47828919174937992
47,828,919,174,937,992 is an even composite number composed of six prime numbers multiplied together.
47828919174937992 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 47828919174937992:
23 × 32 × 7 × 13 × 232 × 13799425499
(2 × 2 × 2 × 3 × 3 × 7 × 13 × 23 × 23 × 13799425499)See below for interesting mathematical facts about the number 47828919174937992 from the Numbermatics database.
Names of 47828919174937992
- Cardinal: 47828919174937992 can be written as Forty-seven quadrillion, eight hundred twenty-eight trillion, nine hundred nineteen billion, one hundred seventy-four million, nine hundred thirty-seven thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 4.7828919174937992 × 1016
Factors of 47828919174937992
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 13799425547
Divisors of 47828919174937992
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 23 24 26 28 36 39 42 46 52 56 63 69 72 78 84 91 92 104 117 126 138 156 161 168 182 184 207 234 252 273 276 299 312 322 364 414 468 483 504 529 546 552 598 644 728 819 828 897 936 966 1058 1092 1196 1288 1449 1587 1638 1656 1794 1932 2093 2116 2184 2392 2691 2898 3174 3276 3588 3703 3864 4186 4232 4761 5382 5796 6279 6348 6552 6877 7176 7406 8372 9522 10764 11109 11592 12558 12696 13754 14812 16744 18837 19044 20631 21528 22218 25116 27508 29624 33327 37674 38088 41262 44436 48139 50232 55016 61893 66654 75348 82524 88872 96278 123786 133308 144417 150696 165048 192556 247572 266616 288834 385112 433251 495144 577668 866502 1155336 1733004 3466008 13799425499 27598850998 41398276497 55197701996 82796552994 96595978493 110395403992 124194829491 165593105988 179392531487 193191956986 248389658982 289787935479 317386786477 331186211976 358785062974 386383913972 496779317964 538177594461 579575870958 634773572954 717570125948 772767827944 869363806437 952160359431 993558635928 1076355188922 1159151741916 1255747720409 1269547145908 1435140251896 1614532783383 1738727612874 1904320718862 2152710377844 2221707505339 2318303483832 2511495440818 2539094291816 2856481078293 3229065566766 3477455225748 3767243161227 3808641437724 4126028224201 4305420755688 4443415010678 5022990881636 5712962156586 6458131133532 6665122516017 6954910451496 7299896088971 7534486322454 7617282875448 8252056448402 8886830021356 10045981763272 11301729483681 11425924313172 12378084672603 12916262267064 13330245032034 14599792177942 15068972644908 16504112896804 17773660042712 19995367548051 21899688266913 22603458967362 22851848626344 24756169345206 26660490064068 28882197569407 29199584355884 30137945289816 33008225793608 37134254017809 39990735096102 43799376533826 45206917934724 49512338690412 51099272622797 53320980128136 57764395138814 58399168711768 65699064800739 74268508035618 79981470192204 86646592708221 87598753067652 90413835869448 94898649156623 99024677380824 102198545245594 115528790277628 131398129601478 148537016071236 153297817868391 159962940384408 173293185416442 175197506135304 189797298313246 204397090491188 231057580555256 259939778124663 262796259202956 284695947469869 297074032142472 306595635736782 346586370832884 379594596626492 408794180982376 459893453605173 519879556249326 525592518405912 569391894939738 613191271473564 664290544096361 693172741665768 759189193252984 854087842409607 919786907210346 1039759112498652 1138783789879476 1226382542947128 1328581088192722 1708175684819214 1839573814420692 1992871632289083 2079518224997304 2277567579758952 2657162176385444 3416351369638428 3679147628841384 3985743264578166 5314324352770888 5978614896867249 6832702739276856 7971486529156332 11957229793734498 15942973058312664 23914459587468996 47828919174937992
- Sum of all divisors σ(n): 166662837464760000
- Sum of proper divisors (its aliquot sum) s(n): 118833918289822008
- 47828919174937992 is an abundant number, because the sum of its proper divisors (118833918289822008) is greater than itself. Its abundance is 71004999114884016
Bases of 47828919174937992
- Binary: 101010011110110000100110000010010110100110111101100010002
- Hexadecimal: 0xA9EC260969BD88
- Base-36: D2XXQ4YNRM0
Squares and roots of 47828919174937992
- 47828919174937992 squared (478289191749379922) is 2287605509442751129384597044992064
- 47828919174937992 cubed (478289191749379923) is 109413699015280193214546333442838387478861332095488
-
The
square root of 47828919174937992 is 218698237.7042348095 -
The
cube root of 47828919174937992 is 362991.8344535467
Scales and comparisons
How big is 47828919174937992?- 47,828,919,174,937,992 seconds is equal to 1,520,811,685 years, 10 weeks, 3 days, 15 hours, 13 minutes, 12 seconds.
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To count from 1 to 47,828,919,174,937,992 would take you about four billion, five hundred sixty-two million, four hundred thirty-five thousand and fifty-five 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 47828919174937992 cubic inches would be around 30249.3 feet tall.
Recreational maths with 47828919174937992
- 47828919174937992 backwards is 29973947191982874
- The number of decimal digits it has is: 17
- The sum of 47828919174937992's digits is 99
- More coming soon!
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