138908520
138,908,520 is an even composite number composed of five prime numbers multiplied together.
138908520 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 138908520:
23 × 35 × 5 × 31 × 461
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 31 × 461)See below for interesting mathematical facts about the number 138908520 from the Numbermatics database.
Names of 138908520
- Cardinal: 138908520 can be written as One hundred thirty-eight million, nine hundred eight thousand, five hundred twenty.
Scientific notation
- Scientific notation: 1.3890852 × 108
Factors of 138908520
Divisors of 138908520
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 81 90 93 108 120 124 135 155 162 180 186 216 243 248 270 279 310 324 360 372 405 461 465 486 540 558 620 648 744 810 837 922 930 972 1080 1116 1215 1240 1383 1395 1620 1674 1844 1860 1944 2232 2305 2430 2511 2766 2790 3240 3348 3688 3720 4149 4185 4610 4860 5022 5532 5580 6696 6915 7533 8298 8370 9220 9720 10044 11064 11160 12447 12555 13830 14291 15066 16596 16740 18440 20088 20745 24894 25110 27660 28582 30132 33192 33480 37341 37665 41490 42873 49788 50220 55320 57164 60264 62235 71455 74682 75330 82980 85746 99576 100440 112023 114328 124470 128619 142910 149364 150660 165960 171492 186705 214365 224046 248940 257238 285820 298728 301320 342984 373410 385857 428730 448092 497880 514476 560115 571640 643095 746820 771714 857460 896184 1028952 1120230 1157571 1286190 1493640 1543428 1714920 1929285 2240460 2315142 2572380 3086856 3472713 3858570 4480920 4630284 5144760 5787855 6945426 7717140 9260568 11575710 13890852 15434280 17363565 23151420 27781704 34727130 46302840 69454260 138908520
- Sum of all divisors σ(n): 484323840
- Sum of proper divisors (its aliquot sum) s(n): 345415320
- 138908520 is an abundant number, because the sum of its proper divisors (345415320) is greater than itself. Its abundance is 206506800
Bases of 138908520
- Binary: 10000100011110010011011010002
- Hexadecimal: 0x8479368
- Base-36: 2APAI0
Squares and roots of 138908520
- 138908520 squared (1389085202) is 19295576928590400
- 138908520 cubed (1389085203) is 2680320033696638150208000
-
The
square root of 138908520 is 11785.9458678547 -
The
cube root of 138908520 is 517.8964825467
Scales and comparisons
How big is 138908520?- 138,908,520 seconds is equal to 4 years, 21 weeks, 4 days, 17 hours, 42 minutes.
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To count from 1 to 138,908,520 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 138908520 cubic inches would be around 43.2 feet tall.
Recreational maths with 138908520
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