125130720
125,130,720 is an even composite number composed of six prime numbers multiplied together.
What does the number 125130720 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 192 divisors.
125130720 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 125130720:
25 × 3 × 5 × 11 × 13 × 1823
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 1823)See below for interesting mathematical facts about the number 125130720 from the Numbermatics database.
Names of 125130720
- Cardinal: 125130720 can be written as One hundred twenty-five million, one hundred thirty thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.2513072 × 108
Factors of 125130720
Divisors of 125130720
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 32 33 39 40 44 48 52 55 60 65 66 78 80 88 96 104 110 120 130 132 143 156 160 165 176 195 208 220 240 260 264 286 312 330 352 390 416 429 440 480 520 528 572 624 660 715 780 858 880 1040 1056 1144 1248 1320 1430 1560 1716 1760 1823 2080 2145 2288 2640 2860 3120 3432 3646 4290 4576 5280 5469 5720 6240 6864 7292 8580 9115 10938 11440 13728 14584 17160 18230 20053 21876 22880 23699 27345 29168 34320 36460 40106 43752 47398 54690 58336 60159 68640 71097 72920 80212 87504 94796 100265 109380 118495 120318 142194 145840 160424 175008 189592 200530 218760 236990 240636 260689 284388 291680 300795 320848 355485 379184 401060 437520 473980 481272 521378 568776 601590 641696 710970 758368 782067 802120 875040 947960 962544 1042756 1137552 1203180 1303445 1421940 1564134 1604240 1895920 1925088 2085512 2275104 2406360 2606890 2843880 3128268 3208480 3791840 3910335 4171024 4812720 5213780 5687760 6256536 7820670 8342048 9625440 10427560 11375520 12513072 15641340 20855120 25026144 31282680 41710240 62565360 125130720
- Sum of all divisors σ(n): 463325184
- Sum of proper divisors (its aliquot sum) s(n): 338194464
- 125130720 is an abundant number, because the sum of its proper divisors (338194464) is greater than itself. Its abundance is 213063744
Bases of 125130720
- Binary: 1110111010101010111111000002
- Hexadecimal: 0x77557E0
- Base-36: 22HZHC
Squares and roots of 125130720
- 125130720 squared (1251307202) is 15657697087718400
- 125130720 cubed (1251307203) is 1959258910128106549248000
-
The
square root of 125130720 is 11186.1843360459 -
The
cube root of 125130720 is 500.1742326123
Scales and comparisons
How big is 125130720?- 125,130,720 seconds is equal to 3 years, 50 weeks, 6 days, 6 hours, 32 minutes.
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To count from 1 to 125,130,720 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 125130720 cubic inches would be around 41.7 feet tall.
Recreational maths with 125130720
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