583880608 669994216 729850760 837492770 912313450 1339988432 1459701520 1674985540 1824626900 2093731925 2679976864 2919403040 3349971080 3649253800 4187463850 6699942160 7298507600 8374927700 9980709143 13399884320 14597015200 16749855400 19961418286 33499710800 39922836572 45810854519 49903545715 66999421600 79845673144 91621709038 99807091430 159691346288 183243418076 199614182860 229054272595 249517728575 319382692576 366486836152 399228365720 458108545190 499035457150 732973672304 798456731440 916217090380 998070914300 1145271362975 1465947344608 1596913462880 1832434180760 1996141828600 2290542725950 3664868361520 3992283657200 4581085451900 7329736723040 7984567314400 9162170903800 18324341807600 36648683615200 1528111836697513 3056223673395026 6112447346790052 7640559183487565 12224894693580104 15281118366975130 24449789387160208 30562236733950260 38202795917437825 48899578774320416 61124473467900520 76405591834875650 122248946935801040 152811183669751300 244497893871602080 305622367339502600 611244734679005200 835877174673539611 1222489469358010400 1671754349347079222 3343508698694158444 4179385873367698055 6687017397388316888 8358771746735396110 13374034794776633776 16717543493470792220 20896929366838490275 26748069589553267552 33435086986941584440 41793858733676980550 66870173973883168880 83587717467353961100 133740347947766337760 167175434934707922200 334350869869415844400 668701739738831688800
• Sum of all divisors σ(n): 1635452633714615306640
• Sum of proper divisors (its aliquot sum) s(n): 966750893975783617840
• 668701739738831688800 is an abundant number, because the sum of its proper divisors (966750893975783617840) is greater than itself. Its abundance is 298049154236951929040

Bases of 668701739738831688800

• Binary: 1001000100000000011001110100010101101111011010110001101001010001100000₂
• Hexadecimal: 0x244019D15BDAC69460
• Base-36: 3X4HD3A03Q9K68

Squares and roots of 668701739738831688800

• 668701739738831688800 squared (668701739738831688800²) is 447162016729740191803605910775060045440000
• 668701739738831688800 cubed (668701739738831688800³) is 299018018532301827264912618101455563202746750453839939072000000
• The square root of 668701739738831688800 is 25859267966.0278026363
• The cube root of 668701739738831688800 is 8744684.6181891005

Scales and comparisons

• 668,701,739,738,831,688,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 668,701,739,738,831,688,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 668701739738831688800 cubic inches would be around 728723.7 feet tall.

Recreational maths with 668701739738831688800

• 668701739738831688800 backwards is 008886138837937107866
• The number of decimal digits it has is: 21
• The sum of 668701739738831688800's digits is 107
• More coming soon!