138105468374720000
138,105,468,374,720,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138105468374720000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3600 divisors.
138105468374720000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, six hundred divisors.
Prime factorization of 138105468374720000:
29 × 54 × 7 × 11 × 412 × 532 × 1187
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 11 × 41 × 41 × 53 × 53 × 1187)See below for interesting mathematical facts about the number 138105468374720000 from the Numbermatics database.
Names of 138105468374720000
- Cardinal: 138105468374720000 can be written as One hundred thirty-eight quadrillion, one hundred five trillion, four hundred sixty-eight billion, three hundred seventy-four million, seven hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3810546837472 × 1017
Factors of 138105468374720000
Divisors of 138105468374720000
- Number of divisors d(n): 3600
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 41 44 50 53 55 56 64 70 77 80 82 88 100 106 110 112 125 128 140 154 160 164 175 176 200 205 212 220 224 250 256 265 275 280 287 308 320 328 350 352 371 385 400 410 424 440 448 451 500 512 530 550 560 574 583 616 625 640 656 700 704 742 770 800 820 848 875 880 896 902 1000 1025 1060 1100 1120 1148 1166 1187 1232 1250 1280 1312 1325 1375 1400 1408 1435 1484 1540 1600 1640 1681 1696 1750 1760 1792 1804 1855 1925 2000 2050 2120 2173 2200 2240 2255 2296 2332 2374 2464 2500 2560 2624 2650 2750 2800 2809 2816 2870 2915 2968 3080 3157 3200 3280 3362 3392 3500 3520 3584 3608 3710 3850 4000 4081 4100 4240 4346 4375 4400 4480 4510 4592 4664 4748 4928 5000 5125 5248 5300 5500 5600 5618 5632 5740 5830 5935 5936 6160 6314 6400 6560 6625 6724 6784 6875 7000 7040 7175 7216 7420 7700 8000 8162 8200 8309 8405 8480 8692 8750 8800 8960 9020 9184 9275 9328 9496 9625 9856 10000 10250 10496 10600 10865 11000 11200 11236 11275 11480 11660 11767 11870 11872 12320 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3138760644880000 3368426057920000 3452636709368000 3945870524992000 4315795886710000 4932338156240000 5524218734988800 6277521289760000 6905273418736000 8631591773420000 9864676312480000 12555042579520000 13810546837472000 17263183546840000 19729352624960000 27621093674944000 34526367093680000 69052734187360000 138105468374720000
- Sum of all divisors σ(n): 449490965134248576
- Sum of proper divisors (its aliquot sum) s(n): 311385496759528576
- 138105468374720000 is an abundant number, because the sum of its proper divisors (311385496759528576) is greater than itself. Its abundance is 173280028384808576
Bases of 138105468374720000
- Binary: 1111010101010011000110001000110000000001110011110000000002
- Hexadecimal: 0x1EAA63118039E00
- Base-36: 11RUAWB0S6WW
Squares and roots of 138105468374720000
- 138105468374720000 squared (1381054683747200002) is 19073120395000786078335078400000000
- 138105468374720000 cubed (1381054683747200003) is 2634102225519008096131045222522411778048000000000000
-
The
square root of 138105468374720000 is 371625440.9680801173 -
The
cube root of 138105468374720000 is 516896.5399173939
Scales and comparisons
How big is 138105468374720000?- 138,105,468,374,720,000 seconds is equal to 4,391,326,706 years, 2 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,105,468,374,720,000 would take you about thirteen billion, one hundred seventy-three million, nine hundred eighty thousand, one hundred eighteen 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 138105468374720000 cubic inches would be around 43074.7 feet tall.
Recreational maths with 138105468374720000
- 138105468374720000 backwards is 000027473864501831
- The number of decimal digits it has is: 18
- The sum of 138105468374720000's digits is 59
- More coming soon!
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"Number 138105468374720000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 138105468374720000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/138105468374720000/
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Numbermatics. 2024. "Number 138105468374720000 - Facts about the integer". https://numbermatics.com/n/138105468374720000/
The information we have on file for 138105468374720000 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 138105468374720000, math, Factors of 138105468374720000, curriculum, school, college, exams, university, Prime factorization of 138105468374720000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred five trillion, four hundred sixty-eight billion, three hundred seventy-four million, seven hundred twenty thousand.