428007444084480000
428,007,444,084,480,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 428007444084480000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3840 divisors.
428007444084480000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 428007444084480000:
211 × 3 × 54 × 13 × 37 × 41 × 1861 × 3037
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 13 × 37 × 41 × 1861 × 3037)See below for interesting mathematical facts about the number 428007444084480000 from the Numbermatics database.
Names of 428007444084480000
- Cardinal: 428007444084480000 can be written as Four hundred twenty-eight quadrillion, seven trillion, four hundred forty-four billion, eighty-four million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 4.2800744408448 × 1017
Factors of 428007444084480000
Divisors of 428007444084480000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 37 39 40 41 48 50 52 60 64 65 74 75 78 80 82 96 100 104 111 120 123 125 128 130 148 150 156 160 164 185 192 195 200 205 208 222 240 246 250 256 260 296 300 312 320 325 328 370 375 384 390 400 410 416 444 480 481 492 500 512 520 533 555 592 600 615 624 625 640 650 656 740 750 768 780 800 820 832 888 925 960 962 975 984 1000 1024 1025 1040 1066 1110 1184 1200 1230 1248 1250 1280 1300 1312 1443 1480 1500 1517 1536 1560 1599 1600 1625 1640 1664 1776 1850 1861 1875 1920 1924 1950 1968 2000 2048 2050 2080 2132 2220 2368 2400 2405 2460 2496 2500 2560 2600 2624 2665 2775 2886 2960 3000 3034 3037 3072 3075 3120 3198 3200 3250 3280 3328 3552 3700 3722 3750 3840 3848 3900 3936 4000 4100 4160 4264 4440 4551 4625 4736 4800 4810 4875 4920 4992 5000 5120 5125 5200 5248 5330 5550 5583 5772 5920 6000 6068 6074 6144 6150 6240 6396 6400 6500 6560 6656 7104 7215 7400 7444 7500 7585 7680 7696 7800 7872 7995 8000 8125 8200 8320 8528 8880 9102 9111 9250 9305 9472 9600 9620 9750 9840 9984 10000 10240 10250 10400 10496 10660 11100 11166 11544 11840 12000 12025 12136 12148 12300 12480 12792 12800 13000 13120 13312 13325 13875 14208 14430 14800 14888 15000 15170 15185 15360 15375 15392 15600 15744 15990 16000 16250 16400 16640 17056 17760 18204 18222 18500 18610 18944 19200 19240 19500 19680 19721 19968 20000 20500 20800 20992 21320 22200 22332 22755 23088 23125 23680 24000 24050 24193 24272 24296 24375 24600 24960 25584 25600 25625 26000 26240 26624 26650 27750 27915 28416 28860 29600 29776 30000 30340 30370 30720 30750 30784 31200 31488 31980 32000 32500 32800 33280 34112 35520 36075 36408 36444 37000 37220 37888 37925 38400 38480 39000 39360 39442 39481 39936 39975 40000 41000 41600 41984 42640 44400 44664 45510 45555 46176 46250 46525 47360 48000 48100 48386 48544 48592 48750 49200 49920 51168 51200 51250 52000 52480 53300 55500 55830 56832 57720 59163 59200 59552 60000 60125 60680 60740 61500 61568 62400 62976 63960 64000 65000 65600 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- Sum of all divisors σ(n): 1616937748924417920
- Sum of proper divisors (its aliquot sum) s(n): 1188930304839937920
- 428007444084480000 is an abundant number, because the sum of its proper divisors (1188930304839937920) is greater than itself. Its abundance is 760922860755457920
Bases of 428007444084480000
- Binary: 101111100001001011010000000101100011110000011011000000000002
- Hexadecimal: 0x5F09680B1E0D800
- Base-36: 392BZ5DZ68LC
Squares and roots of 428007444084480000
- 428007444084480000 squared (4280074440844800002) is 183190372191729273745376870400000000
- 428007444084480000 cubed (4280074440844800003) is 78406842982666647038492350162632695611392000000000000
-
The
square root of 428007444084480000 is 654222778.6346788461 -
The
cube root of 428007444084480000 is 753616.5734361135
Scales and comparisons
How big is 428007444084480000?- 428,007,444,084,480,000 seconds is equal to 13,609,312,807 years, 48 weeks, 4 days, 21 hours, 20 minutes.
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To count from 1 to 428,007,444,084,480,000 would take you about forty billion, eight hundred twenty-seven million, nine hundred thirty-eight thousand, four hundred twenty-three 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 428007444084480000 cubic inches would be around 62801.4 feet tall.
Recreational maths with 428007444084480000
- 428007444084480000 backwards is 000084480444700824
- The number of decimal digits it has is: 18
- The sum of 428007444084480000's digits is 57
- More coming soon!
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The information we have on file for 428007444084480000 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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