40998807003648000000
40,998,807,003,648,000,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 40998807003648000000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 7168 divisors.
40998807003648000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven thousand, one hundred sixty-eight divisors.
Prime factorization of 40998807003648000000:
215 × 3 × 56 × 13 × 313 × 413
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 13 × 31 × 31 × 31 × 41 × 41 × 41)See below for interesting mathematical facts about the number 40998807003648000000 from the Numbermatics database.
Names of 40998807003648000000
- Cardinal: 40998807003648000000 can be written as Forty quintillion, nine hundred ninety-eight quadrillion, eight hundred seven trillion, three billion, six hundred forty-eight million.
Scientific notation
- Scientific notation: 4.0998807003648 × 1019
Factors of 40998807003648000000
Divisors of 40998807003648000000
- Number of divisors d(n): 7168
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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 31 32 39 40 41 48 50 52 60 62 64 65 75 78 80 82 93 96 100 104 120 123 124 125 128 130 150 155 156 160 164 186 192 195 200 205 208 240 246 248 250 256 260 300 310 312 320 325 328 372 375 384 390 400 403 410 416 465 480 492 496 500 512 520 533 600 615 620 624 625 640 650 656 744 750 768 775 780 800 806 820 832 930 960 961 975 984 992 1000 1024 1025 1040 1066 1200 1209 1230 1240 1248 1250 1271 1280 1300 1312 1488 1500 1536 1550 1560 1599 1600 1612 1625 1640 1664 1681 1860 1875 1920 1922 1950 1968 1984 2000 2015 2048 2050 2080 2132 2325 2400 2418 2460 2480 2496 2500 2542 2560 2600 2624 2665 2883 2976 3000 3072 3075 3100 3120 3125 3198 3200 3224 3250 3280 3328 3362 3720 3750 3813 3840 3844 3875 3900 3936 3968 4000 4030 4096 4100 4160 4264 4650 4800 4805 4836 4875 4920 4960 4992 5000 5043 5084 5120 5125 5200 5248 5330 5766 5952 6000 6045 6144 6150 6200 6240 6250 6355 6396 6400 6448 6500 6560 6656 6724 7440 7500 7626 7680 7688 7750 7800 7872 7936 7995 8000 8060 8125 8192 8200 8320 8405 8528 9300 9375 9600 9610 9672 9750 9840 9920 9984 10000 10075 10086 10168 10240 10250 10400 10496 10660 11532 11625 11904 12000 12090 12288 12300 12400 12480 12493 12500 12710 12792 12800 12896 13000 13120 13312 13325 13448 14415 14880 15000 15252 15360 15375 15376 15500 15600 15625 15744 15872 15990 16000 16120 16250 16384 16400 16523 16640 16810 17056 18600 18750 19065 19200 19220 19344 19375 19500 19680 19840 19968 20000 20150 20172 20336 20480 20500 20800 20992 21320 21853 23064 23250 23808 24000 24025 24180 24375 24576 24600 24800 24960 24986 25000 25215 25420 25584 25600 25625 25792 26000 26240 26624 26650 26896 28830 29760 29791 30000 30225 30504 30720 30750 30752 31000 31200 31250 31488 31744 31775 31980 32000 32240 32500 32768 32800 33046 33280 33620 34112 37200 37479 37500 38130 38400 38440 38688 38750 39000 39360 39401 39680 39936 39975 40000 40300 40344 40625 40672 40960 41000 41600 41984 42025 42640 43706 46128 46500 46875 47616 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- Sum of all divisors σ(n): 155878473091804968960
- Sum of proper divisors (its aliquot sum) s(n): 114879666088156968960
- 40998807003648000000 is an abundant number, because the sum of its proper divisors (114879666088156968960) is greater than itself. Its abundance is 73880859084508968960
Bases of 40998807003648000000
- Binary: 1000111000111110010000010110111111101100110011110010000000000000002
- Hexadecimal: 0x238F905BFB33C8000
- Base-36: 8NHMO4YY8HN9C
Squares and roots of 40998807003648000000
- 40998807003648000000 squared (409988070036480000002) is 1680902175722376295885307904000000000000
- 40998807003648000000 cubed (409988070036480000003) is 68914983894453722473411861619060131233792000000000000000000
-
The
square root of 40998807003648000000 is 6403031079.3910722669 -
The
cube root of 40998807003648000000 is 3448183.7952568047
Scales and comparisons
How big is 40998807003648000000?- 40,998,807,003,648,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 40,998,807,003,648,000,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 40998807003648000000 cubic inches would be around 287348.6 feet tall.
Recreational maths with 40998807003648000000
- 40998807003648000000 backwards is 00000084630070889904
- The number of decimal digits it has is: 20
- The sum of 40998807003648000000's digits is 66
- More coming soon!
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The information we have on file for 40998807003648000000 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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