138417120
138,417,120 is an even composite number composed of four prime numbers multiplied together.
138417120 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138417120:
25 × 33 × 5 × 1792
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 179 × 179)See below for interesting mathematical facts about the number 138417120 from the Numbermatics database.
Names of 138417120
- Cardinal: 138417120 can be written as One hundred thirty-eight million, four hundred seventeen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3841712 × 108
Factors of 138417120
Divisors of 138417120
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 179 180 216 240 270 288 358 360 432 480 537 540 716 720 864 895 1074 1080 1432 1440 1611 1790 2148 2160 2685 2864 3222 3580 4296 4320 4833 5370 5728 6444 7160 8055 8592 9666 10740 12888 14320 16110 17184 19332 21480 24165 25776 28640 32041 32220 38664 42960 48330 51552 64082 64440 77328 85920 96123 96660 128164 128880 154656 160205 192246 193320 256328 257760 288369 320410 384492 386640 480615 512656 576738 640820 768984 773280 865107 961230 1025312 1153476 1281640 1441845 1537968 1730214 1922460 2306952 2563280 2883690 3075936 3460428 3844920 4325535 4613904 5126560 5767380 6920856 7689840 8651070 9227808 11534760 13841712 15379680 17302140 23069520 27683424 34604280 46139040 69208560 138417120
- Sum of all divisors σ(n): 487181520
- Sum of proper divisors (its aliquot sum) s(n): 348764400
- 138417120 is an abundant number, because the sum of its proper divisors (348764400) is greater than itself. Its abundance is 210347280
Bases of 138417120
- Binary: 10000100000000010011111000002
- Hexadecimal: 0x84013E0
- Base-36: 2AERC0
Squares and roots of 138417120
- 138417120 squared (1384171202) is 19159299109094400
- 138417120 cubed (1384171203) is 2651975003899412656128000
-
The
square root of 138417120 is 11765.0805352109 -
The
cube root of 138417120 is 517.2850609177
Scales and comparisons
How big is 138417120?- 138,417,120 seconds is equal to 4 years, 20 weeks, 6 days, 1 hour, 12 minutes.
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To count from 1 to 138,417,120 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 138417120 cubic inches would be around 43.1 feet tall.
Recreational maths with 138417120
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