42127687680000
42,127,687,680,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42127687680000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1520 divisors.
42127687680000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twenty divisors.
Prime factorization of 42127687680000:
218 × 3 × 54 × 13 × 19 × 347
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 13 × 19 × 347)See below for interesting mathematical facts about the number 42127687680000 from the Numbermatics database.
Names of 42127687680000
- Cardinal: 42127687680000 can be written as Forty-two trillion, one hundred twenty-seven billion, six hundred eighty-seven million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 4.212768768 × 1013
Factors of 42127687680000
Divisors of 42127687680000
- Number of divisors d(n): 1520
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 25 26 30 32 38 39 40 48 50 52 57 60 64 65 75 76 78 80 95 96 100 104 114 120 125 128 130 150 152 156 160 190 192 195 200 208 228 240 247 250 256 260 285 300 304 312 320 325 347 375 380 384 390 400 416 456 475 480 494 500 512 520 570 600 608 624 625 640 650 694 741 750 760 768 780 800 832 912 950 960 975 988 1000 1024 1040 1041 1140 1200 1216 1235 1248 1250 1280 1300 1388 1425 1482 1500 1520 1536 1560 1600 1625 1664 1735 1824 1875 1900 1920 1950 1976 2000 2048 2080 2082 2280 2375 2400 2432 2470 2496 2500 2560 2600 2776 2850 2964 3000 3040 3072 3120 3200 3250 3328 3470 3648 3705 3750 3800 3840 3900 3952 4000 4096 4160 4164 4511 4560 4750 4800 4864 4875 4940 4992 5000 5120 5200 5205 5552 5700 5928 6000 6080 6144 6175 6240 6400 6500 6593 6656 6940 7125 7296 7410 7500 7600 7680 7800 7904 8000 8125 8192 8320 8328 8675 9022 9120 9500 9600 9728 9750 9880 9984 10000 10240 10400 10410 11104 11400 11856 11875 12000 12160 12288 12350 12480 12800 13000 13186 13312 13533 13880 14250 14592 14820 15000 15200 15360 15600 15808 16000 16250 16384 16640 16656 17350 18044 18240 18525 19000 19200 19456 19500 19760 19779 19968 20000 20480 20800 20820 22208 22555 22800 23712 23750 24000 24320 24375 24576 24700 24960 25600 26000 26025 26372 26624 27066 27760 28500 29184 29640 30000 30400 30720 30875 31200 31616 32000 32500 32768 32965 33280 33312 34700 35625 36088 36480 37050 38000 38400 38912 39000 39520 39558 39936 40000 40960 41600 41640 43375 44416 45110 45600 47424 47500 48000 48640 48750 49152 49400 49920 51200 52000 52050 52744 53248 54132 55520 57000 58368 59280 60000 60800 61440 61750 62400 63232 64000 65000 65536 65930 66560 66624 67665 69400 71250 72176 72960 74100 76000 76800 77824 78000 79040 79116 79872 80000 81920 83200 83280 85709 86750 88832 90220 91200 92625 94848 95000 96000 97280 97500 98304 98800 98895 99840 102400 104000 104100 105488 106496 108264 111040 112775 114000 116736 118560 120000 121600 122880 123500 124800 126464 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216039424000 219415040000 221724672000 263298048000 270049280000 277155840000 280851251200 324059136000 329122560000 337021501440 351064064000 369541120000 405073920000 421276876800 438830080000 443449344000 526596096000 540098560000 554311680000 561702502400 648118272000 658245120000 702128128000 739082240000 810147840000 842553753600 877660160000 1053192192000 1080197120000 1108623360000 1316490240000 1404256256000 1620295680000 1685107507200 1755320320000 2106384384000 2217246720000 2632980480000 2808512512000 3240591360000 3510640640000 4212768768000 5265960960000 7021281280000 8425537536000 10531921920000 14042562560000 21063843840000 42127687680000
- Sum of all divisors σ(n): 159594304974720
- Sum of proper divisors (its aliquot sum) s(n): 117466617294720
- 42127687680000 is an abundant number, because the sum of its proper divisors (117466617294720) is greater than itself. Its abundance is 75338929614720
Bases of 42127687680000
- Binary: 10011001010000100111011101110000000000000000002
- Hexadecimal: 0x26509DDC0000
- Base-36: EXL6XJFUO
Squares and roots of 42127687680000
- 42127687680000 squared (421276876800002) is 1774742069263623782400000000
- 42127687680000 cubed (421276876800003) is 74765779606494870289967480832000000000000
-
The
square root of 42127687680000 is 6490584.5407020161 -
The
cube root of 42127687680000 is 34795.4566667443
Scales and comparisons
How big is 42127687680000?- 42,127,687,680,000 seconds is equal to 1,339,530 years, 8 weeks, 1 day, 18 hours, 40 minutes.
-
To count from 1 to 42,127,687,680,000 would take you about three million, three hundred forty-eight thousand, eight hundred twenty-five 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 42127687680000 cubic inches would be around 2899.6 feet tall.
Recreational maths with 42127687680000
- 42127687680000 backwards is 00008678672124
- The number of decimal digits it has is: 14
- The sum of 42127687680000's digits is 51
- More coming soon!
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The information we have on file for 42127687680000 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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