48993072804200448
48,993,072,804,200,448 is an even composite number composed of five prime numbers multiplied together.
48993072804200448 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred thirty-six divisors.
Prime factorization of 48993072804200448:
216 × 33 × 72 × 112 × 21612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 11 × 2161 × 2161)See below for interesting mathematical facts about the number 48993072804200448 from the Numbermatics database.
Names of 48993072804200448
- Cardinal: 48993072804200448 can be written as Forty-eight quadrillion, nine hundred ninety-three trillion, seventy-two billion, eight hundred four million, two hundred thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 4.8993072804200448 × 1016
Factors of 48993072804200448
Divisors of 48993072804200448
- Number of divisors d(n): 1836
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 49 54 56 63 64 66 72 77 84 88 96 98 99 108 112 121 126 128 132 144 147 154 168 176 189 192 196 198 216 224 231 242 252 256 264 288 294 297 308 336 352 363 378 384 392 396 432 441 448 462 484 504 512 528 539 576 588 594 616 672 693 704 726 756 768 784 792 847 864 882 896 924 968 1008 1024 1056 1078 1089 1152 1176 1188 1232 1323 1344 1386 1408 1452 1512 1536 1568 1584 1617 1694 1728 1764 1792 1848 1936 2016 2048 2079 2112 2156 2161 2178 2304 2352 2376 2464 2541 2646 2688 2772 2816 2904 3024 3072 3136 3168 3234 3267 3388 3456 3528 3584 3696 3872 4032 4096 4158 4224 4312 4322 4356 4608 4704 4752 4851 4928 5082 5292 5376 5544 5632 5808 5929 6048 6144 6272 6336 6468 6483 6534 6776 6912 7056 7168 7392 7623 7744 8064 8192 8316 8448 8624 8644 8712 9216 9408 9504 9702 9856 10164 10584 10752 11088 11264 11616 11858 12096 12288 12544 12672 12936 12966 13068 13552 13824 14112 14336 14553 14784 15127 15246 15488 16128 16384 16632 16896 17248 17288 17424 17787 18432 18816 19008 19404 19449 19712 20328 21168 21504 22176 22528 22869 23232 23716 23771 24192 24576 25088 25344 25872 25932 26136 27104 27648 28224 28672 29106 29568 30254 30492 30976 32256 32768 33264 33792 34496 34576 34848 35574 36864 37632 38016 38808 38898 39424 40656 42336 43008 44352 45056 45381 45738 46464 47432 47542 48384 49152 50176 50688 51744 51864 52272 53361 54208 55296 56448 57344 58212 58347 59136 60508 60984 61952 64512 65536 66528 67584 68992 69152 69696 71148 71313 73728 75264 76032 77616 77796 78848 81312 84672 86016 88704 90112 90762 91476 92928 94864 95084 96768 98304 100352 101376 103488 103728 104544 105889 106722 108416 110592 112896 114688 116424 116694 118272 121016 121968 123904 129024 133056 135168 136143 137984 138304 139392 142296 142626 147456 150528 152064 155232 155592 157696 160083 162624 166397 169344 172032 177408 180224 181524 182952 185856 189728 190168 193536 196608 200704 202752 206976 207456 209088 211778 213444 213939 216832 221184 225792 229376 232848 233388 236544 242032 243936 247808 258048 261481 266112 270336 272286 275968 276608 278784 284592 285252 294912 301056 304128 310464 311184 315392 317667 320166 325248 332794 338688 344064 354816 360448 363048 365904 371712 379456 380336 387072 401408 405504 408429 413952 414912 418176 423556 426888 427878 433664 442368 451584 458752 465696 466776 473088 484064 487872 495616 499191 516096 522962 532224 540672 544572 551936 553216 557568 569184 570504 589824 602112 608256 620928 622368 630784 635334 640332 641817 650496 665588 677376 688128 709632 720896 726096 731808 743424 758912 760672 774144 784443 802816 811008 816858 827904 829824 836352 847112 853776 855756 867328 884736 903168 931392 933552 946176 953001 968128 975744 991232 998382 1032192 1045924 1064448 1081344 1089144 1103872 1106432 1115136 1138368 1141008 1164779 1204224 1216512 1241856 1244736 1261568 1270668 1280664 1283634 1300992 1331176 1354752 1376256 1419264 1452192 1463616 1486848 1497573 1517824 1521344 1548288 1568886 1605632 1622016 1633716 1655808 1659648 1672704 1694224 1707552 1711512 1734656 1769472 1806336 1830367 1862784 1867104 1892352 1906002 1936256 1951488 1982464 1996764 2064384 2091848 2128896 2162688 2178288 2207744 2212864 2230272 2276736 2282016 2329558 2353329 2408448 2433024 2483712 2489472 2523136 2541336 2561328 2567268 2601984 2662352 2709504 2838528 2859003 2904384 2927232 2973696 2995146 3035648 3042688 3096576 3137772 3211264 3244032 3267432 3311616 3319296 3345408 3388448 3415104 3423024 3469312 3494337 3612672 3660734 3725568 3734208 3784704 3812004 3872512 3902976 3964928 3993528 4128768 4183696 4257792 4356576 4415488 4425728 4460544 4492719 4553472 4564032 4659116 4669921 4706658 4816896 4866048 4967424 4978944 5046272 5082672 5122656 5134536 5203968 5324704 5419008 5491101 5677056 5718006 5808768 5854464 5947392 5990292 6071296 6085376 6193152 6275544 6488064 6534864 6623232 6638592 6690816 6776896 6830208 6846048 6938624 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5443674756022272 6124134100525056 6999010400600064 8165512134033408 12248268201050112 16331024268066816 24496536402100224 48993072804200448
- Sum of all divisors σ(n): 185696470942393320
- Sum of proper divisors (its aliquot sum) s(n): 136703398138192872
- 48993072804200448 is an abundant number, because the sum of its proper divisors (136703398138192872) is greater than itself. Its abundance is 87710325333992424
Bases of 48993072804200448
- Binary: 101011100000111011110000101011001111001100000000000000002
- Hexadecimal: 0xAE0EF0ACF30000
- Base-36: DEELEXJYTC0
Squares and roots of 48993072804200448
- 48993072804200448 squared (489930728042004482) is 2400321182797685549330872563400704
- 48993072804200448 cubed (489930728042004483) is 117599110462271540101515603456529071640442560315392
-
The
square root of 48993072804200448 is 221343788.7183655489 -
The
cube root of 48993072804200448 is 365913.3261575587
Scales and comparisons
How big is 48993072804200448?- 48,993,072,804,200,448 seconds is equal to 1,557,828,169 years, 33 weeks, 5 days, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 48,993,072,804,200,448 would take you about four billion, six hundred seventy-three million, four hundred eighty-four thousand, five hundred eight 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 48993072804200448 cubic inches would be around 30492.8 feet tall.
Recreational maths with 48993072804200448
- 48993072804200448 backwards is 84400240827039984
- 48993072804200448 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48993072804200448's digits is 72
- More coming soon!
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"Number 48993072804200448 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 48993072804200448 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/48993072804200448/
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