47680116427728000
47,680,116,427,728,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 47680116427728000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4032 divisors.
47680116427728000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand and thirty-two divisors.
Prime factorization of 47680116427728000:
27 × 36 × 53 × 232 × 37 × 4572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 23 × 23 × 37 × 457 × 457)See below for interesting mathematical facts about the number 47680116427728000 from the Numbermatics database.
Names of 47680116427728000
- Cardinal: 47680116427728000 can be written as Forty-seven quadrillion, six hundred eighty trillion, one hundred sixteen billion, four hundred twenty-seven million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.7680116427728 × 1016
Factors of 47680116427728000
Divisors of 47680116427728000
- Number of divisors d(n): 4032
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 30 32 36 37 40 45 46 48 50 54 60 64 69 72 74 75 80 81 90 92 96 100 108 111 115 120 125 128 135 138 144 148 150 160 162 180 184 185 192 200 207 216 222 225 230 240 243 250 270 276 288 296 300 320 324 333 345 360 368 370 375 384 400 405 414 432 444 450 457 460 480 486 500 529 540 552 555 575 576 592 600 621 640 648 666 675 690 720 729 736 740 750 800 810 828 851 864 888 900 914 920 925 960 972 999 1000 1035 1058 1080 1104 1110 1125 1150 1152 1184 1200 1215 1242 1296 1332 1350 1371 1380 1440 1458 1472 1480 1500 1587 1600 1620 1656 1665 1702 1725 1728 1776 1800 1828 1840 1850 1863 1920 1944 1998 2000 2025 2070 2116 2160 2208 2220 2250 2285 2300 2368 2400 2430 2484 2553 2592 2645 2664 2700 2742 2760 2775 2875 2880 2916 2944 2960 2997 3000 3105 3174 3200 3240 3312 3330 3375 3404 3450 3456 3552 3600 3645 3656 3680 3700 3726 3888 3996 4000 4050 4113 4140 4232 4255 4320 4416 4440 4500 4570 4600 4625 4736 4761 4800 4860 4968 4995 5106 5175 5184 5290 5328 5400 5484 5520 5550 5589 5750 5760 5832 5920 5994 6000 6075 6210 6348 6480 6624 6660 6750 6808 6855 6900 7104 7200 7290 7312 7360 7400 7452 7659 7776 7935 7992 8000 8100 8226 8280 8325 8464 8510 8625 8640 8832 8880 8991 9000 9140 9200 9250 9315 9522 9600 9720 9936 9990 10125 10212 10350 10368 10511 10580 10656 10800 10968 11040 11100 11178 11425 11500 11664 11840 11988 12000 12150 12339 12420 12696 12765 12960 13225 13248 13320 13500 13616 13710 13800 13875 14208 14283 14400 14580 14624 14720 14800 14904 14985 15318 15525 15552 15870 15984 16000 16200 16452 16560 16650 16767 16909 16928 17020 17250 17280 17760 17982 18000 18225 18280 18400 18500 18630 19044 19440 19573 19872 19980 20250 20424 20565 20700 21022 21160 21275 21312 21600 21936 22080 22200 22356 22850 22977 23000 23328 23680 23805 23976 24000 24300 24678 24840 24975 25392 25530 25875 25920 26450 26496 26640 26973 27000 27232 27420 27600 27750 27945 28566 28800 29160 29248 29600 29808 29970 30375 30636 31050 31104 31533 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372500909591625 381440931421824 397334303564400 414609708067200 429550598448000 441482559516000 476801164277280 496667879455500 518262135084000 529779071419200 588643412688000 596001455346600 635734885703040 644325897672000 662223839274000 691016180112000 745001819183250 794668607128800 882965119032000 953602328554560 993335758911000 1036524270168000 1059558142838400 1192002910693200 1288651795344000 1324447678548000 1490003638366500 1589337214257600 1765930238064000 1907204657109120 1986671517822000 2073048540336000 2384005821386400 2648895357096000 2980007276733000 3178674428515200 3973343035644000 4768011642772800 5297790714192000 5960014553466000 7946686071288000 9536023285545600 11920029106932000 15893372142576000 23840058213864000 47680116427728000
- Sum of all divisors σ(n): 191239421663482920
- Sum of proper divisors (its aliquot sum) s(n): 143559305235754920
- 47680116427728000 is an abundant number, because the sum of its proper divisors (143559305235754920) is greater than itself. Its abundance is 95879188808026920
Bases of 47680116427728000
- Binary: 101010010110010011010000001100101000011000100100100000002
- Hexadecimal: 0xA964D032862480
- Base-36: D1H6V3KY000
Squares and roots of 47680116427728000
- 47680116427728000 squared (476801164277280002) is 2273393502561697495847241984000000
- 47680116427728000 cubed (476801164277280003) is 108395666888182089822615762580939263332352000000000
-
The
square root of 47680116427728000 is 218357771.6220057051 -
The
cube root of 47680116427728000 is 362615.0032011891
Scales and comparisons
How big is 47680116427728000?- 47,680,116,427,728,000 seconds is equal to 1,516,080,218 years, 6 weeks, 1 day.
-
To count from 1 to 47,680,116,427,728,000 would take you about four billion, five hundred forty-eight million, two hundred forty thousand, six hundred fifty-four 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 47680116427728000 cubic inches would be around 30217.9 feet tall.
Recreational maths with 47680116427728000
- 47680116427728000 backwards is 00082772461108674
- The number of decimal digits it has is: 17
- The sum of 47680116427728000's digits is 63
- More coming soon!
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The information we have on file for 47680116427728000 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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