13680830327097648
13,680,830,327,097,648 is an even composite number composed of eight prime numbers multiplied together.
13680830327097648 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 13680830327097648:
24 × 3 × 112 × 13 × 192 × 73 × 769 × 8941
(2 × 2 × 2 × 2 × 3 × 11 × 11 × 13 × 19 × 19 × 73 × 769 × 8941)See below for interesting mathematical facts about the number 13680830327097648 from the Numbermatics database.
Names of 13680830327097648
- Cardinal: 13680830327097648 can be written as Thirteen quadrillion, six hundred eighty trillion, eight hundred thirty billion, three hundred twenty-seven million, ninety-seven thousand, six hundred forty-eight.
Scientific notation
- Scientific notation: 1.3680830327097648 × 1016
Factors of 13680830327097648
Divisors of 13680830327097648
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 19 22 24 26 33 38 39 44 48 52 57 66 73 76 78 88 104 114 121 132 143 146 152 156 176 208 209 219 228 242 247 264 286 292 304 312 361 363 418 429 438 456 484 494 528 572 584 624 627 722 726 741 769 803 836 858 876 912 949 968 988 1083 1144 1168 1254 1387 1444 1452 1482 1538 1573 1606 1672 1716 1752 1898 1936 1976 2166 2288 2299 2307 2409 2508 2717 2774 2847 2888 2904 2964 3076 3146 3212 3344 3432 3504 3796 3952 3971 4161 4332 4598 4614 4693 4719 4818 5016 5434 5548 5694 5776 5808 5928 6152 6292 6424 6864 6897 7592 7942 8151 8322 8459 8664 8833 8941 9196 9228 9386 9438 9636 9997 10032 10439 10868 11096 11388 11856 11913 12304 12584 12848 13794 14079 14611 15184 15257 15884 16302 16644 16918 17328 17666 17882 18031 18392 18456 18772 18876 19272 19994 20878 21736 22192 22776 23826 25168 25377 26353 26499 26823 27588 28158 29222 29887 29991 30514 31317 31768 32604 33288 33836 35332 35764 36062 36784 36912 37544 37752 38544 39988 41756 43472 43681 43833 45552 45771 47652 50754 51623 52706 52998 53646 54093 55176 56137 56316 58444 59774 59982 61028 62634 63536 65208 66576 67672 70664 71528 72124 75088 75504 79059 79976 83512 87362 87666 89661 91542 93049 95304 98351 101508 103246 105412 105996 107292 108186 109967 110352 112274 112632 114829 116233 116888 119548 119964 122056 125268 130416 131043 135344 141328 143056 144248 154869 158118 159952 160721 167024 167827 168411 169879 174724 175332 179322 183084 186098 189943 190608 196702 198341 203016 206492 210824 211992 214584 216372 219934 224548 225264 229658 232466 233776 239096 239928 244112 250536 262086 277609 279147 288496 289883 295053 309738 316236 321442 329901 335654 336822 339758 342589 344487 348699 349448 350664 358644 366168 372196 379886 393404 396682 406032 412984 421648 423984 429168 432744 439868 449096 459316 464932 478192 479856 482163 501072 503481 509637 524172 555218 558294 567853 569829 579766 590106 595023 617507 619476 632472 642884 652693 659802 671308 673644 679516 685178 688974 697398 698896 701328 717288 729781 732336 744392 759772 786808 793364 825968 832827 865488 869649 879736 898192 918632 929864 964326 1006962 1019274 1027767 1048344 1066603 1081861 1110436 1116588 1135706 1139658 1159532 1180212 1190046 1209637 1235014 1238952 1264944 1278563 1285768 1305386 1319604 1342616 1347288 1359032 1370356 1377948 1394796 1434576 1459562 1488784 1519544 1573616 1586728 1665654 1703559 1739298 1759472 1767931 1837264 1852521 1859728 1868669 1928652 1958079 2013924 2038548 2055534 2089373 2096688 2133206 2163722 2181751 2189343 2208427 2220872 2233176 2271412 2279316 2319064 2360424 2380092 2419274 2470028 2477904 2557126 2571536 2610772 2639208 2685232 2694576 2718064 2740712 2755896 2789592 2919124 3039088 3053699 3173456 3188713 3199809 3227701 3245583 3331308 3407118 3478596 3535862 3608917 3628911 3705042 3737338 3768479 3835689 3857304 3916158 4027848 4077096 4111068 4178746 4266412 4327444 4363502 4378686 4416854 4441744 4466352 4542824 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24429592 24802334 25072476 25455027 25509704 25598472 25821608 25964664 26181012 26501124 27170308 27256944 27502516 27731678 28128386 28286896 28718492 28871336 29031288 29640336 29898704 30147832 30685512 31329264 32110364 33429968 33590689 33940036 34908016 35029488 35197899 35334832 35504711 36644388 37203501 38264556 38732412 39698087 40530914 40755462 41110718 41253774 41453269 41597517 41960113 42192579 42430344 43077738 43307004 44848056 45221748 45966206 46930532 48165546 48585394 48859184 49604668 50144952 50910054 51019408 51196944 51643216 51929328 52362024 53002248 54340616 55005032 55463356 56256772 57436984 57742672 58062576 60295664 60796371 61371024 61666077 64220728 67181378 67880072 68949309 70395798 71009422 72878091 73288776 74407002 75631919 76529112 77464824 78975853 79396174 81061828 81510924 82221436 82507548 82906538 83195034 83920226 84385158 84860688 86155476 86614008 88303501 89383177 89696112 90443496 91932412 93335099 93861064 96331092 97170788 99209336 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2355514863481 2368564807323 2402674802792 2465903087076 2517635319672 2727438262978 2839524766936 2899095216592 2915156685936 2965069425032 2975387195976 3158086409764 3287870782768 3445185174288 3461748564549 3604012204188 3904346554537 3986255922814 4091157394467 4259287150404 4348642824888 4447604137548 4615664752732 4711029726962 4737129614646 4805349605584 4931806174152 5035270639344 5454876525956 5679049533872 5930138850064 5950774391952 5979383884221 6316172819528 6923497129098 7066544590443 7208024408376 7808693109074 7972511845628 8182314788934 8518574300808 8697285649776 8895208275096 9231329505464 9422059453924 9474259229292 9863612348304 10909753051912 11713039663611 11958767768442 12632345639056 13846994258196 14133089180886 14416048816752 15000910446379 15617386218148 15945023691256 16364629577868 17037148601616 17790416550192 18462659010928 18844118907848 18948518458584 21819506103824 21924407575477 23426079327222 23917535536884 25910663498291 27693988516392 28266178361772 30001820892758 31234772436296 31890047382512 32729259155736 37688237815696 37897036917168 43848815150954 45002731339137 46852158654444 47835071073768 51821326996582 55387977032784 56532356723544 60003641785516 62469544872592 65458518311472 65773222726431 77731990494873 87697630301908 90005462678274 93704317308888 95670142147536 103642653993164 113064713447088 120007283571032 131546445452862 155463980989746 175395260603816 180010925356548 187408634617776 207285307986328 240014567142064 263092890905724 285017298481201 310927961979492 350790521207632 360021850713096 414570615972656 526185781811448 570034596962402 621855923958984 720043701426192 855051895443603 1052371563622896 1140069193924804 1243711847917968 1710103790887206 2280138387849608 3420207581774412 4560276775699216 6840415163548824 13680830327097648
- Sum of all divisors σ(n): 44821196715852480
- Sum of proper divisors (its aliquot sum) s(n): 31140366388754832
- 13680830327097648 is an abundant number, because the sum of its proper divisors (31140366388754832) is greater than itself. Its abundance is 17459536061657184
Bases of 13680830327097648
- Binary: 1100001001101010100100100001111110000100001001001100002
- Hexadecimal: 0x309AA487E10930
- Base-36: 3QPG6OS6KHC
Squares and roots of 13680830327097648
- 13680830327097648 squared (136808303270976482) is 187165118438834738368551327131904
- 13680830327097648 cubed (136808303270976483) is 2560574228512833482698902833814462472444384161792
-
The
square root of 13680830327097648 is 116965081.6572948319 -
The
cube root of 13680830327097648 is 239168.5949831939
Scales and comparisons
How big is 13680830327097648?- 13,680,830,327,097,648 seconds is equal to 435,008,086 years, 42 weeks, 2 days, 16 hours, 48 seconds.
-
To count from 1 to 13,680,830,327,097,648 would take you about one billion, three hundred five million, twenty-four thousand, two hundred sixty 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 13680830327097648 cubic inches would be around 19930.7 feet tall.
Recreational maths with 13680830327097648
- 13680830327097648 backwards is 84679072303808631
- The number of decimal digits it has is: 17
- The sum of 13680830327097648's digits is 75
- More coming soon!
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"Number 13680830327097648 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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Numbermatics. (2024). Number 13680830327097648 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/13680830327097648/
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The information we have on file for 13680830327097648 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 13680830327097648, math, Factors of 13680830327097648, curriculum, school, college, exams, university, Prime factorization of 13680830327097648, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, six hundred eighty trillion, eight hundred thirty billion, three hundred twenty-seven million, ninety-seven thousand, six hundred forty-eight.