442140098400000
442,140,098,400,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 442140098400000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 6912 divisors.
442140098400000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six thousand, nine hundred twelve divisors.
Prime factorization of 442140098400000:
28 × 33 × 55 × 7 × 113 × 133
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 11 × 11 × 11 × 13 × 13 × 13)See below for interesting mathematical facts about the number 442140098400000 from the Numbermatics database.
Names of 442140098400000
- Cardinal: 442140098400000 can be written as Four hundred forty-two trillion, one hundred forty billion, ninety-eight million, four hundred thousand.
Scientific notation
- Scientific notation: 4.421400984 × 1014
Factors of 442140098400000
Divisors of 442140098400000
- Number of divisors d(n): 6912
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 25 26 27 28 30 32 33 35 36 39 40 42 44 45 48 50 52 54 55 56 60 63 64 65 66 70 72 75 77 78 80 84 88 90 91 96 99 100 104 105 108 110 112 117 120 121 125 126 128 130 132 135 140 143 144 150 154 156 160 165 168 169 175 176 180 182 189 192 195 198 200 208 210 216 220 224 225 231 234 240 242 250 252 256 260 264 270 273 275 280 286 288 297 300 308 312 315 320 325 330 336 338 350 351 352 360 363 364 375 378 384 385 390 396 400 416 420 429 432 440 448 450 455 462 468 480 484 495 500 504 507 520 525 528 540 546 550 560 572 576 585 594 600 605 616 624 625 630 640 650 660 672 675 676 693 700 702 704 715 720 726 728 750 756 768 770 780 792 800 819 825 832 840 845 847 858 864 875 880 896 900 910 924 936 945 960 968 975 990 1000 1001 1008 1014 1040 1050 1056 1080 1089 1092 1100 1120 1125 1144 1152 1155 1170 1183 1188 1200 1210 1232 1248 1250 1260 1280 1287 1300 1320 1331 1344 1350 1352 1365 1375 1386 1400 1404 1408 1430 1440 1452 1456 1485 1500 1512 1521 1540 1560 1573 1575 1584 1600 1625 1638 1650 1664 1680 1690 1694 1716 1728 1750 1755 1760 1792 1800 1815 1820 1848 1859 1872 1875 1890 1920 1925 1936 1950 1980 2000 2002 2016 2028 2079 2080 2100 2112 2145 2160 2178 2184 2197 2200 2240 2250 2275 2288 2304 2310 2340 2366 2376 2400 2420 2457 2464 2475 2496 2500 2520 2535 2541 2574 2600 2625 2640 2662 2688 2700 2704 2730 2750 2772 2800 2808 2816 2860 2880 2904 2912 2925 2970 3000 3003 3024 3025 3042 3080 3120 3125 3146 3150 3168 3200 3250 3267 3276 3300 3328 3360 3375 3380 3388 3432 3456 3465 3500 3510 3520 3549 3575 3600 3630 3640 3696 3718 3744 3750 3780 3840 3850 3861 3872 3900 3960 3993 4000 4004 4032 4056 4095 4125 4158 4160 4200 4224 4225 4235 4290 4320 4356 4368 4375 4394 4400 4480 4500 4550 4563 4576 4620 4680 4719 4725 4732 4752 4800 4840 4875 4914 4928 4950 4992 5000 5005 5040 5070 5082 5148 5200 5250 5280 5324 5376 5400 5408 5445 5460 5500 5544 5577 5600 5616 5625 5720 5760 5775 5808 5824 5850 5915 5940 6000 6006 6048 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110535024600000 147380032800000 221070049200000 442140098400000
- Sum of all divisors σ(n): 2225466960998400
- Sum of proper divisors (its aliquot sum) s(n): 1783326862598400
- 442140098400000 is an abundant number, because the sum of its proper divisors (1783326862598400) is greater than itself. Its abundance is 1341186764198400
Bases of 442140098400000
- Binary: 11001001000011111110000111000000110001111000000002
- Hexadecimal: 0x1921FC3818F00
- Base-36: 4CQ4CUV9C0
Squares and roots of 442140098400000
- 442140098400000 squared (4421400984000002) is 195487866613161682560000000000
- 442140098400000 cubed (4421400984000003) is 86433024580349381062187963904000000000000000
-
The
square root of 442140098400000 is 21027127.6783111773 -
The
cube root of 442140098400000 is 76182.1633495153
Scales and comparisons
How big is 442140098400000?- 442,140,098,400,000 seconds is equal to 14,058,687 years, 26 weeks.
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To count from 1 to 442,140,098,400,000 would take you about thirty-five million, one hundred forty-six thousand, seven 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 442140098400000 cubic inches would be around 6348.5 feet tall.
Recreational maths with 442140098400000
- 442140098400000 backwards is 000004890041244
- 442140098400000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 442140098400000's digits is 36
- More coming soon!
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The information we have on file for 442140098400000 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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