12838712350464
12,838,712,350,464 is an even composite number composed of eight prime numbers multiplied together.
12838712350464 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 12838712350464:
28 × 33 × 7 × 11 × 13 × 19 × 127 × 769
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 13 × 19 × 127 × 769)See below for interesting mathematical facts about the number 12838712350464 from the Numbermatics database.
Names of 12838712350464
- Cardinal: 12838712350464 can be written as Twelve trillion, eight hundred thirty-eight billion, seven hundred twelve million, three hundred fifty thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 1.2838712350464 × 1013
Factors of 12838712350464
Divisors of 12838712350464
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 19 21 22 24 26 27 28 32 33 36 38 39 42 44 48 52 54 56 57 63 64 66 72 76 77 78 84 88 91 96 99 104 108 112 114 117 126 127 128 132 133 143 144 152 154 156 168 171 176 182 189 192 198 208 209 216 224 228 231 234 247 252 254 256 264 266 273 286 288 297 304 308 312 336 342 351 352 364 378 381 384 396 399 416 418 429 432 448 456 462 468 494 504 508 513 528 532 546 572 576 594 608 616 624 627 672 684 693 702 704 728 741 756 762 768 769 792 798 819 832 836 858 864 889 896 912 924 936 988 1001 1008 1016 1026 1056 1064 1092 1143 1144 1152 1188 1197 1216 1232 1248 1254 1287 1344 1368 1386 1397 1404 1408 1456 1463 1482 1512 1524 1538 1584 1596 1638 1651 1664 1672 1716 1728 1729 1778 1792 1824 1848 1872 1881 1976 2002 2016 2032 2052 2079 2112 2128 2184 2223 2286 2288 2304 2307 2376 2394 2413 2432 2457 2464 2496 2508 2574 2667 2688 2717 2736 2772 2794 2808 2816 2912 2926 2964 3003 3024 3048 3076 3168 3192 3276 3302 3328 3344 3429 3432 3456 3458 3556 3591 3648 3696 3744 3762 3861 3952 4004 4032 4064 4104 4158 4191 4224 4256 4368 4389 4446 4572 4576 4614 4752 4788 4826 4864 4914 4928 4953 4992 5016 5148 5187 5334 5376 5383 5434 5472 5544 5588 5616 5643 5824 5852 5928 6006 6048 6096 6152 6336 6384 6552 6604 6669 6688 6858 6864 6912 6916 6921 7112 7182 7239 7296 7392 7488 7524 7722 7904 8001 8008 8064 8128 8151 8208 8316 8382 8448 8459 8512 8736 8778 8892 9009 9144 9152 9228 9504 9576 9652 9779 9828 9856 9906 9984 9997 10032 10296 10374 10668 10766 10868 10944 11088 11176 11232 11286 11557 11648 11704 11856 12012 12096 12192 12304 12573 12672 12768 13104 13167 13208 13338 13376 13716 13728 13832 13842 14224 14364 14478 14592 14611 14784 14859 14976 15048 15444 15561 15808 16002 16016 16128 16149 16256 16302 16416 16632 16764 16891 16918 17024 17472 17556 17784 18018 18161 18288 18304 18456 19008 19019 19152 19304 19558 19656 19712 19812 19994 20064 20592 20748 20763 21336 21532 21717 21736 21888 22176 22352 22464 22572 23114 23296 23408 23712 24003 24024 24192 24384 24453 24608 25146 25344 25377 25536 26208 26334 26416 26543 26676 26752 27027 27432 27456 27664 27684 28448 28728 28956 29222 29337 29568 29718 29952 29991 30096 30888 31122 31369 31616 32004 32032 32298 32512 32604 32832 33264 33528 33782 33836 34048 34671 34944 35112 35568 36036 36322 36576 36608 36912 37719 38016 38038 38304 38608 39116 39312 39501 39624 39988 40128 41184 41496 41526 42672 43064 43434 43472 43776 43833 44352 44577 44704 44928 45144 46228 46683 46816 47424 48006 48048 48384 48447 48768 48906 49216 50292 50673 50754 51072 52416 52668 52832 53086 53352 53504 54054 54483 54864 54912 55328 55368 56896 57057 57456 57912 58444 58674 59136 59213 59436 59982 60192 61776 62244 62738 63232 64008 64064 64596 65151 65208 65664 66528 67056 67564 67672 69342 69888 69979 70224 71136 72072 72644 73152 73359 73824 75438 76032 76076 76131 76608 77216 78232 78624 79002 79248 79629 79976 80256 82368 82992 83052 85344 86128 86868 86944 87666 88011 88704 89154 89408 89856 89973 90288 92456 93366 93632 94107 94848 96012 96096 96894 97536 97663 97812 98432 100584 101346 101508 102144 102277 104013 104832 105336 105664 106172 106704 108108 108966 109728 109824 109967 110656 110736 113792 114114 114912 115824 116888 117348 118426 118872 119964 120384 123552 124488 125476 127127 128016 128128 129192 130302 130416 131328 131499 133056 134112 135128 135344 138684 139958 140448 142272 144144 145288 145341 146304 146718 147648 150876 152019 152152 152262 153216 154432 156464 157248 158004 158496 159258 159952 160512 160721 163449 164736 165984 166104 170688 171171 172256 173736 173888 175332 176022 177408 177639 178308 178816 179946 180576 184912 185801 186732 187264 188214 189696 189943 192024 192192 193788 195326 195624 196864 201168 202692 203016 204554 208026 209664 209937 210672 211328 212344 213408 216216 217932 219456 219583 219934 221312 221472 227584 228228 228393 229824 231648 233776 234696 236852 237744 238887 239928 240768 247104 248976 250952 254254 256032 256256 258384 260604 260832 262998 264033 266112 268224 269919 270256 270688 277368 279916 280896 282321 284544 288288 290576 290682 292608 292989 293436 295296 301752 304038 304304 304524 306432 306831 308864 312039 312928 314496 316008 316992 318516 319904 321442 326898 329472 329901 331968 332208 341376 342342 344512 345059 347472 347776 350664 352044 355278 356616 357632 359892 361152 369824 371602 373464 374528 376428 379886 381381 384048 384384 387576 390652 391248 394497 402336 405384 406032 409108 416052 419874 421344 422656 424688 426816 432432 435864 438912 439166 439868 442624 442944 456057 456456 456786 459648 463296 467552 469392 473704 475488 477774 479856 481536 482163 490347 494208 497952 501904 508508 512064 513513 516768 521208 521664 525996 528066 532224 532917 536448 539838 540512 541376 554736 557403 559832 561792 564642 569088 569829 576576 581152 581364 585978 586872 590592 603504 608076 608608 609048 613662 617728 624078 625856 628992 629811 632016 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60941712 61155072 61234701 61716864 62764416 63239904 63340992 63820848 65216151 65629536 65729664 66251328 66801492 66859936 67592448 67680459 68213376 68559426 68754752 69099264 69431472 71098664 71347584 71798454 72003008 72274176 72368283 72938112 73225152 73833228 73897824 74532744 75005184 75217428 77293216 77349096 77935074 78548736 79881984 79985997 80266032 80615808 81003384 81255616 81646268 82055376 83135052 83794854 84319872 84380832 84454656 85094464 86954868 87506048 87753666 88335104 88367328 89068656 90240612 91412568 91732608 92575296 94859856 95011488 95731272 96491044 97633536 97760663 98444304 98530432 99376992 100202238 100289904 100991232 102320064 103132128 103913432 106647996 107021376 108004512 108411264 109407168 109837728 110846736 111726472 112507776 112826142 115939824 116023644 116750592 116902611 117004888 117823104 118758208 120320816 120923712 121505076 121883424 122469402 123433728 125528832 125692281 126479808 126681984 127641696 130432302 131259072 131459328 131630499 132502656 133602984 133719872 135360918 136426752 137118852 137509504 138862944 142197328 142695168 142880969 143596908 144006016 144736566 145876224 146450304 147666456 147795648 149065488 150434856 154586432 154698192 155870148 159971994 160532064 161231616 162006768 162511232 163292536 164110752 166270104 167589708 168639744 168761664 168859327 170188928 173909736 175012096 175507332 176734656 178137312 180481224 182825136 183465216 183704103 185150592 189719712 190022976 191462544 192982088 195521326 196888608 197060864 198753984 200404476 200579808 203041377 204640128 206264256 207826864 213295992 214042752 216009024 216822528 217104849 218814336 219675456 221693472 223452944 225015552 225652284 231879648 232047288 233805222 234009776 235646208 237516416 239957991 240641632 241847424 243010152 243766848 244938804 251384562 252959616 253363968 255283392 260864604 262518144 263260998 265005312 265350371 267205968 267439744 270721836 274237704 275019008 277725888 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653170144 656443008 665080416 670358832 675046656 675437308 695638944 701415666 702029328 706938624 712549248 721924896 731300544 734816412 754153686 758878848 760091904 765850176 771928352 782085304 787554432 789782994 795015936 796051113 801617904 802319232 812165508 825057024 831307456 853183968 857285814 864036096 868419396 878701824 879845967 886773888 893811776 902609136 927518592 928189152 935220888 936039104 959831964 962566528 972040608 975067392 979755216 1005538248 1013155962 1021133568 1043458416 1053043992 1061401484 1068823872 1082887344 1096950816 1102224618 1110903552 1137578624 1143047752 1148775264 1157892528 1173127956 1181331648 1192523904 1203478848 1237585536 1246961184 1279775952 1284256512 1285928721 1296054144 1302629094 1306340288 1312886016 1330160832 1340717664 1350874616 1391277888 1402831332 1404058656 1425098496 1443849792 1462601088 1469632824 1508307372 1517757696 1519733943 1531700352 1543856704 1564170608 1575108864 1579565988 1592102226 1603235808 1604638464 1624331016 1662614912 1706367936 1714571628 1736838792 1759691934 1773547776 1787623552 1805218272 1855037184 1856378304 1857452597 1870441776 1872078208 1919663928 1925133056 1944081216 1959510432 2011076496 2026311924 2086916832 2106087984 2122802968 2137647744 2165774688 2193901632 2204449236 2275157248 2286095504 2297550528 2315785056 2346255912 2362663296 2385047808 2388153339 2406957696 2475171072 2493922368 2559551904 2571857442 2592108288 2605258188 2612680576 2639537901 2660321664 2681435328 2701749232 2782555776 2805662664 2808117312 2887699584 2925202176 2939265648 3016614744 3039467886 3063400704 3087713408 3128341216 3159131976 3184204452 3206471616 3248662032 3325229824 3412735872 3429143256 3473677584 3519383868 3575247104 3610436544 3712756608 3714905194 3740883552 3744156416 3839327856 3857786163 3888162432 3919020864 4022152992 4052623848 4173833664 4212175968 4245605936 4275295488 4331549376 4387803264 4408898472 4559201829 4572191008 4595101056 4631570112 4692511824 4725326592 4776306678 4813915392 4987844736 5119103808 5143714884 5210516376 5225361152 5279075802 5320643328 5362870656 5403498464 5565111552 5572357791 5611325328 5616234624 5775399168 5878531296 6033229488 6078935772 6175426816 6256682432 6318263952 6368408904 6412943232 6497324064 6825471744 6858286512 6947355168 7038767736 7164460017 7220873088 7425513216 7429810388 7481767104 7678655712 7715572326 7776324864 7838041728 8044305984 8105247696 8347667328 8424351936 8491211872 8663098752 8775606528 8817796944 9118403658 9144382016 9190202112 9263140224 9385023648 9552613356 9975689472 10238207616 10287429768 10421032752 10558151604 10725741312 10806996928 11144715582 11222650656 11232469248 11757062592 12066458976 12157871544 12513364864 12636527904 12736817808 12825886464 12994648128 13716573024 13894710336 14077535472 14328920034 14441746176 14859620776 14963534208 15357311424 15431144652 15676083456 16088611968 16210495392 16695334656 16717073373 16848703872 16982423744 17326197504 17635593888 18236807316 18288764032 18526280448 18770047296 19105226712 20476415232 20574859536 20842065504 21116303208 21613993856 22289431164 22445301312 23514125184 24132917952 24315743088 25026729728 25273055808 25473635616 25989296256 27433146048 27789420672 28155070944 28657840068 29719241552 29927068416 30714622848 30862289304 32177223936 32420990784 33434146746 33697407744 33964847488 35271187776 36473614632 36577528064 37540094592 38210453424 41149719072 41684131008 42232606416 43227987712 44578862328 44890602624 47028250368 48265835904 48631486176 50151220119 50546111616 50947271232 51978592512 54866292096 55578841344 56310141888 57315680136 59438483104 61429245696 61724578608 64841981568 66868293492 67929694976 70542375552 72947229264 75080189184 76420906848 82299438144 83368262016 84465212832 89157724656 89781205248 96531671808 97262972352 100302440238 101092223232 101894542464 109732584192 112620283776 114631360272 118876966208 123449157216 129683963136 133736586984 141084751104 145894458528 152841813696 164598876288 166736524032 168930425664 178315449312 194525944704 200604880476 203789084928 225240567552 229262720544 237753932416 246898314432 267473173968 291788917056 305683627392 329197752576 337860851328 356630898624 389051889408 401209760952 458525441088 475507864832 493796628864 534946347936 583577834112 611367254784 675721702656 713261797248 802419521904 917050882176 987593257728 1069892695872 1167155668224 1426523594496 1604839043808 1834101764352 2139785391744 3209678087616 4279570783488 6419356175232 12838712350464
- Sum of all divisors σ(n): 54151544832000
- Sum of proper divisors (its aliquot sum) s(n): 41312832481536
- 12838712350464 is an abundant number, because the sum of its proper divisors (41312832481536) is greater than itself. Its abundance is 28474120131072
Bases of 12838712350464
- Binary: 101110101101001111101110001110010111000000002
- Hexadecimal: 0xBAD3EE39700
- Base-36: 4JU0TUIO0
Squares and roots of 12838712350464
- 12838712350464 squared (128387123504642) is 164832534817956847561015296
- 12838712350464 cubed (128387123504643) is 2116237500525589876704206436562416697344
-
The
square root of 12838712350464 is 3583114.8949571795 -
The
cube root of 12838712350464 is 23415.7005878807
Scales and comparisons
How big is 12838712350464?- 12,838,712,350,464 seconds is equal to 408,231 years, 17 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 12,838,712,350,464 would take you about one million, twenty thousand, five hundred seventy-eight 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 12838712350464 cubic inches would be around 1951.3 feet tall.
Recreational maths with 12838712350464
- 12838712350464 backwards is 46405321783821
- 12838712350464 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12838712350464's digits is 54
- More coming soon!
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"Number 12838712350464 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 12838712350464 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/12838712350464/
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Numbermatics. 2024. "Number 12838712350464 - Facts about the integer". https://numbermatics.com/n/12838712350464/
The information we have on file for 12838712350464 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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