138616785216000
138,616,785,216,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138616785216000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3600 divisors.
138616785216000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, six hundred divisors.
Prime factorization of 138616785216000:
29 × 34 × 53 × 72 × 132 × 3229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 13 × 13 × 3229)See below for interesting mathematical facts about the number 138616785216000 from the Numbermatics database.
Names of 138616785216000
- Cardinal: 138616785216000 can be written as One hundred thirty-eight trillion, six hundred sixteen billion, seven hundred eighty-five million, two hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.38616785216 × 1014
Factors of 138616785216000
Divisors of 138616785216000
- Number of divisors d(n): 3600
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 49 50 52 54 56 60 63 64 65 70 72 75 78 80 81 84 90 91 96 98 100 104 105 108 112 117 120 125 126 128 130 135 140 144 147 150 156 160 162 168 169 175 180 182 189 192 195 196 200 208 210 216 224 225 234 240 245 250 252 256 260 270 273 280 288 294 300 312 315 320 324 325 336 338 350 351 360 364 375 378 384 390 392 400 405 416 420 432 441 448 450 455 468 480 490 500 504 507 512 520 525 540 546 560 567 576 585 588 600 624 630 637 640 648 650 672 675 676 700 702 720 728 735 750 756 768 780 784 800 810 819 832 840 845 864 875 882 896 900 910 936 945 960 975 980 1000 1008 1014 1040 1050 1053 1080 1092 1120 1125 1134 1152 1170 1176 1183 1200 1225 1248 1260 1274 1280 1296 1300 1323 1344 1350 1352 1365 1400 1404 1440 1456 1470 1500 1512 1521 1536 1560 1568 1575 1600 1620 1625 1638 1664 1680 1690 1728 1750 1755 1764 1792 1800 1820 1872 1890 1911 1920 1950 1960 2000 2016 2025 2028 2080 2100 2106 2160 2184 2205 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1026791001600 1066282963200 1082943634500 1100133216000 1108934281728 1155139876800 1184758848000 1237649868000 1283488752000 1320159859200 1332853704000 1386167852160 1414456992000 1443924846000 1523261376000 1540186502400 1650199824000 1711318336000 1732709815200 1777138272000 1848223802880 1925233128000 1980239788800 2132565926400 2165887269000 2200266432000 2310279753600 2475299736000 2566977504000 2665707408000 2772335704320 2828913984000 2887849692000 3080373004800 3300399648000 3465419630400 3554276544000 3850466256000 3960479577600 4331774538000 4620559507200 4950599472000 5133955008000 5331414816000 5544671408640 5775699384000 6600799296000 6930839260800 7700932512000 8663549076000 9241119014400 9901198944000 10662829632000 11551398768000 13861678521600 15401865024000 17327098152000 19802397888000 23102797536000 27723357043200 34654196304000 46205595072000 69308392608000 138616785216000
- Sum of all divisors σ(n): 650600016735240
- Sum of proper divisors (its aliquot sum) s(n): 511983231519240
- 138616785216000 is an abundant number, because the sum of its proper divisors (511983231519240) is greater than itself. Its abundance is 373366446303240
Bases of 138616785216000
- Binary: 111111000010010001111000011111000100010000000002
- Hexadecimal: 0x7E123C3E2200
- Base-36: 1D4VO6XS00
Squares and roots of 138616785216000
- 138616785216000 squared (1386167852160002) is 19214613143618676166656000000
- 138616785216000 cubed (1386167852160003) is 2663467903137520595199612972957696000000000
-
The
square root of 138616785216000 is 11773562.9788097707 -
The
cube root of 138616785216000 is 51753.3667475653
Scales and comparisons
How big is 138616785216000?- 138,616,785,216,000 seconds is equal to 4,407,585 years.
-
To count from 1 to 138,616,785,216,000 would take you about eleven million, eighteen thousand, nine hundred sixty-two 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 138616785216000 cubic inches would be around 4312.8 feet tall.
Recreational maths with 138616785216000
- 138616785216000 backwards is 000612587616831
- 138616785216000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138616785216000's digits is 54
- More coming soon!
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MLA style:
"Number 138616785216000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.
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Numbermatics. (2024). Number 138616785216000 - Facts about the integer. Retrieved 18 May 2024, from https://numbermatics.com/n/138616785216000/
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The information we have on file for 138616785216000 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 138616785216000, math, Factors of 138616785216000, curriculum, school, college, exams, university, Prime factorization of 138616785216000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, six hundred sixteen billion, seven hundred eighty-five million, two hundred sixteen thousand.