138648120
138,648,120 is an even composite number composed of seven prime numbers multiplied together.
138648120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138648120:
23 × 3 × 5 × 13 × 31 × 47 × 61
(2 × 2 × 2 × 3 × 5 × 13 × 31 × 47 × 61)See below for interesting mathematical facts about the number 138648120 from the Numbermatics database.
Names of 138648120
- Cardinal: 138648120 can be written as One hundred thirty-eight million, six hundred forty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3864812 × 108
Factors of 138648120
Divisors of 138648120
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 47 52 60 61 62 65 78 93 94 104 120 122 124 130 141 155 156 183 186 188 195 235 244 248 260 282 305 310 312 366 372 376 390 403 465 470 488 520 564 610 611 620 705 732 744 780 793 806 915 930 940 1128 1209 1220 1222 1240 1410 1457 1464 1560 1586 1612 1830 1833 1860 1880 1891 2015 2379 2418 2440 2444 2820 2867 2914 3055 3172 3224 3660 3666 3720 3782 3965 4030 4371 4758 4836 4888 5640 5673 5734 5828 6045 6110 6344 7285 7320 7332 7564 7930 8060 8601 8742 9165 9455 9516 9672 11346 11468 11656 11895 12090 12220 14335 14570 14664 15128 15860 16120 17202 17484 18330 18910 18941 19032 21855 22692 22936 23790 24180 24440 24583 28365 28670 29140 31720 34404 34968 36660 37271 37820 37882 43005 43710 45384 47580 48360 49166 56730 56823 57340 58280 68808 73320 73749 74542 75640 75764 86010 87420 88877 94705 95160 98332 111813 113460 113646 114680 122915 147498 149084 151528 172020 174840 177754 186355 189410 196664 223626 226920 227292 245830 266631 284115 294996 298168 344040 355508 368745 372710 378820 444385 447252 454584 491660 533262 559065 568230 589992 711016 737490 745420 757640 888770 894504 983320 1066524 1118130 1136460 1155401 1333155 1474980 1490840 1777540 2133048 2236260 2272920 2310802 2666310 2949960 3466203 3555080 4472520 4621604 5332620 5777005 6932406 9243208 10665240 11554010 13864812 17331015 23108020 27729624 34662030 46216040 69324060 138648120
- Sum of all divisors σ(n): 479969280
- Sum of proper divisors (its aliquot sum) s(n): 341321160
- 138648120 is an abundant number, because the sum of its proper divisors (341321160) is greater than itself. Its abundance is 202673040
Bases of 138648120
- Binary: 10000100001110011010001110002
- Hexadecimal: 0x8439A38
- Base-36: 2AJPKO
Squares and roots of 138648120
- 138648120 squared (1386481202) is 19223301179534400
- 138648120 cubed (1386481203) is 2665274568736227035328000
-
The
square root of 138648120 is 11774.8936300927 -
The
cube root of 138648120 is 517.5726612715
Scales and comparisons
How big is 138648120?- 138,648,120 seconds is equal to 4 years, 21 weeks, 1 day, 17 hours, 22 minutes.
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To count from 1 to 138,648,120 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 138648120 cubic inches would be around 43.1 feet tall.
Recreational maths with 138648120
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The information we have on file for 138648120 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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