138450480
138,450,480 is an even composite number composed of six prime numbers multiplied together.
138450480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 138450480:
24 × 3 × 5 × 72 × 61 × 193
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 61 × 193)See below for interesting mathematical facts about the number 138450480 from the Numbermatics database.
Names of 138450480
- Cardinal: 138450480 can be written as One hundred thirty-eight million, four hundred fifty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3845048 × 108
Factors of 138450480
Divisors of 138450480
- Number of divisors d(n): 240
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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 35 40 42 48 49 56 60 61 70 80 84 98 105 112 120 122 140 147 168 183 193 196 210 240 244 245 280 294 305 336 366 386 392 420 427 488 490 560 579 588 610 732 735 772 784 840 854 915 965 976 980 1158 1176 1220 1281 1351 1464 1470 1544 1680 1708 1830 1930 1960 2135 2316 2352 2440 2562 2702 2895 2928 2940 2989 3088 3416 3660 3860 3920 4053 4270 4632 4880 5124 5404 5790 5880 5978 6405 6755 6832 7320 7720 8106 8540 8967 9264 9457 10248 10808 11580 11760 11773 11956 12810 13510 14640 14945 15440 16212 17080 17934 18914 20265 20496 21616 23160 23546 23912 25620 27020 28371 29890 32424 34160 35319 35868 37828 40530 44835 46320 47092 47285 47824 51240 54040 56742 58865 59780 64848 70638 71736 75656 81060 82411 89670 94184 94570 102480 108080 113484 117730 119560 141276 141855 143472 151312 162120 164822 176595 179340 188368 189140 226968 235460 239120 247233 282552 283710 324240 329644 353190 358680 378280 412055 453936 470920 494466 565104 567420 576877 659288 706380 717360 756560 824110 941840 988932 1134840 1153754 1236165 1318576 1412760 1648220 1730631 1977864 2269680 2307508 2472330 2825520 2884385 3296440 3461262 3955728 4615016 4944660 5768770 6592880 6922524 8653155 9230032 9889320 11537540 13845048 17306310 19778640 23075080 27690096 34612620 46150160 69225240 138450480
- Sum of all divisors σ(n): 510083424
- Sum of proper divisors (its aliquot sum) s(n): 371632944
- 138450480 is an abundant number, because the sum of its proper divisors (371632944) is greater than itself. Its abundance is 233182464
Bases of 138450480
- Binary: 10000100000010010110001100002
- Hexadecimal: 0x8409630
- Base-36: 2AFH2O
Squares and roots of 138450480
- 138450480 squared (1384504802) is 19168535412230400
- 138450480 cubed (1384504803) is 2653892928720296750592000
-
The
square root of 138450480 is 11766.4982046483 -
The
cube root of 138450480 is 517.3266146493
Scales and comparisons
How big is 138450480?- 138,450,480 seconds is equal to 4 years, 20 weeks, 6 days, 10 hours, 28 minutes.
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To count from 1 to 138,450,480 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 138450480 cubic inches would be around 43.1 feet tall.
Recreational maths with 138450480
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