428728756503250000
428,728,756,503,250,000 is an even composite number composed of six prime numbers multiplied together.
428728756503250000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred divisors.
Prime factorization of 428728756503250000:
24 × 56 × 72 × 29 × 434 × 353
(2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 29 × 43 × 43 × 43 × 43 × 353)See below for interesting mathematical facts about the number 428728756503250000 from the Numbermatics database.
Names of 428728756503250000
- Cardinal: 428728756503250000 can be written as Four hundred twenty-eight quadrillion, seven hundred twenty-eight trillion, seven hundred fifty-six billion, five hundred three million, two hundred fifty thousand.
Scientific notation
- Scientific notation: 4.2872875650325 × 1017
Factors of 428728756503250000
Divisors of 428728756503250000
- Number of divisors d(n): 2100
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 29 35 40 43 49 50 56 58 70 80 86 98 100 112 116 125 140 145 172 175 196 200 203 215 232 245 250 280 290 301 344 350 353 392 400 406 430 464 490 500 560 580 602 625 688 700 706 725 784 812 860 875 980 1000 1015 1075 1160 1204 1225 1247 1250 1400 1412 1421 1450 1505 1624 1720 1750 1765 1849 1960 2000 2030 2107 2150 2320 2408 2450 2471 2494 2500 2800 2824 2842 2900 3010 3125 3248 3440 3500 3530 3625 3698 3920 4060 4214 4300 4375 4816 4900 4942 4988 5000 5075 5375 5648 5684 5800 6020 6125 6235 6250 7000 7060 7105 7250 7396 7525 8120 8428 8600 8729 8750 8825 9245 9800 9884 9976 10000 10150 10237 10535 10750 11368 11600 12040 12250 12355 12470 12500 12943 14000 14120 14210 14500 14792 15050 15179 15625 16240 16856 17200 17297 17458 17500 17650 18125 18490 19600 19768 19952 20300 20474 21070 21500 21875 22736 24080 24500 24710 24940 25000 25375 25886 26875 28240 28420 29000 29584 30100 30358 30625 31175 31250 33712 34594 34916 35000 35300 35525 36250 36980 37625 39536 40600 40948 42140 43000 43645 43750 44125 46225 49000 49420 49880 50000 50750 51185 51772 52675 53621 53750 56840 58000 60200 60716 61103 61250 61775 62350 62500 64715 69188 69832 70000 70600 71050 71659 72500 73960 75250 75895 79507 81200 81896 84280 86000 86485 87290 87500 88250 90601 90625 92450 98000 98840 99760 101500 102370 103544 105350 106253 107242 107500 109375 113680 120400 121432 122206 122500 123550 124700 125000 126875 129430 134375 138376 139664 141200 142100 143318 145000 147920 150500 151790 153125 155875 159014 163792 168560 172970 174580 175000 176500 177625 181202 181250 184900 188125 197680 203000 204740 207088 210700 212506 214484 215000 218225 218750 220625 231125 242864 244412 245000 247100 249400 250000 253750 255925 258860 263375 268105 268750 276752 284200 286636 290000 301000 303580 305515 306250 308875 311750 318028 323575 345940 349160 350000 353000 355250 358295 362404 362500 369800 375347 376250 379475 397535 406000 409480 421400 425012 428968 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124630452471875 131997769859375 137193202081040 142434802825000 147837502242500 150854594125000 151816131906250 153117413036875 171491502601300 171904072375000 173504150750000 174991329185000 178043503531250 184796877803125 199408723955000 203478289750000 211196431775000 214364378251625 218739161481250 231870609250000 242905811050000 244987860859000 249260904943750 263995539718750 284869605650000 295675004485000 301709188250000 303632263812500 306234826073750 342983005202600 343808144750000 349982658370000 356087007062500 369593755606250 398817447910000 422392863550000 428728756503250 437478322962500 489975721718000 498521809887500 527991079437500 546847903703125 591350008970000 607264527625000 612469652147500 623152262359375 685966010405200 712174014125000 739187511212500 765587065184375 857457513006500 874956645925000 923984389015625 997043619775000 1055982158875000 1071821891258125 1093695807406250 1214529055250000 1224939304295000 1246304524718750 1424348028250000 1478375022425000 1531174130368750 1714915026013000 1749913291850000 1847968778031250 1994087239550000 2111964317750000 2143643782516250 2187391614812500 2449878608590000 2492609049437500 2956750044850000 3062348260737500 3429830052026000 3695937556062500 3827935325921875 4287287565032500 4374783229625000 4985218098875000 5359109456290625 6124696521475000 7391875112125000 7655870651843750 8574575130065000 8749566459250000 9970436197750000 10718218912581250 12249393042950000 14783750224250000 15311741303687500 17149150260130000 21436437825162500 26795547281453125 30623482607375000 42872875650325000 53591094562906250 61246965214750000 85745751300650000 107182189125812500 214364378251625000 428728756503250000
- Sum of all divisors σ(n): 1282857834552109740
- Sum of proper divisors (its aliquot sum) s(n): 854129078048859740
- 428728756503250000 is an abundant number, because the sum of its proper divisors (854129078048859740) is greater than itself. Its abundance is 425400321545609740
Bases of 428728756503250000
- Binary: 101111100110010011010001000010101000101111100000100010100002
- Hexadecimal: 0x5F32688545F0450
- Base-36: 399FNRQLKO5S
Squares and roots of 428728756503250000
- 428728756503250000 squared (4287287565032500002) is 183808346652823029167260562500000000
- 428728756503250000 cubed (4287287565032500003) is 78803923895383131636064526316909128078125000000000000
-
The
square root of 428728756503250000 is 654773820.8750026071 -
The
cube root of 428728756503250000 is 754039.6875023841
Scales and comparisons
How big is 428728756503250000?- 428,728,756,503,250,000 seconds is equal to 13,632,248,311 years, 35 weeks, 5 days, 6 hours, 46 minutes, 40 seconds.
-
To count from 1 to 428,728,756,503,250,000 would take you about forty billion, eight hundred ninety-six million, seven hundred forty-four thousand, nine hundred thirty-five 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 428728756503250000 cubic inches would be around 62836.6 feet tall.
Recreational maths with 428728756503250000
- 428728756503250000 backwards is 000052305657827824
- The number of decimal digits it has is: 18
- The sum of 428728756503250000's digits is 64
- More coming soon!
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Cite this page
MLA style:
"Number 428728756503250000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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Numbermatics. (2024). Number 428728756503250000 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/428728756503250000/
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The information we have on file for 428728756503250000 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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