164406320
164,406,320 is an even composite number composed of five prime numbers multiplied together.
What does the number 164406320 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 120 divisors.
164406320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 164406320:
24 × 5 × 13 × 172 × 547
(2 × 2 × 2 × 2 × 5 × 13 × 17 × 17 × 547)See below for interesting mathematical facts about the number 164406320 from the Numbermatics database.
Names of 164406320
- Cardinal: 164406320 can be written as One hundred sixty-four million, four hundred six thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.6440632 × 108
Factors of 164406320
Divisors of 164406320
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 289 340 442 520 547 578 680 884 1040 1094 1105 1156 1360 1445 1768 2188 2210 2312 2735 2890 3536 3757 4376 4420 4624 5470 5780 7111 7514 8752 8840 9299 10940 11560 14222 15028 17680 18598 18785 21880 23120 28444 30056 35555 37196 37570 43760 46495 56888 60112 71110 74392 75140 92990 113776 120887 142220 148784 150280 158083 185980 241774 284440 300560 316166 371960 483548 568880 604435 632332 743920 790415 967096 1208870 1264664 1580830 1934192 2055079 2417740 2529328 3161660 4110158 4835480 6323320 8220316 9670960 10275395 12646640 16440632 20550790 32881264 41101580 82203160 164406320
- Sum of all divisors σ(n): 438086544
- Sum of proper divisors (its aliquot sum) s(n): 273680224
- 164406320 is an abundant number, because the sum of its proper divisors (273680224) is greater than itself. Its abundance is 109273904
Bases of 164406320
- Binary: 10011100110010100100001100002
- Hexadecimal: 0x9CCA430
- Base-36: 2PVSQ8
Squares and roots of 164406320
- 164406320 squared (1644063202) is 27029438055942400
- 164406320 cubed (1644063203) is 4443810442445444115968000
-
The
square root of 164406320 is 12822.1027916641 -
The
cube root of 164406320 is 547.8220424881
Scales and comparisons
How big is 164406320?- 164,406,320 seconds is equal to 5 years, 11 weeks, 5 days, 20 hours, 25 minutes, 20 seconds.
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To count from 1 to 164,406,320 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 164406320 cubic inches would be around 45.7 feet tall.
Recreational maths with 164406320
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