12513829764941768991
12,513,829,764,941,768,991 is an odd composite number composed of five prime numbers multiplied together.
What does the number 12513829764941768991 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1000 divisors.
12513829764941768991 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand divisors.
Prime factorization of 12513829764941768991:
3 × 74 × 133 × 234 × 414
(3 × 7 × 7 × 7 × 7 × 13 × 13 × 13 × 23 × 23 × 23 × 23 × 41 × 41 × 41 × 41)See below for interesting mathematical facts about the number 12513829764941768991 from the Numbermatics database.
Names of 12513829764941768991
- Cardinal: 12513829764941768991 can be written as Twelve quintillion, five hundred thirteen quadrillion, eight hundred twenty-nine trillion, seven hundred sixty-four billion, nine hundred forty-one million, seven hundred sixty-eight thousand, nine hundred ninety-one.
Scientific notation
- Scientific notation: 1.2513829764941768991 × 1019
Factors of 12513829764941768991
Divisors of 12513829764941768991
- Number of divisors d(n): 1000
-
Complete list of divisors:
1 3 7 13 21 23 39 41 49 69 91 123 147 161 169 273 287 299 343 483 507 529 533 637 861 897 943 1029 1127 1183 1587 1599 1681 1911 2009 2093 2197 2401 2829 3381 3549 3703 3731 3887 4459 5043 6027 6279 6591 6601 6877 6929 7203 7889 8281 11109 11193 11661 11767 12167 12259 13377 14063 14651 15379 19803 20631 20787 21689 21853 23667 24843 25921 26117 27209 31213 35301 36501 36777 38663 42189 43953 46137 46207 48139 48503 50531 55223 57967 65067 65559 68921 77763 78351 81627 82369 85169 85813 89401 90077 93639 98441 102557 107653 115989 138621 144417 145509 151593 151823 152971 158171 159367 165669 173901 181447 182819 190463 206763 247107 255507 257439 268203 270231 270641 279841 281957 284089 295323 307671 322959 323449 336973 339521 353717 405769 455469 458913 474513 478101 482447 498847 502619 544341 548457 571389 576583 596183 600691 625807 630539 717899 753571 811923 839523 845871 852267 889249 895973 970347 1010919 1018563 1061151 1062761 1070797 1107197 1115569 1162213 1217307 1270129 1279733 1333241 1447341 1496541 1507857 1585183 1729749 1788549 1802073 1877421 1891617 1894487 1958887 1973699 1988623 2056223 2071771 2153697 2260713 2264143 2358811 2376647 2476019 2667747 2687919 2825761 3188283 3212391 3321591 3346707 3377129 3486639 3491929 3518333 3637933 3665441 3693157 3810387 3839199 3999723 4036081 4173281 4204837 4380649 4413773 4755549 5274997 5683461 5876661 5921097 5965869 6168669 6215313 6224743 6271811 6485011 6534047 6792429 7076433 7129941 7428057 7439327 7495579 7750379 7808983 8135491 8477283 9332687 10131387 10475787 10554999 10913799 10996323 11079471 11096281 11473481 11560237 11647649 12108243 12519843 12614511 13141947 13241319 13261409 13712209 13815893 13920361 14393561 14502397 15824991 16511677 16636529 17332133 18674229 18815433 19455033 19602141 19780327 20452727 20607379 22317981 22486737 23251137 23426949 23639903 24406473 24443503 24628331 25465531 25658087 25852099 26730899 27998061 29212967 29433859 30664543 30896411 33288843 34420443 34680711 34942947 36459209 36734893 39784227 41136627 41447679 41761083 43180683 43507191 43573201 43902677 45395077 45738329 47293129 47650733 49535031 49909587 51996399 52075289 52469053 54252653 54662881 56948437 59340981 61358181 61822137 64992503 70919709 73330509 73884993 76396593 76974261 77556297 77673967 80192697 80314367 80921659 81533543 84305143 84942611 87638901 88301577 91993629 92689233 92829863 95985463 96711251 97442527 100754927 101516779 109377627 110204679 121324931 130719603 131708031 136185231 137214987 138462289 141879387 142952199 143169089 144251653 149155253 150283081 151419437 156225867 157407159 162757959 163988643 165479321 170845311 171104521 172398317 178258717 179606609 180964693 187116293 194977509 214651801 216274877 233021901 240943101 242764977 244600629 252915429 254827833 255214463 257144251 265885451 267895927 278489589 287956389 290133753 292327581 302264781 304550337 305012407 307318739 317765539 320168303 331051903 333555131 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46237745814351 46307898667961 46658052911197 48608912266369 48976465478213 50641340653813 60522577854557 65702156140257 68449284619989 68966859550953 71959504344091 75535131889139 78522089045673 79115828849421 81805242594621 82423807756017 82548862842887 86000383240499 86650669692223 90273694208971 107888073566819 116242276248147 122018289974763 127120100008551 133639079496169 138923696003883 139974158733591 145826736799107 146929396434639 151924021961439 153305030993933 159714997446641 160922672285557 181567733563671 190878899387449 192322218097373 215878513032273 226605395667417 247646588528661 258001149721497 259952009076669 270821082626913 271231977912343 284709343274447 296613566686619 323664220700457 340262385864583 342835258347491 354489384576691 400917238488507 459915092981799 479144992339923 482768016856671 503716530408637 528745923223973 572636698162347 576966654292119 602002682683493 606554687845561 631915859462797 813695933737029 854128029823341 889840700059857 935473556473183 1020787157593749 1028505775042473 1063468153730073 1073135216957531 1118004982126487 1126458705998899 1511149591225911 1586237769671919 1737308033450197 1806008048050479 1819664063536683 1895747578388391 1898623845386401 1992965402921129 2076294966806333 2481425692036837 2806420669419549 3219405650872593 3354014946379461 3379376117996697 3526015712860459 3701221462567811 4423411016239579 5211924100350591 5695871536159203 5978896208763387 6228884900418999 6548314895312281 7444277076110511 7826034874885409 7885210941992293 10578047138581377 11103664387703433 12161156234151379 13270233048718737 13950757820447903 14534064767644331 19644944685936843 23478104624656227 23655632825976879 24682109990023213 25908550237974677 36483468702454137 41852273461343709 43602194302932993 45838204267185967 74046329970069639 77725650713924031 85128093639059653 101738453373510317 137514612801557901 181359851665822739 255384280917178959 305215360120530951 320867429870301769 544079554997468217 595896655473417571 962602289610905307 1787689966420252713 4171276588313922997 12513829764941768991
- Sum of all divisors σ(n): 22595698828635791600
- Sum of proper divisors (its aliquot sum) s(n): 10081869063694022609
- 12513829764941768991 is a deficient number, because the sum of its proper divisors (10081869063694022609) is less than itself. Its deficiency is 2431960701247746382
Bases of 12513829764941768991
- Binary: 10101101101010100000110111011110101111110001000001101001000111112
- Hexadecimal: 0xADAA0DDEBF10691F
- Base-36: 2N2O6FJA0GY73
Squares and roots of 12513829764941768991
- 12513829764941768991 squared (125138297649417689912) is 156595935385942569357663025080409158081
- 12513829764941768991 cubed (125138297649417689913) is 1959614877301506147685678253861416440940183549557102866271
-
The
square root of 12513829764941768991 is 3537489189.3745440803 -
The
cube root of 12513829764941768991 is 2321649.9957854289
Scales and comparisons
How big is 12513829764941768991?- 12,513,829,764,941,768,991 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 12,513,829,764,941,768,991 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 12513829764941768991 cubic inches would be around 193470.8 feet tall.
Recreational maths with 12513829764941768991
- 12513829764941768991 backwards is 19986714946792831521
- The number of decimal digits it has is: 20
- The sum of 12513829764941768991's digits is 102
- More coming soon!
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"Number 12513829764941768991 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 12513829764941768991 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/12513829764941768991/
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The information we have on file for 12513829764941768991 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 12513829764941768991, math, Factors of 12513829764941768991, curriculum, school, college, exams, university, Prime factorization of 12513829764941768991, STEM, science, technology, engineering, physics, economics, calculator, twelve quintillion, five hundred thirteen quadrillion, eight hundred twenty-nine trillion, seven hundred sixty-four billion, nine hundred forty-one million, seven hundred sixty-eight thousand, nine hundred ninety-one.