428420668824400000
428,420,668,824,400,000 is an even composite number composed of five prime numbers multiplied together.
428420668824400000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, three hundred sixty divisors.
Prime factorization of 428420668824400000:
27 × 55 × 76 × 174 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 17 × 17 × 17 × 17 × 109)See below for interesting mathematical facts about the number 428420668824400000 from the Numbermatics database.
Names of 428420668824400000
- Cardinal: 428420668824400000 can be written as Four hundred twenty-eight quadrillion, four hundred twenty trillion, six hundred sixty-eight billion, eight hundred twenty-four million, four hundred thousand.
Scientific notation
- Scientific notation: 4.284206688244 × 1017
Factors of 428420668824400000
Divisors of 428420668824400000
- Number of divisors d(n): 3360
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 49 50 56 64 68 70 80 85 98 100 109 112 119 125 128 136 140 160 170 175 196 200 218 224 238 245 250 272 280 289 320 340 343 350 392 400 425 436 448 476 490 500 544 545 560 578 595 625 640 680 686 700 763 784 800 833 850 872 875 896 952 980 1000 1088 1090 1120 1156 1190 1225 1250 1360 1372 1400 1445 1526 1568 1600 1666 1700 1715 1744 1750 1853 1904 1960 2000 2023 2125 2176 2180 2240 2312 2380 2401 2450 2500 2720 2725 2744 2800 2890 2975 3052 3125 3136 3200 3332 3400 3430 3488 3500 3706 3808 3815 3920 4000 4046 4165 4250 4360 4375 4480 4624 4760 4802 4900 4913 5000 5341 5440 5450 5488 5600 5780 5831 5950 6104 6125 6250 6272 6664 6800 6860 6976 7000 7225 7412 7616 7630 7840 8000 8092 8330 8500 8575 8720 8750 9248 9265 9520 9604 9800 9826 10000 10115 10625 10682 10880 10900 10976 11200 11560 11662 11900 12005 12208 12250 12500 12971 13328 13600 13625 13720 13952 14000 14161 14450 14824 14875 15232 15260 15680 16000 16184 16660 16807 17000 17150 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1713682675297600 1748655791120000 1800086843800000 1912592271537500 1965232425800000 2142103344122000 2185819738900000 2448118107568000 2520121581320000 2677629180152500 3060147634460000 3150151976650000 3347036475190625 3427365350595200 3600173687600000 3825184543075000 3930464851600000 4284206688244000 4371639477800000 5040243162640000 5355258360305000 6120295268920000 6300303953300000 6694072950381250 7650369086150000 8568413376488000 8743278955600000 10710516720610000 12240590537840000 12600607906600000 13388145900762500 15300738172300000 17136826752976000 21421033441220000 25201215813200000 26776291801525000 30601476344600000 42842066882440000 53552583603050000 61202952689200000 85684133764880000 107105167206100000 214210334412200000 428420668824400000
- Sum of all divisors σ(n): 1334516430825062100
- Sum of proper divisors (its aliquot sum) s(n): 906095762000662100
- 428420668824400000 is an abundant number, because the sum of its proper divisors (906095762000662100) is greater than itself. Its abundance is 477675093176262100
Bases of 428420668824400000
- Binary: 101111100100000111001010100000100111011011010110000100000002
- Hexadecimal: 0x5F20E5413B6B080
- Base-36: 396EGA7O6AV4
Squares and roots of 428420668824400000
- 428420668824400000 squared (4284206688244000002) is 183544269475946222078035360000000000
- 428420668824400000 cubed (4284206688244000003) is 78634158687770786150718322539952830784000000000000000
-
The
square root of 428420668824400000 is 654538515.9212557753 -
The
cube root of 428420668824400000 is 753859.0247076829
Scales and comparisons
How big is 428420668824400000?- 428,420,668,824,400,000 seconds is equal to 13,622,452,076 years, 24 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 428,420,668,824,400,000 would take you about forty billion, eight hundred sixty-seven million, three hundred fifty-six thousand, two hundred twenty-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 428420668824400000 cubic inches would be around 62821.6 feet tall.
Recreational maths with 428420668824400000
- 428420668824400000 backwards is 000004428866024824
- The number of decimal digits it has is: 18
- The sum of 428420668824400000's digits is 58
- More coming soon!
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"Number 428420668824400000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 428420668824400000 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/428420668824400000/
Chicago style:
Numbermatics. 2024. "Number 428420668824400000 - Facts about the integer". https://numbermatics.com/n/428420668824400000/
The information we have on file for 428420668824400000 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 428420668824400000, math, Factors of 428420668824400000, curriculum, school, college, exams, university, Prime factorization of 428420668824400000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight quadrillion, four hundred twenty trillion, six hundred sixty-eight billion, eight hundred twenty-four million, four hundred thousand.