128971200
128,971,200 is an even composite number composed of five prime numbers multiplied together.
128971200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 128971200:
26 × 3 × 52 × 97 × 277
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 97 × 277)See below for interesting mathematical facts about the number 128971200 from the Numbermatics database.
Names of 128971200
- Cardinal: 128971200 can be written as One hundred twenty-eight million, nine hundred seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.289712 × 108
Factors of 128971200
Divisors of 128971200
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 97 100 120 150 160 192 194 200 240 277 291 300 320 388 400 480 485 554 582 600 776 800 831 960 970 1108 1164 1200 1385 1455 1552 1600 1662 1940 2216 2328 2400 2425 2770 2910 3104 3324 3880 4155 4432 4656 4800 4850 5540 5820 6208 6648 6925 7275 7760 8310 8864 9312 9700 11080 11640 13296 13850 14550 15520 16620 17728 18624 19400 20775 22160 23280 26592 26869 27700 29100 31040 33240 38800 41550 44320 46560 53184 53738 55400 58200 66480 77600 80607 83100 88640 93120 107476 110800 116400 132960 134345 155200 161214 166200 214952 221600 232800 265920 268690 322428 332400 403035 429904 443200 465600 537380 644856 664800 671725 806070 859808 1074760 1289712 1329600 1343450 1612140 1719616 2015175 2149520 2579424 2686900 3224280 4030350 4299040 5158848 5373800 6448560 8060700 8598080 10747600 12897120 16121400 21495200 25794240 32242800 42990400 64485600 128971200
- Sum of all divisors σ(n): 429038512
- Sum of proper divisors (its aliquot sum) s(n): 300067312
- 128971200 is an abundant number, because the sum of its proper divisors (300067312) is greater than itself. Its abundance is 171096112
Bases of 128971200
- Binary: 1111010111111110001110000002
- Hexadecimal: 0x7AFF1C0
- Base-36: 24SATC
Squares and roots of 128971200
- 128971200 squared (1289712002) is 16633570429440000
- 128971200 cubed (1289712003) is 2145251538569392128000000
-
The
square root of 128971200 is 11356.5487715239 -
The
cube root of 128971200 is 505.2398298805
Scales and comparisons
How big is 128971200?- 128,971,200 seconds is equal to 4 years, 5 weeks, 1 day, 17 hours, 20 minutes.
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To count from 1 to 128,971,200 would take you about six 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 128971200 cubic inches would be around 42.1 feet tall.
Recreational maths with 128971200
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