3428224831382400
3,428,224,831,382,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3428224831382400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
3428224831382400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 3428224831382400:
27 × 35 × 52 × 7 × 47 × 137 × 97813
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 47 × 137 × 97813)See below for interesting mathematical facts about the number 3428224831382400 from the Numbermatics database.
Names of 3428224831382400
- Cardinal: 3428224831382400 can be written as Three quadrillion, four hundred twenty-eight trillion, two hundred twenty-four billion, eight hundred thirty-one million, three hundred eighty-two thousand, four hundred.
Scientific notation
- Scientific notation: 3.4282248313824 × 1015
Factors of 3428224831382400
Divisors of 3428224831382400
- 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 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 47 48 50 54 56 60 63 64 70 72 75 80 81 84 90 94 96 100 105 108 112 120 126 128 135 137 140 141 144 150 160 162 168 175 180 188 189 192 200 210 216 224 225 235 240 243 252 270 274 280 282 288 300 315 320 324 329 336 350 360 376 378 384 400 405 411 420 423 432 448 450 470 480 486 504 525 540 548 560 564 567 576 600 630 640 648 658 672 675 685 700 705 720 752 756 800 810 822 840 846 864 896 900 940 945 959 960 972 987 1008 1050 1080 1096 1120 1128 1134 1152 1175 1200 1215 1233 1260 1269 1296 1316 1344 1350 1370 1400 1410 1440 1504 1512 1575 1600 1620 1644 1645 1680 1692 1701 1728 1800 1880 1890 1918 1920 1944 1974 2016 2025 2055 2100 2115 2160 2192 2240 2256 2268 2350 2400 2430 2466 2520 2538 2592 2632 2688 2700 2740 2800 2820 2835 2877 2880 2961 3008 3024 3150 3200 3240 3288 3290 3360 3384 3402 3425 3456 3525 3600 3699 3760 3780 3807 3836 3888 3948 4032 4050 4110 4200 4230 4320 4384 4480 4512 4536 4700 4725 4795 4800 4860 4932 4935 5040 5076 5184 5264 5400 5480 5600 5640 5670 5754 5760 5922 6016 6048 6075 6165 6300 6345 6439 6480 6576 6580 6720 6768 6804 6850 7050 7200 7398 7520 7560 7614 7672 7776 7896 8064 8100 8220 8225 8400 8460 8505 8631 8640 8768 8883 9024 9072 9400 9450 9590 9600 9720 9864 9870 10080 10152 10275 10368 10528 10575 10800 10960 11097 11200 11280 11340 11421 11508 11844 12096 12150 12330 12600 12690 12878 12960 13152 13160 13440 13536 13608 13700 14100 14175 14385 14400 14796 14805 15040 15120 15228 15344 15552 15792 16200 16440 16450 16800 16920 17010 17262 17280 17536 17766 18048 18144 18495 18800 18900 19035 19180 19317 19440 19728 19740 20160 20304 20550 21056 21150 21600 21920 22194 22400 22560 22680 22842 23016 23688 23975 24192 24300 24660 24675 25200 25380 25756 25893 25920 26304 26320 26649 27072 27216 27400 28200 28350 28770 28800 29592 29610 30080 30240 30456 30688 30825 31104 31584 31725 32195 32400 32880 32900 33291 33600 33840 34020 34524 35532 36288 36990 37600 37800 38070 38360 38634 38880 39456 39480 40320 40608 41100 42112 42300 42525 43155 43200 43840 44388 44415 45073 45120 45360 45684 46032 47376 47950 48600 49320 49350 50400 50760 51512 51786 51840 52608 52640 53298 54144 54432 54800 55485 56400 56700 57105 57540 57951 59184 59220 60480 60912 61376 61650 63168 63450 64390 64800 65760 65800 66582 67200 67680 68040 69048 71064 71925 72576 73980 74025 75200 75600 76140 76720 77268 77679 77760 78912 78960 79947 81216 82200 84600 85050 86310 86400 87680 88776 88830 90146 90240 90720 91368 92064 92475 94752 95175 95900 96585 97200 97813 98640 98700 100800 101520 103024 103572 105280 106596 108864 109600 110970 112800 113400 114210 115080 115902 118368 118440 120960 121824 122752 123300 126336 126900 128780 129465 129600 131520 131600 133164 133245 135219 135360 136080 138096 142128 143850 147960 148050 150400 151200 152280 153440 154536 155358 155520 157824 157920 159894 160975 162432 164400 166455 169200 170100 172620 173853 177552 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8570562078456 8927668831725 9069377860800 9117619232400 9522846753840 9794928089664 10203050093400 10420136265600 10580940837600 10713202598070 10883253432960 11427416104608 11903558442300 12156825643200 12243660112080 12511769457600 12697129005120 13604066791200 14107921116800 14284270130760 14588190771840 15236554806144 15304575140100 15871411256400 16324880149440 17141124156912 17855337663450 18138755721600 18235238464800 19045693507680 19589856179328 20406100186800 21161881675200 21426405196140 22854832209216 23807116884600 24313651286400 24487320224160 25023538915200 25394258010240 26783006495175 27208133582400 28568540261520 30609150280200 31742822512800 32649760298880 34282248313824 35710675326900 36470476929600 38091387015360 40812200373600 42323763350400 42852810392280 45709664418432 47614233769200 48974640448320 53566012990350 54416267164800 57137080523040 61218300560400 63485645025600 68564496627648 71421350653800 72940953859200 76182774030720 81624400747200 85705620784560 95228467538400 97949280896640 107132025980700 114274161046080 122436601120800 126971290051200 137128993255296 142842701307600 163248801494400 171411241569120 190456935076800 214264051961400 228548322092160 244873202241600 285685402615200 342822483138240 380913870153600 428528103922800 489746404483200 571370805230400 685644966276480 857056207845600 1142741610460800 1714112415691200 3428224831382400
- Sum of all divisors σ(n): 14914702257960960
- Sum of proper divisors (its aliquot sum) s(n): 11486477426578560
- 3428224831382400 is an abundant number, because the sum of its proper divisors (11486477426578560) is greater than itself. Its abundance is 8058252595196160
Bases of 3428224831382400
- Binary: 11000010110111110011110010110100100011100011100000002
- Hexadecimal: 0xC2DF3CB48E380
- Base-36: XR7CQUGO00
Squares and roots of 3428224831382400
- 3428224831382400 squared (34282248313824002) is 11752725494506884911895029760000
- 3428224831382400 cubed (34282248313824003) is 40290985376689499184517221079024629940224000000
-
The
square root of 3428224831382400 is 58551044.6651671621 -
The
cube root of 3428224831382400 is 150784.4069089177
Scales and comparisons
How big is 3428224831382400?- 3,428,224,831,382,400 seconds is equal to 109,006,945 years, 23 weeks.
-
To count from 1 to 3,428,224,831,382,400 would take you about three hundred twenty-seven million, twenty thousand, eight hundred thirty-six 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 3428224831382400 cubic inches would be around 12565.4 feet tall.
Recreational maths with 3428224831382400
- 3428224831382400 backwards is 0042831384228243
- 3428224831382400 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 3428224831382400's digits is 54
- More coming soon!
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"Number 3428224831382400 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 3428224831382400 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/3428224831382400/
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The information we have on file for 3428224831382400 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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