42305922116640
42,305,922,116,640 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42305922116640 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
42305922116640 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 42305922116640:
25 × 33 × 5 × 7 × 13 × 172 × 73 × 5101
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 13 × 17 × 17 × 73 × 5101)See below for interesting mathematical facts about the number 42305922116640 from the Numbermatics database.
Names of 42305922116640
- Cardinal: 42305922116640 can be written as Forty-two trillion, three hundred five billion, nine hundred twenty-two million, one hundred sixteen thousand, six hundred forty.
Scientific notation
- Scientific notation: 4.230592211664 × 1013
Factors of 42305922116640
Divisors of 42305922116640
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 20 21 24 26 27 28 30 32 34 35 36 39 40 42 45 48 51 52 54 56 60 63 65 68 70 72 73 78 80 84 85 90 91 96 102 104 105 108 112 117 119 120 126 130 135 136 140 144 146 153 156 160 168 170 180 182 189 195 204 208 210 216 219 221 224 234 238 240 252 255 260 270 272 273 280 288 289 292 306 312 315 336 340 351 357 360 364 365 378 390 408 416 420 432 438 442 455 459 468 476 480 504 510 511 520 540 544 546 560 578 584 585 595 612 624 630 657 663 672 680 702 714 720 728 730 756 765 780 816 819 840 864 867 876 884 910 918 936 945 949 952 1008 1020 1022 1040 1071 1080 1092 1095 1105 1120 1156 1168 1170 1190 1224 1241 1248 1260 1314 1326 1360 1365 1404 1428 1440 1445 1456 1460 1512 1530 1533 1547 1560 1632 1638 1680 1734 1752 1755 1768 1785 1820 1836 1872 1890 1898 1904 1971 1989 2016 2023 2040 2044 2080 2142 2160 2184 2190 2210 2295 2312 2336 2340 2380 2448 2457 2482 2520 2555 2601 2628 2652 2720 2730 2808 2847 2856 2890 2912 2920 3024 3060 3066 3094 3120 3213 3276 3285 3315 3360 3468 3504 3510 3536 3570 3640 3672 3723 3744 3757 3780 3796 3808 3942 3978 4046 4080 4088 4095 4284 4320 4335 4368 4380 4420 4590 4599 4624 4641 4680 4745 4760 4896 4914 4964 5040 5101 5110 5202 5256 5304 5355 5460 5616 5694 5712 5780 5840 5967 6048 6069 6120 6132 6188 6205 6240 6426 6552 6570 6630 6643 6936 7008 7020 7072 7140 7280 7344 7446 7514 7560 7592 7665 7735 7803 7884 7956 8092 8160 8176 8190 8541 8568 8670 8687 8736 8760 8840 9180 9198 9248 9282 9360 9490 9520 9828 9855 9928 9945 10080 10115 10202 10220 10404 10512 10608 10710 10920 11169 11232 11271 11388 11424 11560 11680 11934 12138 12240 12264 12285 12376 12410 12852 13005 13104 13140 13260 13286 13797 13872 13923 14040 14235 14280 14560 14688 14892 15028 15120 15184 15303 15330 15470 15606 15768 15912 16065 16133 16184 16352 16380 17082 17136 17340 17374 17520 17680 18207 18360 18396 18564 18615 18720 18785 18980 19040 19656 19710 19856 19890 19929 20230 20404 20440 20808 21024 21097 21216 21420 21840 22338 22542 22776 22995 23120 23205 23868 24276 24480 24528 24570 24752 24820 25505 25623 25704 26010 26061 26208 26280 26299 26520 26572 27594 27744 27846 28080 28470 28560 29784 29835 30056 30240 30345 30368 30606 30660 30940 31212 31536 31824 32130 32266 32368 32760 33215 33507 33813 34164 34272 34680 34748 35040 35360 35707 36414 36720 36792 37128 37230 37570 37960 39015 39312 39420 39712 39780 39858 40460 40808 40880 41616 41769 42194 42705 42840 43435 43680 44676 45084 45552 45909 45990 46240 46410 47736 48399 48552 49056 49140 49504 49640 51010 51246 51408 52020 52122 52560 52598 53040 53144 54621 55188 55692 55845 56160 56355 56940 57120 59568 59670 59787 60112 60690 61212 61320 61880 62424 63072 63291 63648 64260 64532 64736 65520 66313 66430 67014 67626 68328 68985 69360 69496 69615 71414 72828 73440 73584 74256 74460 75140 75920 76515 78030 78183 78624 78840 78897 79560 79716 80665 80920 81616 81760 83232 83538 84388 85410 85680 86717 86870 89352 90168 91035 91104 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2644120132290 2820394807776 3021851579760 3254301701280 3525493509720 4230592211664 4700658012960 5288240264580 6043703159520 7050987019440 8461184423328 10576480529160 14101974038880 21152961058320 42305922116640
- Sum of all divisors σ(n): 196281949731840
- Sum of proper divisors (its aliquot sum) s(n): 153976027615200
- 42305922116640 is an abundant number, because the sum of its proper divisors (153976027615200) is greater than itself. Its abundance is 111670105498560
Bases of 42305922116640
- Binary: 10011001111010000111010111010110101100001000002
- Hexadecimal: 0x267A1D75AC20
- Base-36: EZV2LPZC0
Squares and roots of 42305922116640
- 42305922116640 squared (423059221166402) is 1789791046139209497764889600
- 42305922116640 cubed (423059221166403) is 75718760603025025775777989575507922944000
-
The
square root of 42305922116640 is 6504300.2787878729 -
The
cube root of 42305922116640 is 34844.4586676271
Scales and comparisons
How big is 42305922116640?- 42,305,922,116,640 seconds is equal to 1,345,197 years, 24 weeks, 8 hours, 24 minutes.
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To count from 1 to 42,305,922,116,640 would take you about three million, three hundred sixty-two thousand, nine hundred ninety-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 42305922116640 cubic inches would be around 2903.7 feet tall.
Recreational maths with 42305922116640
- 42305922116640 backwards is 04661122950324
- 42305922116640 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42305922116640's digits is 45
- More coming soon!
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The information we have on file for 42305922116640 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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