428080928413425
428,080,928,413,425 is an odd composite number composed of six prime numbers multiplied together.
428080928413425 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 428080928413425:
3 × 52 × 73 × 613 × 167 × 439
(3 × 5 × 5 × 7 × 7 × 7 × 61 × 61 × 61 × 167 × 439)See below for interesting mathematical facts about the number 428080928413425 from the Numbermatics database.
Names of 428080928413425
- Cardinal: 428080928413425 can be written as Four hundred twenty-eight trillion, eighty billion, nine hundred twenty-eight million, four hundred thirteen thousand, four hundred twenty-five.
Scientific notation
- Scientific notation: 4.28080928413425 × 1014
Factors of 428080928413425
Divisors of 428080928413425
- Number of divisors d(n): 384
-
Complete list of divisors:
1 3 5 7 15 21 25 35 49 61 75 105 147 167 175 183 245 305 343 427 439 501 525 735 835 915 1029 1169 1225 1281 1317 1525 1715 2135 2195 2505 2989 3073 3507 3675 3721 4175 4575 5145 5845 6405 6585 8183 8575 8967 9219 10187 10675 10975 11163 12525 14945 15365 17535 18605 20923 21511 24549 25725 26047 26779 29225 30561 32025 32925 40915 44835 46095 50935 55815 57281 62769 64533 71309 73313 74725 76825 78141 80337 87675 93025 104615 107555 122745 130235 133895 150577 152805 171843 182329 187453 204575 213927 219939 224175 226981 230475 254675 279075 286405 313845 322665 356545 366565 390705 401685 451731 499163 513191 523075 537775 546987 562359 613725 621407 651175 669475 680943 752885 764025 859215 911645 937265 1069635 1099695 1134905 1276303 1312171 1432025 1497489 1539573 1569225 1588867 1613325 1633519 1782725 1832825 1864221 1953525 2008425 2258655 2495815 2565955 2734935 2811795 3107035 3404715 3494141 3592337 3764425 3828909 3936513 4296075 4349849 4472093 4558225 4686325 4766601 4900557 5348175 5498475 5674525 6381515 6560855 7487445 7697865 7944335 8167595 9185197 9321105 10482423 10777011 11122069 11293275 11434633 12479075 12829775 13049547 13416279 13674675 14058975 15535175 17023575 17470705 17961685 19144545 19682565 21749245 22360465 23833005 24502785 25146359 27555591 30448943 31304651 31907575 32804275 33366207 34303899 37437225 37905827 38489325 39721675 40837975 45925985 46605525 52412115 53885055 55610345 57173165 65247735 67081395 75439077 77854483 80042431 87353525 89808425 91346829 93913953 95722725 98412825 99644659 108746225 111802325 113717481 119165025 122513925 125731795 137777955 152244715 156523255 166831035 171519495 189529135 213142601 219132557 229629925 233563449 240127293 262060575 265340789 269425275 272797673 278051725 285865825 298933977 326238675 335406975 377195385 389272415 400212155 456734145 469569765 498223295 560297017 568587405 628658975 639427803 657397671 688889775 697512613 761223575 782616275 796022367 818393019 834155175 857597475 947645675 1065713005 1095662785 1167817245 1200636465 1326703945 1363988365 1494669885 1533927899 1680891051 1857385523 1885976925 1909583711 1946362075 2001060775 2092537839 2283670725 2347848825 2491116475 2801485085 2842937025 3197139015 3286988355 3487563065 3980111835 4091965095 4601783697 4882588291 5328565025 5478313925 5572156569 5728751133 5839086225 6003182325 6633519725 6819941825 7473349425 7669639495 8404455255 9286927615 9547918555 10462689195 13001698661 13367085977 14007425425 14647764873 15985695075 16434941775 16640658053 17437815325 19900559175 20459825475 23008918485 24412941455 27860782845 28643755665 34178118037 38348197475 39005095983 40101257931 42022276275 46434638075 47739592775 49921974159 52313445975 65008493305 66835429885 73238824365 83203290265 93569601839 102534354111 115044592425 116484606371 122064707275 139303914225 143218778325 170890590185 195025479915 200506289655 249609870795 280708805517 325042466525 334177149425 349453819113 366194121825 416016451325 467848009195 512671770555 582423031855 815392244597 854452950925 975127399575 1002531448275 1248049353975 1403544027585 1747269095565 2339240045975 2446176733791 2563358852775 2912115159275 4076961222985 5707745712179 7017720137925 8736345477825 12230883668955 17123237136537 20384806114925 28538728560895 61154418344775 85616185682685 142693642804475 428080928413425
- Sum of all divisors σ(n): 846080514048000
- Sum of proper divisors (its aliquot sum) s(n): 417999585634575
- 428080928413425 is a deficient number, because the sum of its proper divisors (417999585634575) is less than itself. Its deficiency is 10081342778850
Bases of 428080928413425
- Binary: 11000010101010110010110111010110001010110111100012
- Hexadecimal: 0x185565BAC56F1
- Base-36: 47QPNW1ZOX
Squares and roots of 428080928413425
- 428080928413425 squared (4280809284134252) is 183253281271299899487720230625
- 428080928413425 cubed (4280809284134253) is 78447234781424568548597161876034756346140625
-
The
square root of 428080928413425 is 20690116.6843839961 -
The
cube root of 428080928413425 is 75365.9700286607
Scales and comparisons
How big is 428080928413425?- 428,080,928,413,425 seconds is equal to 13,611,649 years, 19 weeks, 6 days, 3 hours, 43 minutes, 45 seconds.
-
To count from 1 to 428,080,928,413,425 would take you about thirty-four million, twenty-nine thousand, one hundred twenty-three 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 428080928413425 cubic inches would be around 6280.5 feet tall.
Recreational maths with 428080928413425
- 428080928413425 backwards is 524314829080824
- The number of decimal digits it has is: 15
- The sum of 428080928413425's digits is 60
- More coming soon!
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