13288461984000000
13,288,461,984,000,000 is an even composite number composed of six prime numbers multiplied together.
13288461984000000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six thousand and forty-eight divisors.
Prime factorization of 13288461984000000:
211 × 32 × 56 × 7 × 193 × 312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 19 × 19 × 19 × 31 × 31)See below for interesting mathematical facts about the number 13288461984000000 from the Numbermatics database.
Names of 13288461984000000
- Cardinal: 13288461984000000 can be written as Thirteen quadrillion, two hundred eighty-eight trillion, four hundred sixty-one billion, nine hundred eighty-four million.
Scientific notation
- Scientific notation: 1.3288461984 × 1016
Factors of 13288461984000000
Divisors of 13288461984000000
- Number of divisors d(n): 6048
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 28 30 31 32 35 36 38 40 42 45 48 50 56 57 60 62 63 64 70 72 75 76 80 84 90 93 95 96 100 105 112 114 120 124 125 126 128 133 140 144 150 152 155 160 168 171 175 180 186 190 192 200 210 217 224 225 228 240 248 250 252 256 266 279 280 285 288 300 304 310 315 320 336 342 350 360 361 372 375 380 384 399 400 420 434 448 450 456 465 475 480 496 500 504 512 525 532 558 560 570 576 589 600 608 620 625 630 640 651 665 672 684 700 720 722 744 750 760 768 775 798 800 840 855 868 875 896 900 912 930 950 960 961 992 1000 1008 1024 1050 1064 1083 1085 1116 1120 1125 1140 1152 1178 1197 1200 1216 1240 1250 1260 1280 1302 1330 1344 1368 1395 1400 1425 1440 1444 1488 1500 1520 1536 1550 1575 1596 1600 1680 1710 1736 1750 1767 1792 1800 1805 1824 1860 1875 1900 1920 1922 1953 1984 1995 2000 2016 2048 2100 2128 2166 2170 2232 2240 2250 2280 2304 2325 2356 2375 2394 2400 2432 2480 2500 2520 2527 2560 2604 2625 2660 2688 2736 2790 2800 2850 2880 2883 2888 2945 2976 3000 3040 3072 3100 3125 3150 3192 3200 3249 3255 3325 3360 3420 3472 3500 3534 3584 3600 3610 3648 3720 3750 3800 3840 3844 3875 3906 3968 3990 4000 4032 4123 4200 4256 4275 4332 4340 4375 4464 4480 4500 4560 4608 4650 4712 4750 4788 4800 4805 4864 4960 5000 5040 5054 5120 5208 5250 5301 5320 5376 5415 5425 5472 5580 5600 5625 5700 5760 5766 5776 5890 5952 5985 6000 6080 6144 6200 6250 6300 6384 6400 6498 6510 6650 6720 6727 6840 6859 6944 6975 7000 7068 7125 7168 7200 7220 7296 7440 7500 7581 7600 7680 7688 7750 7812 7875 7936 7980 8000 8064 8246 8400 8512 8550 8649 8664 8680 8750 8835 8928 8960 9000 9025 9120 9216 9300 9375 9424 9500 9576 9600 9610 9728 9765 9920 9975 10000 10080 10108 10240 10416 10500 10602 10640 10752 10830 10850 10944 11160 11191 11200 11250 11400 11520 11532 11552 11625 11780 11875 11904 11970 12000 12160 12369 12400 12500 12600 12635 12768 12800 12996 13020 13125 13300 13440 13454 13680 13718 13888 13950 14000 14136 14250 14336 14400 14415 14440 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- Sum of all divisors σ(n): 59799773646849600
- Sum of proper divisors (its aliquot sum) s(n): 46511311662849600
- 13288461984000000 is an abundant number, because the sum of its proper divisors (46511311662849600) is greater than itself. Its abundance is 33222849678849600
Bases of 13288461984000000
- Binary: 1011110011010111001001001010000010101011101000000000002
- Hexadecimal: 0x2F35C9282AE800
- Base-36: 3MUD75RCOW0
Squares and roots of 13288461984000000
- 13288461984000000 squared (132884619840000002) is 176583221900213216256000000000000
- 13288461984000000 cubed (132884619840000003) is 2346519431233219565712226811904000000000000000000
-
The
square root of 13288461984000000 is 115275591.4493610393 -
The
cube root of 13288461984000000 is 236859.9170041671
Scales and comparisons
How big is 13288461984000000?- 13,288,461,984,000,000 seconds is equal to 422,531,987 years, 9 weeks, 2 days, 8 hours.
-
To count from 1 to 13,288,461,984,000,000 would take you about one billion, two hundred sixty-seven million, five hundred ninety-five thousand, nine hundred sixty-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 13288461984000000 cubic inches would be around 19738.3 feet tall.
Recreational maths with 13288461984000000
- 13288461984000000 backwards is 00000048916488231
- The number of decimal digits it has is: 17
- The sum of 13288461984000000's digits is 54
- More coming soon!
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"Number 13288461984000000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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Numbermatics. (2024). Number 13288461984000000 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/13288461984000000/
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The information we have on file for 13288461984000000 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 13288461984000000, math, Factors of 13288461984000000, curriculum, school, college, exams, university, Prime factorization of 13288461984000000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, two hundred eighty-eight trillion, four hundred sixty-one billion, nine hundred eighty-four million.