106348641638400000
106,348,641,638,400,000 is an even composite number composed of five prime numbers multiplied together.
106348641638400000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five thousand, four hundred divisors.
Prime factorization of 106348641638400000:
214 × 33 × 55 × 74 × 1792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 179 × 179)See below for interesting mathematical facts about the number 106348641638400000 from the Numbermatics database.
Names of 106348641638400000
- Cardinal: 106348641638400000 can be written as One hundred six quadrillion, three hundred forty-eight trillion, six hundred forty-one billion, six hundred thirty-eight million, four hundred thousand.
Scientific notation
- Scientific notation: 1.063486416384 × 1017
Factors of 106348641638400000
Divisors of 106348641638400000
- Number of divisors d(n): 5400
-
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 98 100 105 108 112 120 125 126 128 135 140 144 147 150 160 168 175 179 180 189 192 196 200 210 216 224 225 240 245 250 252 256 270 280 288 294 300 315 320 336 343 350 358 360 375 378 384 392 400 420 432 441 448 450 480 490 500 504 512 525 537 540 560 576 588 600 625 630 640 672 675 686 700 716 720 735 750 756 768 784 800 840 864 875 882 895 896 900 945 960 980 1000 1008 1024 1029 1050 1074 1080 1120 1125 1152 1176 1200 1225 1250 1253 1260 1280 1323 1344 1350 1372 1400 1432 1440 1470 1500 1512 1536 1568 1575 1600 1611 1680 1715 1728 1750 1764 1790 1792 1800 1875 1890 1920 1960 2000 2016 2048 2058 2100 2148 2160 2205 2240 2250 2304 2352 2400 2401 2450 2500 2506 2520 2560 2625 2646 2685 2688 2700 2744 2800 2864 2880 2940 3000 3024 3072 3087 3125 3136 3150 3200 3222 3360 3375 3430 3456 3500 3528 3580 3584 3600 3675 3750 3759 3780 3840 3920 4000 4032 4096 4116 4200 4296 4320 4375 4410 4475 4480 4500 4608 4704 4725 4800 4802 4833 4900 5000 5012 5040 5120 5145 5250 5292 5370 5376 5400 5488 5600 5625 5728 5760 5880 6000 6048 6125 6144 6174 6250 6265 6272 6300 6400 6444 6615 6720 6750 6860 6912 7000 7056 7160 7168 7200 7203 7350 7500 7518 7560 7680 7840 7875 8000 8055 8064 8192 8232 8400 8575 8592 8640 8750 8771 8820 8950 8960 9000 9216 9261 9375 9408 9450 9600 9604 9666 9800 10000 10024 10080 10240 10290 10500 10584 10740 10752 10800 10976 11025 11200 11250 11277 11456 11520 11760 12000 12005 12096 12250 12288 12348 12500 12530 12544 12600 12800 12888 13125 13230 13425 13440 13500 13720 13824 14000 14112 14320 14336 14400 14406 14700 15000 15036 15120 15360 15435 15680 15750 16000 16110 16128 16384 16464 16800 16875 17150 17184 17280 17500 17542 17640 17900 17920 18000 18375 18432 18522 18750 18795 18816 18900 19200 19208 19332 19600 20000 20048 20160 20480 20580 21000 21168 21480 21504 21600 21609 21875 21952 22050 22375 22400 22500 22554 22912 23040 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10634864163840000 11816515737600000 13293580204800000 15192663091200000 17724773606400000 21269728327680000 26587160409600000 35449547212800000 53174320819200000 106348641638400000
- Sum of all divisors σ(n): 462041553245917680
- Sum of proper divisors (its aliquot sum) s(n): 355692911607517680
- 106348641638400000 is an abundant number, because the sum of its proper divisors (355692911607517680) is greater than itself. Its abundance is 249344269969117680
Bases of 106348641638400000
- Binary: 1011110011101001110000110101011110011001111000000000000002
- Hexadecimal: 0x179D386AF33C000
- Base-36: T35G3I6Y2O0
Squares and roots of 106348641638400000
- 106348641638400000 squared (1063486416384000002) is 11310033578332826236354560000000000
- 106348641638400000 cubed (1063486416384000003) is 1202806707940388552333128519441711104000000000000000
-
The
square root of 106348641638400000 is 326111394.5240184335 -
The
cube root of 106348641638400000 is 473780.6459490089
Scales and comparisons
How big is 106348641638400000?- 106,348,641,638,400,000 seconds is equal to 3,381,557,846 years, 8 weeks.
-
To count from 1 to 106,348,641,638,400,000 would take you about ten billion, one hundred forty-four million, six hundred seventy-three thousand, five hundred thirty-eight 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 106348641638400000 cubic inches would be around 39481.7 feet tall.
Recreational maths with 106348641638400000
- 106348641638400000 backwards is 000004836146843601
- 106348641638400000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 106348641638400000's digits is 54
- More coming soon!
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"Number 106348641638400000 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
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Numbermatics. (2024). Number 106348641638400000 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/106348641638400000/
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The information we have on file for 106348641638400000 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 106348641638400000, math, Factors of 106348641638400000, curriculum, school, college, exams, university, Prime factorization of 106348641638400000, STEM, science, technology, engineering, physics, economics, calculator, one hundred six quadrillion, three hundred forty-eight trillion, six hundred forty-one billion, six hundred thirty-eight million, four hundred thousand.