42225770188800000
42,225,770,188,800,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42225770188800000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 6144 divisors.
42225770188800000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six thousand, one hundred forty-four divisors.
Prime factorization of 42225770188800000:
215 × 37 × 55 × 11 × 61 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 11 × 61 × 281)See below for interesting mathematical facts about the number 42225770188800000 from the Numbermatics database.
Names of 42225770188800000
- Cardinal: 42225770188800000 can be written as Forty-two quadrillion, two hundred twenty-five trillion, seven hundred seventy billion, one hundred eighty-eight million, eight hundred thousand.
Scientific notation
- Scientific notation: 4.22257701888 × 1016
Factors of 42225770188800000
Divisors of 42225770188800000
- Number of divisors d(n): 6144
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 61 64 66 72 75 80 81 88 90 96 99 100 108 110 120 122 125 128 132 135 144 150 160 162 165 176 180 183 192 198 200 216 220 225 240 243 244 250 256 264 270 275 281 288 297 300 305 320 324 330 352 360 366 375 384 396 400 405 432 440 450 480 486 488 495 500 512 528 540 549 550 562 576 594 600 610 625 640 648 660 671 675 704 720 729 732 750 768 792 800 810 825 843 864 880 891 900 915 960 972 976 990 1000 1024 1056 1080 1098 1100 1124 1125 1152 1188 1200 1215 1220 1250 1280 1296 1320 1342 1350 1375 1405 1408 1440 1458 1464 1485 1500 1525 1536 1584 1600 1620 1647 1650 1686 1728 1760 1782 1800 1830 1875 1920 1944 1952 1980 2000 2013 2025 2048 2112 2160 2187 2196 2200 2248 2250 2304 2376 2400 2430 2440 2475 2500 2529 2560 2592 2640 2673 2684 2700 2745 2750 2810 2816 2880 2916 2928 2970 3000 3050 3072 3091 3125 3168 3200 3240 3294 3300 3355 3372 3375 3456 3520 3564 3600 3645 3660 3750 3840 3888 3904 3960 4000 4026 4050 4096 4125 4215 4224 4320 4374 4392 4400 4455 4496 4500 4575 4608 4752 4800 4860 4880 4941 4950 5000 5058 5120 5184 5280 5346 5368 5400 5490 5500 5620 5625 5632 5760 5832 5856 5940 6000 6039 6075 6100 6144 6182 6250 6336 6400 6480 6588 6600 6710 6744 6750 6875 6912 7025 7040 7128 7200 7290 7320 7425 7500 7587 7625 7680 7776 7808 7920 8000 8019 8052 8100 8192 8235 8250 8430 8448 8640 8748 8784 8800 8910 8992 9000 9150 9216 9273 9375 9504 9600 9720 9760 9882 9900 10000 10065 10116 10125 10240 10368 10560 10692 10736 10800 10935 10980 11000 11240 11250 11264 11520 11664 11712 11880 12000 12078 12150 12200 12288 12364 12375 12500 12645 12672 12800 12960 13176 13200 13365 13420 13488 13500 13725 13750 13824 14050 14080 14256 14400 14580 14640 14823 14850 15000 15174 15250 15360 15455 15552 15616 15840 16000 16038 16104 16200 16384 16470 16500 16775 16860 16875 16896 17141 17280 17496 17568 17600 17820 17984 18000 18117 18225 18300 18432 18546 18750 19008 19200 19440 19520 19764 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- Sum of all divisors σ(n): 176157618465830400
- Sum of proper divisors (its aliquot sum) s(n): 133931848277030400
- 42225770188800000 is an abundant number, because the sum of its proper divisors (133931848277030400) is greater than itself. Its abundance is 91706078088230400
Bases of 42225770188800000
- Binary: 100101100000010000011101010000000111100010000000000000002
- Hexadecimal: 0x96041D40788000
- Base-36: BJRSB11C000
Squares and roots of 42225770188800000
- 42225770188800000 squared (422257701888000002) is 1783015668037350787645440000000000
- 42225770188800000 cubed (422257701888000003) is 75289209841574883893887019696259072000000000000000
-
The
square root of 42225770188800000 is 205489099.9269790953 -
The
cube root of 42225770188800000 is 348224.3955844397
Scales and comparisons
How big is 42225770188800000?- 42,225,770,188,800,000 seconds is equal to 1,342,648,879 years, 6 weeks, 2 days.
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To count from 1 to 42,225,770,188,800,000 would take you about four billion, twenty-seven million, nine hundred forty-six thousand, six hundred thirty-seven 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 42225770188800000 cubic inches would be around 29018.7 feet tall.
Recreational maths with 42225770188800000
- 42225770188800000 backwards is 00000888107752224
- 42225770188800000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42225770188800000's digits is 54
- More coming soon!
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The information we have on file for 42225770188800000 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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