138804960
138,804,960 is an even composite number composed of six prime numbers multiplied together.
138804960 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 138804960:
25 × 3 × 5 × 7 × 109 × 379
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 109 × 379)See below for interesting mathematical facts about the number 138804960 from the Numbermatics database.
Names of 138804960
- Cardinal: 138804960 can be written as One hundred thirty-eight million, eight hundred four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3880496 × 108
Factors of 138804960
Divisors of 138804960
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 109 112 120 140 160 168 210 218 224 240 280 327 336 379 420 436 480 545 560 654 672 758 763 840 872 1090 1120 1137 1308 1516 1526 1635 1680 1744 1895 2180 2274 2289 2616 2653 3032 3052 3270 3360 3488 3790 3815 4360 4548 4578 5232 5306 5685 6064 6104 6540 7580 7630 7959 8720 9096 9156 10464 10612 11370 11445 12128 12208 13080 13265 15160 15260 15918 17440 18192 18312 21224 22740 22890 24416 26160 26530 30320 30520 31836 36384 36624 39795 41311 42448 45480 45780 52320 53060 60640 61040 63672 73248 79590 82622 84896 90960 91560 106120 122080 123933 127344 159180 165244 181920 183120 206555 212240 247866 254688 289177 318360 330488 366240 413110 424480 495732 578354 619665 636720 660976 826220 867531 991464 1156708 1239330 1273440 1321952 1445885 1652440 1735062 1982928 2313416 2478660 2891770 3304880 3470124 3965856 4337655 4626832 4957320 5783540 6609760 6940248 8675310 9253664 9914640 11567080 13880496 17350620 19829280 23134160 27760992 34701240 46268320 69402480 138804960
- Sum of all divisors σ(n): 505612800
- Sum of proper divisors (its aliquot sum) s(n): 366807840
- 138804960 is an abundant number, because the sum of its proper divisors (366807840) is greater than itself. Its abundance is 228002880
Bases of 138804960
- Binary: 10000100010111111110111000002
- Hexadecimal: 0x845FEE0
- Base-36: 2AN2LC
Squares and roots of 138804960
- 138804960 squared (1388049602) is 19266816920601600
- 138804960 cubed (1388049603) is 2674329751991428263936000
-
The
square root of 138804960 is 11781.5516804875 -
The
cube root of 138804960 is 517.7677486779
Scales and comparisons
How big is 138804960?- 138,804,960 seconds is equal to 4 years, 21 weeks, 3 days, 12 hours, 56 minutes.
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To count from 1 to 138,804,960 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 138804960 cubic inches would be around 43.1 feet tall.
Recreational maths with 138804960
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