428484441312000
428,484,441,312,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 428484441312000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3456 divisors.
428484441312000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 428484441312000:
28 × 32 × 53 × 17 × 31 × 37 × 41 × 1861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 31 × 37 × 41 × 1861)See below for interesting mathematical facts about the number 428484441312000 from the Numbermatics database.
Names of 428484441312000
- Cardinal: 428484441312000 can be written as Four hundred twenty-eight trillion, four hundred eighty-four billion, four hundred forty-one million, three hundred twelve thousand.
Scientific notation
- Scientific notation: 4.28484441312 × 1014
Factors of 428484441312000
Divisors of 428484441312000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 31 32 34 36 37 40 41 45 48 50 51 60 62 64 68 72 74 75 80 82 85 90 93 96 100 102 111 120 123 124 125 128 136 144 148 150 153 155 160 164 170 180 185 186 192 200 204 205 222 225 240 246 248 250 255 256 272 279 288 296 300 306 310 320 328 333 340 360 369 370 372 375 384 400 408 410 425 444 450 465 480 492 496 500 510 527 544 555 558 576 592 600 612 615 620 629 640 656 666 680 697 720 738 740 744 750 765 768 775 800 816 820 850 888 900 925 930 960 984 992 1000 1020 1025 1054 1088 1110 1116 1125 1147 1152 1184 1200 1224 1230 1240 1258 1271 1275 1280 1312 1332 1360 1394 1395 1440 1476 1480 1488 1500 1517 1530 1550 1581 1600 1632 1640 1665 1700 1776 1800 1845 1850 1860 1861 1887 1920 1968 1984 2000 2040 2050 2091 2108 2125 2176 2220 2232 2250 2294 2304 2325 2368 2400 2448 2460 2480 2516 2542 2550 2624 2635 2664 2720 2775 2788 2790 2880 2952 2960 2976 3000 3034 3060 3075 3100 3145 3162 3200 3264 3280 3330 3400 3441 3485 3552 3600 3690 3700 3720 3722 3774 3813 3825 3840 3875 3936 3968 4000 4080 4100 4182 4216 4250 4352 4440 4464 4500 4551 4588 4625 4650 4736 4743 4800 4896 4920 4960 5032 5084 5100 5125 5248 5270 5328 5440 5550 5576 5580 5583 5661 5735 5760 5904 5920 5952 6000 6068 6120 6150 6200 6273 6290 6324 6355 6375 6400 6528 6560 6660 6800 6882 6970 6975 7104 7200 7380 7400 7440 7444 7548 7585 7626 7650 7750 7872 7905 7936 8000 8160 8200 8325 8364 8432 8500 8880 8928 9000 9102 9176 9225 9250 9300 9305 9435 9472 9486 9600 9792 9840 9920 10064 10168 10200 10250 10323 10455 10496 10540 10656 10880 11100 11152 11160 11166 11322 11439 11470 11520 11625 11808 11840 11904 12000 12136 12240 12300 12400 12546 12580 12648 12710 12750 13056 13120 13175 13320 13600 13653 13764 13875 13940 13950 14208 14400 14760 14800 14880 14888 15096 15170 15252 15300 15375 15500 15725 15744 15810 16000 16320 16400 16650 16728 16749 16864 17000 17205 17425 17760 17856 18000 18204 18352 18450 18500 18600 18610 18870 18972 19065 19125 19200 19499 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767893264000 772044038400 787655223000 813063456000 840165571200 856968882624 863879922000 870903336000 892675919400 921471916800 952187647360 965055048000 1008198685440 1045084003200 1050206964000 1071211103280 1115844899250 1142625176832 1151839896000 1158066057600 1161204448000 1190234559200 1260248356800 1286740064000 1306355004000 1339013879100 1382207875200 1400275952000 1428281471040 1447582572000 1487793199000 1535786528000 1575310446000 1673767348875 1680331142400 1713937765248 1727759844000 1741806672000 1785351838800 1904375294720 1930110096000 2090168006400 2100413928000 2142422206560 2231689798500 2303679792000 2316132115200 2380469118400 2520496713600 2612710008000 2678027758200 2764415750400 2800551904000 2856562942080 2895165144000 2975586398000 3150620892000 3347534697750 3427875530496 3455519688000 3483613344000 3570703677600 3860220192000 4200827856000 4284844413120 4463379597000 4607359584000 4760938236800 5040993427200 5225420016000 5356055516400 5713125884160 5790330288000 5951172796000 6301241784000 6695069395500 6911039376000 7141407355200 8401655712000 8569688826240 8926759194000 9521876473600 10450840032000 10712111032800 11580660576000 11902345592000 12602483568000 13390138791000 13822078752000 14282814710400 17139377652480 17853518388000 21424222065600 23804691184000 25204967136000 26780277582000 28565629420800 35707036776000 42848444131200 47609382368000 53560555164000 71414073552000 85696888262400 107121110328000 142828147104000 214242220656000 428484441312000
- Sum of all divisors σ(n): 1773878614050816
- Sum of proper divisors (its aliquot sum) s(n): 1345394172738816
- 428484441312000 is an abundant number, because the sum of its proper divisors (1345394172738816) is greater than itself. Its abundance is 916909731426816
Bases of 428484441312000
- Binary: 11000010110110100010011101110101010001011000000002
- Hexadecimal: 0x185B44EEA8B00
- Base-36: 47VV197SW0
Squares and roots of 428484441312000
- 428484441312000 squared (4284844413120002) is 183598916446456772281344000000
- 428484441312000 cubed (4284844413120003) is 78669279139048598432930491520483328000000000
-
The
square root of 428484441312000 is 20699865.7317384549 -
The
cube root of 428484441312000 is 75389.6428038549
Scales and comparisons
How big is 428484441312000?- 428,484,441,312,000 seconds is equal to 13,624,479 years, 43 weeks, 6 days, 8 hours.
-
To count from 1 to 428,484,441,312,000 would take you about thirty-four million, sixty-one thousand, one hundred ninety-nine 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 428484441312000 cubic inches would be around 6282.5 feet tall.
Recreational maths with 428484441312000
- 428484441312000 backwards is 000213144484824
- 428484441312000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428484441312000's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 428484441312000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 428484441312000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/428484441312000/
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Numbermatics. 2024. "Number 428484441312000 - Facts about the integer". https://numbermatics.com/n/428484441312000/
The information we have on file for 428484441312000 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 428484441312000, math, Factors of 428484441312000, curriculum, school, college, exams, university, Prime factorization of 428484441312000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, four hundred eighty-four billion, four hundred forty-one million, three hundred twelve thousand.