82142115328000
82,142,115,328,000 is an even composite number composed of six prime numbers multiplied together.
82142115328000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred thirty-two divisors.
Prime factorization of 82142115328000:
212 × 53 × 7 × 13 × 1093 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 13 × 1093 × 1613)See below for interesting mathematical facts about the number 82142115328000 from the Numbermatics database.
Names of 82142115328000
- Cardinal: 82142115328000 can be written as Eighty-two trillion, one hundred forty-two billion, one hundred fifteen million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 8.2142115328 × 1013
Factors of 82142115328000
Divisors of 82142115328000
- Number of divisors d(n): 832
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 64 65 70 80 91 100 104 112 125 128 130 140 160 175 182 200 208 224 250 256 260 280 320 325 350 364 400 416 448 455 500 512 520 560 640 650 700 728 800 832 875 896 910 1000 1024 1040 1093 1120 1280 1300 1400 1456 1600 1613 1625 1664 1750 1792 1820 2000 2048 2080 2186 2240 2275 2560 2600 2800 2912 3200 3226 3250 3328 3500 3584 3640 4000 4096 4160 4372 4480 4550 5120 5200 5465 5600 5824 6400 6452 6500 6656 7000 7168 7280 7651 8000 8065 8320 8744 8960 9100 10240 10400 10930 11200 11291 11375 11648 12800 12904 13000 13312 14000 14209 14336 14560 15302 16000 16130 16640 17488 17920 18200 20480 20800 20969 21860 22400 22582 22750 23296 25600 25808 26000 26624 27325 28000 28418 28672 29120 30604 32000 32260 33280 34976 35840 36400 38255 40325 41600 41938 43720 44800 45164 45500 46592 51200 51616 52000 53248 54650 56000 56455 56836 58240 61208 64000 64520 66560 69952 71045 71680 72800 76510 80650 83200 83876 87440 89600 90328 91000 93184 99463 102400 103232 104000 104845 109300 112000 112910 113672 116480 122416 128000 129040 133120 136625 139904 142090 143360 145600 146783 153020 161300 166400 167752 174880 179200 180656 182000 186368 191275 198926 201625 206464 208000 209690 218600 224000 225820 227344 232960 244832 256000 258080 266240 273250 279808 282275 284180 291200 293566 306040 322600 332800 335504 349760 355225 358400 361312 364000 372736 382550 397852 403250 412928 416000 419380 437200 448000 451640 454688 465920 489664 497315 512000 516160 524225 546500 559616 564550 568360 582400 587132 612080 645200 665600 671008 699520 710450 716800 722624 728000 733915 765100 795704 806500 825856 832000 838760 874400 896000 903280 909376 931840 956375 979328 994630 1032320 1048450 1093000 1119232 1129100 1136720 1164800 1174264 1224160 1290400 1331200 1342016 1399040 1411375 1420900 1445248 1456000 1467830 1530200 1591408 1613000 1651712 1664000 1677520 1748800 1763009 1776125 1792000 1806560 1818752 1863680 1912750 1958656 1989260 2064640 2096900 2186000 2238464 2258200 2273440 2329600 2348528 2448320 2486575 2580800 2621125 2684032 2798080 2822750 2841800 2890496 2912000 2935660 3060400 3182816 3226000 3303424 3328000 3355040 3497600 3526018 3552250 3584000 3613120 3637504 3669575 3825500 3917312 3978520 4129280 4193800 4372000 4476928 4516400 4546880 4659200 4697056 4896640 4973150 5161600 5242250 5368064 5596160 5645500 5683600 5780992 5824000 5871320 6120800 6365632 6452000 6606848 6656000 6710080 6995200 7052036 7104500 7226240 7275008 7339150 7651000 7834624 7957040 8258560 8387600 8744000 8815045 9032800 9093760 9318400 9394112 9793280 9946300 10323200 10484500 10736128 11192320 11291000 11367200 11561984 11648000 11742640 12241600 12341063 12432875 12731264 12904000 13420160 13990400 14104072 14209000 14452480 14550016 14678300 15302000 15669248 15914080 16517120 16775200 17488000 17630090 18065600 18187520 18347875 18788224 19586560 19892600 20646400 20969000 21472256 22384640 22582000 22734400 22919117 23123968 23296000 23485280 24483200 24682126 24865750 25462528 25808000 26840320 27980800 28208144 28418000 28904960 29100032 29356600 30604000 31338496 31828160 33034240 33550400 34976000 35260180 36131200 36375040 36695750 37576448 39173120 39785200 41292800 41938000 42944512 44075225 45164000 45468800 45838234 46247936 46592000 46970560 48966400 49364252 49731500 50925056 51616000 53680640 55961600 56416288 56836000 57809920 58200064 58713200 61208000 61705315 63656320 67100800 69952000 70520360 72262400 72750080 73391500 75152896 78346240 79570400 82585600 83876000 85889024 88150450 90328000 90937600 91676468 93941120 97932800 98728504 99463000 101850112 103232000 107361280 111923200 112832576 113672000 114595585 115619840 117426400 122416000 123410630 127312640 134201600 139904000 141040720 144524800 145500160 146783000 150305792 156692480 159140800 160433819 165171200 167752000 176300900 180656000 181875200 183352936 187882240 195865600 197457008 198926000 203700224 206464000 214722560 220376125 225665152 227344000 229191170 231239680 234852800 244832000 246821260 254625280 268403200 279808000 282081440 289049600 291000320 293566000 300611584 308526575 318281600 320867638 335504000 352601800 361312000 363750400 366705872 375764480 391731200 394914016 397852000 407400448 412928000 429445120 440752250 451330304 454688000 458382340 469705600 489664000 493642520 509250560 536806400 559616000 564162880 572977925 578099200 587132000 601223168 617053150 636563200 641735276 671008000 705203600 722624000 727500800 733411744 751528960 783462400 789828032 795704000 802169095 825856000 881504500 902660608 909376000 916764680 939411200 979328000 987285040 1018501120 1073612800 1128325760 1145955850 1156198400 1174264000 1234106300 1273126400 1283470552 1342016000 1410407200 1445248000 1455001600 1466823488 1503057920 1542632875 1579656064 1591408000 1604338190 1763009000 1805321216 1818752000 1833529360 1878822400 1958656000 1974570080 2037002240 2147225600 2256651520 2291911700 2348528000 2468212600 2546252800 2566941104 2684032000 2820814400 2864889625 2890496000 2933646976 3006115840 3085265750 3159312128 3182816000 3208676380 3526018000 3610642432 3637504000 3667058720 3757644800 3917312000 3949140160 4010845475 4513303040 4583823400 4697056000 4936425200 5092505600 5133882208 5368064000 5641628800 5729779250 5780992000 5867293952 6170531500 6318624256 6365632000 6417352760 7052036000 7221284864 7275008000 7334117440 7515289600 7898280320 8021690950 9026606080 9167646800 9394112000 9872850400 10185011200 10267764416 10736128000 11283257600 11459558500 11734587904 12341063000 12637248512 12731264000 12834705520 14104072000 14668234880 15030579200 15796560640 16043381900 18053212160 18335293600 18788224000 19745700800 20054227375 20535528832 22566515200 22919117000 23469175808 24682126000 25274497024 25462528000 25669411040 28208144000 29336469760 31593121280 32086763800 36106424320 36670587200 37576448000 39491401600 40108454750 41071057664 45133030400 45838234000 46938351616 49364252000 50548994048 50925056000 51338822080 56416288000 58672939520 63186242560 64173527600 73341174400 75152896000 78982803200 80216909500 82142115328 90266060800 91676468000 93876703232 98728504000 102677644160 112832576000 117345879040 126372485120 128347055200 146682348800 157965606400 160433819000 164284230656 180532121600 183352936000 197457008000 205355288320 225665152000 234691758080 252744970240 256694110400 293364697600 315931212800 320867638000 328568461312 366705872000 394914016000 410710576640 451330304000 469383516160 513388220800 586729395200 631862425600 641735276000 657136922624 733411744000 789828032000 821421153280 902660608000 1026776441600 1173458790400 1263724851200 1283470552000 1466823488000 1579656064000 1642842306560 2053552883200 2346917580800 2566941104000 2933646976000 3159312128000 3285684613120 4107105766400 5133882208000 5867293952000 6318624256000 8214211532800 10267764416000 11734587904000 16428423065600 20535528832000 41071057664000 82142115328000
- Sum of all divisors σ(n): 252697182296832
- Sum of proper divisors (its aliquot sum) s(n): 170555066968832
- 82142115328000 is an abundant number, because the sum of its proper divisors (170555066968832) is greater than itself. Its abundance is 88412951640832
Bases of 82142115328000
- Binary: 100101010110101001100111001101011110000000000002
- Hexadecimal: 0x4AB5339AF000
- Base-36: T47KEMB5S
Squares and roots of 82142115328000
- 82142115328000 squared (821421153280002) is 6747327110558452547584000000
- 82142115328000 cubed (821421153280003) is 554239721671233415648860335767552000000000
-
The
square root of 82142115328000 is 9063228.7474166733 -
The
cube root of 82142115328000 is 43469.8986409993
Scales and comparisons
How big is 82142115328000?- 82,142,115,328,000 seconds is equal to 2,611,865 years, 9 weeks, 4 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 82,142,115,328,000 would take you about six million, five hundred twenty-nine thousand, six hundred sixty-two 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 82142115328000 cubic inches would be around 3622.5 feet tall.
Recreational maths with 82142115328000
- 82142115328000 backwards is 00082351124128
- The number of decimal digits it has is: 14
- The sum of 82142115328000's digits is 37
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 82142115328000 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
APA style:
Numbermatics. (2024). Number 82142115328000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/82142115328000/
Chicago style:
Numbermatics. 2024. "Number 82142115328000 - Facts about the integer". https://numbermatics.com/n/82142115328000/
The information we have on file for 82142115328000 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 82142115328000, math, Factors of 82142115328000, curriculum, school, college, exams, university, Prime factorization of 82142115328000, STEM, science, technology, engineering, physics, economics, calculator, eighty-two trillion, one hundred forty-two billion, one hundred fifteen million, three hundred twenty-eight thousand.