428135149977600000
428,135,149,977,600,000 is an even composite number composed of six prime numbers multiplied together.
428135149977600000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, eight hundred eighty-eight divisors.
Prime factorization of 428135149977600000:
217 × 3 × 55 × 13 × 312 × 1672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 13 × 31 × 31 × 167 × 167)See below for interesting mathematical facts about the number 428135149977600000 from the Numbermatics database.
Names of 428135149977600000
- Cardinal: 428135149977600000 can be written as Four hundred twenty-eight quadrillion, one hundred thirty-five trillion, one hundred forty-nine billion, nine hundred seventy-seven million, six hundred thousand.
Scientific notation
- Scientific notation: 4.281351499776 × 1017
Factors of 428135149977600000
Divisors of 428135149977600000
- Number of divisors d(n): 3888
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 32 39 40 48 50 52 60 62 64 65 75 78 80 93 96 100 104 120 124 125 128 130 150 155 156 160 167 186 192 195 200 208 240 248 250 256 260 300 310 312 320 325 334 372 375 384 390 400 403 416 465 480 496 500 501 512 520 600 620 624 625 640 650 668 744 750 768 775 780 800 806 832 835 930 960 961 975 992 1000 1002 1024 1040 1200 1209 1240 1248 1250 1280 1300 1336 1488 1500 1536 1550 1560 1600 1612 1625 1664 1670 1860 1875 1920 1922 1950 1984 2000 2004 2015 2048 2080 2171 2325 2400 2418 2480 2496 2500 2505 2560 2600 2672 2883 2976 3000 3072 3100 3120 3125 3200 3224 3250 3328 3340 3720 3750 3840 3844 3875 3900 3968 4000 4008 4030 4096 4160 4175 4342 4650 4800 4805 4836 4875 4960 4992 5000 5010 5120 5177 5200 5344 5766 5952 6000 6045 6144 6200 6240 6250 6400 6448 6500 6513 6656 6680 7440 7500 7680 7688 7750 7800 7936 8000 8016 8060 8125 8192 8320 8350 8684 9300 9375 9600 9610 9672 9750 9920 9984 10000 10020 10075 10240 10354 10400 10688 10855 11532 11625 11904 12000 12090 12288 12400 12480 12493 12500 12525 12800 12896 13000 13026 13312 13360 14415 14880 15000 15360 15376 15500 15531 15600 15872 16000 16032 16120 16250 16384 16640 16700 17368 18600 18750 19200 19220 19344 19375 19500 19840 19968 20000 20040 20150 20480 20708 20800 20875 21376 21710 23064 23250 23808 24000 24025 24180 24375 24576 24800 24960 24986 25000 25050 25600 25792 25885 26000 26052 26624 26720 27889 28830 29760 30000 30225 30720 30752 31000 31062 31200 31744 32000 32064 32240 32500 32565 32768 33280 33400 34736 37200 37479 37500 38400 38440 38688 38750 39000 39680 39936 40000 40080 40300 40625 40960 41416 41600 41750 42752 43420 46128 46500 47616 48000 48050 48360 48750 49152 49600 49920 49972 50000 50100 50375 51200 51584 51770 52000 52104 53248 53440 54275 55778 57660 58125 59520 60000 60450 61440 61504 62000 62124 62400 62465 62625 63488 64000 64128 64480 65000 65130 65536 66560 66800 67301 69472 72075 74400 74958 75000 76800 76880 77376 77500 77655 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21406757498880000 26758446873600000 28542343331840000 32933473075200000 35677929164800000 42813514997760000 53516893747200000 71355858329600000 85627029995520000 107033787494400000 142711716659200000 214067574988800000 428135149977600000
- Sum of all divisors σ(n): 1597529960776140048
- Sum of proper divisors (its aliquot sum) s(n): 1169394810798540048
- 428135149977600000 is an abundant number, because the sum of its proper divisors (1169394810798540048) is greater than itself. Its abundance is 741259660820940048
Bases of 428135149977600000
- Binary: 101111100010000101010100110100010100100011000000000000000002
- Hexadecimal: 0x5F10AA68A460000
- Base-36: 393L8SNYO2DC
Squares and roots of 428135149977600000
- 428135149977600000 squared (4281351499776000002) is 183299706646342045280501760000000000
- 428135149977600000 cubed (4281351499776000003) is 78477047395881735078596351278580760576000000000000000
-
The
square root of 428135149977600000 is 654320372.5833393307 -
The
cube root of 428135149977600000 is 753691.5189450931
Scales and comparisons
How big is 428135149977600000?- 428,135,149,977,600,000 seconds is equal to 13,613,373,460 years, 16 weeks, 3 days, 13 hours, 20 minutes.
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To count from 1 to 428,135,149,977,600,000 would take you about forty billion, eight hundred forty million, one hundred twenty thousand, three hundred eighty 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 428135149977600000 cubic inches would be around 62807.6 feet tall.
Recreational maths with 428135149977600000
- 428135149977600000 backwards is 000006779941531824
- The number of decimal digits it has is: 18
- The sum of 428135149977600000's digits is 66
- More coming soon!
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The information we have on file for 428135149977600000 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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