1328249664
1,328,249,664 is an even composite number composed of four prime numbers multiplied together.
1328249664 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred ninety-two divisors.
Prime factorization of 1328249664:
26 × 36 × 73 × 83
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 83)See below for interesting mathematical facts about the number 1328249664 from the Numbermatics database.
Names of 1328249664
- Cardinal: 1328249664 can be written as One billion, three hundred twenty-eight million, two hundred forty-nine thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.328249664 × 109
Factors of 1328249664
Divisors of 1328249664
- Number of divisors d(n): 392
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 83 84 96 98 108 112 126 144 147 162 166 168 189 192 196 216 224 243 249 252 288 294 324 332 336 343 378 392 432 441 448 486 498 504 567 576 581 588 648 664 672 686 729 747 756 784 864 882 972 996 1008 1029 1134 1162 1176 1296 1323 1328 1344 1372 1458 1494 1512 1568 1701 1728 1743 1764 1944 1992 2016 2058 2241 2268 2324 2352 2592 2646 2656 2744 2916 2988 3024 3087 3136 3402 3486 3528 3888 3969 3984 4032 4067 4116 4482 4536 4648 4704 5103 5184 5229 5292 5312 5488 5832 5976 6048 6174 6723 6804 6972 7056 7776 7938 7968 8134 8232 8964 9072 9261 9296 9408 10206 10458 10584 10976 11664 11907 11952 12096 12201 12348 13446 13608 13944 14112 15552 15687 15876 15936 16268 16464 17928 18144 18522 18592 20169 20412 20916 21168 21952 23328 23814 23904 24402 24696 26892 27216 27783 27888 28224 28469 31374 31752 32536 32928 35721 35856 36288 36603 37044 37184 40338 40824 41832 42336 46656 47061 47628 47808 48804 49392 53784 54432 55566 55776 56938 60507 62748 63504 65072 65856 71442 71712 73206 74088 80676 81648 83349 83664 84672 85407 94122 95256 97608 98784 107568 108864 109809 111132 111552 113876 121014 125496 127008 130144 141183 142884 143424 146412 148176 161352 163296 166698 167328 170814 188244 190512 195216 197568 215136 219618 222264 227752 242028 250047 250992 254016 256221 260288 282366 285768 292824 296352 322704 326592 329427 333396 334656 341628 376488 381024 390432 423549 430272 439236 444528 455504 484056 500094 501984 512442 564732 571536 585648 592704 645408 658854 666792 683256 752976 762048 768663 780864 847098 878472 889056 911008 968112 988281 1000188 1003968 1024884 1129464 1143072 1171296 1290816 1317708 1333584 1366512 1505952 1537326 1694196 1756944 1778112 1822016 1936224 1976562 2000376 2049768 2258928 2286144 2305989 2342592 2635416 2667168 2733024 2964843 3011904 3074652 3388392 3513888 3872448 3953124 4000752 4099536 4517856 4611978 5270832 5334336 5466048 5929686 6149304 6776784 6917967 7027776 7906248 8001504 8199072 9035712 9223956 10541664 11859372 12298608 13553568 13835934 15812496 16003008 16398144 18447912 20753901 21083328 23718744 24597216 27107136 27671868 31624992 36895824 41507802 47437488 49194432 55343736 63249984 73791648 83015604 94874976 110687472 147583296 166031208 189749952 221374944 332062416 442749888 664124832 1328249664
- Sum of all divisors σ(n): 4664049600
- Sum of proper divisors (its aliquot sum) s(n): 3335799936
- 1328249664 is an abundant number, because the sum of its proper divisors (3335799936) is greater than itself. Its abundance is 2007550272
Bases of 1328249664
- Binary: 10011110010101101111011010000002
- Hexadecimal: 0x4F2B7B40
- Base-36: LYT000
Squares and roots of 1328249664
- 1328249664 squared (13282496642) is 1764247169916112896
- 1328249664 cubed (13282496643) is 2343360710654027862298066944
-
The
square root of 1328249664 is 36445.1596786185 -
The
cube root of 1328249664 is 1099.2418092067
Scales and comparisons
How big is 1328249664?- 1,328,249,664 seconds is equal to 42 years, 12 weeks, 1 day, 6 hours, 14 minutes, 24 seconds.
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To count from 1 to 1,328,249,664 would take you about eighty-four 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 1328249664 cubic inches would be around 91.6 feet tall.
Recreational maths with 1328249664
- 1328249664 backwards is 4669428231
- The number of decimal digits it has is: 10
- The sum of 1328249664's digits is 45
- More coming soon!
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