42442388853312000
42,442,388,853,312,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42442388853312000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2880 divisors.
42442388853312000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 42442388853312000:
29 × 3 × 53 × 72 × 193 × 8112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 19 × 19 × 19 × 811 × 811)See below for interesting mathematical facts about the number 42442388853312000 from the Numbermatics database.
Names of 42442388853312000
- Cardinal: 42442388853312000 can be written as Forty-two quadrillion, four hundred forty-two trillion, three hundred eighty-eight billion, eight hundred fifty-three million, three hundred twelve thousand.
Scientific notation
- Scientific notation: 4.2442388853312 × 1016
Factors of 42442388853312000
Divisors of 42442388853312000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 32 35 38 40 42 48 49 50 56 57 60 64 70 75 76 80 84 95 96 98 100 105 112 114 120 125 128 133 140 147 150 152 160 168 175 190 192 196 200 210 224 228 240 245 250 256 266 280 285 294 300 304 320 336 350 361 375 380 384 392 399 400 420 448 456 475 480 490 500 512 525 532 560 570 588 600 608 640 665 672 700 722 735 750 760 768 784 798 800 811 840 875 896 912 931 950 960 980 1000 1050 1064 1083 1120 1140 1176 1200 1216 1225 1280 1330 1344 1400 1425 1444 1470 1500 1520 1536 1568 1596 1600 1622 1680 1750 1792 1805 1824 1862 1900 1920 1960 1995 2000 2100 2128 2166 2240 2280 2352 2375 2400 2432 2433 2450 2527 2560 2625 2660 2688 2793 2800 2850 2888 2940 3000 3040 3136 3192 3200 3244 3325 3360 3500 3584 3610 3648 3675 3724 3800 3840 3920 3990 4000 4055 4200 4256 4332 4480 4560 4655 4704 4750 4800 4864 4866 4900 5054 5250 5320 5376 5415 5586 5600 5677 5700 5776 5880 6000 6080 6125 6272 6384 6400 6488 6650 6720 6859 7000 7125 7220 7296 7350 7448 7581 7600 7680 7840 7980 8000 8110 8400 8512 8664 8960 9025 9120 9310 9408 9500 9600 9728 9732 9800 9975 10108 10500 10640 10752 10830 11172 11200 11354 11400 11552 11760 12000 12160 12165 12250 12544 12635 12768 12800 12976 13300 13440 13718 13965 14000 14250 14440 14592 14700 14896 15162 15200 15409 15680 15960 16000 16220 16625 16800 17024 17031 17328 17689 17920 18050 18240 18375 18620 18816 19000 19200 19464 19600 19950 20216 20275 20577 21000 21280 21660 22344 22400 22708 22800 23104 23275 23520 24000 24320 24330 24500 25088 25270 25536 25952 26600 26880 27075 27436 27930 28000 28385 28500 28880 29184 29400 29792 30324 30400 30818 31360 31920 32000 32440 33250 33600 34048 34062 34295 34656 35378 36100 36480 36750 37240 37632 37905 38000 38400 38928 39200 39739 39900 40432 40550 41154 42000 42560 43320 44688 44800 45125 45416 45600 46208 46227 46550 47040 48000 48013 48640 48660 49000 49875 50540 51072 51904 53067 53200 53760 54150 54872 55860 56000 56770 57000 57760 58800 59584 60648 60800 60825 61636 62720 63175 63840 64000 64880 66500 67200 68096 68124 68590 69312 69825 70756 72200 72960 73500 74480 75264 75810 76000 77045 77856 78400 79478 79800 80864 81100 82308 84000 85120 85155 86640 88445 89376 89600 90250 90832 91200 92416 92454 93100 94080 96000 96026 97320 98000 99750 101080 101375 102144 102885 103808 106134 106400 107863 108300 109744 111720 112000 113540 114000 115520 116375 117600 119168 119217 121296 121600 121650 123272 125440 126350 127680 129760 133000 134400 135375 136248 137180 138624 139650 141512 141925 144039 144400 145920 147000 148960 151620 152000 154090 155712 156800 158956 159600 161728 162200 164616 168000 170240 170310 171475 173280 176890 178752 180500 181664 182400 184832 184908 186200 188160 189525 192000 192052 194640 196000 198695 199500 202160 202750 204288 205770 207616 212268 212800 215726 216600 219488 223440 224000 227080 228000 231040 231135 232750 235200 238336 238434 240065 242592 243200 243300 246544 252700 255360 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108271400136000 110527054305500 111690496982400 113179703608832 117568944192000 121263968152320 126316633492000 132632465166600 139613121228000 141474629511040 144361866848000 148920662643200 151579960190400 159557852832000 165790581458250 169769555413248 173234240217600 176843286888800 186150828304000 189474950238000 202106613587200 212211944266560 216542800272000 221054108611000 223380993964800 242527936304640 252633266984000 265264930333200 279226242456000 282949259022080 288723733696000 303159920380800 319115705664000 331581162916500 339539110826496 353686573777600 372301656608000 378949900476000 404213227174400 424423888533120 433085600544000 442108217222000 446761987929600 505266533968000 530529860666400 558452484912000 565898518044160 606319840761600 663162325833000 707373147555200 744603313216000 757899800952000 848847777066240 866171201088000 884216434444000 1010533067936000 1061059721332800 1116904969824000 1212639681523200 1326324651666000 1414746295110400 1515799601904000 1697695554132480 1768432868888000 2021066135872000 2122119442665600 2233809939648000 2652649303332000 2829492590220800 3031599203808000 3536865737776000 4244238885331200 5305298606664000 6063198407616000 7073731475552000 8488477770662400 10610597213328000 14147462951104000 21221194426656000 42442388853312000
- Sum of all divisors σ(n): 173480708920970880
- Sum of proper divisors (its aliquot sum) s(n): 131038320067658880
- 42442388853312000 is an abundant number, because the sum of its proper divisors (131038320067658880) is greater than itself. Its abundance is 88595931214346880
Bases of 42442388853312000
- Binary: 100101101100100100100000101101110000010101001010000000002
- Hexadecimal: 0x96C920B7054A00
- Base-36: BLWKK9P979C
Squares and roots of 42442388853312000
- 42442388853312000 squared (424423888533120002) is 1801356371575742706253369344000000
- 42442388853312000 cubed (424423888533120003) is 76453867585808851469015688163828573667328000000000
-
The
square root of 42442388853312000 is 206015506.3419062153 -
The
cube root of 42442388853312000 is 348818.8452196643
Scales and comparisons
How big is 42442388853312000?- 42,442,388,853,312,000 seconds is equal to 1,349,536,682 years, 31 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 42,442,388,853,312,000 would take you about four billion, forty-eight million, six hundred ten thousand and forty-seven 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 42442388853312000 cubic inches would be around 29068.2 feet tall.
Recreational maths with 42442388853312000
- 42442388853312000 backwards is 00021335888324424
- 42442388853312000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42442388853312000's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 42442388853312000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 42442388853312000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/42442388853312000/
Chicago style:
Numbermatics. 2024. "Number 42442388853312000 - Facts about the integer". https://numbermatics.com/n/42442388853312000/
The information we have on file for 42442388853312000 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 42442388853312000, math, Factors of 42442388853312000, curriculum, school, college, exams, university, Prime factorization of 42442388853312000, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, four hundred forty-two trillion, three hundred eighty-eight billion, eight hundred fifty-three million, three hundred twelve thousand.