82137907872000
82,137,907,872,000 is an even composite number composed of six prime numbers multiplied together.
82137907872000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 82137907872000:
28 × 33 × 53 × 37 × 43 × 59753
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 37 × 43 × 59753)See below for interesting mathematical facts about the number 82137907872000 from the Numbermatics database.
Names of 82137907872000
- Cardinal: 82137907872000 can be written as Eighty-two trillion, one hundred thirty-seven billion, nine hundred seven million, eight hundred seventy-two thousand.
Scientific notation
- Scientific notation: 8.2137907872 × 1013
Factors of 82137907872000
Divisors of 82137907872000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 37 40 43 45 48 50 54 60 64 72 74 75 80 86 90 96 100 108 111 120 125 128 129 135 144 148 150 160 172 180 185 192 200 215 216 222 225 240 250 256 258 270 288 296 300 320 333 344 360 370 375 384 387 400 430 432 444 450 480 500 516 540 555 576 592 600 640 645 666 675 688 720 740 750 768 774 800 860 864 888 900 925 960 999 1000 1032 1075 1080 1110 1125 1152 1161 1184 1200 1280 1290 1332 1350 1376 1440 1480 1500 1548 1591 1600 1665 1720 1728 1776 1800 1850 1920 1935 1998 2000 2064 2150 2160 2220 2250 2304 2322 2368 2400 2580 2664 2700 2752 2775 2880 2960 3000 3096 3182 3200 3225 3330 3375 3440 3456 3552 3600 3700 3840 3870 3996 4000 4128 4300 4320 4440 4500 4625 4644 4736 4773 4800 4995 5160 5328 5375 5400 5504 5550 5760 5805 5920 6000 6192 6364 6400 6450 6660 6750 6880 6912 7104 7200 7400 7740 7955 7992 8000 8256 8325 8600 8640 8880 9000 9250 9288 9472 9546 9600 9675 9990 10320 10656 10750 10800 11008 11100 11520 11610 11840 12000 12384 12728 12900 13320 13500 13760 13875 14208 14319 14400 14800 15480 15910 15984 16000 16125 16512 16650 17200 17280 17760 18000 18500 18576 19092 19200 19350 19980 20640 21312 21500 21600 22200 23220 23680 23865 24000 24768 24975 25456 25800 26640 27000 27520 27750 28416 28638 28800 29025 29600 30960 31820 31968 32000 32250 33024 33300 34400 34560 35520 36000 37000 37152 38184 38700 39775 39960 41280 41625 42624 42957 43000 43200 44400 46440 47360 47730 48000 48375 49536 49950 50912 51600 53280 54000 55040 55500 57276 57600 58050 59200 59753 61920 63640 63936 64500 66600 68800 71040 71595 72000 74000 74304 76368 77400 79550 79920 82560 83250 85248 85914 86000 86400 88800 92880 95460 96000 96750 99072 99900 101824 103200 106560 108000 111000 114552 116100 118400 119325 119506 123840 124875 127280 127872 129000 133200 137600 142080 143190 144000 145125 148000 148608 152736 154800 159100 159840 165120 166500 171828 172000 172800 177600 179259 185760 190920 193500 198875 199800 203648 206400 213120 214785 216000 222000 229104 232200 236800 238650 239012 247680 249750 254560 255744 258000 266400 275200 286380 288000 290250 296000 297216 298765 305472 309600 318200 319680 333000 343656 344000 355200 357975 358518 371520 381840 387000 397750 399600 407296 412800 426240 429570 432000 444000 458208 464400 477300 478024 495360 499500 509120 516000 532800 537777 572760 580500 592000 596625 597530 610944 619200 636400 639360 666000 687312 688000 710400 715950 717036 743040 763680 774000 795500 799200 825600 859140 864000 888000 896295 916416 928800 954600 956048 999000 1018240 1032000 1065600 1073925 1075554 1145520 1161000 1184000 1193250 1195060 1221888 1238400 1272800 1278720 1332000 1374624 1376000 1431900 1434072 1486080 1493825 1527360 1548000 1591000 1598400 1613331 1718280 1776000 1789875 1792590 1832832 1857600 1909200 1912096 1998000 2036480 2064000 2131200 2147850 2151108 2210861 2291040 2322000 2386500 2390120 2476800 2545600 2569379 2664000 2688885 2749248 2863800 2868144 2987650 3054720 3096000 3182000 3196800 3226662 3436560 3552000 3579750 3585180 3665664 3715200 3818400 3824192 3996000 4128000 4295700 4302216 4421722 4481475 4582080 4644000 4773000 4780240 5091200 5138758 5328000 5369625 5377770 5498496 5727600 5736288 5975300 6109440 6192000 6364000 6393600 6453324 6632583 6873120 7159500 7170360 7430400 7469125 7636800 7648384 7708137 7992000 8066655 8591400 8604432 8843444 8962950 9164160 9288000 9546000 9560480 10182400 10277516 10656000 10739250 10755540 10996992 11054305 11455200 11472576 11950600 12384000 12728000 12846895 12906648 13265166 13444425 13746240 14319000 14340720 14938250 15273600 15296768 15416274 15984000 16133310 17182800 17208864 17686888 17925900 18328320 18576000 19092000 19120960 19897749 20555032 21478500 21511080 22108610 22407375 22910400 22945152 23124411 23901200 25456000 25693790 25813296 26530332 26888850 27492480 28638000 28681440 29876500 30547200 30832548 31968000 32266620 33162915 34365600 34417728 35373776 35851800 37152000 38184000 38241920 38540685 39795498 40333275 41110064 42957000 43022160 44217220 44814750 45820800 45890304 46248822 47802400 50912000 51387580 51626592 53060664 53777700 54984960 55271525 57276000 57362880 59693247 59753000 61665096 64234475 64533240 66325830 67222125 68731200 68835456 69373233 70747552 71703600 76368000 76483840 77081370 79590996 80666550 82220128 85914000 86044320 88434440 89629500 91641600 92497644 95067023 95604800 99488745 102775160 103253184 106121328 107555400 110543050 114552000 114725760 115622055 119386494 119506000 123330192 128468950 129066480 132651660 134444250 137462400 137670912 138746466 141495104 143407200 152736000 154162740 159181992 161333100 164440256 165814575 171828000 172088640 176868880 179259000 184995288 190134046 191209600 192703425 198977490 201666375 205550320 206506368 212242656 215110800 221086100 229104000 229451520 231244110 238772988 239012000 246660384 256937900 258132960 265303320 268888500 274924800 276357625 277492932 282990208 285201069 286814400 298466235 308325480 318363984 321172375 322666200 328880512 331629150 343656000 344177280 346866165 353737760 358518000 369990576 380268092 382419200 385406850 397954980 403332750 411100640 413012736 424485312 430221600 442172200 458208000 462488220 475335115 477545976 478024000 493320768 497443725 513875800 516265920 530606640 537777000 552715250 554985864 565980416 570402138 573628800 578110275 596932470 616650960 636727968 642344750 645332400 657761024 663258300 687312000 688354560 693732330 707475520 717036000 739981152 760536184 770813700 795909960 806665500 822201280 829072875 848970624 855603207 860443200 884344400 924976440 950670230 955091952 956048000 963517125 986641536 994887450 1027751600 1032531840 1061213280 1075554000 1105430500 1109971728 1140804276 1147257600 1156220550 1193864940 1233301920 1273455936 1284689500 1290664800 1326516600 1374624000 1387464660 1414951040 1426005345 1434072000 1479962304 1492331175 1521072368 1541627400 1591819920 1613331000 1644402560 1658145750 1697941248 1711206414 1720886400 1734330825 1768688800 1849952880 1901340460 1910183904 1912096000 1927034250 1973283072 1989774900 2055503200 2065063680 2122426560 2151108000 2210861000 2219943456 2281608552 2312441100 2376675575 2387729880 2466603840 2487218625 2546911872 2566809621 2569379000 2581329600 2653033200 2774929320 2829902080 2852010690 2868144000 2890551375 2959924608 2984662350 3042144736 3083254800 3183639840 3226662000 3288805120 3316291500 3422412828 3441772800 3468661650 3537377600 3699905760 3802680920 3820367808 3854068500 3979549800 4111006400 4244853120 4278016035 4302216000 4421722000 4439886912 4563217104 4624882200 4753351150 4775459760 4933207680 4974437250 5093823744 5133619242 5138758000 5162659200 5306066400 5549858640 5704021380 5736288000 5781102750 5919849216 5969324700 6084289472 6166509600 6367279680 6453324000 6632583000 6844825656 6937323300 7074755200 7130026725 7399811520 7461655875 7605361840 7640735616 7708137000 7959099600 8222012800 8489706240 8556032070 8604432000 8671654125 8843444000 8879773824 9126434208 9249764400 9506702300 9550919520 9866415360 9948874500 10267238484 10277516000 10325318400 10612132800 11099717280 11408042760 11562205500 11883377875 11938649400 12168578944 12333019200 12734559360 12834048105 12906648000 13265166000 13689651312 13874646600 14149510400 14260053450 14799623040 14923311750 15210723680 15281471232 15416274000 15918199200 16444025600 17112064140 17208864000 17343308250 17686888000 17759547648 18252868416 18499528800 19013404600 19101839040 19897749000 20534476968 20555032000 21224265600 21390080175 22199434560 22816085520 23124411000 23766755750 23877298800 24337157888 24666038400 25469118720 25668096210 25813296000 26530332000 27379302624 27749293200 28520106900 29599246080 29846623500 30421447360 30832548000 31836398400 34224128280 34686616500 35373776000 35650133625 36505736832 36999057600 38026809200 38203678080 39795498000 41068953936 41110064000 42448531200 42780160350 44398869120 45632171040 46248822000 47533511500 47754597600 49332076800 51336192420 51626592000 53060664000 54758605248 55498586400 57040213800 59693247000 60842894720 61665096000 63672796800 64170240525 68448256560 69373233000 70747552000 71300267250 73011473664 73998115200 76053618400 76407356160 79590996000 82137907872 82220128000 85560320700 88797738240 91264342080 92497644000 95067023000 95509195200 102672384840 106121328000 106950400875 109517210496 110997172800 114080427600 119386494000 121685789440 123330192000 127345593600 128340481050 136896513120 138746466000 142600534500 147996230400 152107236800 159181992000 164275815744 171120641400 182528684160 184995288000 190134046000 191018390400 205344769680 212242656000 213900801750 219034420992 221994345600 228160855200 238772988000 246660384000 256680962100 273793026240 277492932000 285201069000 304214473600 318363984000 320851202625 328551631488 342241282800 365057368320 369990576000 380268092000 382036780800 410689539360 427801603500 443988691200 456321710400 477545976000 513361924200 547586052480 554985864000 570402138000 608428947200 636727968000 641702405250 657103262976 684482565600 739981152000 760536184000 821379078720 855603207000 912643420800 955091952000 1026723848400 1095172104960 1109971728000 1140804276000 1283404810500 1368965131200 1521072368000 1642758157440 1711206414000 1825286841600 1910183904000 2053447696800 2219943456000 2281608552000 2566809621000 2737930262400 3042144736000 3285516314880 3422412828000 4106895393600 4563217104000 5133619242000 5475860524800 6844825656000 8213790787200 9126434208000 10267238484000 13689651312000 16427581574400 20534476968000 27379302624000 41068953936000 82137907872000
- Sum of all divisors σ(n): 318572838904320
- Sum of proper divisors (its aliquot sum) s(n): 236434931032320
- 82137907872000 is an abundant number, because the sum of its proper divisors (236434931032320) is greater than itself. Its abundance is 154297023160320
Bases of 82137907872000
- Binary: 100101010110100001110001101001001000001000000002
- Hexadecimal: 0x4AB438D24100
- Base-36: T45MTLXC0
Squares and roots of 82137907872000
- 82137907872000 squared (821379078720002) is 6746635909589159568384000000
- 82137907872000 cubed (821379078720003) is 554154558787761309997832275918848000000000
-
The
square root of 82137907872000 is 9062996.6276061253 -
The
cube root of 82137907872000 is 43469.1564281163
Scales and comparisons
How big is 82137907872000?- 82,137,907,872,000 seconds is equal to 2,611,731 years, 20 weeks, 6 days.
-
To count from 1 to 82,137,907,872,000 would take you about six million, five hundred twenty-nine thousand, three hundred twenty-eight 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 82137907872000 cubic inches would be around 3622.4 feet tall.
Recreational maths with 82137907872000
- 82137907872000 backwards is 00027870973128
- 82137907872000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 82137907872000's digits is 54
- 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 82137907872000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
APA style:
Numbermatics. (2024). Number 82137907872000 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/82137907872000/
Chicago style:
Numbermatics. 2024. "Number 82137907872000 - Facts about the integer". https://numbermatics.com/n/82137907872000/
The information we have on file for 82137907872000 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 82137907872000, math, Factors of 82137907872000, curriculum, school, college, exams, university, Prime factorization of 82137907872000, STEM, science, technology, engineering, physics, economics, calculator, eighty-two trillion, one hundred thirty-seven billion, nine hundred seven million, eight hundred seventy-two thousand.