1338319801728000
1,338,319,801,728,000 is an even composite number composed of six prime numbers multiplied together.
1338319801728000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, six hundred ninety-six divisors.
Prime factorization of 1338319801728000:
210 × 36 × 53 × 7 × 13 × 3972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 397 × 397)See below for interesting mathematical facts about the number 1338319801728000 from the Numbermatics database.
Names of 1338319801728000
- Cardinal: 1338319801728000 can be written as One quadrillion, three hundred thirty-eight trillion, three hundred nineteen billion, eight hundred one million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.338319801728 × 1015
Factors of 1338319801728000
Divisors of 1338319801728000
- Number of divisors d(n): 3696
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 54 56 60 63 64 65 70 72 75 78 80 81 84 90 91 96 100 104 105 108 112 117 120 125 126 128 130 135 140 144 150 156 160 162 168 175 180 182 189 192 195 200 208 210 216 224 225 234 240 243 250 252 256 260 270 273 280 288 300 312 315 320 324 325 336 350 351 360 364 375 378 384 390 397 400 405 416 420 432 448 450 455 468 480 486 500 504 512 520 525 540 546 560 567 576 585 600 624 630 640 648 650 672 675 700 702 720 728 729 750 756 768 780 794 800 810 819 832 840 864 875 896 900 910 936 945 960 972 975 1000 1008 1024 1040 1050 1053 1080 1092 1120 1125 1134 1152 1170 1191 1200 1215 1248 1260 1280 1296 1300 1344 1350 1365 1400 1404 1440 1456 1458 1500 1512 1536 1560 1575 1588 1600 1620 1625 1638 1664 1680 1701 1728 1750 1755 1792 1800 1820 1872 1890 1920 1944 1950 1985 2000 2016 2025 2080 2100 2106 2160 2184 2240 2250 2268 2275 2304 2340 2382 2400 2430 2457 2496 2520 2560 2592 2600 2625 2688 2700 2730 2779 2800 2808 2835 2880 2912 2916 2925 3000 3024 3072 3120 3150 3159 3176 3200 3240 3250 3276 3328 3360 3375 3402 3456 3500 3510 3573 3584 3600 3640 3645 3744 3780 3840 3888 3900 3970 4000 4032 4050 4095 4160 4200 4212 4320 4368 4480 4500 4536 4550 4608 4680 4725 4764 4800 4860 4875 4914 4992 5040 5103 5120 5161 5184 5200 5250 5265 5376 5400 5460 5558 5600 5616 5670 5760 5824 5832 5850 5955 6000 6048 6075 6240 6300 6318 6352 6400 6480 6500 6552 6656 6720 6750 6804 6825 6912 7000 7020 7146 7168 7200 7280 7290 7371 7488 7560 7680 7776 7800 7875 7940 8000 8064 8100 8190 8320 8337 8400 8424 8505 8640 8736 8775 8960 9000 9072 9100 9216 9360 9450 9477 9528 9600 9720 9750 9828 9925 9984 10080 10125 10206 10322 10368 10400 10500 10530 10719 10752 10800 10920 11116 11200 11232 11340 11375 11520 11648 11664 11700 11910 12000 12096 12150 12285 12480 12600 12636 12704 12800 12960 13000 13104 13312 13440 13500 13608 13650 13824 13895 14000 14040 14175 14292 14400 14560 14580 14625 14742 14976 15120 15360 15483 15552 15600 15750 15795 15880 16000 16128 16200 16380 16640 16674 16800 16848 17010 17280 17472 17550 17865 17920 18000 18144 18200 18225 18720 18900 18954 19056 19200 19440 19500 19656 19850 19968 20160 20250 20412 20475 20644 20736 20800 21000 21060 21438 21504 21600 21840 22113 22232 22400 22464 22680 22750 23040 23296 23328 23400 23625 23820 24000 24192 24300 24570 24960 25011 25200 25272 25408 25515 25600 25805 25920 26000 26208 26325 26880 27000 27216 27300 27648 27790 28000 28080 28350 28584 28800 29120 29160 29250 29484 29775 29952 30240 30375 30966 31104 31200 31500 31590 31760 32000 32157 32256 32400 32760 33280 33348 33600 33696 34020 34125 34560 34944 35100 35730 35840 36000 36127 36288 36400 36450 36855 37440 37800 37908 38112 38400 38880 39000 39312 39700 39936 40320 40500 40824 40950 41288 41472 41600 41685 42000 42120 42525 42876 43200 43680 43875 44226 44464 44800 44928 45360 45500 46080 46449 46592 46656 46800 47250 47385 47640 48000 48384 48600 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22305330028800 23898567888000 24783700032000 25736919264000 26766396034560 27881662536000 29740440038400 31864757184000 33457995043200 34315892352000 37175550048000 38237708620800 41822493804000 44610660057600 47797135776000 49567400064000 51473838528000 53532792069120 55763325072000 63729514368000 66915990086400 74351100096000 83644987608000 89221320115200 95594271552000 102947677056000 111526650144000 133831980172800 148702200192000 167289975216000 191188543104000 223053300288000 267663960345600 334579950432000 446106600576000 669159900864000 1338319801728000
- Sum of all divisors σ(n): 6176706325118784
- Sum of proper divisors (its aliquot sum) s(n): 4838386523390784
- 1338319801728000 is an abundant number, because the sum of its proper divisors (4838386523390784) is greater than itself. Its abundance is 3500066721662784
Bases of 1338319801728000
- Binary: 1001100000100110001110111000110000010111100000000002
- Hexadecimal: 0x4C131DC60BC00
- Base-36: D6E7MNK000
Squares and roots of 1338319801728000
- 1338319801728000 squared (13383198017280002) is 1791099891697273231785984000000
- 1338319801728000 cubed (13383198017280003) is 2397064451931336984962059894209380352000000000
-
The
square root of 1338319801728000 is 36583053.4773684521 -
The
cube root of 1338319801728000 is 110201.2789040897
Scales and comparisons
How big is 1338319801728000?- 1,338,319,801,728,000 seconds is equal to 42,554,430 years.
-
To count from 1 to 1,338,319,801,728,000 would take you about one hundred twenty-seven million, six hundred sixty-three thousand, two hundred ninety 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 1338319801728000 cubic inches would be around 9183.4 feet tall.
Recreational maths with 1338319801728000
- 1338319801728000 backwards is 0008271089138331
- 1338319801728000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1338319801728000's digits is 54
- More coming soon!
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MLA style:
"Number 1338319801728000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 1338319801728000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/1338319801728000/
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Numbermatics. 2024. "Number 1338319801728000 - Facts about the integer". https://numbermatics.com/n/1338319801728000/
The information we have on file for 1338319801728000 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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