138246480
138,246,480 is an even composite number composed of five prime numbers multiplied together.
138246480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 138246480:
24 × 33 × 5 × 29 × 2207
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 29 × 2207)See below for interesting mathematical facts about the number 138246480 from the Numbermatics database.
Names of 138246480
- Cardinal: 138246480 can be written as One hundred thirty-eight million, two hundred forty-six thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3824648 × 108
Factors of 138246480
Divisors of 138246480
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 36 40 45 48 54 58 60 72 80 87 90 108 116 120 135 144 145 174 180 216 232 240 261 270 290 348 360 432 435 464 522 540 580 696 720 783 870 1044 1080 1160 1305 1392 1566 1740 2088 2160 2207 2320 2610 3132 3480 3915 4176 4414 5220 6264 6621 6960 7830 8828 10440 11035 12528 13242 15660 17656 19863 20880 22070 26484 31320 33105 35312 39726 44140 52968 59589 62640 64003 66210 79452 88280 99315 105936 119178 128006 132420 158904 176560 192009 198630 238356 256012 264840 297945 317808 320015 384018 397260 476712 512024 529680 576027 595890 640030 768036 794520 953424 960045 1024048 1152054 1191780 1280060 1536072 1589040 1728081 1920090 2304108 2383560 2560120 2880135 3072144 3456162 3840180 4608216 4767120 5120240 5760270 6912324 7680360 8640405 9216432 11520540 13824648 15360720 17280810 23041080 27649296 34561620 46082160 69123240 138246480
- Sum of all divisors σ(n): 492825600
- Sum of proper divisors (its aliquot sum) s(n): 354579120
- 138246480 is an abundant number, because the sum of its proper divisors (354579120) is greater than itself. Its abundance is 216332640
Bases of 138246480
- Binary: 10000011110101111001010100002
- Hexadecimal: 0x83D7950
- Base-36: 2AB3O0
Squares and roots of 138246480
- 138246480 squared (1382464802) is 19112089232390400
- 138246480 cubed (1382464803) is 2642179061823874785792000
-
The
square root of 138246480 is 11757.8263297261 -
The
cube root of 138246480 is 517.0724046115
Scales and comparisons
How big is 138246480?- 138,246,480 seconds is equal to 4 years, 20 weeks, 4 days, 1 hour, 48 minutes.
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To count from 1 to 138,246,480 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 138246480 cubic inches would be around 43.1 feet tall.
Recreational maths with 138246480
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