42168966378000
42,168,966,378,000 is an even composite number composed of nine prime numbers multiplied together.
What does the number 42168966378000 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 3840 divisors.
42168966378000 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 42168966378000:
24 × 3 × 53 × 7 × 11 × 17 × 312 × 37 × 151
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 11 × 17 × 31 × 31 × 37 × 151)See below for interesting mathematical facts about the number 42168966378000 from the Numbermatics database.
Names of 42168966378000
- Cardinal: 42168966378000 can be written as Forty-two trillion, one hundred sixty-eight billion, nine hundred sixty-six million, three hundred seventy-eight thousand.
Scientific notation
- Scientific notation: 4.2168966378 × 1013
Factors of 42168966378000
Divisors of 42168966378000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 17 20 21 22 24 25 28 30 31 33 34 35 37 40 42 44 48 50 51 55 56 60 62 66 68 70 74 75 77 80 84 85 88 93 100 102 105 110 111 112 119 120 124 125 132 136 140 148 150 151 154 155 165 168 170 175 176 185 186 187 200 204 210 217 220 222 231 238 240 248 250 255 259 264 272 275 280 296 300 302 308 310 330 336 340 341 350 357 370 372 374 375 385 400 407 408 420 425 434 440 444 453 462 465 476 496 500 510 518 525 527 528 550 555 560 561 592 595 600 604 616 620 629 651 660 680 682 700 714 740 744 748 750 755 770 775 777 814 816 825 840 850 868 875 880 888 906 924 925 930 935 952 961 1000 1020 1023 1036 1050 1054 1057 1085 1100 1110 1122 1147 1155 1190 1200 1208 1221 1232 1240 1258 1275 1295 1302 1309 1320 1360 1364 1375 1400 1428 1480 1488 1496 1500 1510 1540 1550 1554 1581 1628 1650 1661 1680 1700 1705 1736 1750 1776 1785 1812 1848 1850 1860 1870 1887 1904 1922 1925 2000 2035 2040 2046 2072 2100 2108 2114 2125 2170 2200 2220 2244 2265 2294 2310 2325 2380 2387 2416 2442 2480 2516 2550 2567 2590 2604 2618 2625 2635 2640 2728 2750 2775 2800 2805 2849 2856 2883 2960 2975 2992 3000 3020 3080 3100 3108 3145 3162 3171 3255 3256 3300 3322 3400 3410 3441 3472 3500 3570 3624 3689 3696 3700 3720 3740 3774 3775 3844 3850 3875 3885 3927 4070 4080 4092 4125 4144 4200 4216 4228 4250 4340 4400 4403 4440 4488 4530 4588 4620 4625 4650 4675 4681 4760 4774 4805 4884 4983 5032 5100 5115 5134 5180 5208 5236 5250 5270 5285 5425 5456 5500 5550 5587 5610 5698 5712 5735 5766 5775 5797 5950 6000 6040 6105 6160 6200 6216 6290 6324 6342 6375 6475 6510 6512 6545 6600 6644 6727 6800 6820 6882 6919 7000 7140 7161 7248 7378 7400 7440 7480 7548 7550 7688 7700 7701 7750 7770 7854 7905 8029 8140 8184 8250 8305 8400 8432 8456 8500 8525 8547 8680 8806 8880 8925 8976 9060 9176 9240 9250 9300 9350 9362 9435 9520 9548 9610 9625 9768 9966 10064 10175 10200 10230 10268 10360 10416 10472 10500 10540 10570 10571 10850 11000 11067 11100 11174 11220 11325 11396 11470 11532 11550 11594 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239596399875 240965522160 248052743400 251005752250 255569493200 272057847600 273824457000 279264678000 281126442520 284925448500 301206902700 310065929250 319461866500 337351731024 340072309500 351408053150 354361062000 376508628375 379900598000 383354239800 401609203600 413421239000 421689663780 453429746000 479192799750 496105486800 502011504500 527112079725 547648914000 562252885040 569850897000 602413805400 620131858500 638923733000 680144619000 702816106300 753017256750 766708479600 826842478000 843379327560 878520132875 958385599500 1004023009000 1054224159450 1139701794000 1204827610800 1240263717000 1277847466000 1360289238000 1405632212600 1506034513500 1686758655120 1757040265750 1916771199000 2008046018000 2108448318900 2480527434000 2635560398625 2811264425200 3012069027000 3514080531500 3833542398000 4216896637800 5271120797250 6024138054000 7028161063000 8433793275600 10542241594500 14056322126000 21084483189000 42168966378000
- Sum of all divisors σ(n): 191719573733376
- Sum of proper divisors (its aliquot sum) s(n): 149550607355376
- 42168966378000 is an abundant number, because the sum of its proper divisors (149550607355376) is greater than itself. Its abundance is 107381640977376
Bases of 42168966378000
- Binary: 10011001011010001110100100001011110010000100002
- Hexadecimal: 0x265A3A42F210
- Base-36: EY45LT72O
Squares and roots of 42168966378000
- 42168966378000 squared (421689663780002) is 1778221725388894438884000000
- 42168966378000 cubed (421689663780003) is 74985772150553438567890571842152000000000
-
The
square root of 42168966378000 is 6493763.6527671685 -
The
cube root of 42168966378000 is 34806.8177007813
Scales and comparisons
How big is 42168966378000?- 42,168,966,378,000 seconds is equal to 1,340,842 years, 36 weeks, 11 hours, 40 minutes.
-
To count from 1 to 42,168,966,378,000 would take you about three million, three hundred fifty-two thousand, one hundred 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 42168966378000 cubic inches would be around 2900.6 feet tall.
Recreational maths with 42168966378000
- 42168966378000 backwards is 00087366986124
- 42168966378000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42168966378000's digits is 60
- More coming soon!
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Cite this page
MLA style:
"Number 42168966378000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 42168966378000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/42168966378000/
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Numbermatics. 2024. "Number 42168966378000 - Facts about the integer". https://numbermatics.com/n/42168966378000/
The information we have on file for 42168966378000 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 42168966378000, math, Factors of 42168966378000, curriculum, school, college, exams, university, Prime factorization of 42168966378000, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, one hundred sixty-eight billion, nine hundred sixty-six million, three hundred seventy-eight thousand.