42131414160000
42,131,414,160,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42131414160000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2880 divisors.
42131414160000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 42131414160000:
27 × 32 × 54 × 11 × 172 × 79 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 11 × 17 × 17 × 79 × 233)See below for interesting mathematical facts about the number 42131414160000 from the Numbermatics database.
Names of 42131414160000
- Cardinal: 42131414160000 can be written as Forty-two trillion, one hundred thirty-one billion, four hundred fourteen million, one hundred sixty thousand.
Scientific notation
- Scientific notation: 4.213141416 × 1013
Factors of 42131414160000
Divisors of 42131414160000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 30 32 33 34 36 40 44 45 48 50 51 55 60 64 66 68 72 75 79 80 85 88 90 96 99 100 102 110 120 125 128 132 136 144 150 153 158 160 165 170 176 180 187 192 198 200 204 220 225 233 237 240 250 255 264 272 275 288 289 300 306 316 320 330 340 352 360 374 375 384 395 396 400 408 425 440 450 466 474 480 495 500 510 528 544 550 561 576 578 600 612 625 632 640 660 680 699 704 711 720 748 750 765 790 792 800 816 825 850 867 869 880 900 932 935 948 960 990 1000 1020 1056 1088 1100 1122 1125 1152 1156 1165 1185 1200 1224 1250 1264 1275 1320 1343 1360 1375 1398 1408 1422 1440 1445 1496 1500 1530 1580 1584 1600 1632 1650 1683 1700 1734 1738 1760 1800 1864 1870 1875 1896 1920 1975 1980 2000 2040 2097 2112 2125 2176 2200 2244 2250 2312 2330 2370 2400 2448 2475 2500 2528 2550 2563 2601 2607 2640 2686 2720 2750 2796 2805 2844 2880 2890 2992 3000 3060 3160 3168 3179 3200 3264 3300 3366 3400 3468 3476 3495 3520 3555 3600 3728 3740 3750 3792 3825 3950 3960 3961 4000 4029 4080 4125 4194 4224 4250 4335 4345 4400 4488 4500 4624 4660 4675 4740 4800 4896 4950 5000 5056 5100 5126 5202 5214 5280 5372 5440 5500 5592 5610 5625 5688 5760 5780 5825 5925 5984 6000 6120 6320 6336 6358 6375 6528 6600 6715 6732 6800 6875 6936 6952 6990 7040 7110 7200 7225 7456 7480 7500 7584 7650 7689 7821 7900 7920 7922 8000 8058 8160 8250 8388 8415 8500 8670 8690 8800 8976 9000 9248 9320 9350 9480 9537 9600 9792 9875 9900 10000 10112 10200 10252 10404 10428 10485 10560 10625 10744 10880 11000 11184 11220 11250 11376 11560 11650 11850 11883 11968 12000 12087 12240 12375 12640 12672 12716 12750 12815 13005 13035 13200 13430 13464 13600 13750 13872 13904 13980 14025 14220 14400 14450 14773 14912 14960 15000 15168 15300 15378 15642 15800 15840 15844 15895 16000 16116 16320 16500 16776 16830 17000 17340 17380 17475 17600 17775 17952 18000 18407 18496 18640 18700 18960 19074 19125 19584 19750 19800 19805 20000 20145 20400 20504 20625 20808 20856 20970 21120 21250 21488 21675 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165221232000 168525656640 175547559000 177769680000 180821520000 187250729600 191506428000 206526540000 210657070800 212784920000 219434448750 225301680000 234063412000 239383035000 247831848000 255341904000 263321338500 266654520000 275368720000 280876094400 292579265000 309789810000 319177380000 329151673125 337051313280 351095118000 383012856000 413053080000 421314141600 425569840000 438868897500 468126824000 478766070000 495663696000 526642677000 533309040000 561752188800 585158530000 619579620000 638354760000 658303346250 702190236000 766025712000 826106160000 842628283200 877737795000 936253648000 957532140000 1053285354000 1170317060000 1239159240000 1276709520000 1316606692500 1404380472000 1685256566400 1755475590000 1915064280000 2106570708000 2340634120000 2478318480000 2633213385000 2808760944000 3510951180000 3830128560000 4213141416000 4681268240000 5266426770000 7021902360000 8426282832000 10532853540000 14043804720000 21065707080000 42131414160000
- Sum of all divisors σ(n): 178550073187200
- Sum of proper divisors (its aliquot sum) s(n): 136418659027200
- 42131414160000 is an abundant number, because the sum of its proper divisors (136418659027200) is greater than itself. Its abundance is 94287244867200
Bases of 42131414160000
- Binary: 10011001010001011110111111100110010010100000002
- Hexadecimal: 0x26517BF99280
- Base-36: EXMWK6U80
Squares and roots of 42131414160000
- 42131414160000 squared (421314141600002) is 1775056059121448505600000000
- 42131414160000 cubed (421314141600003) is 74785621984063192728546679296000000000000
-
The
square root of 42131414160000 is 6490871.6024891449 -
The
cube root of 42131414160000 is 34796.4826012895
Scales and comparisons
How big is 42131414160000?- 42,131,414,160,000 seconds is equal to 1,339,648 years, 33 weeks, 5 days, 8 hours.
-
To count from 1 to 42,131,414,160,000 would take you about three million, three hundred forty-nine thousand, one hundred twenty-one 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 42131414160000 cubic inches would be around 2899.7 feet tall.
Recreational maths with 42131414160000
- 42131414160000 backwards is 00006141413124
- The number of decimal digits it has is: 14
- The sum of 42131414160000's digits is 27
- More coming soon!
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Cite this page
MLA style:
"Number 42131414160000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 42131414160000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/42131414160000/
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The information we have on file for 42131414160000 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!
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