12340412084498400
12,340,412,084,498,400 is an even composite number composed of six prime numbers multiplied together.
12340412084498400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 12340412084498400:
25 × 32 × 52 × 72 × 29 × 1206154907
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 29 × 1206154907)See below for interesting mathematical facts about the number 12340412084498400 from the Numbermatics database.
Names of 12340412084498400
- Cardinal: 12340412084498400 can be written as Twelve quadrillion, three hundred forty trillion, four hundred twelve billion, eighty-four million, four hundred ninety-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.23404120844984 × 1016
Factors of 12340412084498400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 1206154953
Divisors of 12340412084498400
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 29 30 32 35 36 40 42 45 48 49 50 56 58 60 63 70 72 75 80 84 87 90 96 98 100 105 112 116 120 126 140 144 145 147 150 160 168 174 175 180 196 200 203 210 224 225 232 240 245 252 261 280 288 290 294 300 315 336 348 350 360 392 400 406 420 435 441 450 464 480 490 504 522 525 560 580 588 600 609 630 672 696 700 720 725 735 784 800 812 840 870 882 900 928 980 1008 1015 1044 1050 1120 1160 1176 1200 1218 1225 1260 1305 1392 1400 1421 1440 1450 1470 1568 1575 1624 1680 1740 1764 1800 1827 1960 2016 2030 2088 2100 2175 2205 2320 2352 2400 2436 2450 2520 2610 2784 2800 2842 2900 2940 3045 3150 3248 3360 3480 3528 3600 3654 3675 3920 4060 4176 4200 4263 4350 4410 4640 4704 4872 4900 5040 5075 5220 5600 5684 5800 5880 6090 6300 6496 6525 6960 7056 7105 7200 7308 7350 7840 8120 8352 8400 8526 8700 8820 9135 9744 9800 10080 10150 10440 11025 11368 11600 11760 12180 12600 12789 13050 13920 14112 14210 14616 14700 15225 16240 16800 17052 17400 17640 18270 19488 19600 20300 20880 21315 22050 22736 23200 23520 24360 25200 25578 26100 28420 29232 29400 30450 32480 34104 34800 35280 35525 36540 39200 40600 41760 42630 44100 45472 45675 48720 50400 51156 52200 56840 58464 58800 60900 63945 68208 69600 70560 71050 73080 81200 85260 88200 91350 97440 102312 104400 106575 113680 117600 121800 127890 136416 142100 146160 162400 170520 176400 182700 204624 208800 213150 227360 243600 255780 284200 292320 319725 341040 352800 365400 409248 426300 487200 511560 568400 639450 682080 730800 852600 1023120 1136800 1278900 1461600 1705200 2046240 2557800 3410400 5115600 10231200 1206154907 2412309814 3618464721 4824619628 6030774535 7236929442 8443084349 9649239256 10855394163 12061549070 14473858884 16886168698 18092323605 19298478512 21710788326 24123098140 25329253047 28947717768 30153872675 33772337396 34978492303 36184647210 38596957024 42215421745 43421576652 48246196280 50658506094 54276970815 57895435536 59101590443 60307745350 67544674792 69956984606 72369294420 75987759141 84430843490 86843153304 90461618025 96492392560 101317012188 104935476909 108553941630 115790871072 118203180886 120615490700 126646265235 135089349584 139913969212 144738588840 151975518282 168861686980 173686306608 174892461515 177304771329 180923236050 192984785120 202634024376 209870953818 211077108725 217107883260 236406361772 241230981400 244849446121 253292530470 270178699168 271384854075 279827938424 289477177680 295507952215 303951036564 314806430727 337723373960 347372613216 349784923030 354609542658 361846472100 379938795705 405268048752 419741907636 422154217450 434215766520 472812723544 482461962800 489698892242 506585060940 524677384545 531914313987 542769708150 559655876848 578954355360 591015904430 607902073128 629612861454 633231326175 675446747920 699569846060 709219085316 723692944200 734548338363 759877591410 810536097504 839483815272 844308434900 868431533040 874462307575 886523856645 945625447088 964923925600 979397784484 1013170121880 1049354769090 1063828627974 1085539416300 1119311753696 1182031808860 1215804146256 1224247230605 1259225722908 1266462652350 1350893495840 1399139692120 1418438170632 1447385888400 1469096676726 1477539761075 1519755182820 1574032153635 1678967630544 1688616869800 1713946122847 1736863066080 1748924615150 1773047713290 1891250894176 1899693978525 1958795568968 2026340243760 2098709538180 2127657255948 2171078832600 2203645015089 2364063617720 2431608292512 2448494461210 2518451445816 2532925304700 2623386922725 2659571569935 2798279384240 2836876341264 2894771776800 2938193353452 2955079522150 3039510365640 3148064307270 3357935261088 3377233739600 3427892245694 3497849230300 3546095426580 3672741691815 3799387957050 3917591137936 4052680487520 4197419076360 4255314511896 4342157665200 4407290030178 4432619283225 4728127235440 4896988922420 5036902891632 5065850609400 5141838368541 5246773845450 5319143139870 5596558768480 5673752682528 5876386706904 5910159044300 6079020731280 6121236153025 6296128614540 6754467479200 6855784491388 6995698460600 7092190853160 7345483383630 7598775914100 7835182275872 7870160768175 8394838152720 8510629023792 8569730614235 8684315330400 8814580060356 8865238566450 9456254470880 9793977844840 10073805783264 10131701218800 10283676737082 10493547690900 10638286279740 11018225075445 11752773413808 11820318088600 12158041462560 12242472306050 12592257229080 13297857849675 13711568982776 13991396921200 14184381706320 14690966767260 15197551828200 15425515105623 15740321536350 16789676305440 17021258047584 17139461228470 17629160120712 17730477132900 18363708459075 19587955689680 20263402437600 20567353474164 20987095381800 21276572559480 22036450150890 23505546827616 23640636177200 24484944612100 25184514458160 25709191842705 26595715699350 27423137965552 27982793842400 28368763412640 29381933534520 30395103656400 30851030211246 31480643072700 34278922456940 35258320241424 35460954265800 36727416918150 39175911379360 41134706948328 41974190763600 42553145118960 42848653071175 44072900301780 47281272354400 48969889224200 50369028916320 51418383685410 53191431398700 54846275931104 55091125377225 58763867069040 60790207312800 61702060422492 62961286145400 68557844913880 70516640482848 70921908531600 73454833836300 77127575528115 82269413896656 83948381527200 85106290237920 85697306142350 88145800603560 97939778448400 102836767370820 106382862797400 110182250754450 117527734138080 123404120844984 125922572290800 128545959213525 137115689827760 141843817063200 146909667672600 154255151056230 164538827793312 171394612284700 176291601207120 195879556896800 205673534741640 212765725594800 220364501508900 246808241689968 251845144581600 257091918427050 274231379655520 293819335345200 308510302112460 342789224569400 352583202414240 385637877640575 411347069483280 425531451189600 440729003017800 493616483379936 514183836854100 587638670690400 617020604224920 685578449138800 771275755281150 822694138966560 881458006035600 1028367673708200 1234041208449840 1371156898277600 1542551510562300 1762916012071200 2056735347416400 2468082416899680 3085103021124600 4113470694832800 6170206042249200 12340412084498400
- Sum of all divisors σ(n): 52365444500252520
- Sum of proper divisors (its aliquot sum) s(n): 40025032415754120
- 12340412084498400 is an abundant number, because the sum of its proper divisors (40025032415754120) is greater than itself. Its abundance is 27684620331255720
Bases of 12340412084498400
- Binary: 1010111101011110001010000101101010110110101111111000002
- Hexadecimal: 0x2BD78A16ADAFE0
- Base-36: 3DIB71R41K0
Squares and roots of 12340412084498400
- 12340412084498400 squared (123404120844984002) is 152285770415234145821579602560000
- 12340412084498400 cubed (123404120844984003) is 1879269161529304378760991733676816608955904000000
-
The
square root of 12340412084498400 is 111087407.4074032929 -
The
cube root of 12340412084498400 is 231087.5531542873
Scales and comparisons
How big is 12340412084498400?- 12,340,412,084,498,400 seconds is equal to 392,386,932 years, 46 weeks, 14 hours.
-
To count from 1 to 12,340,412,084,498,400 would take you about one billion, one hundred seventy-seven million, one hundred sixty thousand, seven hundred ninety-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 12340412084498400 cubic inches would be around 19257.3 feet tall.
Recreational maths with 12340412084498400
- 12340412084498400 backwards is 00489448021404321
- The number of decimal digits it has is: 17
- The sum of 12340412084498400'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 12340412084498400 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 12340412084498400 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/12340412084498400/
Chicago style:
Numbermatics. 2024. "Number 12340412084498400 - Facts about the integer". https://numbermatics.com/n/12340412084498400/
The information we have on file for 12340412084498400 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 12340412084498400, math, Factors of 12340412084498400, curriculum, school, college, exams, university, Prime factorization of 12340412084498400, STEM, science, technology, engineering, physics, economics, calculator, twelve quadrillion, three hundred forty trillion, four hundred twelve billion, eighty-four million, four hundred ninety-eight thousand, four hundred.