428871131136000
428,871,131,136,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 428871131136000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2176 divisors.
428871131136000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred seventy-six divisors.
Prime factorization of 428871131136000:
216 × 33 × 53 × 73 × 5653
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 5653)See below for interesting mathematical facts about the number 428871131136000 from the Numbermatics database.
Names of 428871131136000
- Cardinal: 428871131136000 can be written as Four hundred twenty-eight trillion, eight hundred seventy-one billion, one hundred thirty-one million, one hundred thirty-six thousand.
Scientific notation
- Scientific notation: 4.28871131136 × 1014
Factors of 428871131136000
Divisors of 428871131136000
- Number of divisors d(n): 2176
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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 48 49 50 54 56 60 63 64 70 72 75 80 84 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 160 168 175 180 189 192 196 200 210 216 224 225 240 245 250 252 256 270 280 288 294 300 315 320 336 343 350 360 375 378 384 392 400 420 432 441 448 450 480 490 500 504 512 525 540 560 576 588 600 630 640 672 675 686 700 720 735 750 756 768 784 800 840 864 875 882 896 900 945 960 980 1000 1008 1024 1029 1050 1080 1120 1125 1152 1176 1200 1225 1260 1280 1323 1344 1350 1372 1400 1440 1470 1500 1512 1536 1568 1575 1600 1680 1715 1728 1750 1764 1792 1800 1890 1920 1960 2000 2016 2048 2058 2100 2160 2205 2240 2250 2304 2352 2400 2450 2520 2560 2625 2646 2688 2700 2744 2800 2880 2940 3000 3024 3072 3087 3136 3150 3200 3360 3375 3430 3456 3500 3528 3584 3600 3675 3780 3840 3920 4000 4032 4096 4116 4200 4320 4410 4480 4500 4608 4704 4725 4800 4900 5040 5120 5145 5250 5292 5376 5400 5488 5600 5653 5760 5880 6000 6048 6125 6144 6174 6272 6300 6400 6615 6720 6750 6860 6912 7000 7056 7168 7200 7350 7560 7680 7840 7875 8000 8064 8192 8232 8400 8575 8640 8820 8960 9000 9216 9261 9408 9450 9600 9800 10080 10240 10290 10500 10584 10752 10800 10976 11025 11200 11306 11520 11760 12000 12096 12250 12288 12348 12544 12600 12800 13230 13440 13500 13720 13824 14000 14112 14336 14400 14700 15120 15360 15435 15680 15750 16000 16128 16384 16464 16800 16959 17150 17280 17640 17920 18000 18375 18432 18522 18816 18900 19200 19600 20160 20480 20580 21000 21168 21504 21600 21952 22050 22400 22612 23040 23520 23625 24000 24192 24500 24576 24696 25088 25200 25600 25725 26460 26880 27000 27440 27648 28000 28224 28265 28672 28800 29400 30240 30720 30870 31360 31500 32000 32256 32768 32928 33075 33600 33918 34300 34560 35280 35840 36000 36750 36864 37044 37632 37800 38400 39200 39571 40320 40960 41160 42000 42336 42875 43008 43200 43904 44100 44800 45224 46080 46305 47040 47250 48000 48384 49000 49152 49392 50176 50400 50877 51200 51450 52920 53760 54000 54880 55125 55296 56000 56448 56530 57344 57600 58800 60480 61440 61740 62720 63000 64000 64512 65536 65856 66150 67200 67836 68600 69120 70560 71680 72000 73500 73728 74088 75264 75600 76800 77175 78400 79142 80640 81920 82320 84000 84672 84795 85750 86016 86400 87808 88200 89600 90448 92160 92610 94080 94500 96000 96768 98000 98304 98784 100352 100800 101754 102400 102900 105840 107520 108000 109760 110250 110592 112000 112896 113060 114688 115200 117600 118713 120960 122880 123480 125440 126000 128000 128625 129024 131712 132300 134400 135672 137200 138240 141120 141325 143360 144000 147000 147456 148176 150528 151200 152631 153600 154350 156800 158284 161280 163840 164640 165375 168000 169344 169590 171500 172032 172800 175616 176400 179200 180896 184320 185220 188160 189000 192000 193536 196000 196608 197568 197855 200704 201600 203508 204800 205800 211680 215040 216000 219520 220500 221184 224000 225792 226120 229376 230400 231525 235200 237426 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238261739520 239325408000 243124224000 245069217792 248189312000 250070630400 255280435200 268044456960 272299130880 273514752000 279212976000 283644928000 285914087424 291749068800 297827174400 306336522240 312588288000 317682319360 319100544000 324165632000 335055571200 340373913600 350098882560 357392609280 364686336000 372283968000 381218783232 382920652800 397102899200 408448696320 416784384000 418819464000 425467392000 428871131136 437623603200 446740761600 453831884800 476523479040 478650816000 486248448000 490138435584 496378624000 510560870400 536088913920 547029504000 558425952000 567289856000 571828174848 583498137600 595654348800 612673044480 625176576000 635364638720 638201088000 670111142400 680747827200 714785218560 729372672000 744567936000 765841305600 794205798400 816897392640 837638928000 850934784000 857742262272 875247206400 893481523200 953046958080 957301632000 972496896000 992757248000 1021121740800 1072177827840 1094059008000 1116851904000 1134579712000 1143656349696 1191308697600 1225346088960 1250353152000 1276402176000 1340222284800 1361495654400 1429570437120 1458745344000 1489135872000 1531682611200 1588411596800 1675277856000 1701869568000 1715484524544 1750494412800 1786963046400 1906093916160 1914603264000 1985514496000 2042243481600 2144355655680 2188118016000 2233703808000 2269159424000 2382617395200 2450692177920 2552804352000 2680444569600 2859140874240 2917490688000 2978271744000 3063365222400 3176823193600 3350555712000 3403739136000 3430969049088 3573926092800 3829206528000 3971028992000 4084486963200 4288711311360 4376236032000 4467407616000 4765234790400 5105608704000 5360889139200 5718281748480 5956543488000 6126730444800 6701111424000 6807478272000 7147852185600 7658413056000 7942057984000 8577422622720 8752472064000 8934815232000 9530469580800 10211217408000 10721778278400 11913086976000 12253460889600 13402222848000 14295704371200 15316826112000 15884115968000 17154845245440 17869630464000 20422434816000 21443556556800 23826173952000 26804445696000 28591408742400 30633652224000 35739260928000 42887113113600 47652347904000 53608891392000 61267304448000 71478521856000 85774226227200 107217782784000 142957043712000 214435565568000 428871131136000
- Sum of all divisors σ(n): 1849724283264000
- Sum of proper divisors (its aliquot sum) s(n): 1420853152128000
- 428871131136000 is an abundant number, because the sum of its proper divisors (1420853152128000) is greater than itself. Its abundance is 991982020992000
Bases of 428871131136000
- Binary: 11000011000001110010101110110110100000000000000002
- Hexadecimal: 0x1860E576D0000
- Base-36: 480SOECQO0
Squares and roots of 428871131136000
- 428871131136000 squared (4288711311360002) is 183930447121872108650496000000
- 428871131136000 cubed (4288711311360003) is 78882458907507526882867710007443456000000000
-
The
square root of 428871131136000 is 20709204.0198555193 -
The
cube root of 428871131136000 is 75412.3146830567
Scales and comparisons
How big is 428871131136000?- 428,871,131,136,000 seconds is equal to 13,636,775 years, 20 weeks.
-
To count from 1 to 428,871,131,136,000 would take you about thirty-four million, ninety-one thousand, nine 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 428871131136000 cubic inches would be around 6284.4 feet tall.
Recreational maths with 428871131136000
- 428871131136000 backwards is 000631131178824
- 428871131136000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428871131136000's digits is 45
- More coming soon!
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The information we have on file for 428871131136000 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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