13940985779280000
13,940,985,779,280,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13940985779280000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 5760 divisors.
13940985779280000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, seven hundred sixty divisors.
Prime factorization of 13940985779280000:
27 × 33 × 54 × 7 × 372 × 612 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 37 × 37 × 61 × 61 × 181)See below for interesting mathematical facts about the number 13940985779280000 from the Numbermatics database.
Names of 13940985779280000
- Cardinal: 13940985779280000 can be written as Thirteen quadrillion, nine hundred forty trillion, nine hundred eighty-five billion, seven hundred seventy-nine million, two hundred eighty thousand.
Scientific notation
- Scientific notation: 1.394098577928 × 1016
Factors of 13940985779280000
Divisors of 13940985779280000
- Number of divisors d(n): 5760
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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 37 40 42 45 48 50 54 56 60 61 63 64 70 72 74 75 80 84 90 96 100 105 108 111 112 120 122 125 126 128 135 140 144 148 150 160 168 175 180 181 183 185 189 192 200 210 216 222 224 225 240 244 250 252 259 270 280 288 296 300 305 315 320 333 336 350 360 362 366 370 375 378 384 400 420 427 432 444 448 450 480 488 500 504 518 525 540 543 549 555 560 576 592 600 610 625 630 640 666 672 675 700 720 724 732 740 750 756 777 800 840 854 864 875 888 896 900 905 915 925 945 960 976 999 1000 1008 1036 1050 1080 1086 1098 1110 1120 1125 1152 1184 1200 1220 1250 1260 1267 1281 1295 1332 1344 1350 1369 1400 1440 1448 1464 1480 1500 1512 1525 1554 1575 1600 1629 1647 1665 1680 1708 1728 1750 1776 1800 1810 1830 1850 1875 1890 1920 1952 1998 2000 2016 2072 2100 2135 2160 2172 2196 2220 2240 2250 2257 2331 2368 2400 2440 2500 2520 2534 2562 2590 2625 2664 2688 2700 2715 2738 2745 2775 2800 2880 2896 2928 2960 3000 3024 3050 3108 3150 3200 3258 3294 3330 3360 3375 3416 3456 3500 3552 3600 3620 3660 3700 3721 3750 3780 3801 3843 3885 3904 3996 4000 4032 4107 4144 4200 4270 4320 4344 4375 4392 4440 4480 4500 4514 4525 4575 4625 4662 4725 4736 4800 4880 4887 4995 5000 5040 5068 5124 5180 5250 5328 5400 5430 5476 5490 5550 5600 5625 5760 5792 5856 5920 6000 6048 6100 6216 6300 6335 6405 6475 6516 6588 6660 6697 6720 6750 6771 6832 6845 6993 7000 7104 7200 7240 7320 7400 7442 7500 7560 7602 7625 7686 7770 7808 7875 7992 8000 8064 8145 8214 8235 8288 8325 8400 8540 8640 8688 8750 8784 8880 9000 9028 9050 9150 9250 9324 9450 9583 9600 9760 9774 9990 10000 10080 10136 10248 10360 10500 10656 10675 10800 10860 10952 10980 11041 11100 11163 11200 11250 11285 11403 11529 11584 11655 11712 11840 12000 12096 12200 12321 12432 12600 12670 12810 12950 13032 13125 13176 13320 13394 13440 13500 13542 13575 13664 13690 13725 13875 13986 14000 14208 14400 14480 14640 14800 14884 15000 15120 15204 15250 15372 15540 15750 15799 15984 16000 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929399051952000 995784698520000 1161748814940000 1394098577928000 1548998419920000 1742623222410000 1991569397040000 2323497629880000 2788197155856000 3485246444820000 4646995259760000 6970492889640000 13940985779280000
- Sum of all divisors σ(n): 61736644252483200
- Sum of proper divisors (its aliquot sum) s(n): 47795658473203200
- 13940985779280000 is an abundant number, because the sum of its proper divisors (47795658473203200) is greater than itself. Its abundance is 33854672693923200
Bases of 13940985779280000
- Binary: 1100011000011101000000101100010011000101011000100000002
- Hexadecimal: 0x318740B1315880
- Base-36: 3T9O0GBEAO0
Squares and roots of 13940985779280000
- 13940985779280000 squared (139409857792800002) is 194351084498087188877318400000000
- 13940985779280000 cubed (139409857792800003) is 2709445705175479156500247202940682752000000000000
-
The
square root of 13940985779280000 is 118071951.7043738883 -
The
cube root of 13940985779280000 is 240675.1002554431
Scales and comparisons
How big is 13940985779280000?- 13,940,985,779,280,000 seconds is equal to 443,280,225 years, 25 weeks.
-
To count from 1 to 13,940,985,779,280,000 would take you about one billion, three hundred twenty-nine million, eight hundred forty thousand, six hundred seventy-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 13940985779280000 cubic inches would be around 20056.3 feet tall.
Recreational maths with 13940985779280000
- 13940985779280000 backwards is 00008297758904931
- 13940985779280000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13940985779280000's digits is 72
- More coming soon!
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"Number 13940985779280000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 13940985779280000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/13940985779280000/
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Numbermatics. 2024. "Number 13940985779280000 - Facts about the integer". https://numbermatics.com/n/13940985779280000/
The information we have on file for 13940985779280000 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 13940985779280000, math, Factors of 13940985779280000, curriculum, school, college, exams, university, Prime factorization of 13940985779280000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred forty trillion, nine hundred eighty-five billion, seven hundred seventy-nine million, two hundred eighty thousand.