12438239162761216
12,438,239,162,761,216 is an even composite number composed of six prime numbers multiplied together.
What does the number 12438239162761216 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
12438239162761216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12438239162761216:
215 × 7 × 172 × 292 × 472 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 17 × 17 × 29 × 29 × 47 × 47 × 101)See below for interesting mathematical facts about the number 12438239162761216 from the Numbermatics database.
Names of 12438239162761216
- Cardinal: 12438239162761216 can be written as Twelve quadrillion, four hundred thirty-eight trillion, two hundred thirty-nine billion, one hundred sixty-two million, seven hundred sixty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.2438239162761216 × 1016
Factors of 12438239162761216
Divisors of 12438239162761216
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 7 8 14 16 17 28 29 32 34 47 56 58 64 68 94 101 112 116 119 128 136 188 202 203 224 232 238 256 272 289 329 376 404 406 448 464 476 493 512 544 578 658 707 752 799 808 812 841 896 928 952 986 1024 1088 1156 1316 1363 1414 1504 1598 1616 1624 1682 1717 1792 1856 1904 1972 2023 2048 2176 2209 2312 2632 2726 2828 2929 3008 3196 3232 3248 3364 3434 3451 3584 3712 3808 3944 4046 4096 4352 4418 4624 4747 5264 5452 5593 5656 5858 5887 6016 6392 6464 6496 6728 6868 6902 7168 7424 7616 7888 8092 8192 8381 8704 8836 9248 9494 9541 10528 10904 11186 11312 11716 11774 12019 12032 12784 12928 12992 13456 13583 13736 13804 14297 14336 14848 15232 15463 15776 16184 16384 16762 17408 17672 18496 18988 19082 20503 21056 21808 22372 22624 23171 23432 23548 24038 24064 25568 25856 25984 26912 27166 27472 27608 28594 28672 29189 29696 30464 30926 31552 32368 32768 33229 33524 34816 35344 36992 37553 37976 38164 39527 41006 42112 43616 44744 45248 46342 46864 47096 48076 48128 49793 51136 51712 51968 53824 54332 54944 55216 57188 57344 58378 58667 59392 60928 61852 63104 64061 64736 66458 67048 69632 70688 73984 75106 75952 76328 79054 80699 82012 84224 84941 87232 89488 90496 92684 93728 94192 95081 96152 96256 99586 100079 102272 103424 103936 107648 108664 109888 110432 114376 114688 116756 117334 118784 121856 123704 126208 128122 129472 132916 134096 137663 139264 141376 147968 150212 151904 152656 158108 161398 162197 164024 168448 169882 174464 178976 180992 185368 187456 188384 190162 192304 192512 199172 200158 204323 204544 206848 207872 215296 217328 219776 220864 223109 228752 229376 233512 234668 237568 243049 243712 247408 252416 256244 258944 262871 265832 268192 275326 276689 278528 282752 295936 300424 303808 305312 316216 322796 324394 328048 336896 339764 348551 348928 357952 361984 370736 374912 376768 380324 384608 385024 393907 398344 400316 408646 409088 413696 415744 430592 434656 439552 441728 446218 448427 457504 467024 469336 475136 486098 487424 494816 504832 512488 517888 525742 531664 536384 550652 553378 557056 564893 565504 591872 594587 600848 607616 610624 632432 638401 645592 648788 656096 671959 673792 679528 697102 697856 715904 723968 741472 749824 753536 760648 769216 770048 787814 796688 800632 817292 818176 827392 831488 846481 861184 869312 879104 883456 892436 896854 915008 934048 938672 950272 963641 972196 974848 989632 1009664 1024976 1035776 1051484 1063328 1072768 1089037 1101304 1106756 1129786 1131008 1183744 1189174 1201696 1215232 1221248 1264864 1276802 1291184 1297576 1312192 1343918 1347584 1359056 1371883 1394204 1395712 1431808 1443997 1447936 1482944 1499648 1507072 1521296 1538432 1540096 1561763 1575628 1593376 1601264 1634584 1636352 1654784 1662976 1692962 1701343 1722368 1738624 1758208 1766912 1784872 1793708 1830016 1857769 1868096 1877344 1927282 1944392 1949696 1979264 2019328 2049952 2071552 2102968 2126656 2145536 2178074 2202608 2213512 2259572 2262016 2340271 2367488 2378348 2403392 2430464 2442496 2529728 2553604 2582368 2595152 2624384 2687836 2695168 2718112 2743766 2757349 2788408 2791424 2863616 2887994 2895872 2965888 2999296 3014144 3042592 3076864 3123526 3151256 3186752 3202528 3269168 3272704 3309568 3325952 3385924 3402686 3444736 3477248 3516416 3533824 3569744 3587416 3660032 3715538 3736192 3754688 3792853 3854564 3888784 3899392 3958528 3992227 4038656 4099904 4143104 4205936 4253312 4291072 4356148 4405216 4427024 4468807 4519144 4524032 4680542 4703713 4734976 4756696 4806784 4860928 4884992 5059456 5107208 5164736 5190304 5248768 5375672 5390336 5436224 5487532 5514698 5576816 5582848 5727232 5775988 5791744 5925367 5931776 5998592 6028288 6085184 6153728 6247052 6302512 6373504 6405056 6470161 6538336 6545408 6651904 6771848 6805372 6889472 6954496 7032832 7067648 7139488 7174832 7320064 7431076 7472384 7509376 7585706 7623259 7709128 7777568 7917056 7984454 8077312 8199808 8286208 8411872 8506624 8582144 8712296 8810432 8854048 8937614 9038288 9048064 9361084 9407426 9469952 9513392 9603181 9613568 9721856 9769984 10107979 10118912 10214416 10329472 10380608 10497536 10751344 10780672 10872448 10975064 11029396 11153632 11165696 11423303 11454464 11551976 11583488 11850734 11863552 11997184 12056576 12170368 12307456 12494104 12605024 12747008 12810112 12940322 13004383 13076672 13090816 13543696 13610744 13778944 13908992 14065664 14135296 14278976 14349664 14640128 14862152 14944768 15018752 15171412 15246518 15418256 15555136 15834112 15968908 16154624 16381897 16399616 16572416 16823744 17013248 17164288 17424592 17620864 17708096 17875228 18076576 18096128 18513629 18722168 18814852 19026784 19206362 19227136 19443712 19539968 20215958 20237824 20428832 20658944 20761216 20995072 21502688 21744896 21950128 22058792 22307264 22331392 22846606 22908928 23103952 23166976 23701468 23727104 23994368 24113152 24340736 24547949 24614912 24988208 25210048 25494016 25620224 25880644 26008766 26153344 26181632 26549971 27087392 27221488 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10184859392 10235279488 10350570496 10459561984 10507541464 10997481152 11009376256 11238465536 11294101504 11421319168 11594528512 11697462272 11829223424 12008618816 12135151616 12319186544 12568549888 12759157492 12793962496 12907544576 13089135703 13250889728 13316488192 13593585152 13868744704 13937401856 14079070336 14148768704 14308141568 14443184224 14694055936 14959012232 15033066748 15202400416 15218843648 15535525888 15612434432 15788294144 16152550442 16170021376 16352161792 16506496256 16588211584 16775062528 17180647712 17374171904 17823503936 17842782208 18304233472 18460057648 18510413824 18957956096 19171500032 19266408448 19483426816 19667314688 20369718784 20470558976 20701140992 20919123968 21015082928 21994962304 22018752512 22328525611 22476931072 22588203008 23189057024 23394924544 23658446848 24017237632 24270303232 24638373088 25137099776 25518314984 25587924992 26178271406 26501779456 26632976384 27187170304 27737489408 27874803712 28158140672 28297537408 28616283136 28886368448 29918024464 30066133496 30404800832 30437687296 31071051776 31224868864 31576588288 32305100884 32340042752 32704323584 33012992512 33176423168 33550125056 34361295424 34748343808 35647007872 35685564416 36608466944 36920115296 37915912192 38343000064 38532816896 39334629376 40739437568 40941117952 41402281984 42030165856 43989924608 44657051222 44953862144 45176406016 46378114048 46789849088 47316893696 48034475264 48540606464 49276746176 50274199552 51036629968 51175849984 52356542812 53003558912 53265952768 54226419341 54374340608 55749607424 56316281344 56595074816 57232566272 57772736896 59836048928 60132266992 60809601664 60875374592 62142103552 62449737728 64610201768 64680085504 65408647168 66025985024 66352846336 67100250112 68722590848 69496687616 71294015744 73216933888 73840230592 75831824384 76686000128 77065633792 78669258752 81478875136 81882235904 82804563968 84060331712 87979849216 89314102444 90352812032 92756228096 93579698176 96068950528 97081212928 98553492352 100548399104 102073259936 104713085624 106007117824 106531905536 108452838682 108748681216 112632562688 113190149632 114465132544 115545473792 119672097856 120264533984 121619203328 124284207104 124899475456 129220403536 129360171008 130817294336 132051970048 132705692672 134200500224 137445181696 138993375232 142588031488 146433867776 147680461184 151663648768 154131267584 157338517504 162957750272 163764471808 165609127936 168120663424 175959698432 178628204888 185512456192 187159396352 192137901056 194162425856 197106984704 201096798208 204146519872 209426171248 212014235648 213063811072 216905677364 217497362432 225265125376 226380299264 228930265088 231090947584 239344195712 240529067968 243238406656 249798950912 258440807072 258720342016 264103940096 265411385344 268401000448 274890363392 277986750464 285176062976 295360922368 303327297536 314677035008 325915500544 327528943616 331218255872 336241326848 351919396864 357256409776 371024912384 374318792704 379584935387 384275802112 394213969408 402193596416 408293039744 418852342496 426127622144 433811354728 434994724864 450530250752 452760598528 457860530176 462181895168 478688391424 481058135936 486476813312 516881614144 517440684032 528207880192 530822770688 536802000896 549780726784 555973500928 570352125952 590721844736 606654595072 651831001088 655057887232 672482653696 703838793728 714512819552 742049824768 759169870774 768551604224 788427938816 804387192832 816586079488 837704684992 867622709456 869989449728 901060501504 905521197056 915721060352 924363790336 957376782848 962116271872 972953626624 1033763228288 1034881368064 1056415760384 1061645541376 1099561453568 1111947001856 1140704251904 1181443689472 1303662002176 1310115774464 1344965307392 1407677587456 1429025639104 1484099649536 1518339741548 1537103208448 1576855877632 1633172158976 1675409369984 1735245418912 1802121003008 1811042394112 1848727580672 1914753565696 1924232543744 1945907253248 2067526456576 2112831520768 2123291082752 2199122907136 2223894003712 2281408503808 2362887378944 2620231548928 2689930614784 2815355174912 2858051278208 3036679483096 3074206416896 3153711755264 3266344317952 3350818739968 3470490837824 3604242006016 3622084788224 3697455161344 3829507131392 3848465087488 3891814506496 4135052913152 4246582165504 4398245814272 4562817007616 4725774757888 5379861229568 5630710349824 5716102556416 6073358966192 6148412833792 6307423510528 6532688635904 6701637479936 6940981675648 7244169576448 7394910322688 7659014262784 7696930174976 7783629012992 8270105826304 8796491628544 9125634015232 9451549515776 10759722459136 11432205112832 12146717932384 12614847021056 13065377271808 13403274959872 13881963351296 14789820645376 15318028525568 15393860349952 15567258025984 16540211652608 17592983257088 18903099031552 21519444918272 22864410225664 24293435864768 25229694042112 26130754543616 26806549919744 27763926702592 30636057051136 30787720699904 33080423305216 37806198063104 43038889836544 45728820451328 48586871729536 52261509087232 53613099839488 55527853405184 61272114102272 61575441399808 66160846610432 91457640902656 97173743459072 104523018174464 107226199678976 111055706810368 123150882799616 132321693220864 182915281805312 194347486918144 214452399357952 222111413620736 264643386441728 365830563610624 388694973836288 428904798715904 444222827241472 731661127221248 777389947672576 888445654482944 1554779895345152 1776891308965888 3109559790690304 6219119581380608 12438239162761216
- Sum of all divisors σ(n): 32273907659220240
- Sum of proper divisors (its aliquot sum) s(n): 19835668496459024
- 12438239162761216 is an abundant number, because the sum of its proper divisors (19835668496459024) is greater than itself. Its abundance is 7397429333697808
Bases of 12438239162761216
- Binary: 1011000011000010000011001110101110110110000000000000002
- Hexadecimal: 0x2C30833AED8000
- Base-36: 3EGZK6ROTTS
Squares and roots of 12438239162761216
- 12438239162761216 squared (124382391627612162) is 154709793470046835568461433798656
- 12438239162761216 cubed (124382391627612163) is 1924317412001835994287906709945195420956749725696
-
The
square root of 12438239162761216 is 111526853.9983138589 -
The
cube root of 12438239162761216 is 231696.5858901147
Scales and comparisons
How big is 12438239162761216?- 12,438,239,162,761,216 seconds is equal to 395,497,531 years, 19 weeks, 3 days, 20 hours, 20 minutes, 16 seconds.
-
To count from 1 to 12,438,239,162,761,216 would take you about one billion, one hundred eighty-six million, four hundred ninety-two thousand, five hundred ninety-four 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 12438239162761216 cubic inches would be around 19308 feet tall.
Recreational maths with 12438239162761216
- 12438239162761216 backwards is 61216726193283421
- 12438239162761216 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12438239162761216's digits is 64
- More coming soon!
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"Number 12438239162761216 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 12438239162761216 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/12438239162761216/
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Numbermatics. 2024. "Number 12438239162761216 - Facts about the integer". https://numbermatics.com/n/12438239162761216/
The information we have on file for 12438239162761216 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!
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