138849480
138,849,480 is an even composite number composed of six prime numbers multiplied together.
What does the number 138849480 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 192 divisors.
138849480 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 138849480:
23 × 32 × 5 × 7 × 11 × 5009
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 5009)See below for interesting mathematical facts about the number 138849480 from the Numbermatics database.
Names of 138849480
- Cardinal: 138849480 can be written as One hundred thirty-eight million, eight hundred forty-nine thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3884948 × 108
Factors of 138849480
Divisors of 138849480
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 18 20 21 22 24 28 30 33 35 36 40 42 44 45 55 56 60 63 66 70 72 77 84 88 90 99 105 110 120 126 132 140 154 165 168 180 198 210 220 231 252 264 280 308 315 330 360 385 396 420 440 462 495 504 616 630 660 693 770 792 840 924 990 1155 1260 1320 1386 1540 1848 1980 2310 2520 2772 3080 3465 3960 4620 5009 5544 6930 9240 10018 13860 15027 20036 25045 27720 30054 35063 40072 45081 50090 55099 60108 70126 75135 90162 100180 105189 110198 120216 140252 150270 165297 175315 180324 200360 210378 220396 225405 275495 280504 300540 315567 330594 350630 360648 385693 420756 440792 450810 495891 525945 550990 601080 631134 661188 701260 771386 826485 841512 901620 991782 1051890 1101980 1157079 1262268 1322376 1402520 1542772 1577835 1652970 1803240 1928465 1983564 2103780 2203960 2314158 2479455 2524536 3085544 3155670 3305940 3471237 3856930 3967128 4207560 4628316 4958910 5785395 6311340 6611880 6942474 7713860 9256632 9917820 11570790 12622680 13884948 15427720 17356185 19835640 23141580 27769896 34712370 46283160 69424740 138849480
- Sum of all divisors σ(n): 562723200
- Sum of proper divisors (its aliquot sum) s(n): 423873720
- 138849480 is an abundant number, because the sum of its proper divisors (423873720) is greater than itself. Its abundance is 285024240
Bases of 138849480
- Binary: 10000100011010101100110010002
- Hexadecimal: 0x846ACC8
- Base-36: 2AO0Y0
Squares and roots of 138849480
- 138849480 squared (1388494802) is 19279178096270400
- 138849480 cubed (1388494803) is 2676903853494534979392000
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The
square root of 138849480 is 11783.4409236013 -
The
cube root of 138849480 is 517.8230986599
Scales and comparisons
How big is 138849480?- 138,849,480 seconds is equal to 4 years, 21 weeks, 4 days, 1 hour, 18 minutes.
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To count from 1 to 138,849,480 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 138849480 cubic inches would be around 43.2 feet tall.
Recreational maths with 138849480
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