13982833146240000
13,982,833,146,240,000 is an even composite number composed of seven prime numbers multiplied together.
13982833146240000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, two hundred eighty divisors.
Prime factorization of 13982833146240000:
210 × 33 × 54 × 72 × 137 × 149 × 809
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 137 × 149 × 809)See below for interesting mathematical facts about the number 13982833146240000 from the Numbermatics database.
Names of 13982833146240000
- Cardinal: 13982833146240000 can be written as Thirteen quadrillion, nine hundred eighty-two trillion, eight hundred thirty-three billion, one hundred forty-six million, two hundred forty thousand.
Scientific notation
- Scientific notation: 1.398283314624 × 1016
Factors of 13982833146240000
Divisors of 13982833146240000
- Number of divisors d(n): 5280
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 49 50 54 56 60 63 64 70 72 75 80 84 90 96 98 100 105 108 112 120 125 126 128 135 137 140 144 147 149 150 160 168 175 180 189 192 196 200 210 216 224 225 240 245 250 252 256 270 274 280 288 294 298 300 315 320 336 350 360 375 378 384 392 400 411 420 432 441 447 448 450 480 490 500 504 512 525 540 548 560 576 588 596 600 625 630 640 672 675 685 700 720 735 745 750 756 768 784 800 809 822 840 864 875 882 894 896 900 945 959 960 980 1000 1008 1024 1043 1050 1080 1096 1120 1125 1152 1176 1192 1200 1225 1233 1250 1260 1280 1323 1341 1344 1350 1370 1400 1440 1470 1490 1500 1512 1536 1568 1575 1600 1618 1644 1680 1728 1750 1764 1788 1792 1800 1875 1890 1918 1920 1960 2000 2016 2055 2086 2100 2160 2192 2205 2235 2240 2250 2304 2352 2384 2400 2427 2450 2466 2500 2520 2560 2625 2646 2682 2688 2700 2740 2800 2877 2880 2940 2980 3000 3024 3072 3129 3136 3150 3200 3236 3288 3360 3375 3425 3456 3500 3528 3576 3584 3600 3675 3699 3725 3750 3780 3836 3840 3920 4000 4023 4032 4045 4110 4172 4200 4320 4375 4384 4410 4470 4480 4500 4608 4704 4725 4768 4795 4800 4854 4900 4932 5000 5040 5120 5215 5250 5292 5364 5376 5400 5480 5600 5625 5663 5754 5760 5880 5960 6000 6048 6125 6165 6258 6272 6300 6400 6472 6576 6615 6705 6713 6720 6750 6850 6912 7000 7056 7152 7168 7200 7281 7301 7350 7398 7450 7500 7560 7672 7680 7840 7875 8000 8046 8064 8090 8220 8344 8400 8631 8640 8750 8768 8820 8940 8960 9000 9216 9387 9408 9450 9536 9590 9600 9708 9800 9864 10000 10080 10275 10430 10500 10584 10728 10752 10800 10960 11025 11175 11200 11250 11326 11508 11520 11760 11920 12000 12096 12135 12250 12330 12516 12544 12600 12800 12944 13125 13152 13230 13410 13426 13440 13500 13700 13824 14000 14112 14304 14385 14400 14562 14602 14700 14796 14900 15000 15120 15344 15360 15645 15680 15750 16000 16092 16128 16180 16440 16688 16800 16875 16989 17125 17262 17280 17500 17536 17640 17880 17920 18000 18375 18495 18625 18774 18816 18900 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199754759232000 218481767910000 221949732480000 233047219104000 249693449040000 258941354560000 279656662924800 285363941760000 291309023880000 310729625472000 332924598720000 349570828656000 388412031840000 399509518464000 436963535820000 466094438208000 499386898080000 517882709120000 559313325849600 582618047760000 665849197440000 699141657312000 776824063680000 873927071640000 932188876416000 998773796160000 1165236095520000 1398283314624000 1553648127360000 1747854143280000 1997547592320000 2330472191040000 2796566629248000 3495708286560000 4660944382080000 6991416573120000 13982833146240000
- Sum of all divisors σ(n): 61116586213320000
- Sum of proper divisors (its aliquot sum) s(n): 47133753067080000
- 13982833146240000 is an abundant number, because the sum of its proper divisors (47133753067080000) is greater than itself. Its abundance is 33150919920840000
Bases of 13982833146240000
- Binary: 1100011010110101010000000010101010001010011100000000002
- Hexadecimal: 0x31AD500AA29C00
- Base-36: 3TOI0V97UO0
Squares and roots of 13982833146240000
- 13982833146240000 squared (139828331462400002) is 195519622795588017226137600000000
- 13982833146240000 cubed (139828331462400003) is 2733918262366490019300996934971162624000000000000
-
The
square root of 13982833146240000 is 118249030.2126829283 -
The
cube root of 13982833146240000 is 240915.6752686317
Scales and comparisons
How big is 13982833146240000?- 13,982,833,146,240,000 seconds is equal to 444,610,842 years, 16 weeks.
-
To count from 1 to 13,982,833,146,240,000 would take you about one billion, three hundred thirty-three million, eight hundred thirty-two thousand, five hundred twenty-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 13982833146240000 cubic inches would be around 20076.3 feet tall.
Recreational maths with 13982833146240000
- 13982833146240000 backwards is 00004264133828931
- 13982833146240000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13982833146240000's digits is 54
- More coming soon!
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"Number 13982833146240000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
APA style:
Numbermatics. (2024). Number 13982833146240000 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/13982833146240000/
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Numbermatics. 2024. "Number 13982833146240000 - Facts about the integer". https://numbermatics.com/n/13982833146240000/
The information we have on file for 13982833146240000 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 13982833146240000, math, Factors of 13982833146240000, curriculum, school, college, exams, university, Prime factorization of 13982833146240000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred eighty-two trillion, eight hundred thirty-three billion, one hundred forty-six million, two hundred forty thousand.