13138579980288
13,138,579,980,288 is an even composite number composed of five prime numbers multiplied together.
13138579980288 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13138579980288:
215 × 33 × 72 × 37 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 37 × 8191)See below for interesting mathematical facts about the number 13138579980288 from the Numbermatics database.
Names of 13138579980288
- Cardinal: 13138579980288 can be written as Thirteen trillion, one hundred thirty-eight billion, five hundred seventy-nine million, nine hundred eighty thousand, two hundred eighty-eight.
Scientific notation
- Scientific notation: 1.3138579980288 × 1013
Factors of 13138579980288
Divisors of 13138579980288
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 37 42 48 49 54 56 63 64 72 74 84 96 98 108 111 112 126 128 144 147 148 168 189 192 196 216 222 224 252 256 259 288 294 296 333 336 378 384 392 432 441 444 448 504 512 518 576 588 592 666 672 756 768 777 784 864 882 888 896 999 1008 1024 1036 1152 1176 1184 1323 1332 1344 1512 1536 1554 1568 1728 1764 1776 1792 1813 1998 2016 2048 2072 2304 2331 2352 2368 2646 2664 2688 3024 3072 3108 3136 3456 3528 3552 3584 3626 3996 4032 4096 4144 4608 4662 4704 4736 5292 5328 5376 5439 6048 6144 6216 6272 6912 6993 7056 7104 7168 7252 7992 8064 8191 8192 8288 9216 9324 9408 9472 10584 10656 10752 10878 12096 12288 12432 12544 13824 13986 14112 14208 14336 14504 15984 16128 16317 16382 16384 16576 18432 18648 18816 18944 21168 21312 21504 21756 24192 24573 24576 24864 25088 27648 27972 28224 28416 28672 29008 31968 32256 32634 32764 32768 33152 36864 37296 37632 37888 42336 42624 43008 43512 48384 48951 49146 49152 49728 50176 55296 55944 56448 56832 57337 57344 58016 63936 64512 65268 65528 66304 73719 73728 74592 75264 75776 84672 85248 86016 87024 96768 97902 98292 98304 99456 100352 110592 111888 112896 113664 114674 114688 116032 127872 129024 130536 131056 132608 147438 147456 149184 150528 151552 169344 170496 172011 172032 174048 193536 195804 196584 198912 200704 221157 221184 223776 225792 227328 229348 229376 232064 255744 258048 261072 262112 265216 294876 294912 298368 301056 303067 303104 338688 340992 344022 344064 348096 387072 391608 393168 397824 401359 401408 442314 442368 447552 451584 454656 458696 464128 511488 516033 516096 522144 524224 530432 589752 596736 602112 606134 606208 677376 681984 688044 688128 696192 774144 783216 786336 795648 802718 802816 884628 884736 895104 903168 909201 909312 917392 928256 1022976 1032066 1032192 1044288 1048448 1060864 1179504 1193472 1204077 1204224 1212268 1212416 1354752 1363968 1376088 1392384 1548099 1548288 1566432 1572672 1591296 1605436 1605632 1769256 1790208 1806336 1818402 1818624 1834784 1856512 2045952 2064132 2064384 2088576 2096896 2121469 2121728 2359008 2386944 2408154 2408448 2424536 2709504 2727603 2727936 2752176 2784768 3096198 3096576 3132864 3145344 3182592 3210872 3538512 3580416 3612231 3612672 3636804 3637248 3669568 3713024 4091904 4128264 4177152 4193792 4242938 4243456 4718016 4773888 4816308 4816896 4849072 5419008 5455206 5455872 5504352 5569536 6192396 6193152 6265728 6290688 6364407 6365184 6421744 7077024 7160832 7224462 7225344 7273608 7339136 7426048 8182809 8183808 8256528 8354304 8387584 8485876 8486912 9436032 9547776 9632616 9698144 10836693 10838016 10910412 10911744 11008704 11139072 12384792 12531456 12581376 12728814 12730368 12843488 14154048 14321664 14448924 14450688 14547216 14678272 14850283 14852096 16365618 16367616 16513056 16708608 16775168 16971752 18872064 19093221 19095552 19265232 19396288 21673386 21676032 21820824 22017408 22278144 24769584 25062912 25162752 25457628 25460736 25686976 28308096 28643328 28897848 29094432 29356544 29700566 29704192 32731236 32735232 33026112 33417216 33550336 33943504 37744128 38186442 38191104 38530464 38792576 43346772 43352064 43641648 44034816 44550849 44556288 49539168 50125824 50325504 50915256 51373952 56616192 57279663 57286656 57795696 58188864 58713088 59401132 59408384 65462472 66052224 66834432 67100672 67887008 75488256 76372884 76382208 77060928 77585152 86693544 87283296 88069632 89101698 89112576 99078336 100251648 100651008 101830512 102747904 113232384 114559326 114573312 115591392 116377728 117426176 118802264 130924944 132104448 133652547 133668864 134201344 135774016 150976512 152745768 154121856 155170304 173387088 174566592 176139264 178203396 178225152 198156672 200503296 201302016 203661024 205495808 226464768 229118652 229146624 231182784 232755456 234852352 237604528 261849888 264208896 267305094 267337728 268402688 271548032 301953024 305491536 308243712 310340608 346774176 349133184 352278528 356406792 396313344 400957641 401006592 402604032 407322048 410991616 452929536 458237304 462365568 465510912 469704704 475209056 523699776 528417792 534610188 534675456 543096064 603906048 610983072 616487424 620681216 693548352 698266368 704557056 712813584 792626688 801915282 802013184 805208064 814644096 821983232 905859072 916474608 924731136 931021824 939409408 950418112 1047399552 1056835584 1069220376 1086192128 1207812096 1221966144 1232974848 1241362432 1387096704 1396532736 1409114112 1425627168 1585253376 1603830564 1604026368 1629288192 1643966464 1811718144 1832949216 1849462272 1862043648 1878818816 1900836224 2094799104 2113671168 2138440752 2172384256 2415624192 2443932288 2465949696 2482724864 2774193408 2793065472 2818228224 2851254336 3170506752 3207661128 3258576384 3287932928 3623436288 3665898432 3698924544 3724087296 3801672448 4189598208 4227342336 4276881504 4344768512 4887864576 4931899392 4965449728 5548386816 5586130944 5636456448 5702508672 6341013504 6415322256 6517152768 6575865856 7246872576 7331796864 7397849088 7448174592 7603344896 8379196416 8454684672 8553763008 8689537024 9775729152 9863798784 9930899456 11096773632 11172261888 11405017344 12682027008 12830644512 13034305536 13151731712 14663593728 14795698176 14896349184 15206689792 16758392832 16909369344 17107526016 17379074048 19551458304 19727597568 22193547264 22344523776 22810034688 25364054016 25661289024 26068611072 29327187456 29591396352 29792698368 30413379584 33516785664 34215052032 34758148096 39102916608 39455195136 44387094528 44689047552 45620069376 50728108032 51322578048 52137222144 58654374912 59182792704 60826759168 67033571328 68430104064 69516296192 78205833216 88774189056 89378095104 91240138752 102645156096 104274444288 117308749824 118365585408 121653518336 134067142656 136860208128 156411666432 177548378112 182480277504 205290312192 208548888576 234617499648 243307036672 268134285312 273720416256 312823332864 355096756224 364960555008 410580624384 469234999296 486614073344 547440832512 625646665728 729921110016 821161248768 938469998592 1094881665024 1459842220032 1642322497536 1876939997184 2189763330048 3284644995072 4379526660096 6569289990144 13138579980288
- Sum of all divisors σ(n): 46513786060800
- Sum of proper divisors (its aliquot sum) s(n): 33375206080512
- 13138579980288 is an abundant number, because the sum of its proper divisors (33375206080512) is greater than itself. Its abundance is 20236626100224
Bases of 13138579980288
- Binary: 101111110011000100000110010010000000000000002
- Hexadecimal: 0xBF310648000
- Base-36: 4NNS3AIO0
Squares and roots of 13138579980288
- 13138579980288 squared (131385799802882) is 172622283898424622468562944
- 13138579980288 cubed (131385799802883) is 2268011683379433316067265566679207247872
-
The
square root of 13138579980288 is 3624717.9173403273 -
The
cube root of 13138579980288 is 23596.6024867591
Scales and comparisons
How big is 13138579980288?- 13,138,579,980,288 seconds is equal to 417,766 years, 10 weeks, 3 days, 22 hours, 4 minutes, 48 seconds.
-
To count from 1 to 13,138,579,980,288 would take you about one million, forty-four thousand, four hundred fifteen 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 13138579980288 cubic inches would be around 1966.4 feet tall.
Recreational maths with 13138579980288
- 13138579980288 backwards is 88208997583131
- 13138579980288 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13138579980288's digits is 72
- More coming soon!
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