428375305134000
428,375,305,134,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 428375305134000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3840 divisors.
428375305134000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 428375305134000:
24 × 37 × 53 × 72 × 29 × 413
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 29 × 41 × 41 × 41)See below for interesting mathematical facts about the number 428375305134000 from the Numbermatics database.
Names of 428375305134000
- Cardinal: 428375305134000 can be written as Four hundred twenty-eight trillion, three hundred seventy-five billion, three hundred five million, one hundred thirty-four thousand.
Scientific notation
- Scientific notation: 4.28375305134 × 1014
Factors of 428375305134000
Divisors of 428375305134000
- Number of divisors d(n): 3840
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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 29 30 35 36 40 41 42 45 48 49 50 54 56 58 60 63 70 72 75 80 81 82 84 87 90 98 100 105 108 112 116 120 123 125 126 135 140 144 145 147 150 162 164 168 174 175 180 189 196 200 203 205 210 216 225 232 240 243 245 246 250 252 261 270 280 287 290 294 300 315 324 328 336 348 350 360 369 375 378 392 400 405 406 410 420 432 435 441 450 464 486 490 492 500 504 522 525 540 560 567 574 580 588 600 609 615 630 648 656 675 696 700 720 725 729 735 738 750 756 783 784 810 812 820 840 861 870 875 882 900 945 972 980 984 1000 1008 1015 1025 1044 1050 1080 1107 1125 1134 1148 1160 1176 1189 1200 1215 1218 1225 1230 1260 1296 1305 1323 1350 1392 1400 1421 1435 1450 1458 1470 1476 1500 1512 1566 1575 1620 1624 1640 1680 1681 1701 1722 1740 1750 1764 1800 1827 1845 1890 1944 1960 1968 2000 2009 2025 2030 2050 2088 2100 2160 2175 2187 2205 2214 2250 2268 2296 2320 2349 2352 2378 2430 2436 2450 2460 2520 2583 2610 2625 2646 2700 2800 2835 2842 2870 2900 2916 2940 2952 3000 3024 3045 3075 3132 3150 3240 3248 3280 3321 3362 3375 3402 3444 3480 3500 3528 3567 3600 3625 3645 3654 3675 3690 3780 3888 3915 3920 3969 4018 4050 4060 4100 4176 4200 4263 4305 4350 4374 4410 4428 4500 4536 4592 4698 4725 4756 4860 4872 4900 4920 5040 5043 5075 5103 5125 5166 5220 5250 5292 5400 5481 5535 5670 5684 5740 5800 5832 5880 5904 5945 6000 6027 6075 6090 6125 6150 6264 6300 6480 6525 6615 6642 6724 6750 6804 6888 6960 7000 7047 7056 7105 7134 7175 7250 7290 7308 7350 7380 7560 7749 7830 7875 7938 8036 8100 8120 8200 8323 8400 8405 8505 8526 8610 8700 8748 8820 8856 9000 9072 9135 9225 9396 9450 9512 9720 9744 9800 9840 9963 10045 10086 10125 10150 10206 10250 10332 10440 10500 10584 10701 10800 10875 10935 10962 11025 11070 11340 11368 11480 11600 11664 11745 11760 11767 11890 11907 12054 12150 12180 12250 12300 12528 12600 12789 12915 13050 13230 13284 13448 13500 13608 13776 14000 14094 14175 14210 14268 14350 14500 14580 14616 14700 14760 15120 15129 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93287305125 94439000250 95194512252 96742390500 97137257400 97936741000 98477081640 99506458800 100486818000 101994120270 102580293375 104481781740 105511158900 105771680280 106614063000 107930286000 109279414575 109418979600 110178833625 113326800300 116090868600 116564708880 117234621000 117524089200 118172497968 118993140315 120094002000 121421571750 122392944324 123096352050 124383073500 125918667000 126926016336 127416807000 128989854000 130602227175 131888948625 132214600350 135992160360 136773724500 139309042320 140681545200 141658500375 142791768378 145113585750 145705886100 146905111500 147715622460 149259688200 150730227000 151102400400 152991180405 158657520420 161895429000 163190592432 164128469400 165844098000 169990200450 174136302900 174847063320 175851931500 176286133800 180141003000 182132357625 182364966000 184644528075 186574610250 188878000500 190389024504 193484781000 194274514800 195873482000 196954163280 198321900525 203988240540 205160586750 208963563480 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590862489840 594965701575 611964721620 615481760250 634630081680 653011135875 661073001750 679960801800 696545211600 703407726000 713958841890 728529430500 738578112300 746298441000 755512002000 764955902025 793287602100 815952962160 820642347000 849951002250 856750610268 870681514500 874235316600 881430669000 923222640375 951945122520 971372574000 984770816400 991609502625 1019941202700 1044817817400 1055111589000 1057716802800 1070938262835 1092794145750 1133268003000 1142334147024 1160908686000 1189931403150 1223929443240 1230963520500 1274926503375 1306022271750 1322146003500 1359921603600 1427917683780 1457058861000 1477156224600 1492596882000 1529911804050 1586575204200 1641284694000 1699902004500 1713501220536 1741363029000 1748470633200 1762861338000 1784897104725 1846445280750 1903890245040 1983219005250 2039882405400 2089635634800 2110223178000 2141876525670 2185588291500 2266536006000 2379862806300 2447858886480 2461927041000 2549853006750 2612044543500 2644292007000 2855835367560 2914117722000 2954312449200 2974828507875 3059823608100 3173150408400 3399804009000 3427002441072 3482726058000 3569794209450 3692890561500 3824779510125 3966438010500 4079764810800 4283753051340 4371176583000 4759725612600 4923854082000 5099706013500 5224089087000 5288584014000 5354691314175 5711670735120 5949657015750 6119647216200 6799608018000 7139588418900 7385781123000 7649559020250 7932876021000 8567506102680 8742353166000 8924485523625 9519451225200 10199412027000 10448178174000 10709382628350 11899314031500 12239294432400 14279176837800 14771562246000 15299118040500 15865752042000 17135012205360 17848971047250 20398824054000 21418765256700 23798628063000 26773456570875 28558353675600 30598236081000 35697942094500 42837530513400 47597256126000 53546913141750 61196472162000 71395884189000 85675061026800 107093826283500 142791768378000 214187652567000 428375305134000
- Sum of all divisors σ(n): 1916158932979200
- Sum of proper divisors (its aliquot sum) s(n): 1487783627845200
- 428375305134000 is an abundant number, because the sum of its proper divisors (1487783627845200) is greater than itself. Its abundance is 1059408322711200
Bases of 428375305134000
- Binary: 11000010110011010111001011110010010011111101100002
- Hexadecimal: 0x1859AE5E49FB0
- Base-36: 47UGWCCR00
Squares and roots of 428375305134000
- 428375305134000 squared (4283753051340002) is 183505402048647606757956000000
- 428375305134000 cubed (4283753051340003) is 78609182596326767256978241982146104000000000
-
The
square root of 428375305134000 is 20697229.4071936111 -
The
cube root of 428375305134000 is 75383.2416098447
Scales and comparisons
How big is 428375305134000?- 428,375,305,134,000 seconds is equal to 13,621,009 years, 33 weeks, 6 days, 3 hours.
-
To count from 1 to 428,375,305,134,000 would take you about thirty-four million, fifty-two thousand, five hundred twenty-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 428375305134000 cubic inches would be around 6281.9 feet tall.
Recreational maths with 428375305134000
- 428375305134000 backwards is 000431503573824
- 428375305134000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428375305134000's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 428375305134000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 428375305134000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/428375305134000/
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Numbermatics. 2024. "Number 428375305134000 - Facts about the integer". https://numbermatics.com/n/428375305134000/
The information we have on file for 428375305134000 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 428375305134000, math, Factors of 428375305134000, curriculum, school, college, exams, university, Prime factorization of 428375305134000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, three hundred seventy-five billion, three hundred five million, one hundred thirty-four thousand.