428013827843319
428,013,827,843,319 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 428013827843319 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
428013827843319 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 428013827843319:
35 × 19 × 23 × 61 × 89 × 683 × 1087
(3 × 3 × 3 × 3 × 3 × 19 × 23 × 61 × 89 × 683 × 1087)See below for interesting mathematical facts about the number 428013827843319 from the Numbermatics database.
Names of 428013827843319
- Cardinal: 428013827843319 can be written as Four hundred twenty-eight trillion, thirteen billion, eight hundred twenty-seven million, eight hundred forty-three thousand, three hundred nineteen.
Scientific notation
- Scientific notation: 4.28013827843319 × 1014
Factors of 428013827843319
Divisors of 428013827843319
- Number of divisors d(n): 384
-
Complete list of divisors:
1 3 9 19 23 27 57 61 69 81 89 171 183 207 243 267 437 513 549 621 683 801 1087 1159 1311 1403 1539 1647 1691 1863 2047 2049 2403 3261 3477 3933 4209 4617 4941 5073 5429 5589 6141 6147 7209 9783 10431 11799 12627 12977 14823 15219 15709 16287 18423 18441 20653 21627 25001 26657 29349 31293 35397 37881 38893 38931 41663 45657 47127 48861 55269 55323 60787 61959 66307 75003 79971 88047 93879 96743 103151 106191 113643 116679 116793 124867 124989 136971 141381 146583 165807 165969 182361 185877 198921 225009 239913 264141 281637 290229 298471 309453 340929 350037 350379 374601 374967 410913 424143 439749 475019 497421 547083 557631 596763 675027 719739 742421 791597 870687 895413 928359 958249 1050111 1051137 1123803 1124901 1154953 1259833 1272429 1319247 1398101 1425057 1525061 1641249 1672893 1790289 1838117 2025081 2159217 2225089 2227263 2372473 2374791 2612061 2686239 2785077 2874747 3150333 3153411 3371409 3374703 3464859 3708007 3779499 3817287 4194303 4275171 4575183 4923747 5018679 5370867 5514351 5901323 6075243 6477651 6675267 6681789 7117419 7124373 7836183 8058717 8355231 8624241 9450999 10114227 10124109 10394577 11124021 11338497 12582909 12825513 13725549 14105999 14771241 16112601 16543053 17075683 17703969 18206731 20025801 20045367 21352257 21373119 23508549 24176151 25065693 25872723 26563919 28976159 30342681 31183731 33372063 34015491 37748727 38476539 41176647 42276691 42317997 45287681 49629159 51227049 53111907 54620193 60077403 60136101 64056771 64119357 66075469 70452133 72528453 77618169 79691757 85284161 86928477 93551193 100116189 102046473 112125137 113246181 115429617 123529941 126830073 126953991 135730429 135863043 148887477 153681147 159335721 163860579 180232209 180408303 192170313 192358071 198226407 211356399 232854507 239075271 255852483 260785431 280653579 300348567 306139419 324437977 336375411 339738543 370589823 380490219 380861973 407191287 407589129 446662431 461043441 478007163 491581737 540696627 576510939 594679221 634069197 717225813 767557449 782356293 860465939 901045701 973313931 1009126233 1041616663 1141470657 1142585919 1221573861 1222767387 1255433911 1383130323 1434021489 1474745211 1519735787 1620399059 1784037663 1902207591 2151677439 2302672347 2347068879 2578878151 2581397817 2919941793 3027378699 3124849989 3424411971 3427757757 3664721583 3668302161 3766301733 4030603609 4149390969 4424235633 4559207361 4861197177 5352112989 5706622773 6455032317 6908017041 7041206637 7736634453 7744193451 8759825379 9082136097 9374549967 10273235913 10994164749 11004906483 11298905199 12091810827 13677622083 14583591531 16056338967 17119868319 19790716597 20724051123 23209903359 23232580353 26279476137 27246408291 28123649901 28874979953 32982494247 33896715597 36275432481 41032866249 43750774593 59372149791 69629710077 69697741059 76581468571 78838428411 84370949703 86624939859 92703883007 101690146791 108826297443 123098598747 131252323779 178116449373 208889130231 209093223177 229744405713 253112849109 259874819577 278111649021 305070440373 326478892329 369295796241 393756971337 534349348119 626667390693 689233217139 779624458731 834334947063 979436676987 1603048044357 1761373777133 2067699651417 2338873376193 2503004841189 4809144133071 5284121331399 6203098954251 7016620128579 7509014523567 15852363994197 18609296862753 22527043570701 47557091982591 142671275947773 428013827843319
- Sum of all divisors σ(n): 725540762419200
- Sum of proper divisors (its aliquot sum) s(n): 297526934575881
- 428013827843319 is a deficient number, because the sum of its proper divisors (297526934575881) is less than itself. Its deficiency is 130486893267438
Bases of 428013827843319
- Binary: 11000010101000110101111000010101011100100111101112
- Hexadecimal: 0x18546BC2AE4F7
- Base-36: 47PUU63WFR
Squares and roots of 428013827843319
- 428013827843319 squared (4280138278433192) is 183195836825090314854812935761
- 428013827843319 cubed (4280138278433193) is 78410351364466965197141773237216757520030759
-
The
square root of 428013827843319 is 20688495.0598954637 -
The
cube root of 428013827843319 is 75362.0320164207
Scales and comparisons
How big is 428013827843319?- 428,013,827,843,319 seconds is equal to 13,609,515 years, 41 weeks, 1 day, 4 hours, 28 minutes, 39 seconds.
-
To count from 1 to 428,013,827,843,319 would take you about thirty-four million, twenty-three thousand, seven hundred eighty-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 428013827843319 cubic inches would be around 6280.2 feet tall.
Recreational maths with 428013827843319
- 428013827843319 backwards is 913348728310824
- The number of decimal digits it has is: 15
- The sum of 428013827843319's digits is 63
- More coming soon!
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