428815409315399168000
428,815,409,315,399,168,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 428815409315399168000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 416 divisors.
428815409315399168000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred sixteen divisors.
Prime factorization of 428815409315399168000:
212 × 53 × 17 × 16811 × 2930609497
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 16811 × 2930609497)See below for interesting mathematical facts about the number 428815409315399168000 from the Numbermatics database.
Names of 428815409315399168000
- Cardinal: 428815409315399168000 can be written as Four hundred twenty-eight quintillion, eight hundred fifteen quadrillion, four hundred nine trillion, three hundred fifteen billion, three hundred ninety-nine million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.28815409315399168 × 1020
Factors of 428815409315399168000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 2930626332
Divisors of 428815409315399168000
- Number of divisors d(n): 416
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 50 64 68 80 85 100 125 128 136 160 170 200 250 256 272 320 340 400 425 500 512 544 640 680 800 850 1000 1024 1088 1280 1360 1600 1700 2000 2048 2125 2176 2560 2720 3200 3400 4000 4096 4250 4352 5120 5440 6400 6800 8000 8500 8704 10240 10880 12800 13600 16000 16811 17000 17408 20480 21760 25600 27200 32000 33622 34000 34816 43520 51200 54400 64000 67244 68000 69632 84055 87040 102400 108800 128000 134488 136000 168110 174080 217600 256000 268976 272000 285787 336220 348160 420275 435200 512000 537952 544000 571574 672440 840550 870400 1075904 1088000 1143148 1344880 1428935 1681100 1740800 2101375 2151808 2176000 2286296 2689760 2857870 3362200 4202750 4303616 4352000 4572592 5379520 5715740 6724400 7144675 8405500 8607232 8704000 9145184 10759040 11431480 13448800 14289350 16811000 17214464 18290368 21518080 22862960 26897600 28578700 33622000 34428928 35723375 36580736 43036160 45725920 53795200 57157400 67244000 68857856 71446750 73161472 86072320 91451840 107590400 114314800 134488000 142893500 146322944 172144640 182903680 215180800 228629600 268976000 285787000 292645888 344289280 365807360 430361600 457259200 537952000 571574000 585291776 731614720 860723200 914518400 1075904000 1143148000 1170583552 1463229440 1721446400 1829036800 2151808000 2286296000 2926458880 2930609497 3658073600 4303616000 4572592000 5852917760 5861218994 7316147200 8607232000 9145184000 11722437988 14632294400 14653047485 18290368000 23444875976 29264588800 29306094970 36580736000 46889751952 49820361449 58612189940 73161472000 73265237425 93779503904 99640722898 117224379880 146322944000 146530474850 187559007808 199281445796 234448759760 249101807245 293060949700 366326187125 375118015616 398562891592 468897519520 498203614490 586121899400 732652374250 750236031232 797125783184 937795039040 996407228980 1172243798800 1245509036225 1465304748500 1500472062464 1594251566368 1875590078080 1992814457960 2344487597600 2491018072450 2930609497000 3000944124928 3188503132736 3751180156160 3985628915920 4688975195200 4982036144900 5861218994000 6001888249856 6227545181125 6377006265472 7502360312320 7971257831840 9377950390400 9964072289800 11722437988000 12003776499712 12455090362250 12754012530944 15004720624640 15942515663680 18755900780800 19928144579600 23444875976000 24910180724500 25508025061888 30009441249280 31885031327360 37511801561600 39856289159200 46889751952000 49266476254067 49820361449000 51016050123776 60018882498560 63770062654720 75023603123200 79712578318400 93779503904000 98532952508134 99640722898000 102032100247552 127540125309440 150047206246400 159425156636800 187559007808000 197065905016268 199281445796000 204064200495104 246332381270335 255080250618880 300094412492800 318850313273600 375118015616000 394131810032536 398562891592000 492664762540670 510160501237760 637700626547200 750236031232000 788263620065072 797125783184000 837530096319139 985329525081340 1020321002475520 1231661906351675 1275401253094400 1500472062464000 1576527240130144 1594251566368000 1675060192638278 1970659050162680 2463323812703350 2550802506188800 3153054480260288 3188503132736000 3350120385276556 3941318100325360 4187650481595695 4926647625406700 5101605012377600 6158309531758375 6306108960520576 6377006265472000 6700240770553112 7882636200650720 8375300963191390 9853295250813400 12316619063516750 12612217921041152 12754012530944000 13400481541106224 15765272401301440 16750601926382780 19706590501626800 20938252407978475 24633238127033500 25224435842082304 25508025061888000 26800963082212448 31530544802602880 33501203852765560 39413181003253600 41876504815956950 49266476254067000 50448871684164608 53601926164424896 63061089605205760 67002407705531120 78826362006507200 83753009631913900 98532952508134000 100897743368329216 104691262039892375 107203852328849792 126122179210411520 134004815411062240 157652724013014400 167506019263827800 197065905016268000 201795486736658432 209382524079784750 214407704657699584 252244358420823040 268009630822124480 315305448026028800 335012038527655600 394131810032536000 418765048159569500 428815409315399168 504488716841646080 536019261644248960 630610896052057600 670024077055311200 788263620065072000 837530096319139000 857630818630798336 1008977433683292160 1072038523288497920 1261221792104115200 1340048154110622400 1576527240130144000 1675060192638278000 1715261637261596672 2144077046576995840 2522443584208230400 2680096308221244800 3153054480260288000 3350120385276556000 3430523274523193344 4288154093153991680 5044887168416460800 5360192616442489600 6306108960520576000 6700240770553112000 8576308186307983360 10720385232884979200 12612217921041152000 13400481541106224000 17152616372615966720 21440770465769958400 25224435842082304000 26800963082212448000 42881540931539916800 53601926164424896000 85763081863079833600 107203852328849792000 214407704657699584000 428815409315399168000
- Sum of all divisors σ(n): 1133212518614104763328
- Sum of proper divisors (its aliquot sum) s(n): 704397109298705595328
- 428815409315399168000 is an abundant number, because the sum of its proper divisors (704397109298705595328) is greater than itself. Its abundance is 275581699983306427328
Bases of 428815409315399168000
- Binary: 1011100111111000000100101111011001111100110100001100101110000000000002
- Hexadecimal: 0x173F025ECF9A197000
- Base-36: 2IHXS85F7UI48W
Squares and roots of 428815409315399168000
- 428815409315399168000 squared (4288154093153991680002) is 183882655266333327547836059175092224000000
- 428815409315399168000 cubed (4288154093153991680003) is 78851716084035166263388636699374347911502469772869632000000000
-
The
square root of 428815409315399168000 is 20707858636.6480483563 -
The
cube root of 428815409315399168000 is 7540904.8516628413
Scales and comparisons
How big is 428815409315399168000?- 428,815,409,315,399,168,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 428,815,409,315,399,168,000 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 428815409315399168000 cubic inches would be around 628408.7 feet tall.
Recreational maths with 428815409315399168000
- 428815409315399168000 backwards is 000861993513904518824
- The number of decimal digits it has is: 21
- The sum of 428815409315399168000's digits is 86
- More coming soon!
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The information we have on file for 428815409315399168000 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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