14638090137984
14,638,090,137,984 is an even composite number composed of six prime numbers multiplied together.
14638090137984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 14638090137984:
27 × 33 × 192 × 29 × 312 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 19 × 19 × 29 × 31 × 31 × 421)See below for interesting mathematical facts about the number 14638090137984 from the Numbermatics database.
Names of 14638090137984
- Cardinal: 14638090137984 can be written as Fourteen trillion, six hundred thirty-eight billion, ninety million, one hundred thirty-seven thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.4638090137984 × 1013
Factors of 14638090137984
Divisors of 14638090137984
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 29 31 32 36 38 48 54 57 58 62 64 72 76 87 93 96 108 114 116 124 128 144 152 171 174 186 192 216 228 232 248 261 279 288 304 342 348 361 372 384 421 432 456 464 496 513 522 551 558 576 589 608 684 696 722 744 783 837 842 864 899 912 928 961 992 1026 1044 1083 1102 1116 1152 1178 1216 1263 1368 1392 1444 1488 1566 1653 1674 1684 1728 1767 1798 1824 1856 1922 1984 2052 2088 2166 2204 2232 2356 2432 2526 2697 2736 2784 2883 2888 2976 3132 3249 3306 3348 3368 3456 3534 3596 3648 3712 3789 3844 3968 4104 4176 4332 4408 4464 4712 4959 5052 5301 5394 5472 5568 5766 5776 5952 6264 6498 6612 6696 6736 7068 7192 7296 7578 7688 7999 8091 8208 8352 8649 8664 8816 8928 9424 9747 9918 10104 10469 10602 10788 10944 11136 11191 11367 11532 11552 11904 12209 12528 12996 13051 13224 13392 13472 14136 14384 14877 15156 15376 15903 15998 16182 16416 16704 17081 17298 17328 17632 17856 18259 18848 19494 19836 20208 20938 21204 21576 21888 22382 22734 23064 23104 23997 24273 24418 25056 25947 25992 26102 26448 26784 26944 27869 28272 28768 29754 30312 30752 31407 31806 31996 32364 32832 33408 33573 34162 34596 34656 35264 35712 36518 36627 37696 38988 39153 39672 40416 41876 42408 43152 44764 45468 46128 46208 47994 48546 48836 50112 51243 51894 51984 52204 52896 53568 53888 54777 55738 56544 57536 59508 60624 61504 62814 63612 63992 64728 65664 67146 68324 69192 69312 70528 71991 73036 73254 75392 77976 78306 79344 80832 83607 83752 84816 86304 89528 90936 92256 94221 95988 97092 97672 100224 100719 102486 103788 103968 104408 105792 107136 109554 109881 111476 113088 115072 117459 119016 121248 123008 125628 127224 127984 129456 134292 136648 138384 138624 143982 146072 146508 151981 153729 155952 156612 158688 161664 164331 167214 167504 169632 172608 179056 181872 184512 188442 191976 194184 195344 201438 204972 207576 207936 208816 211584 215973 219108 219762 222952 226176 231971 234918 238032 242496 247969 250821 251256 254448 255968 258912 268584 273296 276768 282663 287964 292144 293016 302157 303962 307458 311904 313224 317376 324539 328662 329643 334428 335008 339264 345216 346921 352377 358112 363744 369024 376884 378479 383952 388368 390688 402876 404581 409944 415152 415872 417632 431946 438216 439524 445904 455943 461187 463942 469836 476064 484992 492993 495938 501642 502512 508896 511936 517824 529511 537168 546592 553536 565326 575928 584288 586032 604314 607924 614916 623808 626448 634752 649078 657324 659286 668856 670016 678528 693842 695913 704754 716224 727488 743907 752463 753768 756958 767904 776736 781376 805752 809162 819888 830304 835264 863892 876432 879048 891808 911886 922374 927884 939672 952128 973617 985986 991876 1003284 1005024 1017792 1023872 1035648 1040763 1059022 1074336 1093184 1107072 1130652 1135437 1151856 1168576 1172064 1208628 1213743 1215848 1229832 1247616 1252896 1298156 1314648 1318572 1337712 1340032 1367829 1387684 1391826 1409508 1432448 1454976 1487814 1504926 1507536 1513916 1535808 1553472 1562752 1588533 1611504 1618324 1639776 1660608 1670528 1727784 1752864 1758096 1783616 1823772 1844748 1855768 1879344 1904256 1947234 1971972 1983752 2006568 2010048 2035584 2081526 2087739 2118044 2148672 2186368 2231721 2261304 2270874 2303712 2337152 2344128 2417256 2427486 2431696 2459664 2505792 2596312 2629296 2637144 2675424 2735658 2775368 2783652 2819016 2920851 2975628 3009852 3015072 3027832 3071616 3106944 3122289 3177066 3223008 3236648 3279552 3321216 3406311 3455568 3505728 3516192 3567232 3641229 3647544 3689496 3711536 3758688 3894468 3943944 3967504 4013136 4020096 4103487 4163052 4175478 4236088 4297344 4407449 4463442 4522608 4541748 4607424 4688256 4711411 4765599 4834512 4854972 4863392 4919328 5011584 5192624 5258592 5274288 5350848 5471316 5550736 5567304 5638032 5841702 5951256 6019704 6030144 6055664 6244578 6263217 6354132 6446016 6473296 6559104 6695163 6812622 6911136 7011456 7032384 7191101 7282458 7295088 7378992 7423072 7517376 7687039 7788936 7887888 7935008 8026272 8206974 8326104 8350956 8472176 8762553 8814898 8926884 9045216 9083496 9214848 9366867 9422822 9531198 9669024 9709944 9726784 9838656 10060709 10218933 10385248 10517184 10548576 10701696 10923687 10942632 11101472 11134608 11276064 11683404 11732849 11902512 12039408 12060288 12111328 12489156 12526434 12708264 12892032 12946592 13222347 13390326 13625244 13822272 14064768 14134233 14296797 14382202 14564916 14590176 14757984 14846144 15034752 15374078 15577872 15775776 15870016 16052544 16413948 16652208 16701912 16944352 17525106 17629796 17853768 18090432 18166992 18733734 18845644 19062396 19338048 19419888 19453568 19677312 20121418 20437866 20770496 21034368 21097152 21573303 21847374 21885264 22202944 22269216 22552128 23061117 23366808 23465698 23805024 24078816 24222656 24978312 25052868 25416528 25893184 26444694 26780652 27250488 27644544 28268466 28593594 28764404 29129832 29180352 29515968 29692288 30182127 30748156 31155744 31551552 31740032 32105088 32827896 33304416 33403824 33888704 35050212 35198547 35259592 35707536 36180864 36333984 37467468 37691288 38124792 38676096 38839776 39667041 40242836 40875732 41540992 42194304 42402699 43146606 43694748 43770528 44405888 44538432 45104256 46122234 46733616 46931396 47610048 48157632 48445312 49956624 50105736 50833056 51786368 52889388 53561304 54500976 56536932 57187188 57528808 58259664 58360704 59031936 60364254 61496312 62311488 63103104 64719909 65655792 66608832 66807648 67777408 69183351 70100424 70397094 70519184 71415072 72667968 74934936 75382576 76249584 77679552 79334082 80485672 81751464 84805398 86293212 87389496 87541056 89076864 90546381 92244468 93467232 93862792 95220096 96315264 99913248 100211472 101666112 105595641 105778776 107122608 109001952 113073864 114374376 115057616 116519328 119001123 120728508 122992624 124622976 127208097 129439818 131311584 133217664 133615296 136630919 138366702 140200848 140794188 141038368 142830144 145335936 146053741 149869872 150765152 152499168 155359104 158668164 160971344 163502928 169610796 172586424 174778992 175082112 181092762 184488936 186934464 187725584 194159727 199826496 200422944 203332224 207550053 211191282 211557552 214245216 218003904 222924131 226147728 228748752 230115232 233038656 238002246 241457016 245985248 254416194 258879636 262623168 267230592 271639143 273261838 276733404 280401696 281588376 282076736 285660288 292107482 299739744 301530304 304998336 316786923 317336328 321942688 327005856 339221592 345172848 349557984 362185524 368977872 373868928 375451168 388319454 399652992 400845888 409892757 415100106 422382564 423115104 428490432 436007808 438161223 445848262 452295456 457497504 460230464 466077312 476004492 482914032 491970496 508832388 517759272 525246336 543278286 546523676 553466808 560803392 563176752 564153472 584214964 599479488 603060608 609996672 633573846 634672656 643885376 654011712 668772393 678443184 690345696 699115968 724371048 737955744 750902336 776638908 801691776 819785514 830200212 844765128 846230208 856980864 876322446 891696524 904590912 914995008 920460928 952008984 965828064 983940992 1017664776 1035518544 1086556572 1093047352 1106933616 1121606784 1126353504 1168429928 1198958976 1229678271 1267147692 1269345312 1287770752 1308023424 1314483669 1337544786 1356886368 1380691392 1398231936 1448742096 1475911488 1501804672 1553277816 1639571028 1660400424 1689530256 1692460416 1752644892 1783393048 1809181824 1829990016 1904017968 1931656128 2006317179 2035329552 2071037088 2173113144 2186094704 2213867232 2252707008 2336859856 2459356542 2534295384 2538690624 2628967338 2675089572 2713772736 2761382784 2897484192 2951822976 3106555632 3279142056 3320800848 3379060512 3505289784 3566786096 3689034813 3808035936 3863312256 3943451007 4012634358 4070659104 4142074176 4235558489 4346226288 4372189408 4427734464 4505414016 4673719712 4918713084 5068590768 5077381248 5257934676 5350179144 5427545472 5794968384 6018951537 6213111264 6558284112 6641601696 6758121024 7010579568 7133572192 7378069626 7616071872 7886902014 8025268716 8141318208 8284148352 8471116978 8692452576 8744378816 8855468928 9347439424 9837426168 10137181536 10515869352 10700358288 11589936768 12037903074 12426222528 12706675467 13116568224 13283203392 13516242048 14021159136 14267144384 14756139252 15232143744 15773804028 16050537432 16282636416 16942233956 17384905152 17488757632 18694878848 19674852336 20274363072 21031738704 21400716576 24075806148 24852445056 25413350934 26233136448 26566406784 28042318272 28534288768 29512278504 31547608056 32101074864 33884467912 34769810304 38120026401 39349704672 40548726144 42063477408 42801433152 48151612296 50826701868 52466272896 56084636544 59024557008 63095216112 64202149728 67768935824 76240052802 78699409344 84126954816 85602866304 96303224592 101653403736 114360079203 118049114016 126190432224 128404299456 135537871648 152480105604 157398818688 168253909632 192606449184 203306807472 228720158406 236098228032 252380864448 256808598912 271075743296 304960211208 385212898368 406613614944 457440316812 472196456064 504761728896 542151486592 609920422416 770425796736 813227229888 914880633624 1219840844832 1626454459776 1829761267248 2439681689664 3659522534496 4879363379328 7319045068992 14638090137984
- Sum of all divisors σ(n): 48854896956000
- Sum of proper divisors (its aliquot sum) s(n): 34216806818016
- 14638090137984 is an abundant number, because the sum of its proper divisors (34216806818016) is greater than itself. Its abundance is 19578716680032
Bases of 14638090137984
- Binary: 110101010000001100100010100110110001100000002
- Hexadecimal: 0xD503229B180
- Base-36: 56SN8X9C0
Squares and roots of 14638090137984
- 14638090137984 squared (146380901379842) is 214273682887744440159584256
- 14638090137984 cubed (146380901379843) is 3136557484308602871638137532891113979904
-
The
square root of 14638090137984 is 3825975.7105846869 -
The
cube root of 14638090137984 is 24462.1601838489
Scales and comparisons
How big is 14638090137984?- 14,638,090,137,984 seconds is equal to 465,445 years, 51 weeks, 2 days, 13 hours, 26 minutes, 24 seconds.
-
To count from 1 to 14,638,090,137,984 would take you about one million, one hundred sixty-three thousand, six hundred fourteen 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 14638090137984 cubic inches would be around 2038.5 feet tall.
Recreational maths with 14638090137984
- 14638090137984 backwards is 48973109083641
- The number of decimal digits it has is: 14
- The sum of 14638090137984's digits is 63
- More coming soon!
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The information we have on file for 14638090137984 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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