48378096000
48,378,096,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 48378096000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
48378096000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 48378096000:
27 × 32 × 53 × 13 × 43 × 601
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 43 × 601)See below for interesting mathematical facts about the number 48378096000 from the Numbermatics database.
Names of 48378096000
- Cardinal: 48378096000 can be written as Forty-eight billion, three hundred seventy-eight million, ninety-six thousand.
Scientific notation
- Scientific notation: 4.8378096 × 1010
Factors of 48378096000
Divisors of 48378096000
- Number of divisors d(n): 768
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 43 45 48 50 52 60 64 65 72 75 78 80 86 90 96 100 104 117 120 125 128 129 130 144 150 156 160 172 180 192 195 200 208 215 225 234 240 250 258 260 288 300 312 320 325 344 360 375 384 387 390 400 416 430 450 468 480 500 516 520 559 576 585 600 601 624 640 645 650 688 720 750 774 780 800 832 860 900 936 960 975 1000 1032 1040 1075 1118 1125 1152 1170 1200 1202 1248 1290 1300 1376 1440 1500 1548 1560 1600 1625 1664 1677 1720 1800 1803 1872 1920 1935 1950 2000 2064 2080 2150 2236 2250 2340 2400 2404 2496 2580 2600 2752 2795 2880 2925 3000 3005 3096 3120 3200 3225 3250 3354 3440 3600 3606 3744 3870 3900 4000 4128 4160 4300 4472 4500 4680 4800 4808 4875 4992 5031 5160 5200 5375 5409 5504 5590 5760 5850 6000 6010 6192 6240 6450 6500 6708 6880 7200 7212 7488 7740 7800 7813 8000 8256 8320 8385 8600 8944 9000 9015 9360 9600 9616 9675 9750 10062 10320 10400 10750 10818 11180 11700 12000 12020 12384 12480 12900 13000 13416 13760 13975 14400 14424 14625 14976 15025 15480 15600 15626 16000 16125 16512 16770 17200 17888 18000 18030 18720 19232 19350 19500 20124 20640 20800 21500 21636 22360 23400 23439 24000 24040 24768 24960 25155 25800 25843 26000 26832 27045 27520 27950 28800 28848 29250 30050 30960 31200 31252 32250 33540 34400 35776 36000 36060 37440 38464 38700 39000 39065 40248 41280 41600 41925 43000 43272 44720 45075 46800 46878 48000 48080 48375 49536 50310 51600 51686 52000 53664 54090 55900 57696 58500 60100 61920 62400 62504 64500 67080 68800 69875 70317 71552 72000 72120 74880 75125 76928 77400 77529 78000 78130 80496 82560 83850 86000 86544 89440 90150 93600 93756 96160 96750 100620 103200 103372 104000 107328 108180 111800 115392 117000 117195 120200 123840 124800 125008 125775 129000 129215 134160 135225 137600 139750 140634 144000 144240 150250 154800 155058 156000 156260 160992 167700 172000 173088 178880 180300 187200 187512 192320 193500 195325 201240 206400 206744 208000 209625 214656 216360 223600 225375 230784 232587 234000 234390 240400 247680 250016 251550 258000 258430 268320 270450 279500 281268 288480 300500 309600 310116 312000 312520 321984 335400 335959 344000 346176 351585 357760 360600 374400 375024 384640 387000 387645 390650 402480 412800 413488 419250 432720 447200 450750 465174 468000 468780 480800 500032 503100 516000 516860 536640 540900 559000 562536 576960 585975 601000 619200 620232 624000 625040 628875 643968 646075 670800 671918 676125 688000 692352 703170 721200 750048 774000 775290 781300 804960 826976 838500 865440 894400 901500 930348 936000 937560 961600 976625 1000064 1006200 1007877 1032000 1033720 1073280 1081800 1118000 1125072 1153920 1162935 1171950 1202000 1238400 1240464 1250080 1257750 1292150 1341600 1343836 1352250 1406340 1442400 1500096 1548000 1550580 1562600 1609920 1653952 1677000 1679795 1730880 1757925 1788800 1803000 1860696 1872000 1875120 1923200 1938225 1953250 2012400 2015754 2064000 2067440 2163600 2236000 2250144 2325870 2343900 2404000 2480928 2500160 2515500 2584300 2683200 2687672 2704500 2812680 2884800 2929875 3000192 3023631 3096000 3101160 3125200 3219840 3230375 3307904 3354000 3359590 3461760 3515850 3606000 3721392 3750240 3876450 3906500 4024800 4031508 4134880 4327200 4472000 4500288 4651740 4687800 4808000 4961856 5000320 5031000 5039385 5168600 5366400 5375344 5409000 5625360 5769600 5814675 5859750 6047262 6192000 6202320 6250400 6460750 6708000 6719180 7031700 7212000 7442784 7500480 7752900 7813000 8049600 8063016 8269760 8398975 8654400 8789625 8944000 9000576 9303480 9375600 9616000 9691125 9923712 10062000 10078770 10337200 10750688 10818000 11250720 11629350 11719500 12094524 12404640 12500800 12921500 13416000 13438360 14063400 14424000 14885568 15000960 15118155 15505800 15626000 16099200 16126032 16539520 16797950 17308800 17579250 18606960 18751200 19382250 20124000 20157540 20674400 21501376 21636000 22501440 23258700 23439000 24189048 24809280 25001600 25196925 25843000 26832000 26876720 28126800 28848000 29073375 29771136 30236310 31011600 31252000 32252064 33595900 35158500 37213920 37502400 38764500 40248000 40315080 41348800 41994875 43002752 43272000 45002880 46517400 46878000 48378096 49618560 50393850 51686000 53753440 56253600 58146750 60472620 62023200 62504000 64504128 67191800 70317000 74427840 75004800 75590775 77529000 80496000 80630160 82697600 83989750 86544000 93034800 93756000 96756192 100787700 103372000 107506880 112507200 116293500 120945240 124046400 125008000 125984625 129008256 134383600 140634000 148855680 151181550 155058000 161260320 167979500 186069600 187512000 193512384 201575400 206744000 215013760 225014400 232587000 241890480 248092800 251969250 268767200 281268000 302363100 310116000 322520640 335959000 372139200 375024000 377953875 387024768 403150800 413488000 465174000 483780960 503938500 537534400 562536000 604726200 620232000 645041280 671918000 744278400 755907750 806301600 930348000 967561920 1007877000 1075068800 1125072000 1209452400 1240464000 1343836000 1511815500 1612603200 1860696000 1935123840 2015754000 2418904800 2687672000 3023631000 3225206400 3721392000 4031508000 4837809600 5375344000 6047262000 8063016000 9675619200 12094524000 16126032000 24189048000 48378096000
- Sum of all divisors σ(n): 191772060480
- Sum of proper divisors (its aliquot sum) s(n): 143393964480
- 48378096000 is an abundant number, because the sum of its proper divisors (143393964480) is greater than itself. Its abundance is 95015868480
Bases of 48378096000
- Binary: 1011010000111000111100101001100000002
- Hexadecimal: 0xB438F2980
- Base-36: M832HS0
Squares and roots of 48378096000
- 48378096000 squared (483780960002) is 2340440172585216000000
- 48378096000 cubed (483780960003) is 113226039351584147828736000000000
-
The
square root of 48378096000 is 219950.2125482035 -
The
cube root of 48378096000 is 3643.7585457601
Scales and comparisons
How big is 48378096000?- 48,378,096,000 seconds is equal to 1,538 years, 14 weeks, 1 day, 16 hours.
-
To count from 1 to 48,378,096,000 would take you about three thousand and seventy-six 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 48378096000 cubic inches would be around 303.6 feet tall.
Recreational maths with 48378096000
- 48378096000 backwards is 00069087384
- 48378096000 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 48378096000's digits is 45
- More coming soon!
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The information we have on file for 48378096000 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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