428648227191296000
428,648,227,191,296,000 is an even composite number composed of five prime numbers multiplied together.
428648227191296000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, one hundred twenty divisors.
Prime factorization of 428648227191296000:
212 × 53 × 74 × 17 × 295
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 17 × 29 × 29 × 29 × 29 × 29)See below for interesting mathematical facts about the number 428648227191296000 from the Numbermatics database.
Names of 428648227191296000
- Cardinal: 428648227191296000 can be written as Four hundred twenty-eight quadrillion, six hundred forty-eight trillion, two hundred twenty-seven billion, one hundred ninety-one million, two hundred ninety-six thousand.
Scientific notation
- Scientific notation: 4.28648227191296 × 1017
Factors of 428648227191296000
Divisors of 428648227191296000
- Number of divisors d(n): 3120
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 29 32 34 35 40 49 50 56 58 64 68 70 80 85 98 100 112 116 119 125 128 136 140 145 160 170 175 196 200 203 224 232 238 245 250 256 272 280 290 320 340 343 350 392 400 406 425 448 464 476 490 493 500 512 544 560 580 595 640 680 686 700 725 784 800 812 833 841 850 875 896 928 952 980 986 1000 1015 1024 1088 1120 1160 1190 1225 1280 1360 1372 1400 1421 1450 1568 1600 1624 1666 1682 1700 1715 1750 1792 1856 1904 1960 1972 2000 2030 2048 2125 2176 2240 2320 2380 2401 2450 2465 2560 2720 2744 2800 2842 2900 2975 3136 3200 3248 3332 3364 3400 3430 3451 3500 3584 3625 3712 3808 3920 3944 4000 4060 4096 4165 4205 4250 4352 4480 4640 4760 4802 4900 4930 5075 5120 5440 5488 5600 5684 5800 5831 5887 5950 6125 6272 6400 6496 6664 6728 6800 6860 6902 7000 7105 7168 7250 7424 7616 7840 7888 8000 8120 8330 8410 8500 8575 8704 8960 9280 9520 9604 9800 9860 9947 10150 10240 10880 10976 11200 11368 11600 11662 11774 11900 12005 12250 12325 12544 12800 12992 13328 13456 13600 13720 13804 14000 14210 14297 14336 14500 14848 14875 15232 15680 15776 16000 16240 16660 16820 17000 17150 17255 17408 17920 18560 19040 19208 19600 19720 19894 20300 20480 20825 21025 21760 21952 22400 22736 23200 23324 23548 23800 24010 24157 24389 24500 24650 25088 25375 25600 25984 26656 26912 27200 27440 27608 28000 28420 28594 28672 29000 29155 29435 29696 29750 30464 31360 31552 32000 32480 33320 33640 34000 34300 34510 34816 35525 35840 37120 38080 38416 39200 39440 39788 40600 40817 41209 41650 42050 42875 43520 43904 44800 45472 46400 46648 47096 47600 48020 48314 48778 49000 49300 49735 50176 50750 51200 51968 53312 53824 54400 54880 55216 56000 56840 57188 58000 58310 58870 59392 59500 60025 60928 61625 62720 63104 64000 64960 66640 67280 68000 68600 69020 69629 69632 71050 71485 71680 74240 76160 76832 78400 78880 79576 81200 81634 82418 83300 84100 85750 86275 87040 87808 89600 90944 92800 93296 94192 95200 96040 96628 97556 98000 98600 99470 100079 100352 101500 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128645926528000 131972976352000 133952570997280 136686296936000 144083437711360 147809733514240 150826258688000 153088652568320 156212910784000 157591259996800 167440713746600 173893804134400 174958460078080 178529040896000 180104297139200 184762166892800 191360815710400 196989074996000 201716812795904 209300892183250 211156762163200 214324113595648 217367255168000 218698075097600 225130371424000 230952708616000 239201019638000 244941844109312 249940657254400 252146015994880 254844368128000 257291853056000 263945952704000 267905141994560 273372593872000 295619467028480 301652517376000 306177305136640 312425821568000 315182519993600 334881427493200 349916920156160 360208594278400 369524333785600 382721631420800 393978149992000 418601784366500 422313524326400 428648227191296 434734510336000 437396150195200 450260742848000 461905417232000 478402039276000 489883688218624 504292031989760 509688736256000 514583706112000 527891905408000 535810283989120 546745187744000 591238934056960 612354610273280 624851643136000 630365039987200 669762854986400 720417188556800 739048667571200 765443262841600 787956299984000 837203568733000 857296454382592 869469020672000 874792300390400 900521485696000 923810834464000 956804078552000 1008584063979520 1055783810816000 1071620567978240 1093490375488000 1224709220546560 1249703286272000 1260730079974400 1339525709972800 1478097335142400 1530886525683200 1575912599968000 1674407137466000 1714592908765184 1749584600780800 1801042971392000 1847621668928000 1913608157104000 2111567621632000 2143241135956480 2186980750976000 2449418441093120 2521460159948800 2679051419945600 2956194670284800 3061773051366400 3151825199936000 3348814274932000 3429185817530368 3602085942784000 3695243337856000 3827216314208000 4286482271912960 4373961501952000 5042920319897600 5358102839891200 6123546102732800 6303650399872000 6697628549864000 7390486675712000 7654432628416000 8572964543825920 8747923003904000 10716205679782400 12247092205465600 12607300799744000 13395257099728000 14780973351424000 15308865256832000 17145929087651840 21432411359564800 25214601599488000 26790514199456000 30617730513664000 42864822719129600 53581028398912000 61235461027328000 85729645438259200 107162056797824000 214324113595648000 428648227191296000
- Sum of all divisors σ(n): 1368601758042826320
- Sum of proper divisors (its aliquot sum) s(n): 939953530851530320
- 428648227191296000 is an abundant number, because the sum of its proper divisors (939953530851530320) is greater than itself. Its abundance is 511305303660234320
Bases of 428648227191296000
- Binary: 101111100101101110101001010101000110101011010010000000000002
- Hexadecimal: 0x5F2DD4AA3569000
- Base-36: 398N4530FWU8
Squares and roots of 428648227191296000
- 428648227191296000 squared (4286482271912960002) is 183739302674240911500978159616000000
- 428648227191296000 cubed (4286482271912960003) is 78759526356678318930129786291612518853902336000000000
-
The
square root of 428648227191296000 is 654712323.9952765697 -
The
cube root of 428648227191296000 is 753992.4734238823
Scales and comparisons
How big is 428648227191296000?- 428,648,227,191,296,000 seconds is equal to 13,629,687,728 years, 34 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 428,648,227,191,296,000 would take you about forty billion, eight hundred eighty-nine million, sixty-three thousand, one hundred eighty-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 428648227191296000 cubic inches would be around 62832.7 feet tall.
Recreational maths with 428648227191296000
- 428648227191296000 backwards is 000692191722846824
- The number of decimal digits it has is: 18
- The sum of 428648227191296000's digits is 71
- More coming soon!
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Cite this page
MLA style:
"Number 428648227191296000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 428648227191296000 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/428648227191296000/
Chicago style:
Numbermatics. 2024. "Number 428648227191296000 - Facts about the integer". https://numbermatics.com/n/428648227191296000/
The information we have on file for 428648227191296000 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 428648227191296000, math, Factors of 428648227191296000, curriculum, school, college, exams, university, Prime factorization of 428648227191296000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight quadrillion, six hundred forty-eight trillion, two hundred twenty-seven billion, one hundred ninety-one million, two hundred ninety-six thousand.