138815484669120000
138,815,484,669,120,000 is an even composite number composed of six prime numbers multiplied together.
138815484669120000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, two hundred divisors.
Prime factorization of 138815484669120000:
29 × 3 × 54 × 73 × 19 × 2813
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 19 × 281 × 281 × 281)See below for interesting mathematical facts about the number 138815484669120000 from the Numbermatics database.
Names of 138815484669120000
- Cardinal: 138815484669120000 can be written as One hundred thirty-eight quadrillion, eight hundred fifteen trillion, four hundred eighty-four billion, six hundred sixty-nine million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3881548466912 × 1017
Factors of 138815484669120000
Divisors of 138815484669120000
- Number of divisors d(n): 3200
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 49 50 56 57 60 64 70 75 76 80 84 95 96 98 100 105 112 114 120 125 128 133 140 147 150 152 160 168 175 190 192 196 200 210 224 228 240 245 250 256 266 280 281 285 294 300 304 320 336 343 350 375 380 384 392 399 400 420 448 456 475 480 490 500 512 525 532 560 562 570 588 600 608 625 640 665 672 686 700 735 750 760 768 784 798 800 840 843 875 896 912 931 950 960 980 1000 1029 1050 1064 1120 1124 1140 1176 1200 1216 1225 1250 1280 1330 1344 1372 1400 1405 1425 1470 1500 1520 1536 1568 1596 1600 1680 1686 1715 1750 1792 1824 1862 1875 1900 1920 1960 1967 1995 2000 2058 2100 2128 2240 2248 2280 2352 2375 2400 2432 2450 2500 2560 2625 2660 2688 2744 2793 2800 2810 2850 2940 3000 3040 3136 3192 3200 3325 3360 3372 3430 3500 3584 3648 3675 3724 3750 3800 3840 3920 3934 3990 4000 4116 4200 4215 4256 4375 4480 4496 4560 4655 4704 4750 4800 4864 4900 5000 5145 5250 5320 5339 5376 5488 5586 5600 5620 5700 5880 5901 6000 6080 6125 6272 6384 6400 6517 6650 6720 6744 6860 7000 7025 7125 7296 7350 7448 7500 7600 7680 7840 7868 7980 8000 8232 8400 8430 8512 8575 8750 8960 8992 9120 9310 9408 9500 9600 9728 9800 9835 9975 10000 10290 10500 10640 10678 10752 10976 11172 11200 11240 11400 11760 11802 11875 12000 12160 12250 12544 12768 12800 13034 13125 13300 13440 13488 13720 13769 13965 14000 14050 14250 14592 14700 14896 15000 15200 15680 15736 15960 16000 16017 16464 16625 16800 16860 17024 17150 17500 17920 17984 18240 18375 18620 18816 19000 19200 19551 19600 19670 19950 20000 20580 21000 21075 21280 21356 21952 22344 22400 22480 22800 23275 23520 23604 23750 24000 24320 24500 25088 25536 25725 26068 26250 26600 26695 26880 26976 27440 27538 27930 28000 28100 28500 29184 29400 29505 29792 30000 30400 30625 31360 31472 31920 32000 32034 32585 32928 33250 33600 33720 34048 34300 35000 35125 35625 35968 36480 36750 37240 37373 37632 38000 38400 39102 39200 39340 39900 40000 41160 41307 42000 42150 42560 42712 42875 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4957695881040000 5552619386764800 5783978527880000 6610261174720000 6940774233456000 7306078140480000 8675967791820000 9254365644608000 9915391762080000 11567957055760000 13881548466912000 17351935583640000 19830783524160000 23135914111520000 27763096933824000 34703871167280000 46271828223040000 69407742334560000 138815484669120000
- Sum of all divisors σ(n): 569303552847744000
- Sum of proper divisors (its aliquot sum) s(n): 430488068178624000
- 138815484669120000 is an abundant number, because the sum of its proper divisors (430488068178624000) is greater than itself. Its abundance is 291672583509504000
Bases of 138815484669120000
- Binary: 1111011010010101111110010101001010000011011001110000000002
- Hexadecimal: 0x1ED2BF2A506CE00
- Base-36: 11YTZDAEE39C
Squares and roots of 138815484669120000
- 138815484669120000 squared (1388154846691200002) is 19269738783922689755881574400000000
- 138815484669120000 cubed (1388154846691200003) is 2674938128737567212142892766473488662528000000000000
-
The
square root of 138815484669120000 is 372579501.1391796903 -
The
cube root of 138815484669120000 is 517780.8346571929
Scales and comparisons
How big is 138815484669120000?- 138,815,484,669,120,000 seconds is equal to 4,413,903,027 years, 51 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 138,815,484,669,120,000 would take you about thirteen billion, two hundred forty-one million, seven hundred nine thousand and eighty-three 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 138815484669120000 cubic inches would be around 43148.4 feet tall.
Recreational maths with 138815484669120000
- 138815484669120000 backwards is 000021966484518831
- The number of decimal digits it has is: 18
- The sum of 138815484669120000's digits is 66
- More coming soon!
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"Number 138815484669120000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
APA style:
Numbermatics. (2024). Number 138815484669120000 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138815484669120000/
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Numbermatics. 2024. "Number 138815484669120000 - Facts about the integer". https://numbermatics.com/n/138815484669120000/
The information we have on file for 138815484669120000 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 138815484669120000, math, Factors of 138815484669120000, curriculum, school, college, exams, university, Prime factorization of 138815484669120000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, eight hundred fifteen trillion, four hundred eighty-four billion, six hundred sixty-nine million, one hundred twenty thousand.