138187060704000
138,187,060,704,000 is an even composite number composed of six prime numbers multiplied together.
138187060704000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 138187060704000:
28 × 32 × 53 × 73 × 113 × 1051
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 1051)See below for interesting mathematical facts about the number 138187060704000 from the Numbermatics database.
Names of 138187060704000
- Cardinal: 138187060704000 can be written as One hundred thirty-eight trillion, one hundred eighty-seven billion, sixty million, seven hundred four thousand.
Scientific notation
- Scientific notation: 1.38187060704 × 1014
Factors of 138187060704000
Divisors of 138187060704000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 28 30 32 33 35 36 40 42 44 45 48 49 50 55 56 60 63 64 66 70 72 75 77 80 84 88 90 96 98 99 100 105 110 112 120 121 125 126 128 132 140 144 147 150 154 160 165 168 175 176 180 192 196 198 200 210 220 224 225 231 240 242 245 250 252 256 264 275 280 288 294 300 308 315 320 330 336 343 350 352 360 363 375 384 385 392 396 400 420 440 441 448 450 462 480 484 490 495 500 504 525 528 539 550 560 576 588 600 605 616 630 640 660 672 686 693 700 704 720 726 735 750 768 770 784 792 800 825 840 847 875 880 882 896 900 924 960 968 980 990 1000 1008 1029 1050 1051 1056 1078 1089 1100 1120 1125 1152 1155 1176 1200 1210 1225 1232 1260 1280 1320 1331 1344 1372 1375 1386 1400 1408 1440 1452 1470 1500 1540 1568 1575 1584 1600 1617 1650 1680 1694 1715 1750 1760 1764 1792 1800 1815 1848 1920 1925 1936 1960 1980 2000 2016 2058 2100 2102 2112 2156 2178 2200 2205 2240 2250 2304 2310 2352 2400 2420 2450 2464 2475 2520 2541 2625 2640 2662 2688 2695 2744 2750 2772 2800 2816 2880 2904 2940 3000 3025 3080 3087 3136 3150 3153 3168 3200 3234 3300 3360 3388 3430 3465 3500 3520 3528 3600 3630 3675 3696 3773 3840 3850 3872 3920 3960 3993 4000 4032 4116 4125 4200 4204 4224 4235 4312 4356 4400 4410 4480 4500 4620 4704 4800 4840 4851 4900 4928 4950 5040 5082 5145 5250 5255 5280 5324 5376 5390 5445 5488 5500 5544 5600 5760 5775 5808 5880 5929 6000 6050 6125 6160 6174 6272 6300 6306 6336 6400 6468 6600 6655 6720 6776 6860 6930 7000 7040 7056 7200 7260 7350 7357 7392 7546 7623 7700 7744 7840 7875 7920 7986 8000 8064 8085 8232 8250 8400 8408 8448 8470 8575 8624 8712 8800 8820 8960 9000 9075 9240 9317 9408 9459 9600 9625 9680 9702 9800 9856 9900 10080 10164 10290 10500 10510 10560 10648 10780 10890 10976 11000 11025 11088 11200 11319 11520 11550 11561 11616 11760 11858 11979 12000 12100 12250 12320 12348 12375 12544 12600 12612 12672 12705 12936 13200 13310 13440 13475 13552 13720 13860 14000 14080 14112 14400 14520 14700 14714 14784 15092 15125 15246 15400 15435 15488 15680 15750 15765 15840 15972 16000 16128 16170 16464 16500 16800 16816 16940 17150 17248 17325 17424 17600 17640 17787 18000 18150 18375 18480 18634 18816 18865 18918 19200 19250 19360 19404 19600 19712 19800 19965 20160 20328 20580 21000 21020 21120 21175 21296 21560 21780 21952 22000 22050 22071 22176 22400 22638 23100 23122 23232 23520 23716 23958 24000 24200 24255 24500 24640 24696 24750 25200 25224 25344 25410 25725 25872 26275 26400 26620 26880 26950 27104 27225 27440 27720 27951 28000 28224 28800 28875 29040 29400 29428 29568 29645 30184 30250 30492 30800 30870 30976 31360 31500 31530 31680 31944 32000 32340 32928 33000 33275 33600 33632 33880 33957 34300 34496 34650 34683 34848 35200 35280 35574 36000 36300 36750 36785 36960 37268 37632 37730 37836 38115 38500 38720 38808 39200 39600 39930 40320 40425 40656 41160 41503 42000 42040 42240 42350 42592 42875 43120 43560 43904 44000 44100 44142 44352 44800 45276 45375 46200 46244 46464 46585 47040 47295 47432 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263213448960 274180676000 276374121408 279165779200 282014409600 285510456000 287889709800 299106192000 307082357120 308453260500 313349344000 314061501600 329016811200 345467651760 348957224000 352518012000 358927430400 359862137250 368498828544 380680608000 383852946400 392576877000 394820173440 402877728000 411271014000 418748668800 431834564700 438689081600 448659288000 460623535680 470024016000 479816183000 493525216800 502498402560 523435836000 539793205875 548361352000 552748242816 564028819200 571020912000 575779419600 598212384000 614164714240 616906521000 628123003200 658033622400 690935303520 697914448000 705036024000 719724274500 767705892800 785153754000 789640346880 822542028000 837497337600 863669129400 897318576000 921247071360 940048032000 959632366000 987050433600 1046871672000 1079586411750 1096722704000 1105496485632 1142041824000 1151558839200 1233813042000 1256246006400 1316067244800 1381870607040 1395828896000 1410072048000 1439448549000 1535411785600 1570307508000 1645084056000 1727338258800 1794637152000 1842494142720 1919264732000 1974100867200 2093743344000 2159172823500 2193445408000 2303117678400 2467626084000 2512492012800 2763741214080 2820144096000 2878897098000 3070823571200 3140615016000 3290168112000 3454676517600 3838529464000 3948201734400 4187486688000 4318345647000 4606235356800 4935252168000 5527482428160 5757794196000 6281230032000 6580336224000 6909353035200 7677058928000 8636691294000 9212470713600 9870504336000 11515588392000 12562460064000 13818706070400 15354117856000 17273382588000 19741008672000 23031176784000 27637412140800 34546765176000 46062353568000 69093530352000 138187060704000
- Sum of all divisors σ(n): 638418786969600
- Sum of proper divisors (its aliquot sum) s(n): 500231726265600
- 138187060704000 is an abundant number, because the sum of its proper divisors (500231726265600) is greater than itself. Its abundance is 362044665561600
Bases of 138187060704000
- Binary: 111110110101110001011101010101001110011000000002
- Hexadecimal: 0x7DAE2EAA7300
- Base-36: 1CZE9C24G0
Squares and roots of 138187060704000
- 138187060704000 squared (1381870607040002) is 19095663746010980975616000000
- 138187060704000 cubed (1381870607040003) is 2638773645253191465928037335793664000000000
-
The
square root of 138187060704000 is 11755299.2605037495 -
The
cube root of 138187060704000 is 51699.8313560215
Scales and comparisons
How big is 138187060704000?- 138,187,060,704,000 seconds is equal to 4,393,921 years, 4 weeks, 4 days, 16 hours.
-
To count from 1 to 138,187,060,704,000 would take you about ten million, nine hundred eighty-four thousand, eight hundred two 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 138187060704000 cubic inches would be around 4308.3 feet tall.
Recreational maths with 138187060704000
- 138187060704000 backwards is 000407060781831
- 138187060704000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138187060704000's digits is 45
- More coming soon!
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"Number 138187060704000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
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Numbermatics. (2024). Number 138187060704000 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/138187060704000/
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The information we have on file for 138187060704000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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