390968100
390,968,100 is an even composite number composed of five prime numbers multiplied together.
390968100 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 390968100:
22 × 33 × 52 × 89 × 1627
(2 × 2 × 3 × 3 × 3 × 5 × 5 × 89 × 1627)See below for interesting mathematical facts about the number 390968100 from the Numbermatics database.
Names of 390968100
- Cardinal: 390968100 can be written as Three hundred ninety million, nine hundred sixty-eight thousand, one hundred.
Scientific notation
- Scientific notation: 3.909681 × 108
Factors of 390968100
Divisors of 390968100
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 89 90 100 108 135 150 178 180 225 267 270 300 356 445 450 534 540 675 801 890 900 1068 1335 1350 1602 1627 1780 2225 2403 2670 2700 3204 3254 4005 4450 4806 4881 5340 6508 6675 8010 8135 8900 9612 9762 12015 13350 14643 16020 16270 19524 20025 24030 24405 26700 29286 32540 40050 40675 43929 48060 48810 58572 60075 73215 80100 81350 87858 97620 120150 122025 144803 146430 162700 175716 219645 240300 244050 289606 292860 366075 434409 439290 488100 579212 724015 732150 868818 878580 1098225 1303227 1448030 1464300 1737636 2172045 2196450 2606454 2896060 3620075 3909681 4344090 4392900 5212908 6516135 7240150 7819362 8688180 10860225 13032270 14480300 15638724 19548405 21720450 26064540 32580675 39096810 43440900 65161350 78193620 97742025 130322700 195484050 390968100
- Sum of all divisors σ(n): 1271793600
- Sum of proper divisors (its aliquot sum) s(n): 880825500
- 390968100 is an abundant number, because the sum of its proper divisors (880825500) is greater than itself. Its abundance is 489857400
Bases of 390968100
- Binary: 101110100110110110011001001002
- Hexadecimal: 0x174DB324
- Base-36: 6GRSX0
Squares and roots of 390968100
- 390968100 squared (3909681002) is 152856055217610000
- 390968100 cubed (3909681003) is 59761841481924068241000000
-
The
square root of 390968100 is 19772.9132906611 -
The
cube root of 390968100 is 731.2183944263
Scales and comparisons
How big is 390968100?- 390,968,100 seconds is equal to 12 years, 22 weeks, 3 days, 2 hours, 15 minutes.
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To count from 1 to 390,968,100 would take you about eighteen 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 390968100 cubic inches would be around 60.9 feet tall.
Recreational maths with 390968100
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