448242968388384
448,242,968,388,384 is an even composite number composed of five prime numbers multiplied together.
448242968388384 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 448242968388384:
25 × 35 × 132 × 193 × 2232
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 19 × 19 × 19 × 223 × 223)See below for interesting mathematical facts about the number 448242968388384 from the Numbermatics database.
Names of 448242968388384
- Cardinal: 448242968388384 can be written as Four hundred forty-eight trillion, two hundred forty-two billion, nine hundred sixty-eight million, three hundred eighty-eight thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 4.48242968388384 × 1014
Factors of 448242968388384
Divisors of 448242968388384
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 48 52 54 57 72 76 78 81 96 104 108 114 117 144 152 156 162 169 171 208 216 223 228 234 243 247 288 304 312 324 338 342 351 361 416 432 446 456 468 486 494 507 513 608 624 648 669 676 684 702 722 741 864 892 912 936 972 988 1014 1026 1053 1083 1248 1296 1338 1352 1368 1404 1444 1482 1521 1539 1784 1824 1872 1944 1976 2007 2028 2052 2106 2166 2223 2592 2676 2704 2736 2808 2888 2899 2964 3042 3078 3159 3211 3249 3568 3744 3888 3952 4014 4056 4104 4212 4237 4332 4446 4563 4617 4693 5352 5408 5472 5616 5776 5798 5928 6021 6084 6156 6318 6422 6498 6669 6859 7136 7776 7904 8028 8112 8208 8424 8474 8664 8697 8892 9126 9234 9386 9633 9747 10704 11232 11552 11596 11856 12042 12168 12312 12636 12711 12844 12996 13338 13689 13718 14079 16056 16224 16416 16848 16948 17328 17394 17784 18063 18252 18468 18772 19266 19494 20007 20577 21408 23192 23712 24084 24336 24624 25272 25422 25688 25992 26091 26676 27378 27436 28158 28899 29241 32112 33696 33896 34656 34788 35568 36126 36504 36936 37544 37687 38133 38532 38988 40014 41067 41154 42237 46384 48168 48672 49248 49729 50544 50844 51376 51984 52182 53352 54189 54756 54872 55081 56316 57798 58482 60021 61009 61731 64224 67792 69576 71136 72252 73008 73872 75088 75374 76266 77064 77976 78273 80028 80503 82134 82308 84474 86697 87723 89167 92768 96336 99458 101088 101688 102752 103968 104364 106704 108378 109512 109744 110162 112632 113061 114399 115596 116964 120042 122018 123462 126711 135584 139152 144504 146016 147744 149187 150176 150748 152532 154128 155952 156546 160056 161006 164268 164616 165243 168948 173394 175446 178334 183027 185193 192672 198916 203376 208728 213408 216756 219024 219488 220324 225264 226122 228798 231192 233928 234819 240084 241509 244036 246924 253422 260091 267501 278304 289008 298374 301496 305064 308256 311904 313092 320112 322012 328536 329232 330486 337896 339183 343197 346788 350892 356668 366054 370386 380133 397832 406752 417456 433512 438048 440648 447561 450528 452244 457596 462384 467856 469638 480168 483018 488072 493848 495729 506844 520182 535002 549081 555579 578016 596748 602992 610128 626184 640224 644024 646477 657072 658464 660972 675792 678366 686394 693576 701784 704457 713336 716053 724527 732108 740772 760266 780273 795664 802503 834912 867024 881296 895122 904488 915192 924768 935712 939276 944851 960336 966036 976144 987696 991458 1013688 1017549 1029591 1040364 1046539 1070004 1098162 1111158 1140399 1159171 1193496 1205984 1220256 1252368 1288048 1292954 1314144 1321944 1342683 1351584 1356732 1372788 1387152 1403568 1408914 1426672 1432106 1449054 1464216 1481544 1487187 1520532 1529557 1560546 1591328 1605006 1647243 1666737 1734048 1762592 1790244 1808976 1830384 1878552 1889702 1920672 1932072 1939431 1952288 1975392 1982916 2027376 2035098 2059182 2080728 2093078 2140008 2148159 2173581 2196324 2222316 2280798 2318342 2386992 2407509 2504736 2576096 2585908 2643888 2685366 2713464 2745576 2774304 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3831136481952 3931955863056 4150397855448 4310028542196 4669197587379 5533863807264 5746704722928 5897933794584 6225596783172 7863911726112 8300795710896 8620057084392 9338395174758 11493409445856 11795867589168 12451193566344 14007592762137 16601591421792 17240114168784 18676790349516 23591735178336 24902387132688 28015185524274 34480228337568 37353580699032 49804774265376 56030371048548 74707161398064 112060742097096 149414322796128 224121484194192 448242968388384
- Sum of all divisors σ(n): 1517725267924320
- Sum of proper divisors (its aliquot sum) s(n): 1069482299535936
- 448242968388384 is an abundant number, because the sum of its proper divisors (1069482299535936) is greater than itself. Its abundance is 621239331147552
Bases of 448242968388384
- Binary: 11001011110101100101100101110011101100011001000002
- Hexadecimal: 0x197ACB2E76320
- Base-36: 4EVZZ63600
Squares and roots of 448242968388384
- 448242968388384 squared (4482429683883842) is 200921758709629817918266131456
- 448242968388384 cubed (4482429683883843) is 90061765537819116099664059380083474607407104
-
The
square root of 448242968388384 is 21171749.2992049195 -
The
cube root of 448242968388384 is 76531.0776028181
Scales and comparisons
How big is 448242968388384?- 448,242,968,388,384 seconds is equal to 14,252,739 years, 46 weeks, 1 day, 7 hours, 26 minutes, 24 seconds.
-
To count from 1 to 448,242,968,388,384 would take you about thirty-five million, six hundred thirty-one thousand, eight hundred forty-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 448242968388384 cubic inches would be around 6377.6 feet tall.
Recreational maths with 448242968388384
- 448242968388384 backwards is 483883869242844
- 448242968388384 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 448242968388384's digits is 81
- More coming soon!
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MLA style:
"Number 448242968388384 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 448242968388384 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/448242968388384/
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The information we have on file for 448242968388384 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 448242968388384, math, Factors of 448242968388384, curriculum, school, college, exams, university, Prime factorization of 448242968388384, STEM, science, technology, engineering, physics, economics, calculator, four hundred forty-eight trillion, two hundred forty-two billion, nine hundred sixty-eight million, three hundred eighty-eight thousand, three hundred eighty-four.