13125051561835886400
13,125,051,561,835,886,400 is an even composite number composed of seven prime numbers multiplied together.
13125051561835886400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 13125051561835886400:
26 × 32 × 52 × 7 × 13 × 269 × 37234442339
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 13 × 269 × 37234442339)See below for interesting mathematical facts about the number 13125051561835886400 from the Numbermatics database.
Names of 13125051561835886400
- Cardinal: 13125051561835886400 can be written as Thirteen quintillion, one hundred twenty-five quadrillion, fifty-one trillion, five hundred sixty-one billion, eight hundred thirty-five million, eight hundred eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.31250515618358864 × 1019
Factors of 13125051561835886400
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 37234442638
Divisors of 13125051561835886400
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 100 104 105 112 117 120 126 130 140 144 150 156 160 168 175 180 182 192 195 200 208 210 224 225 234 240 252 260 269 273 280 288 300 312 315 320 325 336 350 360 364 390 400 416 420 448 450 455 468 480 504 520 525 538 546 560 576 585 600 624 630 650 672 700 720 728 780 800 807 819 832 840 900 910 936 960 975 1008 1040 1050 1076 1092 1120 1170 1200 1248 1260 1300 1344 1345 1365 1400 1440 1456 1560 1575 1600 1614 1638 1680 1800 1820 1872 1883 1950 2016 2080 2100 2152 2184 2240 2275 2340 2400 2421 2496 2520 2600 2690 2730 2800 2880 2912 2925 3120 3150 3228 3276 3360 3497 3600 3640 3744 3766 3900 4032 4035 4095 4160 4200 4304 4368 4550 4680 4800 4842 5040 5200 5380 5460 5600 5649 5824 5850 6240 6300 6456 6552 6720 6725 6825 6994 7200 7280 7488 7532 7800 8070 8190 8400 8608 8736 9100 9360 9415 9684 10080 10400 10491 10760 10920 11200 11298 11700 12105 12480 12600 12912 13104 13450 13650 13988 14400 14560 15064 15600 16140 16380 16800 16947 17216 17472 17485 18200 18720 18830 19368 20160 20175 20475 20800 20982 21520 21840 22596 23400 24210 24479 25200 25824 26208 26900 27300 27976 28245 29120 30128 31200 31473 32280 32760 33600 33894 34970 36400 37440 37660 38736 40350 40950 41964 43040 43680 45192 46800 47075 48420 48958 50400 51648 52416 52455 53800 54600 55952 56490 60256 60525 62400 62946 64560 65520 67788 69940 72800 73437 75320 77472 80700 81900 83928 84735 86080 87360 87425 90384 93600 94150 96840 97916 100800 104910 107600 109200 111904 112980 120512 121050 122395 125892 129120 131040 135576 139880 141225 145600 146874 150640 154944 157365 161400 163800 167856 169470 174850 180768 187200 188300 193680 195832 209820 215200 218400 220311 223808 225960 242100 244790 251784 258240 262080 262275 271152 279760 282450 293748 301280 314730 322800 327600 335712 338940 349700 361536 367185 376600 387360 391664 419640 423675 430400 436800 440622 451920 484200 489580 503568 524550 542304 559520 564900 587496 602560 611975 629460 645600 655200 671424 677880 699400 734370 753200 774720 783328 786825 839280 847350 881244 903840 968400 979160 1007136 1049100 1084608 1101555 1119040 1129800 1174992 1223950 1258920 1291200 1310400 1355760 1398800 1468740 1506400 1566656 1573650 1678560 1694700 1762488 1807680 1835925 1936800 1958320 2014272 2098200 2203110 2259600 2349984 2447900 2517840 2711520 2797600 2937480 3012800 3147300 3357120 3389400 3524976 3671850 3873600 3916640 4196400 4406220 4519200 4699968 4895800 5035680 5423040 5507775 5595200 5874960 6294600 6778800 7049952 7343700 7833280 8392800 8812440 9038400 9791600 10071360 11015550 11749920 12589200 13557600 14099904 14687400 16785600 17624880 19583200 22031100 23499840 25178400 27115200 29374800 35249760 39166400 44062200 50356800 58749600 70499520 88124400 117499200 176248800 352497600 37234442339 74468884678 111703327017 148937769356 186172211695 223406654034 260641096373 297875538712 335109981051 372344423390 446813308068 484047750407 521282192746 558516635085 595751077424 670219962102 744688846780 781923289119 893626616136 930861058475 968095500814 1042564385492 1117033270170 1191502154848 1303205481865 1340439924204 1452143251221 1489377693560 1563846578238 1675549905255 1787253232272 1861722116950 1936191001628 2085128770984 2234066540340 2345769867357 2383004309696 2420238752035 2606410963730 2680879848408 2792583175425 2904286502442 2978755387120 3127693156476 3351099810510 3388334252849 3574506464544 3723444233900 3872382003256 3909616445595 4170257541968 4356429753663 4468133080680 4691539734714 4840477504070 5212821927460 5361759696816 5585166350850 5808573004884 5957510774240 6255386312952 6516027409325 6702199621020 6776668505698 7149012929088 7260716256105 7446888467800 7744764006512 7819232891190 8340515083936 8377749526275 8712859507326 8936266161360 9383079469428 9680955008140 10016064989191 10165002758547 10425643854920 10723519393632 11170332701700 11617146009768 11728849336785 11915021548480 12101193760175 12510772625904 13032054818650 13404399242040 13553337011396 14521432512210 14893776935600 15489528013024 15638465782380 16681030167872 16755499052550 16941671264245 17425719014652 17872532322720 18766158938856 19361910016280 19548082227975 20032129978382 20330005517094 20851287709840 21447038787264 21782148768315 22340665403400 23234292019536 23457698673570 24202387520350 25021545251808 26064109637300 26808798484080 27106674022792 29042865024420 29787553871200 30048194967573 30495008275641 30979056026048 31276931564760 33510998105100 33883342528490 34851438029304 35745064645440 36303581280525 37532317877712 38723820032560 39096164455950 40064259956764 40660011034188 41702575419680 43564297536630 44681330806800 46468584039072 46915397347140 48404775040700 50043090503616 50080324945955 50825013792735 52128219274600 53617596968160 54213348045584 58085730048840 58644246683925 59575107742400 60096389935146 60990016551282 62553863129520 67021996210200 67766685056980 69702876058608 70112454924337 72607162561050 75064635755424 77447640065120 78192328911900 80128519913528 81320022068376 83405150839360 84708356321225 87128595073260 89362661613600 90144584902719 92937168078144 93830794694280 96809550081400 100160649891910 101650027585470 104256438549200 107235193936320 108426696091168 108910743841575 116171460097680 117288493367850 120192779870292 121980033102564 125107726259040 130208844859483 134043992420400 135533370113960 139405752117216 140224909848674 145214325122100 150129271510848 150240974837865 152475041378205 154895280130240 156384657823800 160257039827056 162640044136752 169416712642450 174257190146520 178725323227200 180289169805438 187661589388560 193619100162800 200321299783820 203300055170940 208512877098400 210337364773011 216853392182336 217821487683150 232342920195360 234576986735700 240385559740584 243960066205128 250215452518080 250401624729775 254125068963675 260417689718966 268087984840800 271066740227920 278811504234432 280449819697348 290428650244200 300481949675730 304950082756410 312769315647600 320514079654112 325280088273504 338833425284900 348514380293040 350562274621685 360578339610876 375323178777120 387238200325600 390626534578449 400642599567640 406600110341880 417025754196800 420674729546022 435642975366300 450722924513595 464685840390720 469153973471400 480771119481168 487920132410256 500803249459550 508250137927350 520835379437932 536175969681600 542133480455840 560899639394696 580857300488400 600963899351460 609900165512820 625538631295200 631012094319033 641028159308224 650560176547008 651044224297415 677666850569800 697028760586080 701124549243370 721156679221752 750646357554240 751204874189325 762375206891025 774476400651200 781253069156898 801285199135280 813200220683760 841349459092044 871285950732600 901445849027190 911461914016381 938307946942800 961542238962336 975840264820512 1001606498919100 1016500275854700 1041670758875864 1051686823865055 1084266960911680 1121799278789392 1161714600976800 1171879603735347 1201927798702920 1219800331025640 1251077262590400 1262024188638066 1302088448594830 1355333701139600 1394057521172160 1402249098486740 1442313358443504 1502409748378650 1524750413782050 1562506138313796 1602570398270560 1626400441367520 1682698918184088 1742571901465200 1752811373108425 1802891698054380 1822923828032762 1876615893885600 1923084477924672 1951680529641024 1953132672892245 2003212997838200 2033000551709400 2083341517751728 2103373647730110 2243598557578784 2253614622567975 2323429201953600 2343759207470694 2403855597405840 2439600662051280 2524048377276132 2604176897189660 2710667402279200 2734385742049143 2804498196973480 2884626716887008 3004819496757300 3049500827564100 3125012276627592 3155060471595165 3205140796541120 3252800882735040 3255221121487075 3365397836368176 3485143802930400 3505622746216850 3605783396108760 3645847656065524 3753231787771200 3906265345784490 4006425995676400 4066001103418800 4166683035503456 4206747295460220 4487197115157568 4507229245135950 4557309570081905 4687518414941388 4807711194811680 4879201324102560 5048096754552264 5208353794379320 5258434119325275 5421334804558400 5468771484098286 5608996393946960 5769253433774016 5859398018676735 6009638993514600 6099001655128200 6250024553255184 6310120943190330 6510442242974150 6730795672736352 6970287605860800 7011245492433700 7211566792217520 7291695312131048 7812530691568980 8012851991352800 8132002206837600 8203157226147429 8333366071006912 8413494590920440 9014458490271900 9114619140163810 9375036829882776 9615422389623360 9758402648205120 9765663364461225 10096193509104528 10416707588758640 10516868238650550 10937542968196572 11217992787893920 11718796037353470 12019277987029200 12198003310256400 12500049106510368 12620241886380660 13020884485948300 13461591345472704 13671928710245715 14022490984867400 14423133584435040 14583390624262096 15625061383137960 15775302357975825 16025703982705600 16264004413675200 16406314452294858 16826989181840880 18028916980543800 18229238280327620 18750073659765552 19531326728922450 20192387018209056 20833415177517280 21033736477301100 21875085936393144 22435985575787840 22786547850409525 23437592074706940 24038555974058400 24396006620512800 25000098213020736 25240483772761320 26041768971896600 27343857420491430 28044981969734800 28846267168870080 29166781248524192 29296990093383675 31250122766275920 31550604715951650 32812628904589716 33653978363681760 36057833961087600 36458476560655240 37500147319531104 39062653457844900 40384774036418112 41015786130737145 41666830355034560 42067472954602200 43750171872786288 45573095700819050 46875184149413880 48077111948116800 48792013241025600 50480967545522640 52083537943793200 54687714840982860 56089963939469600 58333562497048384 58593980186767350 62500245532551840 63101209431903300 65625257809179432 67307956727363520 68359643551228575 72115667922175200 72916953121310480 75000294639062208 78125306915689800 82031572261474290 84134945909204400 87500343745572576 91146191401638100 93750368298827760 100961935091045280 104167075887586400 109375429681965720 112179927878939200 117187960373534700 125000491065103680 126202418863806600 131250515618358864 136719287102457150 144231335844350400 145833906242620960 156250613831379600 164063144522948580 168269891818408800 175000687491145152 182292382803276200 187500736597655520 201923870182090560 205078930653685725 208334151775172800 218750859363931440 234375920747069400 252404837727613200 262501031236717728 273438574204914300 291667812485241920 312501227662759200 328126289045897160 336539783636817600 364584765606552400 375001473195311040 410157861307371450 437501718727862880 468751841494138800 504809675455226400 525002062473435456 546877148409828600 625002455325518400 656252578091794320 729169531213104800 820315722614742900 875003437455725760 937503682988277600 1009619350910452800 1093754296819657200 1312505156183588640 1458339062426209600 1640631445229485800 1875007365976555200 2187508593639314400 2625010312367177280 3281262890458971600 4375017187278628800 6562525780917943200 13125051561835886400
- Sum of all divisors σ(n): 57628246840523049600
- Sum of proper divisors (its aliquot sum) s(n): 44503195278687163200
- 13125051561835886400 is an abundant number, because the sum of its proper divisors (44503195278687163200) is greater than itself. Its abundance is 31378143716851276800
Bases of 13125051561835886400
- Binary: 10110110001001011000110011011011001000011110100111110111010000002
- Hexadecimal: 0xB6258CDB21E9F740
- Base-36: 2RPUIH4EG3F40
Squares and roots of 13125051561835886400
- 13125051561835886400 squared (131250515618358864002) is 172266978500850640919976046873704960000
- 13125051561835886400 cubed (131250515618358864003) is 2261012975225338768932535529278621921008935053676544000000
-
The
square root of 13125051561835886400 is 3622851302.7497949463 -
The
cube root of 13125051561835886400 is 2358850.0790807331
Scales and comparisons
How big is 13125051561835886400?- 13,125,051,561,835,886,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,125,051,561,835,886,400 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 13125051561835886400 cubic inches would be around 196570.8 feet tall.
Recreational maths with 13125051561835886400
- 13125051561835886400 backwards is 00468853816515052131
- 13125051561835886400 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13125051561835886400's digits is 72
- More coming soon!
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The information we have on file for 13125051561835886400 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 13125051561835886400, math, Factors of 13125051561835886400, curriculum, school, college, exams, university, Prime factorization of 13125051561835886400, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, one hundred twenty-five quadrillion, fifty-one trillion, five hundred sixty-one billion, eight hundred thirty-five million, eight hundred eighty-six thousand, four hundred.