42345527133888000
42,345,527,133,888,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42345527133888000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3840 divisors.
42345527133888000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 42345527133888000:
29 × 32 × 53 × 11 × 61 × 113 × 521 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 61 × 113 × 521 × 1861)See below for interesting mathematical facts about the number 42345527133888000 from the Numbermatics database.
Names of 42345527133888000
- Cardinal: 42345527133888000 can be written as Forty-two quadrillion, three hundred forty-five trillion, five hundred twenty-seven billion, one hundred thirty-three million, eight hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 4.2345527133888 × 1016
Factors of 42345527133888000
Divisors of 42345527133888000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 61 64 66 72 75 80 88 90 96 99 100 110 113 120 122 125 128 132 144 150 160 165 176 180 183 192 198 200 220 225 226 240 244 250 256 264 275 288 300 305 320 330 339 352 360 366 375 384 396 400 440 450 452 480 488 495 500 512 521 528 549 550 565 576 600 610 640 660 671 678 704 720 732 750 768 792 800 825 880 900 904 915 960 976 990 1000 1017 1042 1056 1098 1100 1125 1130 1152 1200 1220 1243 1280 1320 1342 1356 1375 1408 1440 1464 1500 1525 1536 1563 1584 1600 1650 1695 1760 1800 1808 1830 1861 1920 1952 1980 2000 2013 2034 2084 2112 2196 2200 2250 2260 2304 2400 2440 2475 2486 2560 2605 2640 2684 2712 2745 2750 2816 2825 2880 2928 3000 3050 3126 3168 3200 3300 3355 3390 3520 3600 3616 3660 3722 3729 3840 3904 3960 4000 4026 4068 4125 4168 4224 4392 4400 4500 4520 4575 4608 4689 4800 4880 4950 4972 5085 5210 5280 5368 5424 5490 5500 5583 5632 5650 5731 5760 5856 6000 6039 6100 6215 6252 6336 6400 6600 6710 6780 6893 7040 7200 7232 7320 7444 7458 7625 7680 7808 7815 7920 8000 8052 8136 8250 8336 8448 8475 8784 8800 9000 9040 9150 9305 9378 9600 9760 9900 9944 10065 10170 10420 10560 10736 10848 10980 11000 11166 11187 11300 11462 11520 11712 12000 12078 12200 12375 12430 12504 12672 12800 13025 13200 13420 13560 13725 13786 14080 14125 14400 14464 14640 14888 14916 15250 15616 15630 15840 16000 16104 16272 16500 16672 16749 16775 16896 16950 17193 17568 17600 18000 18080 18300 18610 18645 18756 19200 19520 19800 19888 20130 20340 20471 20679 20840 21120 21472 21696 21960 22000 22332 22374 22600 22875 22924 23040 23424 23445 24000 24156 24400 24750 24860 25008 25344 25425 26050 26400 26840 27120 27450 27572 27915 28160 28250 28655 28800 28928 29280 29776 29832 30195 30500 31075 31232 31260 31680 31781 32000 32208 32544 33000 33344 33498 33550 33900 34386 34465 35136 35200 36000 36160 36600 37220 37290 37512 38400 39040 39075 39600 39776 40260 40680 40942 41358 41680 42240 42375 42944 43392 43920 44000 44664 44748 45200 45750 45848 46525 46848 46890 48000 48312 48800 49500 49720 50016 50325 50688 50850 51579 52100 52800 53680 54240 54900 55144 55830 55935 56500 57310 57600 57856 58560 58873 59552 59664 60390 61000 61413 62037 62150 62520 63360 63562 64000 64416 65088 65125 66000 66688 66996 67100 67800 68625 68772 68930 70272 70400 72000 72320 73200 74440 74580 75024 75823 78080 78150 79200 79552 80520 81360 81884 82716 83360 83745 83875 84480 84750 85888 85965 86784 87840 88000 89328 89496 90400 91500 91696 93050 93225 93696 93780 95343 96000 96624 97600 99000 99440 100032 100650 101700 102355 103158 103395 104200 105600 107360 108480 109800 110288 111660 111870 113000 113521 114620 115200 117120 117225 117746 119104 119328 120780 122000 122826 124074 124300 125040 126720 127124 127125 128832 130176 130250 132000 133376 133992 134200 135600 137250 137544 137860 139575 140544 140800 143275 144000 144640 146400 148880 149160 150048 150975 151646 155375 156160 156300 158400 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330824430733500 338764217071104 347094484704000 352879392782400 374739178176000 384959337580800 423455271338880 427732597312000 441099240978000 470505857043200 481199171976000 529319089173600 564607028451840 588132321304000 641598895968000 661648861467000 694188969408000 705758785564800 769918675161600 846910542677760 882198481956000 941011714086400 962398343952000 1058638178347200 1176264642608000 1283197791936000 1323297722934000 1411517571129600 1693821085355520 1764396963912000 1924796687904000 2117276356694400 2352529285216000 2646595445868000 2823035142259200 3528793927824000 3849593375808000 4234552713388800 4705058570432000 5293190891736000 7057587855648000 8469105426777600 10586381783472000 14115175711296000 21172763566944000 42345527133888000
- Sum of all divisors σ(n): 171029706681689856
- Sum of proper divisors (its aliquot sum) s(n): 128684179547801856
- 42345527133888000 is an abundant number, because the sum of its proper divisors (128684179547801856) is greater than itself. Its abundance is 86338652413913856
Bases of 42345527133888000
- Binary: 100101100111000100001000010101101010010001011110000000002
- Hexadecimal: 0x96710856A45E00
- Base-36: BKY8ILYEM80
Squares and roots of 42345527133888000
- 42345527133888000 squared (423455271338880002) is 1793143668246844855877996544000000
- 42345527133888000 cubed (423455271338880003) is 75931613858706230963626375423651889283072000000000
-
The
square root of 42345527133888000 is 205780288.4969500669 -
The
cube root of 42345527133888000 is 348553.2857979681
Scales and comparisons
How big is 42345527133888000?- 42,345,527,133,888,000 seconds is equal to 1,346,456,779 years, 28 weeks, 1 day, 8 hours.
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To count from 1 to 42,345,527,133,888,000 would take you about four billion, thirty-nine million, three hundred seventy thousand, three hundred thirty-eight 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 42345527133888000 cubic inches would be around 29046.1 feet tall.
Recreational maths with 42345527133888000
- 42345527133888000 backwards is 00088833172554324
- The number of decimal digits it has is: 17
- The sum of 42345527133888000's digits is 63
- More coming soon!
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The information we have on file for 42345527133888000 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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