428138055345
428,138,055,345 is an odd composite number composed of eight prime numbers multiplied together.
What does the number 428138055345 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 384 divisors.
428138055345 is an odd composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 428138055345:
3 × 5 × 7 × 11 × 13 × 612 × 79 × 97
(3 × 5 × 7 × 11 × 13 × 61 × 61 × 79 × 97)See below for interesting mathematical facts about the number 428138055345 from the Numbermatics database.
Names of 428138055345
- Cardinal: 428138055345 can be written as Four hundred twenty-eight billion, one hundred thirty-eight million, fifty-five thousand, three hundred forty-five.
Scientific notation
- Scientific notation: 4.28138055345 × 1011
Factors of 428138055345
Divisors of 428138055345
- Number of divisors d(n): 384
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Complete list of divisors:
1 3 5 7 11 13 15 21 33 35 39 55 61 65 77 79 91 97 105 143 165 183 195 231 237 273 291 305 385 395 427 429 455 485 553 671 679 715 793 869 915 1001 1027 1067 1155 1185 1261 1281 1365 1455 1659 2013 2037 2135 2145 2379 2607 2765 3003 3081 3201 3355 3395 3721 3783 3965 4345 4697 4819 5005 5135 5335 5551 5917 6083 6305 6405 7189 7469 7663 8295 8723 8827 10065 10185 11163 11297 11895 13035 13871 14091 14457 15015 15405 16005 16653 17751 18249 18605 18915 21567 22407 22989 23485 24095 26047 26169 26481 27755 29585 30415 33733 33891 35945 37345 38315 40931 41419 41613 43615 44135 48373 53009 53641 55815 56485 61061 62647 65087 69355 70455 72285 76921 78141 79079 83265 84293 88755 91245 97097 99619 101199 107835 112035 114945 122793 124257 130235 130845 132405 145119 159027 160923 168665 169455 183183 187941 195261 204655 207095 208065 230763 237237 241865 252879 265045 268205 286517 291291 293959 298857 305305 313235 325435 338611 360937 371063 384605 390705 395395 421465 438529 455609 467443 485485 498095 505995 532103 538447 590051 613965 621285 689117 697333 725595 795135 804615 846131 859551 881877 915915 939705 976305 1015833 1082811 1095809 1113189 1153815 1186185 1264395 1315587 1366827 1402329 1432585 1456455 1469795 1494285 1596309 1615341 1693055 1770153 1804685 1855315 2057713 2067351 2091999 2192645 2278045 2337215 2526559 2538393 2660515 2692235 2950255 3233549 3272101 3287427 3445585 3486665 3724721 3821467 3970307 4230655 4297755 4409385 4692181 4823819 5079165 5141873 5414055 5479045 5565945 5922917 6076759 6173139 6577935 6834135 7011645 7579677 7670663 7981545 8076705 8850765 9700647 9816303 10288565 10336755 10459995 11174163 11464401 11910921 12632795 12691965 14076543 14471457 15425619 16167745 16360505 16437135 17768751 18230277 18623605 19107335 19851535 22634843 23011989 23460905 24119095 25709365 26750269 27792149 28514023 29614585 30383795 30865695 32845267 35993111 37898385 38353315 42036137 42537313 48503235 49081515 51613991 55870815 57322005 59554605 66844349 67904529 70382715 72357285 77128095 80250807 83376447 85542069 88843755 91151385 98535801 107979333 113174215 115059945 126108411 127611939 133751345 138960745 142570115 154841973 164226335 179965555 199598161 200533047 210180685 212686565 258069955 294252959 313654253 334221745 339522645 361297937 370682299 401254035 416882235 427710345 467910443 492679005 539896665 598794483 630542055 638059695 774209865 882758877 940962759 997990805 1002665235 1083893811 1112046897 1403731329 1471264795 1568271265 1806489685 1853411495 2195579771 2339552215 2594776093 2993972415 4077505289 4413794385 4704813795 5419469055 5560234485 6586739313 7018656645 7784328279 10977898855 12232515867 12973880465 20387526445 28542537023 32933696565 38921641395 61162579335 85627611069 142712685115 428138055345
- Sum of all divisors σ(n): 956671672320
- Sum of proper divisors (its aliquot sum) s(n): 528533616975
- 428138055345 is an abundant number, because the sum of its proper divisors (528533616975) is greater than itself. Its abundance is 100395561630
Bases of 428138055345
- Binary: 1100011101011110000010001000110101100012
- Hexadecimal: 0x63AF0446B1
- Base-36: 5GOMCDRL
Squares and roots of 428138055345
- 428138055345 squared (4281380553452) is 183302194434598283069025
- 428138055345 cubed (4281380553453) is 78478645065699990699448201905188625
-
The
square root of 428138055345 is 654322.5927208995 -
The
cube root of 428138055345 is 7536.9322381625
Scales and comparisons
How big is 428138055345?- 428,138,055,345 seconds is equal to 13,613 years, 24 weeks, 1 day, 13 hours, 35 minutes, 45 seconds.
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To count from 1 to 428,138,055,345 would take you about twenty-seven thousand, two hundred twenty-six 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 428138055345 cubic inches would be around 628.1 feet tall.
Recreational maths with 428138055345
- 428138055345 backwards is 543550831824
- The number of decimal digits it has is: 12
- The sum of 428138055345's digits is 48
- More coming soon!
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