125138400
125,138,400 is an even composite number composed of five prime numbers multiplied together.
125138400 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 125138400:
25 × 3 × 52 × 23 × 2267
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 2267)See below for interesting mathematical facts about the number 125138400 from the Numbermatics database.
Names of 125138400
- Cardinal: 125138400 can be written as One hundred twenty-five million, one hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.251384 × 108
Factors of 125138400
Divisors of 125138400
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 69 75 80 92 96 100 115 120 138 150 160 184 200 230 240 276 300 345 368 400 460 480 552 575 600 690 736 800 920 1104 1150 1200 1380 1725 1840 2208 2267 2300 2400 2760 3450 3680 4534 4600 5520 6801 6900 9068 9200 11040 11335 13602 13800 18136 18400 22670 27204 27600 34005 36272 45340 52141 54408 55200 56675 68010 72544 90680 104282 108816 113350 136020 156423 170025 181360 208564 217632 226700 260705 272040 312846 340050 362720 417128 453400 521410 544080 625692 680100 782115 834256 906800 1042820 1088160 1251384 1303525 1360200 1564230 1668512 1813600 2085640 2502768 2607050 2720400 3128460 3910575 4171280 5005536 5214100 5440800 6256920 7821150 8342560 10428200 12513840 15642300 20856400 25027680 31284600 41712800 62569200 125138400
- Sum of all divisors σ(n): 425222784
- Sum of proper divisors (its aliquot sum) s(n): 300084384
- 125138400 is an abundant number, because the sum of its proper divisors (300084384) is greater than itself. Its abundance is 174945984
Bases of 125138400
- Binary: 1110111010101110101111000002
- Hexadecimal: 0x77575E0
- Base-36: 22I5EO
Squares and roots of 125138400
- 125138400 squared (1251384002) is 15659619154560000
- 125138400 cubed (1251384003) is 1959619685610991104000000
-
The
square root of 125138400 is 11186.5276113725 -
The
cube root of 125138400 is 500.1844652701
Scales and comparisons
How big is 125138400?- 125,138,400 seconds is equal to 3 years, 50 weeks, 6 days, 8 hours, 40 minutes.
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To count from 1 to 125,138,400 would take you about five 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 125138400 cubic inches would be around 41.7 feet tall.
Recreational maths with 125138400
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