164191200
164,191,200 is an even composite number composed of five prime numbers multiplied together.
164191200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 164191200:
25 × 3 × 52 × 37 × 432
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 37 × 43 × 43)See below for interesting mathematical facts about the number 164191200 from the Numbermatics database.
Names of 164191200
- Cardinal: 164191200 can be written as One hundred sixty-four million, one hundred ninety-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.641912 × 108
Factors of 164191200
Divisors of 164191200
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 43 48 50 60 74 75 80 86 96 100 111 120 129 148 150 160 172 185 200 215 222 240 258 296 300 344 370 400 430 444 480 516 555 592 600 645 688 740 800 860 888 925 1032 1075 1110 1184 1200 1290 1376 1480 1591 1720 1776 1849 1850 2064 2150 2220 2400 2580 2775 2960 3182 3225 3440 3552 3698 3700 4128 4300 4440 4773 5160 5547 5550 5920 6364 6450 6880 7396 7400 7955 8600 8880 9245 9546 10320 11094 11100 12728 12900 14792 14800 15910 17200 17760 18490 19092 20640 22188 22200 23865 25456 25800 27735 29584 29600 31820 34400 36980 38184 39775 44376 44400 46225 47730 50912 51600 55470 59168 63640 68413 73960 76368 79550 88752 88800 92450 95460 103200 110940 119325 127280 136826 138675 147920 152736 159100 177504 184900 190920 205239 221880 238650 254560 273652 277350 295840 318200 342065 369800 381840 410478 443760 477300 547304 554700 636400 684130 739600 763680 820956 887520 954600 1026195 1094608 1109400 1272800 1368260 1479200 1641912 1710325 1909200 2052390 2189216 2218800 2736520 3283824 3420650 3818400 4104780 4437600 5130975 5473040 6567648 6841300 8209560 10261950 10946080 13682600 16419120 20523900 27365200 32838240 41047800 54730400 82095600 164191200
- Sum of all divisors σ(n): 561948408
- Sum of proper divisors (its aliquot sum) s(n): 397757208
- 164191200 is an abundant number, because the sum of its proper divisors (397757208) is greater than itself. Its abundance is 233566008
Bases of 164191200
- Binary: 10011100100101011011111000002
- Hexadecimal: 0x9C95BE0
- Base-36: 2PR6QO
Squares and roots of 164191200
- 164191200 squared (1641912002) is 26958750157440000
- 164191200 cubed (1641912003) is 4426389538850262528000000
-
The
square root of 164191200 is 12813.7114061461 -
The
cube root of 164191200 is 547.5830027825
Scales and comparisons
How big is 164191200?- 164,191,200 seconds is equal to 5 years, 11 weeks, 3 days, 8 hours, 40 minutes.
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To count from 1 to 164,191,200 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 164191200 cubic inches would be around 45.6 feet tall.
Recreational maths with 164191200
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