138304080
138,304,080 is an even composite number composed of six prime numbers multiplied together.
What does the number 138304080 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 240 divisors.
138304080 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 138304080:
24 × 32 × 5 × 47 × 61 × 67
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 47 × 61 × 67)See below for interesting mathematical facts about the number 138304080 from the Numbermatics database.
Names of 138304080
- Cardinal: 138304080 can be written as One hundred thirty-eight million, three hundred four thousand and eighty.
Scientific notation
- Scientific notation: 1.3830408 × 108
Factors of 138304080
Divisors of 138304080
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 61 67 72 80 90 94 120 122 134 141 144 180 183 188 201 235 240 244 268 282 305 335 360 366 376 402 423 470 488 536 549 564 603 610 670 705 720 732 752 804 846 915 940 976 1005 1072 1098 1128 1206 1220 1340 1410 1464 1608 1692 1830 1880 2010 2115 2196 2256 2412 2440 2680 2745 2820 2867 2928 3015 3149 3216 3384 3660 3760 4020 4087 4230 4392 4824 4880 5360 5490 5640 5734 6030 6298 6768 7320 8040 8174 8460 8601 8784 9447 9648 10980 11280 11468 12060 12261 12596 14335 14640 15745 16080 16348 16920 17202 18894 20435 21960 22936 24120 24522 25192 25803 28341 28670 31490 32696 33840 34404 36783 37788 40870 43005 43920 45872 47235 48240 49044 50384 51606 56682 57340 61305 62980 65392 68808 73566 75576 81740 86010 94470 98088 103212 113364 114680 122610 125960 129015 137616 141705 147132 151152 163480 172020 183915 188940 192089 196176 206424 226728 229360 245220 251920 258030 283410 294264 326960 344040 367830 377880 384178 412848 453456 490440 516060 566820 576267 588528 688080 735660 755760 768356 960445 980880 1032120 1133640 1152534 1471320 1536712 1728801 1920890 2064240 2267280 2305068 2881335 2942640 3073424 3457602 3841780 4610136 5762670 6915204 7683560 8644005 9220272 11525340 13830408 15367120 17288010 23050680 27660816 34576020 46101360 69152040 138304080
- Sum of all divisors σ(n): 489325824
- Sum of proper divisors (its aliquot sum) s(n): 351021744
- 138304080 is an abundant number, because the sum of its proper divisors (351021744) is greater than itself. Its abundance is 212717664
Bases of 138304080
- Binary: 10000011111001011010010100002
- Hexadecimal: 0x83E5A50
- Base-36: 2ACC40
Squares and roots of 138304080
- 138304080 squared (1383040802) is 19128018544646400
- 138304080 cubed (1383040803) is 2645483007040259277312000
-
The
square root of 138304080 is 11760.2755069767 -
The
cube root of 138304080 is 517.1442068859
Scales and comparisons
How big is 138304080?- 138,304,080 seconds is equal to 4 years, 20 weeks, 4 days, 17 hours, 48 minutes.
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To count from 1 to 138,304,080 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 138304080 cubic inches would be around 43.1 feet tall.
Recreational maths with 138304080
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