137728200960000
137,728,200,960,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137728200960000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4320 divisors.
137728200960000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 137728200960000:
211 × 35 × 54 × 7 × 17 × 612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 17 × 61 × 61)See below for interesting mathematical facts about the number 137728200960000 from the Numbermatics database.
Names of 137728200960000
- Cardinal: 137728200960000 can be written as One hundred thirty-seven trillion, seven hundred twenty-eight billion, two hundred million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 1.3772820096 × 1014
Factors of 137728200960000
Divisors of 137728200960000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 27 28 30 32 34 35 36 40 42 45 48 50 51 54 56 60 61 63 64 68 70 72 75 80 81 84 85 90 96 100 102 105 108 112 119 120 122 125 126 128 135 136 140 144 150 153 160 162 168 170 175 180 183 189 192 200 204 210 216 224 225 238 240 243 244 250 252 255 256 270 272 280 288 300 305 306 315 320 324 336 340 350 357 360 366 375 378 384 400 405 408 420 425 427 432 448 450 459 476 480 486 488 500 504 510 512 525 540 544 549 560 567 576 595 600 610 612 625 630 640 648 672 675 680 700 714 720 732 750 756 765 768 800 810 816 840 850 854 864 875 896 900 915 918 945 952 960 972 976 1000 1008 1020 1024 1037 1050 1071 1080 1088 1098 1120 1125 1134 1152 1190 1200 1215 1220 1224 1250 1260 1275 1280 1281 1296 1344 1350 1360 1377 1400 1428 1440 1464 1500 1512 1525 1530 1536 1575 1600 1620 1632 1647 1680 1700 1701 1708 1728 1750 1785 1792 1800 1830 1836 1875 1890 1904 1920 1944 1952 2000 2016 2025 2040 2048 2074 2100 2125 2135 2142 2160 2176 2196 2240 2250 2268 2295 2304 2380 2400 2430 2440 2448 2500 2520 2550 2560 2562 2592 2625 2688 2700 2720 2745 2754 2800 2835 2856 2880 2928 2975 3000 3024 3050 3060 3072 3111 3150 3200 3213 3240 3264 3294 3360 3375 3400 3402 3416 3456 3500 3570 3584 3600 3660 3672 3721 3750 3780 3808 3825 3840 3843 3888 3904 4000 4032 4050 4080 4131 4148 4200 4250 4270 4284 4320 4352 4375 4392 4480 4500 4536 4575 4590 4608 4725 4760 4800 4860 4880 4896 4941 5000 5040 5100 5120 5124 5184 5185 5250 5355 5376 5400 5440 5490 5508 5600 5625 5670 5712 5760 5856 5950 6000 6048 6075 6100 6120 6144 6222 6300 6375 6400 6405 6426 6480 6528 6588 6720 6750 6800 6804 6832 6885 6912 7000 7140 7168 7200 7259 7320 7344 7442 7500 7560 7616 7625 7650 7680 7686 7776 7808 7875 8000 8064 8100 8160 8235 8262 8296 8400 8500 8505 8540 8568 8640 8704 8750 8784 8925 8960 9000 9072 9150 9180 9216 9333 9450 9520 9600 9639 9720 9760 9792 9882 10000 10080 10125 10200 10240 10248 10368 10370 10500 10625 10675 10710 10752 10800 10880 10980 11016 11163 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27545640192000 34432050240000 45909400320000 68864100480000 137728200960000
- Sum of all divisors σ(n): 634169216640960
- Sum of proper divisors (its aliquot sum) s(n): 496441015680960
- 137728200960000 is an abundant number, because the sum of its proper divisors (496441015680960) is greater than itself. Its abundance is 358712814720960
Bases of 137728200960000
- Binary: 111110101000011010110000111111001101000000000002
- Hexadecimal: 0x7D43587E6800
- Base-36: 1CTJGMTC00
Squares and roots of 137728200960000
- 137728200960000 squared (1377282009600002) is 18969057339678144921600000000
- 137728200960000 cubed (1377282009600003) is 2612574141300954525482128244736000000000000
-
The
square root of 137728200960000 is 11735765.8872354811 -
The
cube root of 137728200960000 is 51642.5436048329
Scales and comparisons
How big is 137728200960000?- 137,728,200,960,000 seconds is equal to 4,379,330 years, 40 weeks.
-
To count from 1 to 137,728,200,960,000 would take you about ten million, nine hundred forty-eight thousand, three hundred twenty-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 137728200960000 cubic inches would be around 4303.5 feet tall.
Recreational maths with 137728200960000
- 137728200960000 backwards is 000069002827731
- 137728200960000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137728200960000's digits is 45
- More coming soon!
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"Number 137728200960000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 137728200960000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/137728200960000/
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The information we have on file for 137728200960000 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 137728200960000, math, Factors of 137728200960000, curriculum, school, college, exams, university, Prime factorization of 137728200960000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, seven hundred twenty-eight billion, two hundred million, nine hundred sixty thousand.