84134842454016000
84,134,842,454,016,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 84134842454016000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3072 divisors.
84134842454016000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 84134842454016000:
215 × 32 × 53 × 17 × 31 × 1633
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17 × 31 × 163 × 163 × 163)See below for interesting mathematical facts about the number 84134842454016000 from the Numbermatics database.
Names of 84134842454016000
- Cardinal: 84134842454016000 can be written as Eighty-four quadrillion, one hundred thirty-four trillion, eight hundred forty-two billion, four hundred fifty-four million, sixteen thousand.
Scientific notation
- Scientific notation: 8.4134842454016 × 1016
Factors of 84134842454016000
Divisors of 84134842454016000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 30 31 32 34 36 40 45 48 50 51 60 62 64 68 72 75 80 85 90 93 96 100 102 120 124 125 128 136 144 150 153 155 160 163 170 180 186 192 200 204 225 240 248 250 255 256 272 279 288 300 306 310 320 326 340 360 372 375 384 400 408 425 450 465 480 489 496 500 510 512 527 544 558 576 600 612 620 640 652 680 720 744 750 765 768 775 800 815 816 850 900 930 960 978 992 1000 1020 1024 1054 1088 1116 1125 1152 1200 1224 1240 1275 1280 1304 1360 1395 1440 1467 1488 1500 1530 1536 1550 1581 1600 1630 1632 1700 1800 1860 1920 1956 1984 2000 2040 2048 2108 2125 2176 2232 2250 2304 2325 2400 2445 2448 2480 2550 2560 2608 2635 2720 2771 2790 2880 2934 2976 3000 3060 3072 3100 3162 3200 3260 3264 3400 3600 3720 3825 3840 3875 3912 3968 4000 4075 4080 4096 4216 4250 4352 4464 4500 4608 4650 4743 4800 4890 4896 4960 5053 5100 5120 5216 5270 5440 5542 5580 5760 5868 5952 6000 6120 6144 6200 6324 6375 6400 6520 6528 6800 6975 7200 7335 7440 7650 7680 7750 7824 7905 7936 8000 8150 8160 8192 8313 8432 8500 8704 8928 9000 9216 9300 9486 9600 9780 9792 9920 10106 10200 10240 10432 10540 10880 11084 11160 11520 11625 11736 11904 12000 12225 12240 12288 12400 12648 12750 12800 13040 13056 13175 13600 13855 13950 14400 14670 14880 15159 15300 15360 15500 15648 15810 15872 16000 16300 16320 16384 16626 16864 17000 17408 17856 18000 18432 18600 18972 19125 19200 19560 19584 19840 20212 20375 20400 20480 20864 21080 21760 22168 22320 23040 23250 23472 23715 23808 24000 24450 24480 24576 24800 24939 25265 25296 25500 25600 26080 26112 26350 26569 27200 27710 27900 28800 29340 29760 30318 30600 30720 31000 31296 31620 31744 32000 32600 32640 32768 33252 33728 34000 34816 34875 35712 36000 36675 36864 37200 37944 38250 38400 39120 39168 39525 39680 40424 40750 40800 40960 41565 41728 42160 43520 44336 44640 45477 46080 46500 46944 47430 47616 48000 48900 48960 49152 49600 49878 50530 50592 51000 51200 52160 52224 52700 53138 54400 55420 55800 57600 58680 59520 60636 61125 61200 61440 62000 62592 63240 63488 64000 65200 65280 65875 66504 67456 68000 69275 69632 69750 71424 72000 73350 73728 74400 75795 75888 76500 76800 78240 78336 79050 79360 79707 80848 81500 81600 81920 83130 83456 84320 85901 87040 88672 89280 90954 92160 93000 93888 94860 95232 96000 97800 97920 98304 99200 99756 101060 101184 102000 102400 104320 104448 105400 106276 108800 110840 111600 115200 117360 118575 119040 121272 122250 122400 122880 124000 124695 125184 126325 126480 126976 128000 130400 130560 131750 132845 133008 134912 136000 138550 139264 139500 142848 144000 146700 147456 148800 151590 151776 153000 153600 156480 156672 158100 158720 159414 161696 163000 163200 163840 166260 166912 168640 171802 174080 177344 178560 181908 183375 184320 186000 187776 189720 190464 192000 195600 195840 197625 198400 199512 202120 202368 204000 204800 207825 208640 208896 210800 212552 217600 221680 223200 227385 230400 234720 237150 238080 239121 242544 244500 244800 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28271116416000 28675815424000 29213486963200 30155857510400 30362628096000 30931927372800 31929731481600 32260292352000 32865172833600 32994055864320 33925339699200 34368808192000 34410978508800 35056184355840 36187029012480 36516858704000 37393263312896 37694821888000 38664909216000 39592867037184 39912164352000 41081466042000 41242569830400 42067421227008 42406674624000 43013723136000 43820230444800 45233786265600 46741579141120 49491083796480 51553212288000 51616467763200 52584276533760 53216219136000 54280543518720 54775288056000 54990093107200 56089894969344 56542232832000 57351630848000 58426973926400 60311715020800 61863854745600 64520584704000 65730345667200 65988111728640 67850679398400 68737616384000 70112368711680 73033717408000 74786526625792 75389643776000 77329818432000 79824328704000 82162932084000 82485139660800 84134842454016 84813349248000 86027446272000 87640460889600 90467572531200 93483158282240 98982167592960 103106424576000 103232935526400 105168553067520 108561087037440 109550576112000 109980186214400 112179789938688 113084465664000 116853947852800 123727709491200 129041169408000 131460691334400 135701358796800 137475232768000 140224737423360 146067434816000 150779287552000 154659636864000 159648657408000 164325864168000 164970279321600 168269684908032 169626698496000 172054892544000 175280921779200 180935145062400 186966316564480 197964335185920 206212849152000 210337106135040 219101152224000 224359579877376 226168931328000 233707895705600 247455418982400 258082338816000 262921382668800 271402717593600 274950465536000 280449474846720 292134869632000 301558575104000 309319273728000 328651728336000 329940558643200 336539369816064 339253396992000 350561843558400 373932633128960 412425698304000 420674212270080 438202304448000 452337862656000 467415791411200 494910837964800 516164677632000 525842765337600 542805435187200 549900931072000 560898949693440 584269739264000 618638547456000 657303456672000 673078739632128 678506793984000 701123687116800 824851396608000 841348424540160 876404608896000 904675725312000 934831582822400 989821675929600 1051685530675200 1121797899386880 1168539478528000 1237277094912000 1314606913344000 1357013587968000 1402247374233600 1649702793216000 1682696849080320 1752809217792000 1869663165644800 2103371061350400 2337078957056000 2474554189824000 2629213826688000 2714027175936000 2804494748467200 3365393698160640 3505618435584000 4206742122700800 4674157914112000 4949108379648000 5258427653376000 5608989496934400 7011236871168000 8413484245401600 9348315828224000 10516855306752000 14022473742336000 16826968490803200 21033710613504000 28044947484672000 42067421227008000 84134842454016000
- Sum of all divisors σ(n): 333579336336230400
- Sum of proper divisors (its aliquot sum) s(n): 249444493882214400
- 84134842454016000 is an abundant number, because the sum of its proper divisors (249444493882214400) is greater than itself. Its abundance is 165309651428198400
Bases of 84134842454016000
- Binary: 1001010101110100000110001100001011011010010000000000000002
- Hexadecimal: 0x12AE83185B48000
- Base-36: N0FB91FV280
Squares and roots of 84134842454016000
- 84134842454016000 squared (841348424540160002) is 7078671714762093057074528256000000
- 84134842454016000 cubed (841348424540160003) is 595562929505207984195688858443844572676096000000000
-
The
square root of 84134842454016000 is 290060066.9758179587 -
The
cube root of 84134842454016000 is 438186.1320028711
Scales and comparisons
How big is 84134842454016000?- 84,134,842,454,016,000 seconds is equal to 2,675,227,743 years, 45 weeks, 6 days, 8 hours.
-
To count from 1 to 84,134,842,454,016,000 would take you about eight billion, twenty-five million, six hundred eighty-three thousand, two hundred thirty-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 84134842454016000 cubic inches would be around 36515.5 feet tall.
Recreational maths with 84134842454016000
- 84134842454016000 backwards is 00061045424843148
- The number of decimal digits it has is: 17
- The sum of 84134842454016000's digits is 54
- More coming soon!
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"Number 84134842454016000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 84134842454016000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/84134842454016000/
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Numbermatics. 2024. "Number 84134842454016000 - Facts about the integer". https://numbermatics.com/n/84134842454016000/
The information we have on file for 84134842454016000 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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