13271246623728265200
13,271,246,623,728,265,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 13271246623728265200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 240 divisors.
13271246623728265200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 13271246623728265200:
24 × 3 × 52 × 7 × 19 × 83153174334137
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 19 × 83153174334137)See below for interesting mathematical facts about the number 13271246623728265200 from the Numbermatics database.
Names of 13271246623728265200
- Cardinal: 13271246623728265200 can be written as Thirteen quintillion, two hundred seventy-one quadrillion, two hundred forty-six trillion, six hundred twenty-three billion, seven hundred twenty-eight million, two hundred sixty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.32712466237282652 × 1019
Factors of 13271246623728265200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 83153174334173
Divisors of 13271246623728265200
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 35 38 40 42 48 50 56 57 60 70 75 76 80 84 95 100 105 112 114 120 133 140 150 152 168 175 190 200 210 228 240 266 280 285 300 304 336 350 380 399 400 420 456 475 525 532 560 570 600 665 700 760 798 840 912 950 1050 1064 1140 1200 1330 1400 1425 1520 1596 1680 1900 1995 2100 2128 2280 2660 2800 2850 3192 3325 3800 3990 4200 4560 5320 5700 6384 6650 7600 7980 8400 9975 10640 11400 13300 15960 19950 22800 26600 31920 39900 53200 79800 159600 83153174334137 166306348668274 249459523002411 332612697336548 415765871670685 498919046004822 582072220338959 665225394673096 831531743341370 997838092009644 1164144440677918 1247297615012055 1330450789346192 1579910312348603 1663063486682740 1746216661016877 1995676184019288 2078829358353425 2328288881355836 2494595230024110 2910361101694795 3159820624697206 3326126973365480 3492433322033754 3991352368038576 4157658716706850 4656577762711672 4739730937045809 4989190460048220 5820722203389590 6236488075060275 6319641249394412 6652253946730960 6984866644067508 7899551561743015 8315317433413700 8731083305084385 9313155525423344 9479461874091618 9978380920096440 11059372186440221 11641444406779180 12472976150120550 12639282498788824 13969733288135016 14551805508473975 15799103123486030 16630634866827400 17462166610168770 18958923748183236 19956761840192880 22118744372880442 23282888813558360 23698654685229045 24945952300241100 25278564997577648 27939466576270032 29103611016947950 31598206246972060 33178116559320663 33261269733654800 34924333220337540 37917847496366472 39497757808715075 43655416525421925 44237488745760884 46565777627116720 47397309370458090 49891904600482200 55296860932201105 58207222033895900 63196412493944120 66356233118641326 69848666440675080 75835694992732944 78995515617430150 87310833050843850 88474977491521768 94794618740916180 99783809200964400 110593721864402210 116414444067791800 118493273426145225 126392824987888240 132712466237282652 139697332881350160 157991031234860300 165890582796603315 174621666101687700 176949954983043536 189589237481832360 221187443728804420 232828888135583600 236986546852290450 265424932474565304 276484304661005525 315982062469720600 331781165593206630 349243332203375400 379178474963664720 442374887457608840 473973093704580900 530849864949130608 552968609322011050 631964124939441200 663562331186413260 698486664406750800 829452913983016575 884749774915217680 947946187409161800 1105937218644022100 1327124662372826520 1658905827966033150 1895892374818323600 2211874437288044200 2654249324745653040 3317811655932066300 4423748874576088400 6635623311864132600 13271246623728265200
- Sum of all divisors σ(n): 51142528342468235520
- Sum of proper divisors (its aliquot sum) s(n): 37871281718739970320
- 13271246623728265200 is an abundant number, because the sum of its proper divisors (37871281718739970320) is greater than itself. Its abundance is 24600035095011705120
Bases of 13271246623728265200
- Binary: 10111000001011001111000001111101011111011110110011100111111100002
- Hexadecimal: 0xB82CF07D7DECE7F0
- Base-36: 2STU0ASNY6DIO
Squares and roots of 13271246623728265200
- 13271246623728265200 squared (132712466237282652002) is 176125986947818878281827209401531040000
- 13271246623728265200 cubed (132712466237282652003) is 2337411409632049792723098099995273214649925803151808000000
-
The
square root of 13271246623728265200 is 3642972223.8480305493 -
The
cube root of 13271246623728265200 is 2367575.8785700427
Scales and comparisons
How big is 13271246623728265200?- 13,271,246,623,728,265,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 13,271,246,623,728,265,200 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 13271246623728265200 cubic inches would be around 197298 feet tall.
Recreational maths with 13271246623728265200
- 13271246623728265200 backwards is 00256282732664217231
- The number of decimal digits it has is: 20
- The sum of 13271246623728265200's digits is 69
- More coming soon!
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