164475216
164,475,216 is an even composite number composed of four prime numbers multiplied together.
What does the number 164475216 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 60 divisors.
164475216 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of sixty divisors.
Prime factorization of 164475216:
24 × 32 × 131 × 8719
(2 × 2 × 2 × 2 × 3 × 3 × 131 × 8719)See below for interesting mathematical facts about the number 164475216 from the Numbermatics database.
Names of 164475216
- Cardinal: 164475216 can be written as One hundred sixty-four million, four hundred seventy-five thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.64475216 × 108
Factors of 164475216
Divisors of 164475216
- Number of divisors d(n): 60
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 36 48 72 131 144 262 393 524 786 1048 1179 1572 2096 2358 3144 4716 6288 8719 9432 17438 18864 26157 34876 52314 69752 78471 104628 139504 156942 209256 313884 418512 627768 1142189 1255536 2284378 3426567 4568756 6853134 9137512 10279701 13706268 18275024 20559402 27412536 41118804 54825072 82237608 164475216
- Sum of all divisors σ(n): 463869120
- Sum of proper divisors (its aliquot sum) s(n): 299393904
- 164475216 is an abundant number, because the sum of its proper divisors (299393904) is greater than itself. Its abundance is 134918688
Bases of 164475216
- Binary: 10011100110110110001010100002
- Hexadecimal: 0x9CDB150
- Base-36: 2PX9W0
Squares and roots of 164475216
- 164475216 squared (1644752162) is 27052096678246656
- 164475216 cubed (1644752163) is 4449399444407501246877696
-
The
square root of 164475216 is 12824.7891210733 -
The
cube root of 164475216 is 547.8985551115
Scales and comparisons
How big is 164475216?- 164,475,216 seconds is equal to 5 years, 11 weeks, 6 days, 15 hours, 33 minutes, 36 seconds.
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To count from 1 to 164,475,216 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 164475216 cubic inches would be around 45.7 feet tall.
Recreational maths with 164475216
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