3978427964160000
3,978,427,964,160,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3978427964160000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
3978427964160000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 3978427964160000:
211 × 3 × 54 × 13 × 61 × 97 × 13469
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 13 × 61 × 97 × 13469)See below for interesting mathematical facts about the number 3978427964160000 from the Numbermatics database.
Names of 3978427964160000
- Cardinal: 3978427964160000 can be written as Three quadrillion, nine hundred seventy-eight trillion, four hundred twenty-seven billion, nine hundred sixty-four million, one hundred sixty thousand.
Scientific notation
- Scientific notation: 3.97842796416 × 1015
Factors of 3978427964160000
Divisors of 3978427964160000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 61 64 65 75 78 80 96 97 100 104 120 122 125 128 130 150 156 160 183 192 194 195 200 208 240 244 250 256 260 291 300 305 312 320 325 366 375 384 388 390 400 416 480 485 488 500 512 520 582 600 610 624 625 640 650 732 750 768 776 780 793 800 832 915 960 970 975 976 1000 1024 1040 1164 1200 1220 1248 1250 1261 1280 1300 1455 1464 1500 1525 1536 1552 1560 1586 1600 1625 1664 1830 1875 1920 1940 1950 1952 2000 2048 2080 2328 2379 2400 2425 2440 2496 2500 2522 2560 2600 2910 2928 3000 3050 3072 3104 3120 3172 3200 3250 3328 3660 3750 3783 3840 3880 3900 3904 3965 4000 4160 4575 4656 4758 4800 4850 4875 4880 4992 5000 5044 5120 5200 5820 5856 5917 6000 6100 6144 6208 6240 6305 6344 6400 6500 6656 7275 7320 7500 7566 7625 7680 7760 7800 7808 7930 8000 8125 8320 9150 9312 9516 9600 9700 9750 9760 9984 10000 10088 10240 10400 11640 11712 11834 11895 12000 12125 12200 12416 12480 12610 12688 12800 13000 13312 13469 14550 14640 15000 15132 15250 15360 15520 15600 15616 15860 16000 16250 16640 17751 18300 18624 18915 19032 19200 19400 19500 19520 19825 19968 20000 20176 20800 22875 23280 23424 23668 23790 24000 24250 24375 24400 24832 24960 25220 25376 25600 26000 26624 26938 29100 29280 29585 30000 30264 30500 30720 31040 31200 31232 31525 31720 32000 32500 33280 35502 36375 36600 37248 37830 38064 38125 38400 38800 39000 39040 39650 39936 40000 40352 40407 41600 45750 46560 46848 47336 47580 48000 48500 48750 48800 49664 49920 50440 50752 51200 52000 53876 58200 58560 59170 59475 60000 60528 60625 61000 62080 62400 62464 63050 63440 64000 65000 66560 67345 71004 72750 73200 74496 75660 76128 76250 76800 76921 77600 78000 78080 79300 79872 80000 80704 80814 83200 88755 91500 93120 93696 94575 94672 95160 96000 97000 97500 97600 99125 99328 99840 100880 101504 104000 107752 114375 116400 117120 118340 118950 120000 121056 121250 122000 124160 124800 124928 126100 126880 128000 130000 133120 134690 142008 145500 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12432587388000 12751371680000 13044026112000 13261426547200 13671573760000 15301646016000 15540734235000 15913711856640 16305032640000 16576783184000 19127057520000 19892139820800 20402194688000 20507360640000 20720978980000 21740043520000 24865174776000 25502743360000 26522853094400 30603292032000 31081468470000 31827423713280 32610065280000 33153566368000 38254115040000 39784279641600 41014721280000 41441957960000 49730349552000 51005486720000 53045706188800 61206584064000 62162936940000 65220130560000 66307132736000 76508230080000 79568559283200 82883915920000 99460699104000 102010973440000 124325873880000 132614265472000 153016460160000 159137118566400 165767831840000 198921398208000 248651747760000 265228530944000 306032920320000 331535663680000 397842796416000 497303495520000 663071327360000 795685592832000 994606991040000 1326142654720000 1989213982080000 3978427964160000
- Sum of all divisors σ(n): 14658121860782400
- Sum of proper divisors (its aliquot sum) s(n): 10679693896622400
- 3978427964160000 is an abundant number, because the sum of its proper divisors (10679693896622400) is greater than itself. Its abundance is 6701265932462400
Bases of 3978427964160000
- Binary: 11100010001001011011111100011001000101111000000000002
- Hexadecimal: 0xE225BF1917800
- Base-36: 1368GKPW7PC
Squares and roots of 3978427964160000
- 3978427964160000 squared (39784279641600002) is 15827889066010282244505600000000
- 3978427964160000 cubed (39784279641600003) is 62970116473837611043635409553719296000000000000
-
The
square root of 3978427964160000 is 63074780.7301777309 -
The
cube root of 3978427964160000 is 158454.2283973311
Scales and comparisons
How big is 3978427964160000?- 3,978,427,964,160,000 seconds is equal to 126,501,703 years, 9 weeks, 13 hours, 20 minutes.
-
To count from 1 to 3,978,427,964,160,000 would take you about three hundred seventy-nine million, five hundred five thousand, one hundred 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 3978427964160000 cubic inches would be around 13204.5 feet tall.
Recreational maths with 3978427964160000
- 3978427964160000 backwards is 0000614697248793
- The number of decimal digits it has is: 16
- The sum of 3978427964160000's digits is 66
- More coming soon!
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"Number 3978427964160000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 3978427964160000 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/3978427964160000/
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The information we have on file for 3978427964160000 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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