12738042408960000
12,738,042,408,960,000 is an even composite number composed of six prime numbers multiplied together.
12738042408960000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 12738042408960000:
215 × 33 × 54 × 112 × 61 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 11 × 11 × 61 × 3121)See below for interesting mathematical facts about the number 12738042408960000 from the Numbermatics database.
Names of 12738042408960000
- Cardinal: 12738042408960000 can be written as Twelve quadrillion, seven hundred thirty-eight trillion, forty-two billion, four hundred eight million, nine hundred sixty thousand.
Scientific notation
- Scientific notation: 1.273804240896 × 1016
Factors of 12738042408960000
Divisors of 12738042408960000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 61 64 66 72 75 80 88 90 96 99 100 108 110 120 121 122 125 128 132 135 144 150 160 165 176 180 183 192 198 200 216 220 225 240 242 244 250 256 264 270 275 288 297 300 305 320 330 352 360 363 366 375 384 396 400 432 440 450 480 484 488 495 500 512 528 540 549 550 576 594 600 605 610 625 640 660 671 675 704 720 726 732 750 768 792 800 825 864 880 900 915 960 968 976 990 1000 1024 1056 1080 1089 1098 1100 1125 1152 1188 1200 1210 1220 1250 1280 1320 1342 1350 1375 1408 1440 1452 1464 1485 1500 1525 1536 1584 1600 1647 1650 1728 1760 1800 1815 1830 1875 1920 1936 1952 1980 2000 2013 2048 2112 2160 2178 2196 2200 2250 2304 2376 2400 2420 2440 2475 2500 2560 2640 2684 2700 2745 2750 2816 2880 2904 2928 2970 3000 3025 3050 3072 3121 3168 3200 3267 3294 3300 3355 3375 3456 3520 3600 3630 3660 3750 3840 3872 3904 3960 4000 4026 4096 4125 4224 4320 4356 4392 4400 4500 4575 4608 4752 4800 4840 4880 4950 5000 5120 5280 5368 5400 5445 5490 5500 5625 5632 5760 5808 5856 5940 6000 6039 6050 6100 6144 6242 6336 6400 6534 6588 6600 6710 6750 6875 6912 7040 7200 7260 7320 7381 7425 7500 7625 7680 7744 7808 7920 8000 8052 8192 8235 8250 8448 8640 8712 8784 8800 9000 9075 9150 9216 9363 9504 9600 9680 9760 9900 10000 10065 10240 10560 10736 10800 10890 10980 11000 11250 11264 11520 11616 11712 11880 12000 12078 12100 12200 12288 12375 12484 12672 12800 13068 13176 13200 13420 13500 13725 13750 13824 14080 14400 14520 14640 14762 14850 15000 15125 15250 15360 15488 15605 15616 15840 16000 16104 16335 16384 16470 16500 16775 16875 16896 17280 17424 17568 17600 18000 18117 18150 18300 18432 18726 19008 19200 19360 19520 19800 20000 20130 20480 20625 21120 21472 21600 21780 21960 22000 22143 22500 22528 22875 23040 23232 23424 23760 24000 24156 24200 24400 24576 24750 24968 25344 25600 26136 26352 26400 26840 27000 27225 27450 27500 27648 28089 28160 28800 29040 29280 29524 29700 30000 30195 30250 30500 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105273077760000 106150353408000 115800385536000 117944837120000 127380424089600 128667095040000 132687941760000 141533804544000 144750481920000 159225530112000 169840565452800 176917255680000 193000642560000 199031912640000 208820367360000 212300706816000 231600771072000 235889674240000 254760848179200 265375883520000 283067609088000 289500963840000 318451060224000 353834511360000 386001285120000 398063825280000 424601413632000 471779348480000 509521696358400 530751767040000 579001927680000 636902120448000 707669022720000 796127650560000 849202827264000 1061503534080000 1158003855360000 1273804240896000 1415338045440000 1592255301120000 2123007068160000 2547608481792000 3184510602240000 4246014136320000 6369021204480000 12738042408960000
- Sum of all divisors σ(n): 52706060737360800
- Sum of proper divisors (its aliquot sum) s(n): 39968018328400800
- 12738042408960000 is an abundant number, because the sum of its proper divisors (39968018328400800) is greater than itself. Its abundance is 27229975919440800
Bases of 12738042408960000
- Binary: 1011010100000100101110100111001110101110000000000000002
- Hexadecimal: 0x2D412E9CEB8000
- Base-36: 3HF9BWBSAO0
Squares and roots of 12738042408960000
- 12738042408960000 squared (127380424089600002) is 162257724412463479888281600000000
- 12738042408960000 cubed (127380424089600003) is 2066845774747304106004151063738843136000000000000
-
The
square root of 12738042408960000 is 112862936.3828533393 -
The
cube root of 12738042408960000 is 233543.3811614509
Scales and comparisons
How big is 12738042408960000?- 12,738,042,408,960,000 seconds is equal to 405,030,347 years, 13 weeks, 1 day.
-
To count from 1 to 12,738,042,408,960,000 would take you about one billion, two hundred fifteen million, ninety-one thousand and forty-one 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 12738042408960000 cubic inches would be around 19461.9 feet tall.
Recreational maths with 12738042408960000
- 12738042408960000 backwards is 00006980424083721
- 12738042408960000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12738042408960000's digits is 54
- More coming soon!
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"Number 12738042408960000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 12738042408960000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/12738042408960000/
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The information we have on file for 12738042408960000 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!
Keywords: Divisors of 12738042408960000, math, Factors of 12738042408960000, curriculum, school, college, exams, university, Prime factorization of 12738042408960000, STEM, science, technology, engineering, physics, economics, calculator, twelve quadrillion, seven hundred thirty-eight trillion, forty-two billion, four hundred eight million, nine hundred sixty thousand.