47938233593940872
47,938,233,593,940,872 is an even composite number composed of six prime numbers multiplied together.
47938233593940872 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 47938233593940872:
23 × 73 × 13 × 19 × 59 × 1198806131
(2 × 2 × 2 × 7 × 7 × 7 × 13 × 19 × 59 × 1198806131)See below for interesting mathematical facts about the number 47938233593940872 from the Numbermatics database.
Names of 47938233593940872
- Cardinal: 47938233593940872 can be written as Forty-seven quadrillion, nine hundred thirty-eight trillion, two hundred thirty-three billion, five hundred ninety-three million, nine hundred forty thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 4.7938233593940872 × 1016
Factors of 47938233593940872
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 1198806231
Divisors of 47938233593940872
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 4 7 8 13 14 19 26 28 38 49 52 56 59 76 91 98 104 118 133 152 182 196 236 247 266 343 364 392 413 472 494 532 637 686 728 767 826 931 988 1064 1121 1274 1372 1534 1652 1729 1862 1976 2242 2548 2744 2891 3068 3304 3458 3724 4459 4484 5096 5369 5782 6136 6517 6916 7448 7847 8918 8968 10738 11564 12103 13034 13832 14573 15694 17836 20237 21476 23128 24206 26068 29146 31388 35672 37583 40474 42952 48412 52136 54929 58292 62776 75166 80948 84721 96824 102011 109858 116584 150332 161896 169442 204022 219716 263081 300664 338884 384503 408044 439432 526162 677768 714077 769006 816088 1052324 1428154 1538012 2104648 2856308 3076024 4998539 5712616 9997078 19994156 39988312 1198806131 2397612262 4795224524 8391642917 9590449048 15584479703 16783285834 22777316489 31168959406 33566571668 45554632978 58741500419 62337918812 67133143336 70729561729 91109265956 109091357921 117483000838 124675837624 141459123458 159441215423 182218531912 218182715842 234966001676 282918246916 296105114357 318882430846 411190502933 436365431684 469932003352 495106932103 565836493832 592210228714 637764861692 763639505447 822381005866 872730863368 919484302477 990213864206 1116088507961 1184420457428 1275529723384 1343861672851 1527279010894 1644762011732 1838968604954 1980427728412 2072735800499 2232177015922 2368840914856 2687723345702 3054558021788 3289524023464 3465748524721 3677937209908 3960855456824 4145471600998 4464354031844 5345476538129 5375446691404 6109116043576 6436390117339 6931497049442 7355874419816 7812619555727 8290943201996 8928708063688 9407031709957 10690953076258 10750893382808 12872780234678 13862994098884 14509150603493 15625239111454 16581886403992 17470201747063 18814063419914 21381906152516 24260239673047 25745560469356 27725988197768 29018301206986 31250478222908 34940403494126 37628126839828 42763812305032 45054730821373 48520479346094 51491120938712 58036602413972 62500956445816 65849221969699 69880806988252 75256253679656 90109461642746 97040958692188 101564054224451 116073204827944 122291412229441 131698443939398 139761613976504 180218923285492 194081917384376 203128108448902 244582824458882 263396887878796 315383115749611 360437846570984 406256216897804 460944553787893 489165648917764 526793775757592 630766231499222 812512433795608 856039885606087 921889107575786 978331297835528 1261532462998444 1712079771212174 1843778215151572 2523064925996888 3424159542424348 3687556430303144 5992279199242609 6848319084848696 11984558398485218 23969116796970436 47938233593940872
- Sum of all divisors σ(n): 120839658105600000
- Sum of proper divisors (its aliquot sum) s(n): 72901424511659128
- 47938233593940872 is an abundant number, because the sum of its proper divisors (72901424511659128) is greater than itself. Its abundance is 24963190917718256
Bases of 47938233593940872
- Binary: 101010100100111110010001110010001000011011001011100010002
- Hexadecimal: 0xAA4F91C886CB88
- Base-36: D40OOHLBIIW
Squares and roots of 47938233593940872
- 47938233593940872 squared (479382335939408722) is 2298074240107241173084111432120384
- 47938233593940872 cubed (479382335939408723) is 110165619738479090432531658286830725580221681934848
-
The
square root of 47938233593940872 is 218948015.7341940197 -
The
cube root of 47938233593940872 is 363268.1669205391
Scales and comparisons
How big is 47938233593940872?- 47,938,233,593,940,872 seconds is equal to 1,524,287,545 years, 30 weeks, 6 days, 12 hours, 54 minutes, 32 seconds.
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To count from 1 to 47,938,233,593,940,872 would take you about four billion, five hundred seventy-two million, eight hundred sixty-two thousand, six hundred thirty-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 47938233593940872 cubic inches would be around 30272.3 feet tall.
Recreational maths with 47938233593940872
- 47938233593940872 backwards is 27804939533283974
- The number of decimal digits it has is: 17
- The sum of 47938233593940872's digits is 86
- More coming soon!
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