138364200
138,364,200 is an even composite number composed of five prime numbers multiplied together.
138364200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 138364200:
23 × 36 × 52 × 13 × 73
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 73)See below for interesting mathematical facts about the number 138364200 from the Numbermatics database.
Names of 138364200
- Cardinal: 138364200 can be written as One hundred thirty-eight million, three hundred sixty-four thousand, two hundred.
Scientific notation
- Scientific notation: 1.383642 × 108
Factors of 138364200
Divisors of 138364200
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 27 30 36 39 40 45 50 52 54 60 65 72 73 75 78 81 90 100 104 108 117 120 130 135 146 150 156 162 180 195 200 216 219 225 234 243 260 270 292 300 312 324 325 351 360 365 390 405 438 450 468 486 520 540 584 585 600 648 650 657 675 702 729 730 780 810 876 900 936 949 972 975 1053 1080 1095 1170 1215 1300 1314 1350 1404 1458 1460 1560 1620 1752 1755 1800 1825 1898 1944 1950 1971 2025 2106 2190 2340 2430 2600 2628 2700 2808 2847 2916 2920 2925 3159 3240 3285 3510 3645 3650 3796 3900 3942 4050 4212 4380 4680 4745 4860 5256 5265 5400 5475 5694 5832 5850 5913 6075 6318 6570 7020 7290 7300 7592 7800 7884 8100 8424 8541 8760 8775 9477 9490 9720 9855 10530 10950 11388 11700 11826 12150 12636 13140 14040 14235 14580 14600 15768 15795 16200 16425 17082 17550 17739 18225 18954 18980 19710 21060 21900 22776 23400 23652 23725 24300 25272 25623 26280 26325 28470 29160 29565 31590 32850 34164 35100 35478 36450 37908 37960 39420 42120 42705 43800 47304 47385 47450 48600 49275 51246 52650 53217 56940 59130 63180 65700 68328 70200 70956 71175 72900 75816 76869 78840 78975 85410 88695 94770 94900 98550 102492 105300 106434 113880 118260 126360 128115 131400 141912 142350 145800 147825 153738 157950 170820 177390 189540 189800 197100 204984 210600 212868 213525 230607 236520 236925 256230 266085 284700 295650 307476 315900 341640 354780 379080 384345 394200 425736 427050 443475 461214 473850 512460 532170 569400 591300 614952 631800 640575 691821 709560 768690 854100 886950 922428 947700 1024920 1064340 1153035 1182600 1281150 1330425 1383642 1537380 1708200 1773900 1844856 1895400 1921725 2128680 2306070 2562300 2660850 2767284 3074760 3459105 3547800 3843450 4612140 5124600 5321700 5534568 5765175 6918210 7686900 9224280 10643400 11530350 13836420 15373800 17295525 23060700 27672840 34591050 46121400 69182100 138364200
- Sum of all divisors σ(n): 526541820
- Sum of proper divisors (its aliquot sum) s(n): 388177620
- 138364200 is an abundant number, because the sum of its proper divisors (388177620) is greater than itself. Its abundance is 249813420
Bases of 138364200
- Binary: 10000011111101000101001010002
- Hexadecimal: 0x83F4528
- Base-36: 2ADMI0
Squares and roots of 138364200
- 138364200 squared (1383642002) is 19144651841640000
- 138364200 cubed (1383642003) is 2648934436347045288000000
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The
square root of 138364200 is 11762.8312918277 -
The
cube root of 138364200 is 517.2191292499
Scales and comparisons
How big is 138364200?- 138,364,200 seconds is equal to 4 years, 20 weeks, 5 days, 10 hours, 30 minutes.
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To count from 1 to 138,364,200 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 138364200 cubic inches would be around 43.1 feet tall.
Recreational maths with 138364200
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