164320128
164,320,128 is an even composite number composed of five prime numbers multiplied together.
164320128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 164320128:
27 × 32 × 72 × 41 × 71
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 41 × 71)See below for interesting mathematical facts about the number 164320128 from the Numbermatics database.
Names of 164320128
- Cardinal: 164320128 can be written as One hundred sixty-four million, three hundred twenty thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.64320128 × 108
Factors of 164320128
Divisors of 164320128
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 41 42 48 49 56 63 64 71 72 82 84 96 98 112 123 126 128 142 144 147 164 168 192 196 213 224 246 252 284 287 288 294 328 336 369 384 392 426 441 448 492 497 504 568 574 576 588 639 656 672 738 784 852 861 882 896 984 994 1008 1136 1148 1152 1176 1278 1312 1344 1476 1491 1568 1704 1722 1764 1968 1988 2009 2016 2272 2296 2352 2556 2583 2624 2688 2911 2952 2982 3136 3408 3444 3479 3528 3936 3976 4018 4032 4473 4544 4592 4704 5112 5166 5248 5822 5904 5964 6027 6272 6816 6888 6958 7056 7872 7952 8036 8064 8733 8946 9088 9184 9408 10224 10332 10437 11644 11808 11928 12054 13632 13776 13916 14112 15744 15904 16072 17466 17892 18081 18368 18816 20377 20448 20664 20874 23288 23616 23856 24108 26199 27264 27552 27832 28224 31311 31808 32144 34932 35784 36162 36736 40754 40896 41328 41748 46576 47232 47712 48216 52398 55104 55664 56448 61131 62622 63616 64288 69864 71568 72324 81508 81792 82656 83496 93152 95424 96432 104796 110208 111328 122262 125244 128576 139728 142639 143136 144648 163016 165312 166992 183393 186304 190848 192864 209592 222656 244524 250488 257152 279456 285278 286272 289296 326032 330624 333984 366786 372608 385728 419184 427917 445312 489048 500976 558912 570556 572544 578592 652064 667968 733572 771456 838368 855834 978096 1001952 1117824 1141112 1157184 1283751 1304128 1335936 1467144 1676736 1711668 1956192 2003904 2282224 2314368 2567502 2608256 2934288 3353472 3423336 3912384 4007808 4564448 5135004 5868576 6846672 7824768 9128896 10270008 11737152 13693344 18257792 20540016 23474304 27386688 41080032 54773376 82160064 164320128
- Sum of all divisors σ(n): 571399920
- Sum of proper divisors (its aliquot sum) s(n): 407079792
- 164320128 is an abundant number, because the sum of its proper divisors (407079792) is greater than itself. Its abundance is 242759664
Bases of 164320128
- Binary: 10011100101101010011100000002
- Hexadecimal: 0x9CB5380
- Base-36: 2PTY80
Squares and roots of 164320128
- 164320128 squared (1643201282) is 27001104465936384
- 164320128 cubed (1643201283) is 4436824941984038258737152
-
The
square root of 164320128 is 12818.7412798605 -
The
cube root of 164320128 is 547.7262916447
Scales and comparisons
How big is 164320128?- 164,320,128 seconds is equal to 5 years, 11 weeks, 4 days, 20 hours, 28 minutes, 48 seconds.
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To count from 1 to 164,320,128 would take you about seven 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 164320128 cubic inches would be around 45.6 feet tall.
Recreational maths with 164320128
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