138438560
138,438,560 is an even composite number composed of six prime numbers multiplied together.
138438560 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 138438560:
25 × 5 × 13 × 19 × 31 × 113
(2 × 2 × 2 × 2 × 2 × 5 × 13 × 19 × 31 × 113)See below for interesting mathematical facts about the number 138438560 from the Numbermatics database.
Names of 138438560
- Cardinal: 138438560 can be written as One hundred thirty-eight million, four hundred thirty-eight thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.3843856 × 108
Factors of 138438560
Divisors of 138438560
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 26 31 32 38 40 52 62 65 76 80 95 104 113 124 130 152 155 160 190 208 226 247 248 260 304 310 380 403 416 452 494 496 520 565 589 608 620 760 806 904 988 992 1040 1130 1178 1235 1240 1469 1520 1612 1808 1976 2015 2080 2147 2260 2356 2470 2480 2938 2945 3040 3224 3503 3616 3952 4030 4294 4520 4712 4940 4960 5876 5890 6448 7006 7345 7657 7904 8060 8588 9040 9424 9880 10735 11752 11780 12896 14012 14690 15314 16120 17176 17515 18080 18848 19760 21470 23504 23560 27911 28024 29380 30628 32240 34352 35030 38285 39520 42940 45539 47008 47120 55822 56048 58760 61256 64480 66557 68704 70060 76570 85880 91078 94240 111644 112096 117520 122512 133114 139555 140120 153140 171760 182156 223288 227695 235040 245024 266228 279110 280240 306280 332785 343520 364312 446576 455390 532456 558220 560480 612560 665570 728624 865241 893152 910780 1064912 1116440 1225120 1331140 1457248 1730482 1821560 2129824 2232880 2662280 3460964 3643120 4326205 4465760 5324560 6921928 7286240 8652410 10649120 13843856 17304820 27687712 34609640 69219280 138438560
- Sum of all divisors σ(n): 386104320
- Sum of proper divisors (its aliquot sum) s(n): 247665760
- 138438560 is an abundant number, because the sum of its proper divisors (247665760) is greater than itself. Its abundance is 109227200
Bases of 138438560
- Binary: 10000100000001100111101000002
- Hexadecimal: 0x84067A0
- Base-36: 2AF7VK
Squares and roots of 138438560
- 138438560 squared (1384385602) is 19165234894873600
- 138438560 cubed (1384385603) is 2653207520908052566016000
-
The
square root of 138438560 is 11765.9916709133 -
The
cube root of 138438560 is 517.3117676795
Scales and comparisons
How big is 138438560?- 138,438,560 seconds is equal to 4 years, 20 weeks, 6 days, 7 hours, 9 minutes, 20 seconds.
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To count from 1 to 138,438,560 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 138438560 cubic inches would be around 43.1 feet tall.
Recreational maths with 138438560
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