138748800
138,748,800 is an even composite number composed of five prime numbers multiplied together.
138748800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 138748800:
27 × 3 × 52 × 97 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 97 × 149)See below for interesting mathematical facts about the number 138748800 from the Numbermatics database.
Names of 138748800
- Cardinal: 138748800 can be written as One hundred thirty-eight million, seven hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.387488 × 108
Factors of 138748800
Divisors of 138748800
- Number of divisors d(n): 192
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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 97 100 120 128 149 150 160 192 194 200 240 291 298 300 320 384 388 400 447 480 485 582 596 600 640 745 776 800 894 960 970 1164 1192 1200 1455 1490 1552 1600 1788 1920 1940 2235 2328 2384 2400 2425 2910 2980 3104 3200 3576 3725 3880 4470 4656 4768 4800 4850 5820 5960 6208 7152 7275 7450 7760 8940 9312 9536 9600 9700 11175 11640 11920 12416 14304 14453 14550 14900 15520 17880 18624 19072 19400 22350 23280 23840 28608 28906 29100 29800 31040 35760 37248 38800 43359 44700 46560 47680 57216 57812 58200 59600 62080 71520 72265 77600 86718 89400 93120 95360 115624 116400 119200 143040 144530 155200 173436 178800 186240 216795 231248 232800 238400 286080 289060 310400 346872 357600 361325 433590 462496 465600 476800 578120 693744 715200 722650 867180 924992 931200 1083975 1156240 1387488 1430400 1445300 1734360 1849984 2167950 2312480 2774976 2890600 3468720 4335900 4624960 5549952 5781200 6937440 8671800 9249920 11562400 13874880 17343600 23124800 27749760 34687200 46249600 69374400 138748800
- Sum of all divisors σ(n): 464814000
- Sum of proper divisors (its aliquot sum) s(n): 326065200
- 138748800 is an abundant number, because the sum of its proper divisors (326065200) is greater than itself. Its abundance is 187316400
Bases of 138748800
- Binary: 10000100010100100011100000002
- Hexadecimal: 0x8452380
- Base-36: 2ALV9C
Squares and roots of 138748800
- 138748800 squared (1387488002) is 19251229501440000
- 138748800 cubed (1387488003) is 2671084991849398272000000
-
The
square root of 138748800 is 11779.1680521163 -
The
cube root of 138748800 is 517.6979102533
Scales and comparisons
How big is 138748800?- 138,748,800 seconds is equal to 4 years, 21 weeks, 2 days, 21 hours, 20 minutes.
-
To count from 1 to 138,748,800 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 138748800 cubic inches would be around 43.1 feet tall.
Recreational maths with 138748800
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