138198804480000
138,198,804,480,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 138198804480000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 4050 divisors.
138198804480000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four thousand and fifty divisors.
Prime factorization of 138198804480000:
214 × 38 × 54 × 112 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 11 × 11 × 17)See below for interesting mathematical facts about the number 138198804480000 from the Numbermatics database.
Names of 138198804480000
- Cardinal: 138198804480000 can be written as One hundred thirty-eight trillion, one hundred ninety-eight billion, eight hundred four million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 1.3819880448 × 1014
Factors of 138198804480000
Divisors of 138198804480000
- Number of divisors d(n): 4050
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 27 30 32 33 34 36 40 44 45 48 50 51 54 55 60 64 66 68 72 75 80 81 85 88 90 96 99 100 102 108 110 120 121 125 128 132 135 136 144 150 153 160 162 165 170 176 180 187 192 198 200 204 216 220 225 240 242 243 250 255 256 264 270 272 275 288 297 300 306 320 324 330 340 352 360 363 374 375 384 396 400 405 408 425 432 440 450 459 480 484 486 495 500 510 512 528 540 544 550 561 576 594 600 605 612 625 640 648 660 675 680 704 720 726 729 748 750 765 768 792 800 810 816 825 850 864 880 891 900 918 935 960 968 972 990 1000 1020 1024 1056 1080 1088 1089 1100 1122 1125 1152 1188 1200 1210 1215 1224 1250 1275 1280 1296 1320 1350 1360 1375 1377 1408 1440 1452 1458 1485 1496 1500 1530 1536 1584 1600 1620 1632 1650 1683 1700 1728 1760 1782 1800 1815 1836 1870 1875 1920 1936 1944 1980 2000 2025 2040 2048 2057 2112 2125 2160 2176 2178 2187 2200 2244 2250 2295 2304 2376 2400 2420 2430 2448 2475 2500 2550 2560 2592 2640 2673 2700 2720 2750 2754 2805 2816 2880 2904 2916 2970 2992 3000 3025 3060 3072 3168 3200 3240 3264 3267 3300 3366 3375 3400 3456 3520 3564 3600 3630 3645 3672 3740 3750 3825 3840 3872 3888 3960 4000 4050 4080 4096 4114 4125 4131 4224 4250 4320 4352 4356 4374 4400 4455 4488 4500 4590 4608 4675 4752 4800 4840 4860 4896 4950 5000 5049 5100 5120 5184 5280 5346 5400 5440 5445 5500 5508 5610 5625 5632 5760 5808 5832 5940 5984 6000 6050 6075 6120 6144 6171 6336 6375 6400 6480 6528 6534 6561 6600 6732 6750 6800 6875 6885 6912 7040 7128 7200 7260 7290 7344 7425 7480 7500 7650 7680 7744 7776 7920 8000 8019 8100 8160 8192 8228 8250 8262 8415 8448 8500 8640 8704 8712 8748 8800 8910 8976 9000 9075 9180 9216 9350 9504 9600 9680 9720 9792 9801 9900 10000 10098 10125 10200 10240 10285 10368 10560 10625 10692 10800 10880 10890 10935 11000 11016 11220 11250 11264 11475 11520 11616 11664 11880 11968 12000 12100 12150 12240 12288 12342 12375 12393 12672 12750 12800 12960 13056 13068 13122 13200 13365 13464 13500 13600 13750 13770 13824 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1079678160000 1105590435840 1142138880000 1151656704000 1256352768000 1279618560000 1354890240000 1381988044800 1395947520000 1439570880000 1535542272000 1570440960000 1625868288000 1706158080000 1727485056000 1842650726400 1919427840000 2032335360000 2093921280000 2159356320000 2303313408000 2512705536000 2559237120000 2709780480000 2763976089600 2879141760000 3071084544000 3140881920000 3454970112000 3838855680000 4064670720000 4187842560000 4318712640000 4606626816000 5118474240000 5527952179200 5758283520000 6281763840000 6909940224000 7677711360000 8129341440000 8637425280000 9213253632000 11516567040000 12563527680000 13819880448000 15355422720000 17274850560000 23033134080000 27639760896000 34549701120000 46066268160000 69099402240000 138198804480000
- Sum of all divisors σ(n): 602908064316558
- Sum of proper divisors (its aliquot sum) s(n): 464709259836558
- 138198804480000 is an abundant number, because the sum of its proper divisors (464709259836558) is greater than itself. Its abundance is 326510455356558
Bases of 138198804480000
- Binary: 111110110110000111010101010011001000000000000002
- Hexadecimal: 0x7DB0EAA64000
- Base-36: 1CZJNK0000
Squares and roots of 138198804480000
- 138198804480000 squared (1381988044800002) is 19098909559701268070400000000
- 138198804480000 cubed (1381988044800003) is 2639446468022358433269276475392000000000000
-
The
square root of 138198804480000 is 11755798.7597610737 -
The
cube root of 138198804480000 is 51701.2958781863
Scales and comparisons
How big is 138198804480000?- 138,198,804,480,000 seconds is equal to 4,394,294 years, 26 weeks, 2 days.
-
To count from 1 to 138,198,804,480,000 would take you about ten million, nine hundred eighty-five thousand, seven hundred thirty-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 138198804480000 cubic inches would be around 4308.4 feet tall.
Recreational maths with 138198804480000
- 138198804480000 backwards is 000084408891831
- 138198804480000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138198804480000's digits is 54
- More coming soon!
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"Number 138198804480000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
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Numbermatics. (2024). Number 138198804480000 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/138198804480000/
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The information we have on file for 138198804480000 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!
Keywords: Divisors of 138198804480000, math, Factors of 138198804480000, curriculum, school, college, exams, university, Prime factorization of 138198804480000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred ninety-eight billion, eight hundred four million, four hundred eighty thousand.