842145331200000
842,145,331,200,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 842145331200000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1440 divisors.
842145331200000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 842145331200000:
214 × 3 × 55 × 23 × 127 × 1877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 23 × 127 × 1877)See below for interesting mathematical facts about the number 842145331200000 from the Numbermatics database.
Names of 842145331200000
- Cardinal: 842145331200000 can be written as Eight hundred forty-two trillion, one hundred forty-five billion, three hundred thirty-one million, two hundred thousand.
Scientific notation
- Scientific notation: 8.421453312 × 1014
Factors of 842145331200000
Divisors of 842145331200000
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 64 69 75 80 92 96 100 115 120 125 127 128 138 150 160 184 192 200 230 240 250 254 256 276 300 320 345 368 375 381 384 400 460 480 500 508 512 552 575 600 625 635 640 690 736 750 762 768 800 920 960 1000 1016 1024 1104 1150 1200 1250 1270 1280 1380 1472 1500 1524 1536 1600 1725 1840 1875 1877 1905 1920 2000 2032 2048 2208 2300 2400 2500 2540 2560 2760 2875 2921 2944 3000 3048 3072 3125 3175 3200 3450 3680 3750 3754 3810 3840 4000 4064 4096 4416 4600 4800 5000 5080 5120 5520 5631 5750 5842 5888 6000 6096 6144 6250 6350 6400 6900 7360 7500 7508 7620 7680 8000 8128 8192 8625 8763 8832 9200 9375 9385 9525 9600 10000 10160 10240 11040 11262 11500 11684 11776 12000 12192 12288 12500 12700 12800 13800 14375 14605 14720 15000 15016 15240 15360 15875 16000 16256 16384 17250 17526 17664 18400 18750 18770 19050 19200 20000 20320 20480 22080 22524 23000 23368 23552 24000 24384 24576 25000 25400 25600 27600 28155 28750 29210 29440 30000 30032 30480 30720 31750 32000 32512 34500 35052 35328 36800 37500 37540 38100 38400 40000 40640 40960 43125 43171 43815 44160 45048 46000 46736 46925 47104 47625 48000 48768 49152 50000 50800 51200 55200 56310 57500 58420 58880 60000 60064 60960 61440 63500 64000 65024 69000 70104 70656 71875 73025 73600 75000 75080 76200 76800 79375 80000 81280 81920 86250 86342 87630 88320 90096 92000 93472 93850 94208 95250 96000 97536 100000 101600 102400 110400 112620 115000 116840 117760 120000 120128 121920 122880 127000 128000 129513 130048 138000 140208 140775 141312 143750 146050 147200 150000 150160 152400 153600 158750 160000 162560 172500 172684 175260 176640 180192 184000 186944 187700 188416 190500 192000 195072 200000 203200 204800 215625 215855 219075 220800 225240 230000 233680 234625 235520 238125 238379 240000 240256 243840 245760 254000 256000 259026 260096 276000 280416 281550 282624 287500 292100 294400 300000 300320 304800 307200 317500 320000 325120 345000 345368 350520 353280 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1220500480000 1315852080000 1326213120000 1347432529920 1403575552000 1464600576000 1525625600000 1644815100000 1657766400000 1684290662400 1754469440000 1830750720000 2105363328000 2193086800000 2210355200000 2245720883200 2288438400000 2441000960000 2631704160000 2807151104000 3051251200000 3289630200000 3315532800000 3368581324800 3508938880000 3661501440000 4210726656000 4386173600000 4576876800000 5263408320000 5614302208000 6102502400000 6579260400000 6631065600000 6737162649600 7017877760000 7323002880000 8421453312000 8772347200000 9153753600000 10526816640000 11228604416000 12205004800000 13158520800000 14035755520000 16842906624000 17544694400000 18307507200000 21053633280000 26317041600000 28071511040000 33685813248000 35089388800000 36615014400000 42107266560000 52634083200000 56143022080000 70178777600000 84214533120000 105268166400000 140357555200000 168429066240000 210536332800000 280715110400000 421072665600000 842145331200000
- Sum of all divisors σ(n): 2953559408099328
- Sum of proper divisors (its aliquot sum) s(n): 2111414076899328
- 842145331200000 is an abundant number, because the sum of its proper divisors (2111414076899328) is greater than itself. Its abundance is 1269268745699328
Bases of 842145331200000
- Binary: 101111110111101101001111010101000011000000000000002
- Hexadecimal: 0x2FDED3D50C000
- Base-36: 8AIK82NCAO
Squares and roots of 842145331200000
- 842145331200000 squared (8421453312000002) is 709208758861957693440000000000
- 842145331200000 cubed (8421453312000003) is 597256845121744296822416867328000000000000000
-
The
square root of 842145331200000 is 29019740.3709957405 -
The
cube root of 842145331200000 is 94434.1368448215
Scales and comparisons
How big is 842145331200000?- 842,145,331,200,000 seconds is equal to 26,777,616 years, 31 weeks, 3 days, 10 hours, 40 minutes.
-
To count from 1 to 842,145,331,200,000 would take you about sixty-six million, nine hundred forty-four thousand and forty-one 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 842145331200000 cubic inches would be around 7869.5 feet tall.
Recreational maths with 842145331200000
- 842145331200000 backwards is 000002133541248
- The number of decimal digits it has is: 15
- The sum of 842145331200000's digits is 33
- More coming soon!
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The information we have on file for 842145331200000 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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