428521743104000
428,521,743,104,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 428521743104000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2304 divisors.
428521743104000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 428521743104000:
211 × 53 × 73 × 132 × 67 × 431
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 67 × 431)See below for interesting mathematical facts about the number 428521743104000 from the Numbermatics database.
Names of 428521743104000
- Cardinal: 428521743104000 can be written as Four hundred twenty-eight trillion, five hundred twenty-one billion, seven hundred forty-three million, one hundred four thousand.
Scientific notation
- Scientific notation: 4.28521743104 × 1014
Factors of 428521743104000
Divisors of 428521743104000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 64 65 67 70 80 91 98 100 104 112 125 128 130 134 140 160 169 175 182 196 200 208 224 245 250 256 260 268 280 320 325 335 338 343 350 364 392 400 416 431 448 455 469 490 500 512 520 536 560 637 640 650 670 676 686 700 728 784 800 832 845 862 871 875 896 910 938 980 1000 1024 1040 1072 1120 1183 1225 1274 1280 1300 1340 1352 1372 1400 1456 1568 1600 1625 1664 1675 1690 1715 1724 1742 1750 1792 1820 1876 1960 2000 2048 2080 2144 2155 2240 2275 2345 2366 2450 2548 2560 2600 2680 2704 2744 2800 2912 3017 3136 3185 3200 3250 3283 3328 3350 3380 3430 3448 3484 3500 3584 3640 3752 3920 4000 4160 4225 4288 4310 4355 4459 4480 4550 4690 4732 4900 5096 5120 5200 5360 5408 5488 5600 5603 5824 5915 6034 6097 6125 6272 6370 6400 6500 6566 6656 6700 6760 6860 6896 6968 7000 7168 7280 7504 7840 8000 8281 8320 8375 8450 8575 8576 8620 8710 8918 8960 9100 9380 9464 9800 10192 10240 10400 10720 10775 10816 10976 11200 11206 11323 11375 11648 11725 11830 12068 12194 12250 12544 12740 12800 13000 13132 13312 13400 13520 13720 13792 13936 14000 14336 14560 15008 15085 15680 15925 16000 16415 16562 16640 16750 16900 17150 17152 17240 17420 17836 17920 18200 18760 18928 19600 20384 20800 21119 21125 21440 21550 21632 21775 21952 22295 22400 22412 22646 22750 22981 23296 23450 23660 24136 24388 24500 25088 25480 25600 26000 26264 26624 26800 27040 27440 27584 27872 28000 28015 28877 29120 29575 30016 30170 30485 31360 31850 32000 32830 33124 33280 33500 33800 34300 34304 34480 34840 35672 35840 36400 37520 37856 39200 39221 40768 41405 41600 42238 42250 42679 42875 42880 43100 43264 43550 43904 44590 44800 44824 45292 45500 45962 46592 46900 47320 48272 48776 49000 50176 50960 51200 52000 52528 53600 53875 54080 54880 55168 55744 56000 56030 56615 57754 57967 58240 58625 59150 60032 60340 60970 62720 63700 64000 65660 66248 66560 67000 67600 68600 68608 68960 69680 71344 71680 72800 72839 75040 75425 75712 78400 78442 79261 79625 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6592642201600 6695652236000 7652173984000 8240802752000 8570434862080 8745341696000 10713043577600 12243478374400 13391304472000 15304347968000 16481605504000 17140869724160 21426087155200 26782608944000 30608695936000 32963211008000 42852174310400 53565217888000 61217391872000 85704348620800 107130435776000 214260871552000 428521743104000
- Sum of all divisors σ(n): 1373669466624000
- Sum of proper divisors (its aliquot sum) s(n): 945147723520000
- 428521743104000 is an abundant number, because the sum of its proper divisors (945147723520000) is greater than itself. Its abundance is 516625980416000
Bases of 428521743104000
- Binary: 11000010110111100111111100100011010111000000000002
- Hexadecimal: 0x185BCFE46B800
- Base-36: 47WC65QNSW
Squares and roots of 428521743104000
- 428521743104000 squared (4285217431040002) is 183630884312890571554816000000
- 428521743104000 cubed (4285217431040003) is 78689826633488837059476591805988864000000000
-
The
square root of 428521743104000 is 20700766.7274427303 -
The
cube root of 428521743104000 is 75391.8304267907
Scales and comparisons
How big is 428521743104000?- 428,521,743,104,000 seconds is equal to 13,625,665 years, 48 weeks, 1 day, 53 minutes, 20 seconds.
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To count from 1 to 428,521,743,104,000 would take you about thirty-four million, sixty-four thousand, one hundred sixty-four 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 428521743104000 cubic inches would be around 6282.7 feet tall.
Recreational maths with 428521743104000
- 428521743104000 backwards is 000401347125824
- The number of decimal digits it has is: 15
- The sum of 428521743104000's digits is 41
- More coming soon!
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The information we have on file for 428521743104000 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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