13728338624000000
13,728,338,624,000,000 is an even composite number composed of six prime numbers multiplied together.
13728338624000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, four hundred sixty divisors.
Prime factorization of 13728338624000000:
212 × 56 × 72 × 114 × 13 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 11 × 13 × 23)See below for interesting mathematical facts about the number 13728338624000000 from the Numbermatics database.
Names of 13728338624000000
- Cardinal: 13728338624000000 can be written as Thirteen quadrillion, seven hundred twenty-eight trillion, three hundred thirty-eight billion, six hundred twenty-four million.
Scientific notation
- Scientific notation: 1.3728338624 × 1016
Factors of 13728338624000000
Divisors of 13728338624000000
- Number of divisors d(n): 5460
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 23 25 26 28 32 35 40 44 46 49 50 52 55 56 64 65 70 77 80 88 91 92 98 100 104 110 112 115 121 125 128 130 140 143 154 160 161 175 176 182 184 196 200 208 220 224 230 242 245 250 253 256 260 275 280 286 299 308 320 322 325 350 352 364 368 385 392 400 416 440 448 455 460 484 490 500 506 512 520 539 550 560 572 575 598 605 616 625 637 640 644 650 700 704 715 728 736 770 784 800 805 832 847 875 880 896 910 920 968 980 1000 1001 1012 1024 1040 1078 1100 1120 1127 1144 1150 1196 1210 1225 1232 1250 1265 1274 1280 1288 1300 1331 1375 1400 1408 1430 1456 1472 1495 1540 1568 1573 1600 1610 1625 1664 1694 1750 1760 1771 1792 1820 1840 1925 1936 1960 2000 2002 2024 2048 2080 2093 2156 2200 2240 2254 2275 2288 2300 2392 2420 2450 2464 2500 2530 2548 2560 2576 2600 2662 2695 2750 2783 2800 2816 2860 2875 2912 2944 2990 3025 3080 3125 3136 3146 3185 3200 3220 3250 3289 3328 3388 3500 3520 3542 3575 3584 3640 3680 3850 3872 3920 4000 4004 4025 4048 4096 4160 4186 4235 4312 4375 4400 4480 4508 4550 4576 4600 4784 4840 4900 4928 5000 5005 5060 5096 5120 5152 5200 5324 5390 5500 5566 5600 5632 5635 5720 5750 5824 5888 5929 5980 6050 6125 6160 6250 6272 6292 6325 6370 6400 6440 6500 6578 6655 6656 6776 6875 7000 7007 7040 7084 7150 7168 7280 7360 7475 7700 7744 7840 7865 8000 8008 8050 8096 8125 8320 8372 8470 8624 8750 8800 8855 8960 9016 9100 9152 9200 9317 9568 9625 9680 9800 9856 10000 10010 10120 10192 10240 10304 10400 10465 10648 10780 11000 11011 11132 11200 11264 11270 11375 11440 11500 11648 11776 11858 11960 12100 12250 12320 12397 12500 12544 12584 12650 12740 12800 12880 13000 13156 13310 13312 13475 13552 13750 13915 14000 14014 14080 14168 14300 14336 14375 14560 14641 14651 14720 14950 15125 15400 15488 15625 15680 15730 15925 16000 16016 16100 16192 16250 16445 16640 16744 16940 17248 17303 17500 17600 17710 17875 17920 18032 18200 18304 18400 18634 19136 19250 19360 19481 19600 19712 20000 20020 20125 20240 20384 20480 20608 20800 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392238246400000 429010582000000 490297808000000 528013024000000 549133544960000 596884288000000 624015392000000 686416931200000 858021164000000 980595616000000 1056026048000000 1248030784000000 1372833862400000 1716042328000000 1961191232000000 2745667724800000 3432084656000000 6864169312000000 13728338624000000
- Sum of all divisors σ(n): 49344217709366160
- Sum of proper divisors (its aliquot sum) s(n): 35615879085366160
- 13728338624000000 is an abundant number, because the sum of its proper divisors (35615879085366160) is greater than itself. Its abundance is 21887540461366160
Bases of 13728338624000000
- Binary: 1100001100010111011001111010110000101000110000000000002
- Hexadecimal: 0x30C5D9EB0A3000
- Base-36: 3R6AFP5J37K
Squares and roots of 13728338624000000
- 13728338624000000 squared (137283386240000002) is 188467281375210213376000000000000
- 13728338624000000 cubed (137283386240000003) is 2587342658263574208409022234624000000000000000000
-
The
square root of 13728338624000000 is 117167993.1721969881 -
The
cube root of 13728338624000000 is 239445.1221903051
Scales and comparisons
How big is 13728338624000000?- 13,728,338,624,000,000 seconds is equal to 436,518,703 years, 36 weeks, 4 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,728,338,624,000,000 would take you about one billion, three hundred nine million, five hundred fifty-six thousand, one hundred eleven 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 13728338624000000 cubic inches would be around 19953.8 feet tall.
Recreational maths with 13728338624000000
- 13728338624000000 backwards is 00000042683382731
- The number of decimal digits it has is: 17
- The sum of 13728338624000000's digits is 47
- More coming soon!
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"Number 13728338624000000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 13728338624000000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/13728338624000000/
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The information we have on file for 13728338624000000 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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