164123820
164,123,820 is an even composite number composed of six prime numbers multiplied together.
164123820 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 164123820:
22 × 34 × 5 × 7 × 41 × 353
(2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 41 × 353)See below for interesting mathematical facts about the number 164123820 from the Numbermatics database.
Names of 164123820
- Cardinal: 164123820 can be written as One hundred sixty-four million, one hundred twenty-three thousand, eight hundred twenty.
Scientific notation
- Scientific notation: 1.6412382 × 108
Factors of 164123820
Divisors of 164123820
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 41 42 45 54 60 63 70 81 82 84 90 105 108 123 126 135 140 162 164 180 189 205 210 246 252 270 287 315 324 353 369 378 405 410 420 492 540 567 574 615 630 706 738 756 810 820 861 945 1059 1107 1134 1148 1230 1260 1412 1435 1476 1620 1722 1765 1845 1890 2118 2214 2268 2460 2471 2583 2835 2870 3177 3321 3444 3530 3690 3780 4236 4305 4428 4942 5166 5295 5535 5670 5740 6354 6642 7060 7380 7413 7749 8610 9531 9884 10332 10590 11070 11340 12355 12708 12915 13284 14473 14826 15498 15885 16605 17220 19062 21180 22140 22239 23247 24710 25830 28593 28946 29652 30996 31770 33210 37065 38124 38745 43419 44478 46494 47655 49420 51660 57186 57892 63540 66420 66717 72365 74130 77490 86838 88956 92988 95310 101311 111195 114372 116235 130257 133434 142965 144730 148260 154980 173676 190620 200151 202622 217095 222390 232470 260514 266868 285930 289460 303933 333585 390771 400302 405244 434190 444780 464940 506555 521028 571860 607866 651285 667170 781542 800604 868380 911799 1000755 1013110 1172313 1215732 1302570 1334340 1519665 1563084 1823598 1953855 2001510 2026220 2344626 2605140 2735397 3039330 3647196 3907710 4003020 4558995 4689252 5470794 5861565 6078660 7815420 8206191 9117990 10941588 11723130 13676985 16412382 18235980 23446260 27353970 32824764 41030955 54707940 82061910 164123820
- Sum of all divisors σ(n): 604473408
- Sum of proper divisors (its aliquot sum) s(n): 440349588
- 164123820 is an abundant number, because the sum of its proper divisors (440349588) is greater than itself. Its abundance is 276225768
Bases of 164123820
- Binary: 10011100100001010100101011002
- Hexadecimal: 0x9C854AC
- Base-36: 2PPQR0
Squares and roots of 164123820
- 164123820 squared (1641238202) is 26936628291392400
- 164123820 cubed (1641238203) is 4420942333103393806968000
-
The
square root of 164123820 is 12811.0819215241 -
The
cube root of 164123820 is 547.5080877019
Scales and comparisons
How big is 164123820?- 164,123,820 seconds is equal to 5 years, 11 weeks, 2 days, 13 hours, 57 minutes.
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To count from 1 to 164,123,820 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 164123820 cubic inches would be around 45.6 feet tall.
Recreational maths with 164123820
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