164138400
164,138,400 is an even composite number composed of five prime numbers multiplied together.
164138400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 164138400:
25 × 34 × 52 × 17 × 149
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 149)See below for interesting mathematical facts about the number 164138400 from the Numbermatics database.
Names of 164138400
- Cardinal: 164138400 can be written as One hundred sixty-four million, one hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.641384 × 108
Factors of 164138400
Divisors of 164138400
- Number of divisors d(n): 360
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 68 72 75 80 81 85 90 96 100 102 108 120 135 136 144 149 150 153 160 162 170 180 200 204 216 225 240 255 270 272 288 298 300 306 324 340 360 400 405 408 425 432 447 450 459 480 510 540 544 596 600 612 648 675 680 720 745 765 800 810 816 850 864 894 900 918 1020 1080 1192 1200 1224 1275 1296 1341 1350 1360 1377 1440 1490 1530 1620 1632 1700 1788 1800 1836 2025 2040 2160 2235 2295 2384 2400 2448 2533 2550 2592 2682 2700 2720 2754 2980 3060 3240 3400 3576 3600 3672 3725 3825 4023 4050 4080 4320 4470 4590 4768 4896 5066 5100 5364 5400 5508 5960 6120 6480 6705 6800 6885 7152 7200 7344 7450 7599 7650 8046 8100 8160 8940 9180 10132 10200 10728 10800 11016 11175 11475 11920 12069 12240 12665 12960 13410 13600 13770 14304 14688 14900 15198 15300 16092 16200 17880 18360 20115 20264 20400 21456 21600 22032 22350 22797 22950 23840 24138 24480 25330 26820 27540 29800 30396 30600 32184 32400 33525 34425 35760 36720 37995 40230 40528 40800 42912 44064 44700 45594 45900 48276 50660 53640 55080 59600 60345 60792 61200 63325 64368 64800 67050 68391 68850 71520 73440 75990 80460 81056 89400 91188 91800 96552 100575 101320 107280 110160 113985 119200 120690 121584 122400 126650 128736 134100 136782 137700 151980 160920 178800 182376 183600 189975 193104 201150 202640 205173 214560 220320 227970 241380 243168 253300 268200 273564 275400 301725 303960 321840 341955 357600 364752 367200 379950 386208 402300 405280 410346 455940 482760 506600 536400 547128 550800 569925 603450 607920 643680 683910 729504 759900 804600 820692 911880 965520 1013200 1025865 1072800 1094256 1101600 1139850 1206900 1215840 1367820 1519800 1609200 1641384 1709775 1823760 1931040 2026400 2051730 2188512 2279700 2413800 2735640 3039600 3218400 3282768 3419550 3647520 4103460 4559400 4827600 5129325 5471280 6079200 6565536 6839100 8206920 9118800 9655200 10258650 10942560 13678200 16413840 18237600 20517300 27356400 32827680 41034600 54712800 82069200 164138400
- Sum of all divisors σ(n): 638045100
- Sum of proper divisors (its aliquot sum) s(n): 473906700
- 164138400 is an abundant number, because the sum of its proper divisors (473906700) is greater than itself. Its abundance is 309768300
Bases of 164138400
- Binary: 10011100100010001101101000002
- Hexadecimal: 0x9C88DA0
- Base-36: 2PQ200
Squares and roots of 164138400
- 164138400 squared (1641384002) is 26941414354560000
- 164138400 cubed (1641384003) is 4422120645894511104000000
-
The
square root of 164138400 is 12811.6509474775 -
The
cube root of 164138400 is 547.5242999159
Scales and comparisons
How big is 164138400?- 164,138,400 seconds is equal to 5 years, 11 weeks, 2 days, 18 hours.
-
To count from 1 to 164,138,400 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 164138400 cubic inches would be around 45.6 feet tall.
Recreational maths with 164138400
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