138358080
138,358,080 is an even composite number composed of five prime numbers multiplied together.
138358080 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 138358080:
26 × 32 × 5 × 7 × 6863
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 6863)See below for interesting mathematical facts about the number 138358080 from the Numbermatics database.
Names of 138358080
- Cardinal: 138358080 can be written as One hundred thirty-eight million, three hundred fifty-eight thousand and eighty.
Scientific notation
- Scientific notation: 1.3835808 × 108
Factors of 138358080
Divisors of 138358080
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 64 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 192 210 224 240 252 280 288 315 320 336 360 420 448 480 504 560 576 630 672 720 840 960 1008 1120 1260 1344 1440 1680 2016 2240 2520 2880 3360 4032 5040 6720 6863 10080 13726 20160 20589 27452 34315 41178 48041 54904 61767 68630 82356 96082 102945 109808 123534 137260 144123 164712 192164 205890 219616 240205 247068 274520 288246 308835 329424 384328 411780 432369 439232 480410 494136 549040 576492 617670 658848 720615 768656 823560 864738 960820 988272 1098080 1152984 1235340 1317696 1441230 1537312 1647120 1729476 1921640 1976544 2161845 2196160 2305968 2470680 2882460 3074624 3294240 3458952 3843280 3953088 4323690 4611936 4941360 5764920 6588480 6917904 7686560 8647380 9223872 9882720 11529840 13835808 15373120 17294760 19765440 23059680 27671616 34589520 46119360 69179040 138358080
- Sum of all divisors σ(n): 543958272
- Sum of proper divisors (its aliquot sum) s(n): 405600192
- 138358080 is an abundant number, because the sum of its proper divisors (405600192) is greater than itself. Its abundance is 267242112
Bases of 138358080
- Binary: 10000011111100101101010000002
- Hexadecimal: 0x83F2D40
- Base-36: 2ADHS0
Squares and roots of 138358080
- 138358080 squared (1383580802) is 19142958301286400
- 138358080 cubed (1383580803) is 2648582956086047834112000
-
The
square root of 138358080 is 11762.5711475001 -
The
cube root of 138358080 is 517.2115034147
Scales and comparisons
How big is 138358080?- 138,358,080 seconds is equal to 4 years, 20 weeks, 5 days, 8 hours, 48 minutes.
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To count from 1 to 138,358,080 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 138358080 cubic inches would be around 43.1 feet tall.
Recreational maths with 138358080
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