138171050737104000
138,171,050,737,104,000 is an even composite number composed of seven prime numbers multiplied together.
138171050737104000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 138171050737104000:
27 × 3 × 53 × 7 × 112 × 972 × 6012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 11 × 11 × 97 × 97 × 601 × 601)See below for interesting mathematical facts about the number 138171050737104000 from the Numbermatics database.
Names of 138171050737104000
- Cardinal: 138171050737104000 can be written as One hundred thirty-eight quadrillion, one hundred seventy-one trillion, fifty billion, seven hundred thirty-seven million, one hundred four thousand.
Scientific notation
- Scientific notation: 1.38171050737104 × 1017
Factors of 138171050737104000
Divisors of 138171050737104000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 50 55 56 60 64 66 70 75 77 80 84 88 96 97 100 105 110 112 120 121 125 128 132 140 150 154 160 165 168 175 176 192 194 200 210 220 224 231 240 242 250 264 275 280 291 300 308 320 330 336 350 352 363 375 384 385 388 400 420 440 448 462 480 484 485 500 525 528 550 560 582 600 601 605 616 640 660 672 679 700 704 726 750 770 776 800 825 840 847 875 880 896 924 960 968 970 1000 1050 1056 1067 1100 1120 1155 1164 1200 1202 1210 1232 1320 1344 1358 1375 1400 1408 1452 1455 1500 1540 1552 1600 1650 1680 1694 1750 1760 1803 1815 1848 1920 1925 1936 1940 2000 2037 2100 2112 2134 2200 2240 2310 2328 2400 2404 2420 2425 2464 2541 2625 2640 2688 2716 2750 2800 2904 2910 3000 3005 3025 3080 3104 3200 3201 3300 3360 3388 3395 3500 3520 3606 3630 3696 3850 3872 3880 4000 4074 4125 4200 4207 4224 4235 4268 4400 4480 4620 4656 4800 4808 4840 4850 4928 5082 5250 5280 5335 5432 5500 5600 5775 5808 5820 6000 6010 6050 6160 6208 6402 6600 6611 6720 6776 6790 7000 7040 7212 7260 7275 7392 7469 7700 7744 7760 8000 8148 8250 8400 8414 8470 8536 8800 9015 9075 9240 9312 9409 9600 9616 9625 9680 9700 9856 10164 10185 10500 10560 10670 10864 11000 11200 11550 11616 11640 11737 12000 12020 12100 12125 12320 12416 12621 12705 12804 13200 13222 13440 13552 13580 14000 14424 14520 14550 14784 14938 15025 15125 15400 15488 15520 16000 16005 16296 16500 16800 16828 16940 16975 17072 17600 18030 18150 18480 18624 18818 19232 19250 19360 19400 19833 20328 20370 21000 21035 21120 21175 21340 21728 22000 22400 22407 23100 23232 23280 23474 24000 24040 24200 24250 24640 25242 25410 25608 26400 26444 26675 27104 27160 28000 28227 28848 28875 29040 29100 29568 29876 30050 30250 30800 31040 32010 32592 33000 33055 33600 33656 33880 33950 34144 35200 35211 36060 36300 36375 36960 37248 37345 37636 38464 38500 38720 38800 39666 40656 40740 42000 42070 42350 42680 43456 44000 44814 45075 45375 46200 46277 46464 46560 46948 47045 48000 48080 48400 48500 49280 50484 50820 50925 51216 52800 52888 53350 54208 54320 56000 56454 57696 57750 58080 58200 58297 58685 59752 60100 60500 61600 62080 63105 63525 64020 65184 65863 66000 66110 67200 67312 67760 67900 68288 70422 72120 72600 72721 72750 73920 74690 75125 75272 76928 77000 77440 77600 79332 80025 81312 81480 82159 84000 84140 84700 84875 85360 86912 88000 89628 90150 90750 92400 92554 93120 93896 94090 96160 96800 97000 99165 100968 101640 101850 102432 103499 105175 105600 105776 105875 106700 108416 108640 112000 112035 112908 115392 115500 116160 116400 116594 117370 119504 120200 121000 123200 126210 127050 128040 130368 131726 132000 132220 133375 134624 135520 135800 136576 138831 140844 141135 144240 145200 145442 145500 147840 149380 150250 150544 154000 155200 158664 160050 162624 162960 164318 165275 168000 168280 169400 169750 170720 174891 176000 176055 179256 180300 181500 184800 185108 186240 186725 187792 188180 192320 193600 194000 197589 198330 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986936076693600 1046750384372000 1079461333883625 1105368405896832 1141909510224000 1151425422809200 1233670095867000 1256100461246400 1315914768924800 1381710507371040 1424443822032000 1439281778511500 1570125576558000 1644893461156000 1727138134213800 1794429230352000 1842280676494720 1973872153387200 2093500768744000 2158922667767250 2302850845618400 2467340191734000 2512200922492800 2763421014742080 2878563557023000 3140251153116000 3289786922312000 3454276268427600 3947744306774400 4187001537488000 4317845335534500 4605701691236800 4934680383468000 5526842029484160 5757127114046000 6280502306232000 6579573844624000 6908552536855200 8635690671069000 9211403382473600 9869360766936000 11514254228092000 12561004612464000 13817105073710400 17271381342138000 19738721533872000 23028508456184000 27634210147420800 34542762684276000 46057016912368000 69085525368552000 138171050737104000
- Sum of all divisors σ(n): 582347285738225280
- Sum of proper divisors (its aliquot sum) s(n): 444176235001121280
- 138171050737104000 is an abundant number, because the sum of its proper divisors (444176235001121280) is greater than itself. Its abundance is 306005184264017280
Bases of 138171050737104000
- Binary: 1111010101110000111010110101011010110110101110100100000002
- Hexadecimal: 0x1EAE1D6AD6D7480
- Base-36: 11SHJSFE25XC
Squares and roots of 138171050737104000
- 138171050737104000 squared (1381710507371040002) is 19091239261795367821722306816000000
- 138171050737104000 cubed (1381710507371040003) is 2637856588675719681889996744051676043300864000000000
-
The
square root of 138171050737104000 is 371713667.6759465083 -
The
cube root of 138171050737104000 is 516978.3467955537
Scales and comparisons
How big is 138171050737104000?- 138,171,050,737,104,000 seconds is equal to 4,393,412,022 years, 16 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 138,171,050,737,104,000 would take you about thirteen billion, one hundred eighty million, two hundred thirty-six thousand and sixty-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 138171050737104000 cubic inches would be around 43081.5 feet tall.
Recreational maths with 138171050737104000
- 138171050737104000 backwards is 000401737050171831
- 138171050737104000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138171050737104000's digits is 48
- More coming soon!
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"Number 138171050737104000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 138171050737104000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138171050737104000/
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Numbermatics. 2024. "Number 138171050737104000 - Facts about the integer". https://numbermatics.com/n/138171050737104000/
The information we have on file for 138171050737104000 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 138171050737104000, math, Factors of 138171050737104000, curriculum, school, college, exams, university, Prime factorization of 138171050737104000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred seventy-one trillion, fifty billion, seven hundred thirty-seven million, one hundred four thousand.