164408400
164,408,400 is an even composite number composed of five prime numbers multiplied together.
164408400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 164408400:
24 × 33 × 52 × 13 × 1171
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 1171)See below for interesting mathematical facts about the number 164408400 from the Numbermatics database.
Names of 164408400
- Cardinal: 164408400 can be written as One hundred sixty-four million, four hundred eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.644084 × 108
Factors of 164408400
Divisors of 164408400
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 36 39 40 45 48 50 52 54 60 65 72 75 78 80 90 100 104 108 117 120 130 135 144 150 156 180 195 200 208 216 225 234 240 260 270 300 312 325 351 360 390 400 432 450 468 520 540 585 600 624 650 675 702 720 780 900 936 975 1040 1080 1170 1171 1200 1300 1350 1404 1560 1755 1800 1872 1950 2160 2340 2342 2600 2700 2808 2925 3120 3510 3513 3600 3900 4680 4684 5200 5400 5616 5850 5855 7020 7026 7800 8775 9360 9368 10539 10800 11700 11710 14040 14052 15223 15600 17550 17565 18736 21078 23400 23420 28080 28104 29275 30446 31617 35100 35130 42156 45669 46800 46840 52695 56208 58550 60892 63234 70200 70260 76115 84312 87825 91338 93680 105390 117100 121784 126468 137007 140400 140520 152230 158085 168624 175650 182676 210780 228345 234200 243568 252936 263475 274014 281040 304460 316170 351300 365352 380575 411021 421560 456690 468400 505872 526950 548028 608920 632340 685035 702600 730704 761150 790425 822042 843120 913380 1053900 1096056 1141725 1217840 1264680 1370070 1405200 1522300 1580850 1644084 1826760 2055105 2107800 2192112 2283450 2529360 2740140 3044600 3161700 3288168 3425175 3653520 4110210 4215600 4566900 5480280 6089200 6323400 6576336 6850350 8220420 9133800 10275525 10960560 12646800 13700700 16440840 18267600 20551050 27401400 32881680 41102100 54802800 82204200 164408400
- Sum of all divisors σ(n): 630723520
- Sum of proper divisors (its aliquot sum) s(n): 466315120
- 164408400 is an abundant number, because the sum of its proper divisors (466315120) is greater than itself. Its abundance is 301906720
Bases of 164408400
- Binary: 10011100110010101100010100002
- Hexadecimal: 0x9CCAC50
- Base-36: 2PVUC0
Squares and roots of 164408400
- 164408400 squared (1644084002) is 27030121990560000
- 164408400 cubed (1644084003) is 4443979108272784704000000
-
The
square root of 164408400 is 12822.1839013485 -
The
cube root of 164408400 is 547.8243527501
Scales and comparisons
How big is 164408400?- 164,408,400 seconds is equal to 5 years, 11 weeks, 5 days, 21 hours.
-
To count from 1 to 164,408,400 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 164408400 cubic inches would be around 45.7 feet tall.
Recreational maths with 164408400
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