137962381824000000
137,962,381,824,000,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137962381824000000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2688 divisors.
137962381824000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 137962381824000000:
215 × 32 × 56 × 53 × 181 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 53 × 181 × 3121)See below for interesting mathematical facts about the number 137962381824000000 from the Numbermatics database.
Names of 137962381824000000
- Cardinal: 137962381824000000 can be written as One hundred thirty-seven quadrillion, nine hundred sixty-two trillion, three hundred eighty-one billion, eight hundred twenty-four million.
Scientific notation
- Scientific notation: 1.37962381824 × 1017
Factors of 137962381824000000
Divisors of 137962381824000000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 53 60 64 72 75 80 90 96 100 106 120 125 128 144 150 159 160 180 181 192 200 212 225 240 250 256 265 288 300 318 320 360 362 375 384 400 424 450 477 480 500 512 530 543 576 600 625 636 640 720 724 750 768 795 800 848 900 905 954 960 1000 1024 1060 1086 1125 1152 1200 1250 1272 1280 1325 1440 1448 1500 1536 1590 1600 1629 1696 1800 1810 1875 1908 1920 2000 2048 2120 2172 2250 2304 2385 2400 2500 2544 2560 2650 2715 2880 2896 3000 3072 3121 3125 3180 3200 3258 3392 3600 3620 3750 3816 3840 3975 4000 4096 4240 4344 4500 4525 4608 4770 4800 5000 5088 5120 5300 5430 5625 5760 5792 6000 6144 6242 6250 6360 6400 6516 6625 6784 7200 7240 7500 7632 7680 7950 8000 8145 8192 8480 8688 9000 9050 9216 9363 9375 9540 9593 9600 10000 10176 10240 10600 10860 11250 11520 11584 11925 12000 12288 12484 12500 12720 12800 13032 13250 13568 13575 14400 14480 15000 15264 15360 15605 15625 15900 16000 16290 16384 16960 17376 18000 18100 18432 18726 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17245297728000000 22993730304000000 27592476364800000 34490595456000000 45987460608000000 68981190912000000 137962381824000000
- Sum of all divisors σ(n): 510551060493244680
- Sum of proper divisors (its aliquot sum) s(n): 372588678669244680
- 137962381824000000 is an abundant number, because the sum of its proper divisors (372588678669244680) is greater than itself. Its abundance is 234626296845244680
Bases of 137962381824000000
- Binary: 1111010100010010000001110001010001111110010000000000000002
- Hexadecimal: 0x1EA240E28FC8000
- Base-36: 11QFKZ92VB40
Squares and roots of 137962381824000000
- 137962381824000000 squared (1379623818240000002) is 19033618798551165566976000000000000
- 137962381824000000 cubed (1379623818240000003) is 2625923384178180041951384357044224000000000000000000
-
The
square root of 137962381824000000 is 371432876.6062584289 -
The
cube root of 137962381824000000 is 516717.9650417439
Scales and comparisons
How big is 137962381824000000?- 137,962,381,824,000,000 seconds is equal to 4,386,776,996 years, 17 weeks, 3 days, 16 hours.
-
To count from 1 to 137,962,381,824,000,000 would take you about thirteen billion, one hundred sixty million, three hundred thirty thousand, nine hundred eighty-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 137962381824000000 cubic inches would be around 43059.8 feet tall.
Recreational maths with 137962381824000000
- 137962381824000000 backwards is 000000428183269731
- The number of decimal digits it has is: 18
- The sum of 137962381824000000's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 137962381824000000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/137962381824000000/
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The information we have on file for 137962381824000000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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