13813586968896000000
13,813,586,968,896,000,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13813586968896000000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 9828 divisors.
13813586968896000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine thousand, eight hundred twenty-eight divisors.
Prime factorization of 13813586968896000000:
212 × 32 × 56 × 112 × 13 × 73 × 4572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 13 × 73 × 457 × 457)See below for interesting mathematical facts about the number 13813586968896000000 from the Numbermatics database.
Names of 13813586968896000000
- Cardinal: 13813586968896000000 can be written as Thirteen quintillion, eight hundred thirteen quadrillion, five hundred eighty-six trillion, nine hundred sixty-eight billion, eight hundred ninety-six million.
Scientific notation
- Scientific notation: 1.3813586968896 × 1019
Factors of 13813586968896000000
Divisors of 13813586968896000000
- Number of divisors d(n): 9828
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 30 32 33 36 39 40 44 45 48 50 52 55 60 64 65 66 72 73 75 78 80 88 90 96 99 100 104 110 117 120 121 125 128 130 132 143 144 146 150 156 160 165 176 180 192 195 198 200 208 219 220 225 234 240 242 250 256 260 264 275 286 288 292 300 312 320 325 330 352 360 363 365 375 384 390 396 400 416 429 438 440 450 457 468 480 484 495 500 512 520 528 550 572 576 584 585 600 605 624 625 640 650 657 660 704 715 720 726 730 750 768 780 792 800 803 825 832 858 876 880 900 914 936 949 960 968 975 990 1000 1024 1040 1056 1089 1095 1100 1125 1144 1152 1168 1170 1200 1210 1248 1250 1280 1287 1300 1314 1320 1371 1375 1408 1430 1440 1452 1460 1500 1536 1560 1573 1584 1600 1606 1625 1650 1664 1716 1752 1760 1800 1815 1825 1828 1872 1875 1898 1920 1936 1950 1980 2000 2048 2080 2112 2145 2178 2190 2200 2250 2285 2288 2304 2336 2340 2400 2409 2420 2475 2496 2500 2560 2574 2600 2628 2640 2742 2750 2816 2847 2860 2880 2904 2920 2925 3000 3025 3072 3120 3125 3146 3168 3200 3212 3250 3285 3300 3328 3432 3504 3520 3575 3600 3630 3650 3656 3744 3750 3796 3840 3872 3900 3960 4000 4015 4096 4113 4125 4160 4224 4290 4356 4380 4400 4500 4570 4576 4608 4672 4680 4719 4745 4800 4818 4840 4875 4950 4992 5000 5027 5120 5148 5200 5256 5280 5445 5475 5484 5500 5625 5632 5694 5720 5760 5808 5840 5850 5941 6000 6050 6144 6240 6250 6292 6336 6400 6424 6435 6500 6570 6600 6656 6855 6864 6875 7008 7040 7150 7200 7227 7260 7300 7312 7488 7500 7592 7680 7744 7800 7865 7920 8000 8030 8125 8226 8250 8320 8448 8541 8580 8712 8760 8800 8833 9000 9075 9125 9140 9152 9216 9344 9360 9375 9438 9490 9600 9636 9680 9750 9900 9984 10000 10054 10240 10296 10400 10439 10512 10560 10725 10890 10950 10968 11000 11250 11264 11388 11425 11440 11520 11616 11680 11700 11882 12000 12045 12100 12288 12375 12480 12500 12584 12672 12800 12848 12870 13000 13140 13200 13312 13710 13728 13750 14016 14080 14157 14235 14300 14400 14454 14520 14600 14624 14625 14976 15000 15081 15125 15184 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1381358696889600000 1534842996544000000 1726698371112000000 2302264494816000000 2762717393779200000 3453396742224000000 4604528989632000000 6906793484448000000 13813586968896000000
- Sum of all divisors σ(n): 59979094868587253268
- Sum of proper divisors (its aliquot sum) s(n): 46165507899691253268
- 13813586968896000000 is an abundant number, because the sum of its proper divisors (46165507899691253268) is greater than itself. Its abundance is 32351920930795253268
Bases of 13813586968896000000
- Binary: 10111111101100111011100000101001001000110000001011010000000000002
- Hexadecimal: 0xBFB3B8292302D000
- Base-36: 2WY63WNPMAKG0
Squares and roots of 13813586968896000000
- 13813586968896000000 squared (138135869688960000002) is 190815184947253380871458816000000000000
- 13813586968896000000 cubed (138135869688960000003) is 2635842152254859475112663013107136987136000000000000000000
-
The
square root of 13813586968896000000 is 3716663418.8336182993 -
The
cube root of 13813586968896000000 is 2399397.2426641707
Scales and comparisons
How big is 13813586968896000000?- 13,813,586,968,896,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,813,586,968,896,000,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13813586968896000000 cubic inches would be around 199949.8 feet tall.
Recreational maths with 13813586968896000000
- 13813586968896000000 backwards is 00000069886968531831
- The number of decimal digits it has is: 20
- The sum of 13813586968896000000's digits is 81
- More coming soon!
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"Number 13813586968896000000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 13813586968896000000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13813586968896000000/
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The information we have on file for 13813586968896000000 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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