136426905538560000
136,426,905,538,560,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 136426905538560000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 5120 divisors.
136426905538560000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five thousand, one hundred twenty divisors.
Prime factorization of 136426905538560000:
215 × 33 × 54 × 7 × 13 × 331 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 13 × 331 × 8191)See below for interesting mathematical facts about the number 136426905538560000 from the Numbermatics database.
Names of 136426905538560000
- Cardinal: 136426905538560000 can be written as One hundred thirty-six quadrillion, four hundred twenty-six trillion, nine hundred five billion, five hundred thirty-eight million, five hundred sixty thousand.
Scientific notation
- Scientific notation: 1.3642690553856 × 1017
Factors of 136426905538560000
Divisors of 136426905538560000
- Number of divisors d(n): 5120
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 54 56 60 63 64 65 70 72 75 78 80 84 90 91 96 100 104 105 108 112 117 120 125 126 128 130 135 140 144 150 156 160 168 175 180 182 189 192 195 200 208 210 216 224 225 234 240 250 252 256 260 270 273 280 288 300 312 315 320 325 331 336 350 351 360 364 375 378 384 390 400 416 420 432 448 450 455 468 480 500 504 512 520 525 540 546 560 576 585 600 624 625 630 640 650 662 672 675 700 702 720 728 750 756 768 780 800 819 832 840 864 875 896 900 910 936 945 960 975 993 1000 1008 1024 1040 1050 1080 1092 1120 1125 1152 1170 1200 1248 1250 1260 1280 1300 1324 1344 1350 1365 1400 1404 1440 1456 1500 1512 1536 1560 1575 1600 1625 1638 1655 1664 1680 1728 1750 1755 1792 1800 1820 1872 1875 1890 1920 1950 1986 2000 2016 2048 2080 2100 2160 2184 2240 2250 2275 2304 2317 2340 2400 2457 2496 2500 2520 2560 2600 2625 2648 2688 2700 2730 2800 2808 2880 2912 2925 2979 3000 3024 3072 3120 3150 3200 3250 3276 3310 3328 3360 3375 3456 3500 3510 3584 3600 3640 3744 3750 3780 3840 3900 3972 4000 4032 4095 4096 4160 4200 4303 4320 4368 4375 4480 4500 4550 4608 4634 4680 4725 4800 4875 4914 4965 4992 5000 5040 5120 5200 5250 5296 5376 5400 5460 5600 5616 5625 5760 5824 5850 5958 6000 6048 6144 6240 6300 6400 6500 6552 6620 6656 6720 6750 6825 6912 6951 7000 7020 7168 7200 7280 7488 7500 7560 7680 7800 7875 7944 8000 8064 8125 8190 8191 8192 8275 8320 8400 8606 8640 8736 8750 8775 8937 8960 9000 9100 9216 9268 9360 9450 9600 9750 9828 9930 9984 10000 10080 10240 10400 10500 10592 10752 10800 10920 11200 11232 11250 11375 11520 11585 11648 11700 11916 12000 12096 12285 12288 12480 12600 12800 12909 13000 13104 13125 13240 13312 13440 13500 13650 13824 13902 14000 14040 14336 14400 14560 14625 14895 14976 15000 15120 15360 15600 15750 15888 16000 16128 16250 16380 16382 16384 16550 16640 16800 16875 17212 17280 17472 17500 17550 17874 17920 18000 18200 18432 18536 18720 18900 19200 19500 19656 19860 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2131670399040000 2165506437120000 2273781758976000 2436194741760000 2526424176640000 2623594337280000 2728538110771200 2842227198720000 3031709011968000 3248259655680000 3410672638464000 3498125783040000 3789636264960000 3897911586816000 4263340798080000 4547563517952000 4872389483520000 5052848353280000 5247188674560000 5457076221542400 5684454397440000 6496519311360000 6821345276928000 7579272529920000 8526681596160000 9095127035904000 9744778967040000 10494377349120000 11368908794880000 13642690553856000 15158545059840000 17053363192320000 19489557934080000 22737817589760000 27285381107712000 34106726384640000 45475635179520000 68213452769280000 136426905538560000
- Sum of all divisors σ(n): 623634853606195200
- Sum of proper divisors (its aliquot sum) s(n): 487207948067635200
- 136426905538560000 is an abundant number, because the sum of its proper divisors (487207948067635200) is greater than itself. Its abundance is 350781042529075200
Bases of 136426905538560000
- Binary: 1111001001010111110001100001110100110111010000000000000002
- Hexadecimal: 0x1E4AF8C3A6E8000
- Base-36: 11BBAV6NCAO0
Squares and roots of 136426905538560000
- 136426905538560000 squared (1364269055385600002) is 18612300554827173203646873600000000
- 136426905538560000 cubed (1364269055385600003) is 2539218569648694636880200078730268246016000000000000
-
The
square root of 136426905538560000 is 369360129.8713221971 -
The
cube root of 136426905538560000 is 514793.8415594425
Scales and comparisons
How big is 136426905538560000?- 136,426,905,538,560,000 seconds is equal to 4,337,953,600 years.
-
To count from 1 to 136,426,905,538,560,000 would take you about thirteen billion, thirteen million, eight hundred sixty thousand, eight hundred 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 136426905538560000 cubic inches would be around 42899.5 feet tall.
Recreational maths with 136426905538560000
- 136426905538560000 backwards is 000065835509624631
- 136426905538560000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 136426905538560000's digits is 63
- More coming soon!
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"Number 136426905538560000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 136426905538560000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/136426905538560000/
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The information we have on file for 136426905538560000 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 136426905538560000, math, Factors of 136426905538560000, curriculum, school, college, exams, university, Prime factorization of 136426905538560000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-six quadrillion, four hundred twenty-six trillion, nine hundred five billion, five hundred thirty-eight million, five hundred sixty thousand.