164274400
164,274,400 is an even composite number composed of five prime numbers multiplied together.
164274400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 164274400:
25 × 52 × 17 × 47 × 257
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 47 × 257)See below for interesting mathematical facts about the number 164274400 from the Numbermatics database.
Names of 164274400
- Cardinal: 164274400 can be written as One hundred sixty-four million, two hundred seventy-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.642744 × 108
Factors of 164274400
Divisors of 164274400
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 47 50 68 80 85 94 100 136 160 170 188 200 235 257 272 340 376 400 425 470 514 544 680 752 799 800 850 940 1028 1175 1285 1360 1504 1598 1700 1880 2056 2350 2570 2720 3196 3400 3760 3995 4112 4369 4700 5140 6392 6425 6800 7520 7990 8224 8738 9400 10280 12079 12784 12850 13600 15980 17476 18800 19975 20560 21845 24158 25568 25700 31960 34952 37600 39950 41120 43690 48316 51400 60395 63920 69904 79900 87380 96632 102800 109225 120790 127840 139808 159800 174760 193264 205343 205600 218450 241580 301975 319600 349520 386528 410686 436900 483160 603950 639200 699040 821372 873800 966320 1026715 1207900 1642744 1747600 1932640 2053430 2415800 3285488 3495200 4106860 4831600 5133575 6570976 8213720 9663200 10267150 16427440 20534300 32854880 41068600 82137200 164274400
- Sum of all divisors σ(n): 435347136
- Sum of proper divisors (its aliquot sum) s(n): 271072736
- 164274400 is an abundant number, because the sum of its proper divisors (271072736) is greater than itself. Its abundance is 106798336
Bases of 164274400
- Binary: 10011100101010100000111000002
- Hexadecimal: 0x9CAA0E0
- Base-36: 2PSYXS
Squares and roots of 164274400
- 164274400 squared (1642744002) is 26986078495360000
- 164274400 cubed (1642744003) is 4433121853178166784000000
-
The
square root of 164274400 is 12816.9575172893 -
The
cube root of 164274400 is 547.6754787347
Scales and comparisons
How big is 164274400?- 164,274,400 seconds is equal to 5 years, 11 weeks, 4 days, 7 hours, 46 minutes, 40 seconds.
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To count from 1 to 164,274,400 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 164274400 cubic inches would be around 45.6 feet tall.
Recreational maths with 164274400
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