164389824
164,389,824 is an even composite number composed of four prime numbers multiplied together.
164389824 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty divisors.
Prime factorization of 164389824:
26 × 34 × 19 × 1669
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 19 × 1669)See below for interesting mathematical facts about the number 164389824 from the Numbermatics database.
Names of 164389824
- Cardinal: 164389824 can be written as One hundred sixty-four million, three hundred eighty-nine thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.64389824 × 108
Factors of 164389824
Divisors of 164389824
- Number of divisors d(n): 140
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 144 152 162 171 192 216 228 288 304 324 342 432 456 513 576 608 648 684 864 912 1026 1216 1296 1368 1539 1669 1728 1824 2052 2592 2736 3078 3338 3648 4104 5007 5184 5472 6156 6676 8208 10014 10944 12312 13352 15021 16416 20028 24624 26704 30042 31711 32832 40056 45063 49248 53408 60084 63422 80112 90126 95133 98496 106816 120168 126844 135189 160224 180252 190266 240336 253688 270378 285399 320448 360504 380532 480672 507376 540756 570798 721008 761064 856197 961344 1014752 1081512 1141596 1442016 1522128 1712394 2029504 2163024 2283192 2568591 2884032 3044256 3424788 4326048 4566384 5137182 6088512 6849576 8652096 9132768 10274364 13699152 18265536 20548728 27398304 41097456 54796608 82194912 164389824
- Sum of all divisors σ(n): 513257800
- Sum of proper divisors (its aliquot sum) s(n): 348867976
- 164389824 is an abundant number, because the sum of its proper divisors (348867976) is greater than itself. Its abundance is 184478152
Bases of 164389824
- Binary: 10011100110001100011110000002
- Hexadecimal: 0x9CC63C0
- Base-36: 2PVG00
Squares and roots of 164389824
- 164389824 squared (1643898242) is 27024014234750976
- 164389824 cubed (1643898243) is 4442472943824207628468224
-
The
square root of 164389824 is 12821.4595113037 -
The
cube root of 164389824 is 547.8037196429
Scales and comparisons
How big is 164389824?- 164,389,824 seconds is equal to 5 years, 11 weeks, 5 days, 15 hours, 50 minutes, 24 seconds.
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To count from 1 to 164,389,824 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 164389824 cubic inches would be around 45.7 feet tall.
Recreational maths with 164389824
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