428985633331101728000
428,985,633,331,101,728,000 is an even composite number composed of four prime numbers multiplied together.
428985633331101728000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, nine hundred eighty divisors.
Prime factorization of 428985633331101728000:
28 × 53 × 710 × 834
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 83 × 83 × 83 × 83)See below for interesting mathematical facts about the number 428985633331101728000 from the Numbermatics database.
Names of 428985633331101728000
- Cardinal: 428985633331101728000 can be written as Four hundred twenty-eight quintillion, nine hundred eighty-five quadrillion, six hundred thirty-three trillion, three hundred thirty-one billion, one hundred one million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.28985633331101728 × 1020
Factors of 428985633331101728000
Divisors of 428985633331101728000
- Number of divisors d(n): 1980
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 83 98 100 112 125 128 140 160 166 175 196 200 224 245 250 256 280 320 332 343 350 392 400 415 448 490 500 560 581 640 664 686 700 784 800 830 875 896 980 1000 1120 1162 1225 1280 1328 1372 1400 1568 1600 1660 1715 1750 1792 1960 2000 2075 2240 2324 2401 2450 2656 2744 2800 2905 3136 3200 3320 3430 3500 3920 4000 4067 4150 4480 4648 4802 4900 5312 5488 5600 5810 6125 6272 6400 6640 6860 6889 7000 7840 8000 8134 8300 8575 8960 9296 9604 9800 10375 10624 10976 11200 11620 12005 12250 12544 13280 13720 13778 14000 14525 15680 16000 16268 16600 16807 17150 18592 19208 19600 20335 20750 21248 21952 22400 23240 24010 24500 26560 27440 27556 28000 28469 29050 31360 32000 32536 33200 33614 34300 34445 37184 38416 39200 40670 41500 42875 43904 44800 46480 48020 48223 49000 53120 54880 55112 56000 56938 58100 60025 62720 65072 66400 67228 68600 68890 72625 74368 76832 78400 81340 83000 84035 85750 87808 92960 96040 96446 98000 101675 106240 109760 110224 112000 113876 116200 117649 120050 130144 132800 134456 137200 137780 142345 145250 148736 153664 156800 162680 166000 168070 171500 172225 185920 192080 192892 196000 199283 203350 219520 220448 224000 227752 232400 235298 240100 241115 260288 265600 268912 274400 275560 284690 290500 300125 307328 313600 325360 332000 336140 337561 343000 344450 371840 384160 385784 392000 398566 406700 420175 439040 440896 455504 464800 470596 480200 482230 508375 520576 531200 537824 548800 551120 569380 571787 581000 588245 600250 614656 650720 664000 672280 675122 686000 688900 711725 743680 768320 771568 784000 797132 813400 823543 840350 861125 881792 911008 929600 941192 960400 964460 996415 1016750 1041152 1075648 1097600 1102240 1138760 1143574 1162000 1176490 1200500 1205575 1301440 1328000 1344560 1350244 1372000 1377800 1394981 1423450 1536640 1543136 1568000 1594264 1626800 1647086 1680700 1687805 1722250 1763584 1822016 1859200 1882384 1920800 1928920 1992830 2033500 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6227110369155200 6253434888208480 6381056008376000 6460627007998520 6592476538774000 6839694408978025 7146782729381120 7383573723426880 7534258901456000 7660457738055388 7783887961444000 7816793610260600 8075783759998150 8754808843491872 8895871955936000 8933478411726400 9229467154283600 9575572172569235 9770992012825750 10005495821133568 10337003212797632 10547962462038400 10943511054364840 11166848014658000 11536833942854500 12454220738310400 12506869776416960 12762112016752000 12921254015997040 13184953077548000 13405801041596929 13679388817956050 14767147446853760 15068517802912000 15320915476110776 15567775922888000 15633587220521200 16151567519996300 17509617686983744 17866956823452800 18458934308567200 19151144345138470 19541984025651500 20189459399995375 20674006425595264 21095924924076800 21887022108729680 22333696029316000 23073667885709000 25013739552833920 25524224033504000 25842508031994080 26369906155096000 26811602083193858 27358777635912100 29534294893707520 30641830952221552 31135551845776000 31267174441042400 32303135039992600 34198472044890125 35019235373967488 35733913646905600 36917868617134400 38302288690276940 39083968051303000 40378918799990750 41348012851190528 43774044217459360 44667392058632000 46147335771418000 47877860862846175 50027479105667840 51685016063988160 52739812310192000 53623204166387716 54717555271824200 61283661904443104 62271103691552000 62534348882084800 64606270079985200 67029005207984645 68396944089780250 70038470747934976 73835737234268800 76604577380553880 78167936102606000 80757837599981500 87548088434918720 89334784117264000 92294671542836000 95755721725692350 103370032127976320 105479624620384000 107246408332775432 109435110543648400 122567323808886208 125068697764169600 129212540159970400 134058010415969290 136793888179560500 147671474468537600 153209154761107760 156335872205212000 161515675199963000 175096176869837440 178669568234528000 184589343085672000 191511443451384700 206740064255952640 214492816665550864 218870221087296800 239389304314230875 245134647617772416 250137395528339200 258425080319940800 268116020831938580 273587776359121000 306418309522215520 312671744410424000 323031350399926000 335145026039923225 350192353739674880 369178686171344000 383022886902769400 428985633331101728 437740442174593600 478778608628461750 490269295235544832 516850160639881600 536232041663877160 547175552718242000 612836619044431040 625343488820848000 646062700799852000 670290052079846450 738357372342688000 766045773805538800 857971266662203456 875480884349187200 957557217256923500 1033700321279763200 1072464083327754320 1094351105436484000 1225673238088862080 1250686977641696000 1292125401599704000 1340580104159692900 1532091547611077600 1675725130199616125 1715942533324406912 1750961768698374400 1915114434513847000 2144928166655508640 2188702210872968000 2451346476177724160 2584250803199408000 2681160208319385800 3064183095222155200 3351450260399232250 3431885066648813824 3830228869027694000 4289856333311017280 4377404421745936000 5168501606398816000 5362320416638771600 6128366190444310400 6702900520798464500 7660457738055388000 8579712666622034560 8754808843491872000 10724640833277543200 12256732380888620800 13405801041596929000 15320915476110776000 17159425333244069120 21449281666555086400 26811602083193858000 30641830952221552000 42898563333110172800 53623204166387716000 61283661904443104000 85797126666220345600 107246408332775432000 214492816665550864000 428985633331101728000
- Sum of all divisors σ(n): 1261970774688472475172
- Sum of proper divisors (its aliquot sum) s(n): 832985141357370747172
- 428985633331101728000 is an abundant number, because the sum of its proper divisors (832985141357370747172) is greater than itself. Its abundance is 403999508026269019172
Bases of 428985633331101728000
- Binary: 1011101000001010111110010000010100110101111100100101001111101000000002
- Hexadecimal: 0x17415F20A6BE4A7D00
- Base-36: 2IJ8CBJ0GXYQRK
Squares and roots of 428985633331101728000
- 428985633331101728000 squared (4289856333311017280002) is 184028673604486457856576002284585984000000
- 428985633331101728000 cubed (4289856333311017280003) is 78945657097303226595524534301574055008926239066980352000000000
-
The
square root of 428985633331101728000 is 20711968359.6490106263 -
The
cube root of 428985633331101728000 is 7541902.5406935561
Scales and comparisons
How big is 428985633331101728000?- 428,985,633,331,101,728,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 428,985,633,331,101,728,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 428985633331101728000 cubic inches would be around 628491.9 feet tall.
Recreational maths with 428985633331101728000
- 428985633331101728000 backwards is 000827101133336589824
- The number of decimal digits it has is: 21
- The sum of 428985633331101728000's digits is 74
- More coming soon!
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Cite this page
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"Number 428985633331101728000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 428985633331101728000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/428985633331101728000/
Chicago style:
Numbermatics. 2024. "Number 428985633331101728000 - Facts about the integer". https://numbermatics.com/n/428985633331101728000/
The information we have on file for 428985633331101728000 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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