427113993461760000
427,113,993,461,760,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 427113993461760000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 5100 divisors.
427113993461760000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five thousand, one hundred divisors.
Prime factorization of 427113993461760000:
216 × 34 × 54 × 113 × 3112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 311 × 311)See below for interesting mathematical facts about the number 427113993461760000 from the Numbermatics database.
Names of 427113993461760000
- Cardinal: 427113993461760000 can be written as Four hundred twenty-seven quadrillion, one hundred thirteen trillion, nine hundred ninety-three billion, four hundred sixty-one million, seven hundred sixty thousand.
Scientific notation
- Scientific notation: 4.2711399346176 × 1017
Factors of 427113993461760000
Divisors of 427113993461760000
- Number of divisors d(n): 5100
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 121 125 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 242 250 256 264 270 275 288 297 300 311 320 324 330 352 360 363 375 384 396 400 405 432 440 450 480 484 495 500 512 528 540 550 576 594 600 605 622 625 640 648 660 675 704 720 726 750 768 792 800 810 825 864 880 891 900 933 960 968 990 1000 1024 1056 1080 1089 1100 1125 1152 1188 1200 1210 1244 1250 1280 1296 1320 1331 1350 1375 1408 1440 1452 1485 1500 1536 1555 1584 1600 1620 1650 1728 1760 1782 1800 1815 1866 1875 1920 1936 1980 2000 2025 2048 2112 2160 2178 2200 2250 2304 2376 2400 2420 2475 2488 2500 2560 2592 2640 2662 2700 2750 2799 2816 2880 2904 2970 3000 3025 3072 3110 3168 3200 3240 3267 3300 3375 3421 3456 3520 3564 3600 3630 3732 3750 3840 3872 3960 3993 4000 4050 4096 4125 4224 4320 4356 4400 4455 4500 4608 4665 4752 4800 4840 4950 4976 5000 5120 5184 5280 5324 5400 5445 5500 5598 5625 5632 5760 5808 5940 6000 6050 6144 6220 6336 6400 6480 6534 6600 6655 6750 6842 6875 6912 7040 7128 7200 7260 7425 7464 7500 7680 7744 7775 7920 7986 8000 8100 8192 8250 8397 8448 8640 8712 8800 8910 9000 9075 9216 9330 9504 9600 9680 9801 9900 9952 10000 10125 10240 10263 10368 10560 10648 10800 10890 11000 11196 11250 11264 11520 11616 11880 11979 12000 12100 12288 12375 12440 12672 12800 12960 13068 13200 13310 13500 13684 13750 13824 13995 14080 14256 14400 14520 14850 14928 15000 15125 15360 15488 15550 15840 15972 16000 16200 16335 16384 16500 16794 16875 16896 17105 17280 17424 17600 17820 18000 18150 18432 18660 19008 19200 19360 19602 19800 19904 19965 20000 20250 20480 20526 20625 20736 21120 21296 21600 21780 22000 22275 22392 22500 22528 23040 23232 23325 23760 23958 24000 24200 24576 24750 24880 25191 25344 25600 25920 26136 26400 26620 27000 27225 27368 27500 27648 27990 28160 28512 28800 29040 29700 29856 30000 30250 30720 30789 30976 31100 31680 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3954759198720000 4271139934617600 4314282762240000 4449104098560000 4745711038464000 4853568107520000 5273012264960000 5338924918272000 5694853246156800 5932138798080000 6471424143360000 6673656147840000 7118566557696000 7765708972032000 7909518397440000 8542279869235200 8898208197120000 9491422076928000 9707136215040000 10677849836544000 11864277596160000 12942848286720000 13347312295680000 14237133115392000 15819036794880000 17084559738470400 17796416394240000 19414272430080000 21355699673088000 23728555192320000 26694624591360000 28474266230784000 35592832788480000 38828544860160000 42711399346176000 47457110384640000 53389249182720000 71185665576960000 85422798692352000 106778498365440000 142371331153920000 213556996730880000 427113993461760000
- Sum of all divisors σ(n): 1759557860692234152
- Sum of proper divisors (its aliquot sum) s(n): 1332443867230474152
- 427113993461760000 is an abundant number, because the sum of its proper divisors (1332443867230474152) is greater than itself. Its abundance is 905329873768714152
Bases of 427113993461760000
- Binary: 101111011010110100111101010000000101110001100000000000000002
- Hexadecimal: 0x5ED69EA02E30000
- Base-36: 38TJ9VU6M800
Squares and roots of 427113993461760000
- 427113993461760000 squared (4271139934617600002) is 182426363410852364028582297600000000
- 427113993461760000 cubed (4271139934617600003) is 77916852589115450302332538870888478539776000000000000
-
The
square root of 427113993461760000 is 653539588.2896153981 -
The
cube root of 427113993461760000 is 753091.8253580525
Scales and comparisons
How big is 427113993461760000?- 427,113,993,461,760,000 seconds is equal to 13,580,903,841 years, 39 weeks, 3 days.
-
To count from 1 to 427,113,993,461,760,000 would take you about forty billion, seven hundred forty-two million, seven hundred eleven thousand, five hundred twenty-five 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 427113993461760000 cubic inches would be around 62757.7 feet tall.
Recreational maths with 427113993461760000
- 427113993461760000 backwards is 000067164399311724
- The number of decimal digits it has is: 18
- The sum of 427113993461760000's digits is 63
- More coming soon!
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MLA style:
"Number 427113993461760000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 427113993461760000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/427113993461760000/
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Numbermatics. 2024. "Number 427113993461760000 - Facts about the integer". https://numbermatics.com/n/427113993461760000/
The information we have on file for 427113993461760000 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!
Keywords: Divisors of 427113993461760000, math, Factors of 427113993461760000, curriculum, school, college, exams, university, Prime factorization of 427113993461760000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-seven quadrillion, one hundred thirteen trillion, nine hundred ninety-three billion, four hundred sixty-one million, seven hundred sixty thousand.