642438854737920000
642,438,854,737,920,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 642438854737920000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 5040 divisors.
642438854737920000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand and forty divisors.
Prime factorization of 642438854737920000:
220 × 33 × 54 × 23 × 292 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 23 × 29 × 29 × 1877)See below for interesting mathematical facts about the number 642438854737920000 from the Numbermatics database.
Names of 642438854737920000
- Cardinal: 642438854737920000 can be written as Six hundred forty-two quadrillion, four hundred thirty-eight trillion, eight hundred fifty-four billion, seven hundred thirty-seven million, nine hundred twenty thousand.
Scientific notation
- Scientific notation: 6.4243885473792 × 1017
Factors of 642438854737920000
Divisors of 642438854737920000
- Number of divisors d(n): 5040
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 29 30 32 36 40 45 46 48 50 54 58 60 64 69 72 75 80 87 90 92 96 100 108 115 116 120 125 128 135 138 144 145 150 160 174 180 184 192 200 207 216 225 230 232 240 250 256 261 270 276 288 290 300 320 345 348 360 368 375 384 400 414 432 435 450 460 464 480 500 512 522 540 552 575 576 580 600 621 625 640 667 675 690 696 720 725 736 750 768 783 800 828 841 864 870 900 920 928 960 1000 1024 1035 1044 1080 1104 1125 1150 1152 1160 1200 1242 1250 1280 1305 1334 1350 1380 1392 1440 1450 1472 1500 1536 1566 1600 1656 1682 1725 1728 1740 1800 1840 1856 1875 1877 1920 2000 2001 2048 2070 2088 2160 2175 2208 2250 2300 2304 2320 2400 2484 2500 2523 2560 2610 2668 2700 2760 2784 2875 2880 2900 2944 3000 3072 3105 3132 3200 3312 3335 3364 3375 3450 3456 3480 3600 3625 3680 3712 3750 3754 3840 3915 4000 4002 4096 4140 4176 4205 4320 4350 4416 4500 4600 4608 4640 4800 4968 5000 5046 5120 5175 5220 5336 5400 5520 5568 5625 5631 5750 5760 5800 5888 6000 6003 6144 6210 6264 6400 6525 6624 6670 6728 6750 6900 6912 6960 7200 7250 7360 7424 7500 7508 7569 7680 7830 8000 8004 8192 8280 8352 8410 8625 8640 8700 8832 9000 9200 9216 9280 9385 9600 9936 10000 10005 10092 10240 10350 10440 10672 10800 10875 11040 11136 11250 11262 11500 11520 11600 11776 12000 12006 12288 12420 12528 12615 12800 13050 13248 13340 13456 13500 13800 13824 13920 14375 14400 14500 14720 14848 15000 15016 15138 15360 15525 15660 16000 16008 16384 16560 16675 16704 16820 16875 16893 17250 17280 17400 17664 18000 18009 18125 18400 18432 18560 18770 19200 19343 19575 19872 20000 20010 20184 20480 20700 20880 21025 21344 21600 21750 22080 22272 22500 22524 22707 23000 23040 23200 23552 24000 24012 24576 24840 25056 25230 25600 25875 26100 26496 26680 26912 27000 27600 27648 27840 28155 28750 28800 29000 29440 29696 30000 30015 30032 30276 30720 31050 31320 32000 32016 32625 32768 33120 33350 33408 33640 33750 33786 34500 34560 34800 35328 36000 36018 36250 36800 36864 37120 37540 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10038107105280000 10707314245632000 11076531978240000 11897015828480000 12848777094758400 13384142807040000 13966062059520000 14276418994176000 16060971368448000 17845523742720000 20076214210560000 21414628491264000 22153063956480000 23794031656960000 25697554189516800 26768285614080000 27932124119040000 32121942736896000 35691047485440000 40152428421120000 42829256982528000 53536571228160000 64243885473792000 71382094970880000 80304856842240000 107073142456320000 128487770947584000 160609713684480000 214146284912640000 321219427368960000 642438854737920000
- Sum of all divisors σ(n): 2571968893328714880
- Sum of proper divisors (its aliquot sum) s(n): 1929530038590794880
- 642438854737920000 is an abundant number, because the sum of its proper divisors (1929530038590794880) is greater than itself. Its abundance is 1287091183852874880
Bases of 642438854737920000
- Binary: 1000111010100110011010111100000011101001000000000000000000002
- Hexadecimal: 0x8EA66BC0E900000
- Base-36: 4VPPKFIN9XC0
Squares and roots of 642438854737920000
- 642438854737920000 squared (6424388547379200002) is 412727682076970274831885926400000000
- 642438854737920000 cubed (6424388547379200003) is 265152299392165134313299742419089608409088000000000000
-
The
square root of 642438854737920000 is 801522834.8200193355 -
The
cube root of 642438854737920000 is 862867.1454028137
Scales and comparisons
How big is 642438854737920000?- 642,438,854,737,920,000 seconds is equal to 20,427,568,386 years, 42 weeks, 2 days.
-
To count from 1 to 642,438,854,737,920,000 would take you about sixty-one billion, two hundred eighty-two million, seven hundred five thousand, one hundred sixty 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 642438854737920000 cubic inches would be around 71905.6 feet tall.
Recreational maths with 642438854737920000
- 642438854737920000 backwards is 000029737458834246
- 642438854737920000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 642438854737920000's digits is 72
- More coming soon!
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"Number 642438854737920000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 642438854737920000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/642438854737920000/
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Numbermatics. 2024. "Number 642438854737920000 - Facts about the integer". https://numbermatics.com/n/642438854737920000/
The information we have on file for 642438854737920000 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 642438854737920000, math, Factors of 642438854737920000, curriculum, school, college, exams, university, Prime factorization of 642438854737920000, STEM, science, technology, engineering, physics, economics, calculator, six hundred forty-two quadrillion, four hundred thirty-eight trillion, eight hundred fifty-four billion, seven hundred thirty-seven million, nine hundred twenty thousand.