131403474325200
131,403,474,325,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 131403474325200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 240 divisors.
131403474325200 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 131403474325200:
24 × 3 × 52 × 7 × 11 × 1422115523
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 1422115523)See below for interesting mathematical facts about the number 131403474325200 from the Numbermatics database.
Names of 131403474325200
- Cardinal: 131403474325200 can be written as One hundred thirty-one trillion, four hundred three billion, four hundred seventy-four million, three hundred twenty-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.314034743252 × 1014
Factors of 131403474325200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 1422115551
Divisors of 131403474325200
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 33 35 40 42 44 48 50 55 56 60 66 70 75 77 80 84 88 100 105 110 112 120 132 140 150 154 165 168 175 176 200 210 220 231 240 264 275 280 300 308 330 336 350 385 400 420 440 462 525 528 550 560 600 616 660 700 770 825 840 880 924 1050 1100 1155 1200 1232 1320 1400 1540 1650 1680 1848 1925 2100 2200 2310 2640 2800 3080 3300 3696 3850 4200 4400 4620 5775 6160 6600 7700 8400 9240 11550 13200 15400 18480 23100 30800 46200 92400 1422115523 2844231046 4266346569 5688462092 7110577615 8532693138 9954808661 11376924184 14221155230 15643270753 17065386276 19909617322 21331732845 22753848368 28442310460 29864425983 31286541506 34130772552 35552888075 39819234644 42663465690 46929812259 49774043305 56884620920 59728851966 62573083012 68261545104 71105776150 78216353765 79638469288 85326931380 93859624518 99548086610 106658664225 109502895271 113769241840 119457703932 125146166024 142211552300 149322129915 156432707530 159276938576 170653862760 187719249036 199096173220 213317328450 219005790542 234649061295 238915407864 248870216525 250292332048 284423104600 298644259830 312865415060 328508685813 341307725520 375438498072 391081768825 398192346440 426634656900 438011581084 469298122590 477830815728 497740433050 547514476355 568846209200 597288519660 625730830120 657017371626 746610649575 750876996144 782163537650 796384692880 853269313800 876023162168 938596245180 995480866100 1095028952710 1173245306475 1194577039320 1251461660240 1314034743252 1493221299150 1564327075300 1642543429065 1706538627600 1752046324336 1877192490360 1990961732200 2190057905420 2346490612950 2389154078640 2628069486504 2737572381775 2986442598300 3128654150600 3285086858130 3754384980720 3981923464400 4380115810840 4692981225900 5256138973008 5475144763550 5972885196600 6257308301200 6570173716260 8212717145325 8760231621680 9385962451800 10950289527100 11945770393200 13140347432520 16425434290650 18771924903600 21900579054200 26280694865040 32850868581300 43801158108400 65701737162600 131403474325200
- Sum of all divisors σ(n): 524794759128576
- Sum of proper divisors (its aliquot sum) s(n): 393391284803376
- 131403474325200 is an abundant number, because the sum of its proper divisors (393391284803376) is greater than itself. Its abundance is 261987810478176
Bases of 131403474325200
- Binary: 111011110000010110000010110100011001110110100002
- Hexadecimal: 0x7782C168CED0
- Base-36: 1AKTX7VJDC
Squares and roots of 131403474325200
- 131403474325200 squared (1314034743252002) is 17266873064733495595355040000
- 131403474325200 cubed (1314034743252003) is 2268927111438195326044683287018419008000000
-
The
square root of 131403474325200 is 11463135.4491343249 -
The
cube root of 131403474325200 is 50839.6184735055
Scales and comparisons
How big is 131403474325200?- 131,403,474,325,200 seconds is equal to 4,178,224 years, 1 week, 2 days, 10 hours, 20 minutes.
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To count from 1 to 131,403,474,325,200 would take you about ten million, four hundred forty-five thousand, five hundred sixty 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 131403474325200 cubic inches would be around 4236.6 feet tall.
Recreational maths with 131403474325200
- 131403474325200 backwards is 002523474304131
- The number of decimal digits it has is: 15
- The sum of 131403474325200's digits is 39
- More coming soon!
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