13416314428800000
13,416,314,428,800,000 is an even composite number composed of seven prime numbers multiplied together.
13416314428800000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, two hundred twenty-four divisors.
Prime factorization of 13416314428800000:
210 × 33 × 55 × 17 × 61 × 137 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 17 × 61 × 137 × 1093)See below for interesting mathematical facts about the number 13416314428800000 from the Numbermatics database.
Names of 13416314428800000
- Cardinal: 13416314428800000 can be written as Thirteen quadrillion, four hundred sixteen trillion, three hundred fourteen billion, four hundred twenty-eight million, eight hundred thousand.
Scientific notation
- Scientific notation: 1.34163144288 × 1016
Factors of 13416314428800000
Divisors of 13416314428800000
- Number of divisors d(n): 4224
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 61 64 68 72 75 80 85 90 96 100 102 108 120 122 125 128 135 136 137 144 150 153 160 170 180 183 192 200 204 216 225 240 244 250 255 256 270 272 274 288 300 305 306 320 340 360 366 375 384 400 408 411 425 432 450 459 480 488 500 510 512 540 544 548 549 576 600 610 612 625 640 675 680 685 720 732 750 765 768 800 816 822 850 864 900 915 918 960 976 1000 1020 1024 1037 1080 1088 1093 1096 1098 1125 1152 1200 1220 1224 1233 1250 1275 1280 1350 1360 1370 1440 1464 1500 1525 1530 1536 1600 1632 1644 1647 1700 1728 1800 1830 1836 1875 1920 1952 2000 2040 2055 2074 2125 2160 2176 2186 2192 2196 2250 2295 2304 2329 2400 2440 2448 2466 2500 2550 2560 2700 2720 2740 2745 2880 2928 3000 3050 3060 3072 3111 3125 3200 3264 3279 3288 3294 3375 3400 3425 3456 3600 3660 3672 3699 3750 3825 3840 3904 4000 4080 4110 4148 4250 4320 4352 4372 4384 4392 4500 4575 4590 4608 4658 4800 4880 4896 4932 5000 5100 5120 5185 5400 5440 5465 5480 5490 5625 5760 5856 6000 6100 6120 6165 6222 6250 6375 6400 6528 6558 6576 6588 6750 6800 6850 6912 6987 7200 7320 7344 7398 7500 7625 7650 7680 7808 8000 8160 8220 8235 8296 8357 8500 8640 8704 8744 8768 8784 9000 9150 9180 9216 9316 9333 9375 9600 9760 9792 9837 9864 10000 10200 10275 10370 10625 10800 10880 10930 10960 10980 11250 11475 11520 11645 11712 12000 12200 12240 12330 12444 12500 12750 12800 13056 13116 13152 13176 13500 13600 13700 13725 13824 13974 14400 14640 14688 14796 15000 15250 15300 15360 15555 15616 16000 16320 16395 16440 16470 16592 16714 16875 17000 17125 17280 17408 17488 17536 17568 18000 18300 18360 18495 18581 18632 18666 18750 19125 19200 19520 19584 19674 19728 20000 20400 20550 20740 20961 21250 21600 21760 21860 21920 21960 22500 22875 22950 23040 23290 23424 24000 24400 24480 24660 24888 25000 25071 25500 25600 25925 26112 26232 26304 26352 27000 27200 27325 27400 27450 27648 27948 27999 28125 28800 29280 29376 29511 29592 30000 30500 30600 30825 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248450267200000 263064988800000 268326288576000 279506550600000 298140320640000 335407860720000 372675400800000 394597483200000 419259825900000 447210480960000 496900534400000 536652577152000 559013101200000 670815721440000 745350801600000 789194966400000 838519651800000 894420961920000 1118026202400000 1341631442880000 1490701603200000 1677039303600000 2236052404800000 2683262885760000 3354078607200000 4472104809600000 6708157214400000 13416314428800000
- Sum of all divisors σ(n): 53885346014626560
- Sum of proper divisors (its aliquot sum) s(n): 40469031585826560
- 13416314428800000 is an abundant number, because the sum of its proper divisors (40469031585826560) is greater than itself. Its abundance is 27052717157026560
Bases of 13416314428800000
- Binary: 1011111010101000010001000111111011100100111100000000002
- Hexadecimal: 0x2FAA111FB93C00
- Base-36: 3O3OPRFXMO0
Squares and roots of 13416314428800000
- 13416314428800000 squared (134163144288000002) is 179997492852427070269440000000000
- 13416314428800000 cubed (134163144288000003) is 2414902960503842171955599375695872000000000000000
-
The
square root of 13416314428800000 is 115828815.1920755855 -
The
cube root of 13416314428800000 is 237617.1281397883
Scales and comparisons
How big is 13416314428800000?- 13,416,314,428,800,000 seconds is equal to 426,597,299 years, 23 weeks, 3 days.
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To count from 1 to 13,416,314,428,800,000 would take you about one billion, two hundred seventy-nine million, seven hundred ninety-one thousand, eight hundred ninety-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 13416314428800000 cubic inches would be around 19801.4 feet tall.
Recreational maths with 13416314428800000
- 13416314428800000 backwards is 00000882441361431
- 13416314428800000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13416314428800000's digits is 45
- More coming soon!
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The information we have on file for 13416314428800000 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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