137198760400
137,198,760,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 137198760400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 240 divisors.
137198760400 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 137198760400:
24 × 52 × 13 × 103 × 127 × 2017
(2 × 2 × 2 × 2 × 5 × 5 × 13 × 103 × 127 × 2017)See below for interesting mathematical facts about the number 137198760400 from the Numbermatics database.
Names of 137198760400
- Cardinal: 137198760400 can be written as One hundred thirty-seven billion, one hundred ninety-eight million, seven hundred sixty thousand, four hundred.
Scientific notation
- Scientific notation: 1.371987604 × 1011
Factors of 137198760400
Divisors of 137198760400
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 103 104 127 130 200 206 208 254 260 325 400 412 508 515 520 635 650 824 1016 1030 1040 1270 1300 1339 1648 1651 2017 2032 2060 2540 2575 2600 2678 3175 3302 4034 4120 5080 5150 5200 5356 6350 6604 6695 8068 8240 8255 10085 10160 10300 10712 12700 13081 13208 13390 16136 16510 20170 20600 21424 25400 26162 26221 26416 26780 32272 33020 33475 40340 41200 41275 50425 50800 52324 52442 53560 65405 66040 66950 80680 82550 100850 104648 104884 107120 130810 131105 132080 133900 161360 165100 170053 201700 207751 209296 209768 256159 261620 262210 267800 327025 330200 340106 403400 415502 419536 512318 523240 524420 535600 654050 655525 660400 680212 806800 831004 850265 1024636 1038755 1046480 1048840 1280795 1308100 1311050 1360424 1662008 1700530 2049272 2077510 2097680 2561590 2616200 2622100 2700763 2720848 3324016 3330067 3401060 4098544 4155020 4251325 5123180 5193775 5232400 5244200 5401526 6403975 6660134 6802120 8310040 8502650 10246360 10387550 10488400 10803052 12807950 13320268 13503815 13604240 16620080 16650335 17005300 20492720 20775100 21606104 25615900 26384377 26640536 27007630 33300670 34010600 41550200 43212208 51231800 52768754 53281072 54015260 66601340 67519075 68021200 83100400 83251675 102463600 105537508 108030520 131921885 133202680 135038150 166503350 211075016 216061040 263843770 266405360 270076300 333006700 342996901 422150032 527687540 540152600 659609425 666013400 685993802 1055375080 1080305200 1319218850 1332026800 1371987604 1714984505 2110750160 2638437700 2743975208 3429969010 5276875400 5487950416 6859938020 8574922525 10553750800 13719876040 17149845050 27439752080 34299690100 68599380200 137198760400
- Sum of all divisors σ(n): 361423089664
- Sum of proper divisors (its aliquot sum) s(n): 224224329264
- 137198760400 is an abundant number, because the sum of its proper divisors (224224329264) is greater than itself. Its abundance is 87025568864
Bases of 137198760400
- Binary: 11111111100011010111011110001110100002
- Hexadecimal: 0x1FF1AEF1D0
- Base-36: 1R10LL1S
Squares and roots of 137198760400
- 137198760400 squared (1371987604002) is 18823499855296608160000
- 137198760400 cubed (1371987604003) is 2582560846536274013876524864000000
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The
square root of 137198760400 is 370403.5102425461 -
The
cube root of 137198760400 is 5157.6285649701
Scales and comparisons
How big is 137198760400?- 137,198,760,400 seconds is equal to 4,362 years, 25 weeks, 5 days, 14 hours, 46 minutes, 40 seconds.
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To count from 1 to 137,198,760,400 would take you about eight thousand, seven hundred twenty-four 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 137198760400 cubic inches would be around 429.8 feet tall.
Recreational maths with 137198760400
- 137198760400 backwards is 004067891731
- The number of decimal digits it has is: 12
- The sum of 137198760400's digits is 46
- More coming soon!
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