6428916393984000
6,428,916,393,984,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 6428916393984000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3840 divisors.
6428916393984000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 6428916393984000:
214 × 33 × 53 × 7 × 19 × 131 × 6673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 19 × 131 × 6673)See below for interesting mathematical facts about the number 6428916393984000 from the Numbermatics database.
Names of 6428916393984000
- Cardinal: 6428916393984000 can be written as Six quadrillion, four hundred twenty-eight trillion, nine hundred sixteen billion, three hundred ninety-three million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 6.428916393984 × 1015
Factors of 6428916393984000
Divisors of 6428916393984000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 27 28 30 32 35 36 38 40 42 45 48 50 54 56 57 60 63 64 70 72 75 76 80 84 90 95 96 100 105 108 112 114 120 125 126 128 131 133 135 140 144 150 152 160 168 171 175 180 189 190 192 200 210 216 224 225 228 240 250 252 256 262 266 270 280 285 288 300 304 315 320 336 342 350 360 375 378 380 384 393 399 400 420 432 448 450 456 475 480 500 504 512 513 524 525 532 540 560 570 576 600 608 630 640 655 665 672 675 684 700 720 750 756 760 768 786 798 800 840 855 864 875 896 900 912 917 945 950 960 1000 1008 1024 1026 1048 1050 1064 1080 1120 1125 1140 1152 1179 1197 1200 1216 1260 1280 1310 1330 1344 1350 1368 1400 1425 1440 1500 1512 1520 1536 1572 1575 1596 1600 1680 1710 1728 1750 1792 1800 1824 1834 1890 1900 1920 1965 1995 2000 2016 2048 2052 2096 2100 2128 2160 2240 2250 2280 2304 2358 2375 2394 2400 2432 2489 2520 2560 2565 2620 2625 2660 2688 2700 2736 2751 2800 2850 2880 3000 3024 3040 3072 3144 3150 3192 3200 3275 3325 3360 3375 3420 3456 3500 3537 3584 3591 3600 3648 3668 3780 3800 3840 3930 3990 4000 4032 4096 4104 4192 4200 4256 4275 4320 4480 4500 4560 4585 4608 4716 4725 4750 4788 4800 4864 4978 5040 5120 5130 5240 5250 5320 5376 5400 5472 5502 5600 5700 5760 5895 5985 6000 6048 6080 6144 6288 6300 6384 6400 6550 6650 6673 6720 6750 6840 6912 7000 7074 7125 7168 7182 7200 7296 7336 7467 7560 7600 7680 7860 7875 7980 8000 8064 8192 8208 8253 8384 8400 8512 8550 8640 8960 9000 9120 9170 9216 9432 9450 9500 9576 9600 9728 9825 9956 9975 10080 10240 10260 10480 10500 10640 10752 10800 10944 11004 11200 11400 11520 11790 11970 12000 12096 12160 12288 12445 12576 12600 12768 12800 12825 13100 13300 13346 13440 13500 13680 13755 13824 14000 14148 14250 14336 14364 14400 14592 14672 14934 15120 15200 15360 15720 15750 15960 16000 16128 16375 16384 16416 16506 16625 16768 16800 17024 17100 17280 17423 17685 17920 17955 18000 18240 18340 18432 18864 18900 19000 19152 19200 19456 19650 19912 19950 20019 20160 20480 20520 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28700519616000 29763501824000 30613887590400 32144581969920 33483939552000 33836402073600 34015430656000 35716202188800 36736665108480 37596002304000 38267359488000 40180727462400 42295502592000 42859442626560 44645252736000 45920831385600 47621602918400 48337717248000 49075697664000 50225909328000 51023145984000 51431331151872 53574303283200 56394003456000 57401039232000 59527003648000 61227775180800 64289163939840 66967879104000 67672804147200 71432404377600 76534718976000 80361454924800 84591005184000 85718885253120 89290505472000 91841662771200 100451818656000 102046291968000 107148606566400 112788006912000 114802078464000 119054007296000 128578327879680 133935758208000 142864808755200 153069437952000 160722909849600 169182010368000 178581010944000 183683325542400 200903637312000 214297213132800 229604156928000 238108014592000 257156655759360 267871516416000 306138875904000 321445819699200 338364020736000 357162021888000 401807274624000 428594426265600 459208313856000 535743032832000 642891639398400 714324043776000 803614549248000 918416627712000 1071486065664000 1285783278796800 1607229098496000 2142972131328000 3214458196992000 6428916393984000
- Sum of all divisors σ(n): 28820491770470400
- Sum of proper divisors (its aliquot sum) s(n): 22391575376486400
- 6428916393984000 is an abundant number, because the sum of its proper divisors (22391575376486400) is greater than itself. Its abundance is 15962658982502400
Bases of 6428916393984000
- Binary: 101101101011100010000101111011111010001000000000000002
- Hexadecimal: 0x16D710BDF44000
- Base-36: 1RAUZF39XC0
Squares and roots of 6428916393984000
- 6428916393984000 squared (64289163939840002) is 41330966000836237911392256000000
- 6428916393984000 cubed (64289163939840003) is 265713324901971412161820614156462587904000000000
-
The
square root of 6428916393984000 is 80180523.7821754317 -
The
cube root of 6428916393984000 is 185942.7541291433
Scales and comparisons
How big is 6428916393984000?- 6,428,916,393,984,000 seconds is equal to 204,419,655 years, 20 weeks.
-
To count from 1 to 6,428,916,393,984,000 would take you about six hundred thirteen million, two hundred fifty-eight thousand, nine hundred sixty-six 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 6428916393984000 cubic inches would be around 15495.2 feet tall.
Recreational maths with 6428916393984000
- 6428916393984000 backwards is 0004893936198246
- 6428916393984000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 6428916393984000's digits is 72
- More coming soon!
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"Number 6428916393984000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 6428916393984000 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/6428916393984000/
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The information we have on file for 6428916393984000 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 6428916393984000, math, Factors of 6428916393984000, curriculum, school, college, exams, university, Prime factorization of 6428916393984000, STEM, science, technology, engineering, physics, economics, calculator, six quadrillion, four hundred twenty-eight trillion, nine hundred sixteen billion, three hundred ninety-three million, nine hundred eighty-four thousand.