138328519680000
138,328,519,680,000 is an even composite number composed of six prime numbers multiplied together.
138328519680000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 138328519680000:
213 × 32 × 54 × 13 × 37 × 792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 37 × 79 × 79)See below for interesting mathematical facts about the number 138328519680000 from the Numbermatics database.
Names of 138328519680000
- Cardinal: 138328519680000 can be written as One hundred thirty-eight trillion, three hundred twenty-eight billion, five hundred nineteen million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3832851968 × 1014
Factors of 138328519680000
Divisors of 138328519680000
- Number of divisors d(n): 2520
-
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 37 39 40 45 48 50 52 60 64 65 72 74 75 78 79 80 90 96 100 104 111 117 120 125 128 130 144 148 150 156 158 160 180 185 192 195 200 208 222 225 234 237 240 250 256 260 288 296 300 312 316 320 325 333 360 370 375 384 390 395 400 416 444 450 468 474 480 481 500 512 520 555 576 585 592 600 624 625 632 640 650 666 711 720 740 750 768 780 790 800 832 888 900 925 936 948 960 962 975 1000 1024 1027 1040 1110 1125 1152 1170 1184 1185 1200 1248 1250 1264 1280 1300 1332 1422 1440 1443 1480 1500 1536 1560 1580 1600 1625 1664 1665 1776 1800 1850 1872 1875 1896 1920 1924 1950 1975 2000 2048 2054 2080 2220 2250 2304 2340 2368 2370 2400 2405 2496 2500 2528 2560 2600 2664 2775 2844 2880 2886 2923 2925 2960 3000 3072 3081 3120 3160 3200 3250 3328 3330 3552 3555 3600 3700 3744 3750 3792 3840 3848 3900 3950 4000 4096 4108 4160 4329 4440 4500 4608 4625 4680 4736 4740 4800 4810 4875 4992 5000 5056 5120 5135 5200 5328 5550 5625 5688 5760 5772 5846 5850 5920 5925 6000 6144 6162 6240 6241 6320 6400 6500 6656 6660 7104 7110 7200 7215 7400 7488 7500 7584 7680 7696 7800 7900 8000 8125 8192 8216 8320 8325 8658 8769 8880 9000 9216 9243 9250 9360 9472 9480 9600 9620 9750 9875 9984 10000 10112 10240 10270 10400 10656 11100 11250 11376 11520 11544 11692 11700 11840 11850 12000 12025 12288 12324 12480 12482 12640 12800 13000 13312 13320 13875 14208 14220 14400 14430 14615 14625 14800 14976 15000 15168 15360 15392 15405 15600 15800 16000 16250 16432 16640 16650 17316 17538 17760 17775 18000 18432 18486 18500 18720 18723 18944 18960 19200 19240 19500 19750 19968 20000 20224 20480 20540 20800 21312 21645 22200 22500 22752 23040 23088 23125 23384 23400 23680 23700 24000 24050 24375 24576 24648 24960 24964 25280 25600 25675 26000 26307 26624 26640 27750 28416 28440 28800 28860 29230 29250 29600 29625 29952 30000 30336 30720 30784 30810 31200 31205 31600 32000 32500 32864 33280 33300 34632 35076 35520 35550 36000 36075 36864 36972 37000 37440 37446 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- Sum of all divisors σ(n): 559352057692428
- Sum of proper divisors (its aliquot sum) s(n): 421023538012428
- 138328519680000 is an abundant number, because the sum of its proper divisors (421023538012428) is greater than itself. Its abundance is 282695018332428
Bases of 138328519680000
- Binary: 111110111001111000111100100011100100000000000002
- Hexadecimal: 0x7DCF1E472000
- Base-36: 1D178T2WW0
Squares and roots of 138328519680000
- 138328519680000 squared (1383285196800002) is 19134779356860147302400000000
- 138328519680000 cubed (1383285196800003) is 2646885702837886629127737311232000000000000
-
The
square root of 138328519680000 is 11761314.5387749919 -
The
cube root of 138328519680000 is 51717.4666567059
Scales and comparisons
How big is 138328519680000?- 138,328,519,680,000 seconds is equal to 4,398,419 years, 2 weeks, 3 days, 8 hours.
-
To count from 1 to 138,328,519,680,000 would take you about ten million, nine hundred ninety-six thousand and forty-seven 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 138328519680000 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138328519680000
- 138328519680000 backwards is 000086915823831
- The number of decimal digits it has is: 15
- The sum of 138328519680000's digits is 54
- More coming soon!
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The information we have on file for 138328519680000 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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