42345889666080
42,345,889,666,080 is an even composite number composed of nine prime numbers multiplied together.
What does the number 42345889666080 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 2304 divisors.
42345889666080 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 42345889666080:
25 × 3 × 5 × 72 × 11 × 13 × 17 × 83 × 8923
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 11 × 13 × 17 × 83 × 8923)See below for interesting mathematical facts about the number 42345889666080 from the Numbermatics database.
Names of 42345889666080
- Cardinal: 42345889666080 can be written as Forty-two trillion, three hundred forty-five billion, eight hundred eighty-nine million, six hundred sixty-six thousand and eighty.
Scientific notation
- Scientific notation: 4.234588966608 × 1013
Factors of 42345889666080
Divisors of 42345889666080
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 17 20 21 22 24 26 28 30 32 33 34 35 39 40 42 44 48 49 51 52 55 56 60 65 66 68 70 77 78 80 83 84 85 88 91 96 98 102 104 105 110 112 119 120 130 132 136 140 143 147 154 156 160 165 166 168 170 176 182 187 195 196 204 208 210 220 221 224 231 238 240 245 249 255 260 264 272 273 280 286 294 308 312 330 332 336 340 352 357 364 374 385 390 392 408 415 416 420 429 440 442 455 462 476 480 490 498 510 520 528 539 544 546 560 561 572 581 588 595 616 624 637 660 663 664 672 680 714 715 728 735 748 770 780 784 816 830 833 840 858 880 884 910 913 924 935 952 980 996 1001 1020 1040 1056 1078 1079 1092 1105 1120 1122 1144 1155 1162 1176 1190 1232 1245 1248 1274 1309 1320 1326 1328 1360 1365 1411 1428 1430 1456 1470 1496 1540 1547 1560 1568 1617 1632 1660 1666 1680 1716 1743 1760 1768 1785 1820 1826 1848 1870 1904 1911 1960 1992 2002 2040 2080 2145 2156 2158 2184 2210 2244 2288 2310 2324 2352 2380 2431 2464 2490 2499 2548 2618 2640 2652 2656 2695 2720 2730 2739 2805 2822 2856 2860 2905 2912 2940 2992 3003 3080 3094 3120 3185 3234 3237 3315 3320 3332 3360 3432 3486 3536 3570 3640 3652 3696 3740 3808 3822 3920 3927 3984 4004 4067 4080 4165 4233 4290 4312 4316 4368 4420 4488 4565 4576 4620 4641 4648 4704 4760 4862 4980 4998 5005 5096 5236 5280 5304 5390 5395 5460 5478 5610 5644 5712 5720 5810 5880 5984 6006 6160 6188 6240 6370 6391 6468 6474 6545 6630 6640 6664 6864 6972 7007 7055 7072 7140 7280 7293 7304 7392 7480 7553 7644 7735 7840 7854 7968 8008 8085 8134 8160 8330 8466 8580 8624 8632 8715 8736 8840 8923 8976 9130 9163 9240 9282 9296 9520 9555 9724 9877 9960 9996 10010 10192 10472 10608 10780 10790 10829 10920 10956 11220 11288 11424 11440 11620 11760 11869 12012 12155 12201 12320 12376 12495 12740 12782 12936 12948 13090 13260 13280 13328 13695 13728 13944 14014 14110 14280 14560 14586 14608 14960 15015 15106 15288 15470 15521 15708 16016 16170 16185 16268 16660 16932 17017 17160 17248 17264 17430 17680 17846 17952 18260 18326 18343 18480 18564 18592 19040 19110 19173 19448 19635 19754 19920 19992 20020 20335 20384 20944 21021 21165 21216 21560 21580 21658 21840 21912 22440 22576 22659 22880 23205 23240 23520 23738 24024 24310 24402 24752 24990 25480 25564 25872 25896 26180 26520 26656 26769 27390 27489 27888 28028 28220 28560 29172 29216 29631 29920 30030 30212 30576 30940 31042 31416 31955 32032 32340 32370 32487 32536 33320 33864 34034 34320 34528 34860 35035 35360 35607 35692 36465 36520 36652 36686 36960 37128 37765 38220 38346 38896 39270 39508 39840 39984 40040 40670 41888 42042 42330 43120 43160 43316 43680 43824 44615 44737 44880 45152 45318 45815 46410 46480 46563 47476 48048 48620 48804 49385 49504 49980 50960 51051 51128 51744 51792 52360 52871 53040 53538 54145 54780 54978 55029 55776 56056 56440 57120 58344 59262 59345 60060 60424 61005 61152 61880 62084 62461 62832 63910 64680 64740 64974 65072 66640 67728 68068 68640 69139 69720 70070 71214 71384 72930 73040 73304 73372 74256 75530 76440 76692 77605 77792 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2823059311072 3024706404720 3257376128160 3528824138840 3849626333280 4234588966608 5293236208260 6049412809440 7057648277680 8469177933216 10586472416520 14115296555360 21172944833040 42345889666080
- Sum of all divisors σ(n): 195365233760256
- Sum of proper divisors (its aliquot sum) s(n): 153019344094176
- 42345889666080 is an abundant number, because the sum of its proper divisors (153019344094176) is greater than itself. Its abundance is 110673454428096
Bases of 42345889666080
- Binary: 10011010000011011010111011011000010100001000002
- Hexadecimal: 0x26836BB61420
- Base-36: F0DFLD9UO
Squares and roots of 42345889666080
- 42345889666080 squared (423458896660802) is 1793174371611820933902566400
- 42345889666080 cubed (423458896660803) is 75933564092316505798116101243351027712000
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The
square root of 42345889666080 is 6507371.9477282071 -
The
cube root of 42345889666080 is 34855.4280483317
Scales and comparisons
How big is 42345889666080?- 42,345,889,666,080 seconds is equal to 1,346,468 years, 15 weeks, 6 days, 17 hours, 28 minutes.
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To count from 1 to 42,345,889,666,080 would take you about three million, three hundred sixty-six thousand, one hundred seventy 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 42345889666080 cubic inches would be around 2904.6 feet tall.
Recreational maths with 42345889666080
- 42345889666080 backwards is 08066698854324
- The number of decimal digits it has is: 14
- The sum of 42345889666080's digits is 69
- More coming soon!
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The information we have on file for 42345889666080 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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