13997728419840000
13,997,728,419,840,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13997728419840000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 5760 divisors.
13997728419840000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, seven hundred sixty divisors.
Prime factorization of 13997728419840000:
215 × 33 × 54 × 11 × 372 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 11 × 37 × 37 × 41 × 41)See below for interesting mathematical facts about the number 13997728419840000 from the Numbermatics database.
Names of 13997728419840000
- Cardinal: 13997728419840000 can be written as Thirteen quadrillion, nine hundred ninety-seven trillion, seven hundred twenty-eight billion, four hundred nineteen million, eight hundred forty thousand.
Scientific notation
- Scientific notation: 1.399772841984 × 1016
Factors of 13997728419840000
Divisors of 13997728419840000
- Number of divisors d(n): 5760
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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 37 40 41 44 45 48 50 54 55 60 64 66 72 74 75 80 82 88 90 96 99 100 108 110 111 120 123 125 128 132 135 144 148 150 160 164 165 176 180 185 192 198 200 205 216 220 222 225 240 246 250 256 264 270 275 288 296 297 300 320 328 330 333 352 360 369 370 375 384 396 400 407 410 432 440 444 450 451 480 492 495 500 512 528 540 550 555 576 592 594 600 615 625 640 656 660 666 675 704 720 738 740 750 768 792 800 814 820 825 864 880 888 900 902 925 960 984 990 999 1000 1024 1025 1056 1080 1100 1107 1110 1125 1152 1184 1188 1200 1221 1230 1250 1280 1312 1320 1332 1350 1353 1369 1375 1408 1440 1476 1480 1485 1500 1517 1536 1584 1600 1628 1640 1650 1665 1681 1728 1760 1776 1800 1804 1845 1850 1875 1920 1968 1980 1998 2000 2035 2048 2050 2112 2160 2200 2214 2220 2250 2255 2304 2368 2376 2400 2442 2460 2475 2500 2560 2624 2640 2664 2700 2706 2738 2750 2775 2816 2880 2952 2960 2970 3000 3034 3072 3075 3168 3200 3256 3280 3300 3330 3362 3375 3456 3520 3552 3600 3608 3663 3690 3700 3750 3840 3936 3960 3996 4000 4059 4070 4096 4100 4107 4125 4224 4320 4400 4428 4440 4500 4510 4551 4608 4625 4736 4752 4800 4884 4920 4950 4995 5000 5043 5120 5125 5248 5280 5328 5400 5412 5476 5500 5535 5550 5625 5632 5760 5904 5920 5940 6000 6068 6105 6144 6150 6336 6400 6512 6560 6600 6660 6724 6750 6765 6845 6875 6912 7040 7104 7200 7216 7326 7380 7400 7425 7500 7585 7680 7872 7920 7992 8000 8118 8140 8192 8200 8214 8250 8325 8405 8448 8640 8800 8856 8880 9000 9020 9102 9216 9225 9250 9472 9504 9600 9768 9840 9900 9990 10000 10086 10175 10240 10250 10496 10560 10656 10800 10824 10952 10989 11000 11070 11100 11250 11264 11275 11520 11808 11840 11880 12000 12136 12177 12210 12288 12300 12321 12375 12672 12800 13024 13120 13200 13320 13448 13500 13530 13653 13690 13750 13824 13875 14080 14208 14400 14432 14652 14760 14800 14850 15000 15059 15129 15170 15360 15375 15744 15840 15984 16000 16236 16280 16384 16400 16428 16500 16650 16687 16810 16875 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777651578880000 874858026240000 933181894656000 1166477368320000 1272520765440000 1399772841984000 1555303157760000 1749716052480000 2332954736640000 2799545683968000 3499432104960000 4665909473280000 6998864209920000 13997728419840000
- Sum of all divisors σ(n): 59558664364768800
- Sum of proper divisors (its aliquot sum) s(n): 45560935944928800
- 13997728419840000 is an abundant number, because the sum of its proper divisors (45560935944928800) is greater than itself. Its abundance is 31563207525088800
Bases of 13997728419840000
- Binary: 1100011011101011011100000111100010000010000000000000002
- Hexadecimal: 0x31BADC1E208000
- Base-36: 3TTS3NUJ9C0
Squares and roots of 13997728419840000
- 13997728419840000 squared (139977284198400002) is 195936400915596423305625600000000
- 13997728419840000 cubed (139977284198400003) is 2742664527577408251609010379270651904000000000000
-
The
square root of 13997728419840000 is 118311996.0943944179 -
The
cube root of 13997728419840000 is 241001.1903997031
Scales and comparisons
How big is 13997728419840000?- 13,997,728,419,840,000 seconds is equal to 445,084,465 years, 48 weeks, 4 days.
-
To count from 1 to 13,997,728,419,840,000 would take you about one billion, three hundred thirty-five million, two hundred fifty-three thousand, three hundred ninety-seven 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 13997728419840000 cubic inches would be around 20083.4 feet tall.
Recreational maths with 13997728419840000
- 13997728419840000 backwards is 00004891482779931
- 13997728419840000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13997728419840000's digits is 72
- More coming soon!
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"Number 13997728419840000 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
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Numbermatics. (2024). Number 13997728419840000 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/13997728419840000/
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The information we have on file for 13997728419840000 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 13997728419840000, math, Factors of 13997728419840000, curriculum, school, college, exams, university, Prime factorization of 13997728419840000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred ninety-seven trillion, seven hundred twenty-eight billion, four hundred nineteen million, eight hundred forty thousand.