13671430788412400
13,671,430,788,412,400 is an even composite number composed of eight prime numbers multiplied together.
13671430788412400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13671430788412400:
24 × 52 × 23 × 31 × 67 × 601 × 661 × 1801
(2 × 2 × 2 × 2 × 5 × 5 × 23 × 31 × 67 × 601 × 661 × 1801)See below for interesting mathematical facts about the number 13671430788412400 from the Numbermatics database.
Names of 13671430788412400
- Cardinal: 13671430788412400 can be written as Thirteen quadrillion, six hundred seventy-one trillion, four hundred thirty billion, seven hundred eighty-eight million, four hundred twelve thousand, four hundred.
Scientific notation
- Scientific notation: 1.36714307884124 × 1016
Factors of 13671430788412400
Divisors of 13671430788412400
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 31 40 46 50 62 67 80 92 100 115 124 134 155 184 200 230 248 268 310 335 368 400 460 496 536 575 601 620 661 670 713 775 920 1072 1150 1202 1240 1322 1340 1426 1541 1550 1675 1801 1840 2077 2300 2404 2480 2644 2680 2852 3005 3082 3100 3305 3350 3565 3602 4154 4600 4808 5288 5360 5704 6010 6164 6200 6610 6700 7130 7204 7705 8308 9005 9200 9616 10385 10576 11408 12020 12328 12400 13220 13400 13823 14260 14408 15025 15203 15410 16525 16616 17825 18010 18631 20491 20770 24040 24656 26440 26800 27646 28520 28816 30050 30406 30820 33050 33232 35650 36020 37262 38525 40267 40982 41423 41540 44287 45025 47771 48080 51925 52880 55292 55831 57040 60100 60812 61640 66100 69115 71300 72040 74524 76015 77050 80534 81964 82846 83080 88574 90050 93155 95542 102455 103850 110584 111662 120200 120667 121624 123280 132200 138230 142600 144080 149048 152030 154100 161068 163928 165692 166160 177148 180100 186310 191084 201335 204910 207115 207700 221168 221435 223324 238855 240400 241334 243248 264400 276460 279155 285200 298096 304060 308200 322136 327856 331384 345575 354296 360200 372620 380075 382168 397261 402670 409820 414230 415400 428513 442870 446648 465775 471293 477710 482668 512275 552920 558310 603335 608120 616400 644272 662768 691150 708592 720400 745240 760150 764336 794522 805340 819640 828460 830800 857026 885740 893296 926141 931550 942586 955420 965336 1006675 1018601 1024550 1035575 1082401 1105840 1107175 1116620 1190461 1194275 1206670 1216240 1248277 1284113 1372897 1382300 1395775 1490480 1520300 1589044 1610680 1639280 1656920 1714052 1771480 1852282 1863100 1885172 1910840 1930672 1986305 2013350 2037202 2049100 2071150 2142565 2164802 2214350 2233240 2356465 2380922 2388550 2413340 2496554 2568226 2745794 2764600 2775341 2791550 3016675 3040600 3178088 3221360 3313840 3428104 3542960 3704564 3726200 3740677 3770344 3821680 3972610 4026700 4074404 4098200 4142300 4285130 4329604 4428700 4466480 4630705 4712930 4761844 4777100 4826680 4993108 5093005 5136452 5412005 5491588 5529200 5550682 5583100 5952305 6033350 6081200 6241385 6356176 6420565 6856208 6864485 7409128 7452400 7481354 7540688 7945220 8053400 8148808 8196400 8284600 8570260 8659208 8857400 9137003 9261410 9425860 9523688 9554200 9653360 9931525 9986216 10186010 10272904 10712825 10824010 10983176 11101364 11166200 11782325 11904610 12066700 12315091 12482770 12841130 13728970 13876705 14818256 14962708 15890440 16106800 16297616 16569200 17140520 17318416 17714800 18274006 18522820 18703385 18851720 19047376 19108400 19863050 19972432 20372020 20545808 21425650 21648020 21966352 22202728 22332400 23153525 23564650 23809220 24133400 24630182 24895223 24965540 25465025 25682260 26616487 27060025 27380603 27457940 27753410 28710371 29761525 29925416 31206925 31576631 31780880 32102825 33554431 34281040 34322425 36548012 36904291 37045640 37406770 37703440 39726100 40744040 42851300 43296040 44405456 45685015 46307050 47129300 47618440 48266800 49260364 49790446 49931080 50930050 51364520 53232974 54120050 54761206 54915880 55506820 57420742 59523050 59850832 61575455 62413850 63153262 64205650 67108862 68644850 69383525 72520867 73096024 73808582 74091280 74813540 79452200 79760887 81488080 85702600 86035571 86592080 91370030 92614100 93516925 94258600 95236880 98520728 99580892 99862160 101860100 102729040 106465948 108240100 109522412 109831760 111013640 114841484 119046100 123150910 124476115 124827700 126306524 128411300 133082435 134217724 136903015 137289700 138767050 143551855 145041734 146192048 147617164 149627080 157883155 158904400 159521774 167772155 171405200 172071142 182740060 184521455 185228200 187033850 188517200 197041456 199161784 203720200 212931896 216480200 219044824 222027280 228425075 229682968 238092200 246301820 248952230 249655400 252613048 256822600 266164870 268435448 273806030 274579400 277534100 283247093 287103710 290083468 295234328 299254160 307877275 315766310 319043548 335544310 344142284 362604335 365480120 369042910 370456400 374067700 398323568 398804435 407440400 425863792 430177855 432960400 438089648 456850150 459365936 476184400 492603640 497904460 499310800 505226096 513645200 532329740 536870896 547612060 549158800 555068200 566494186 574207420 580166936 590468656 612179201 615754550 622380575 631532620 638087096 665412175 671088620 684515075 688284568 715467061 717759275 725208670 730960240 738085820 748135400 771751913 789415775 797608870 825111097 838860775 848798693 860355710 913700300 922607275 985207280 995808920 1064659480 1095224120 1110136400 1132988372 1148414840 1160333872 1224358402 1231509100 1244761150 1263065240 1276174192 1330824350 1342177240 1369030150 1376569136 1416235465 1430934122 1435518550 1450417340 1476171640 1496270800 1543503826 1578831550 1595217740 1650222194 1667979941 1677721550 1697597386 1720711420 1813021675 1827400600 1834500401 1845214550 1991617840 1994022175 2129318960 2150889275 2190448240 2248146877 2265976744 2296829680 2448716804 2463018200 2472587497 2489522300 2526130480 2661648700 2684354480 2738060300 2832470930 2861868244 2871037100 2900834680 2952343280 3060896005 3087007652 3157663100 3190435480 3300444388 3335959882 3355443100 3395194772 3441422840 3577335305 3626043350 3654801200 3669000802 3690429100 3858759565 3988044350 4125555485 4243993465 4301778550 4496293754 4531953488 4897433608 4926036400 4945174994 4979044600 5323297400 5476120600 5664941860 5723736488 5742074200 5801669360 6121792010 6174015304 6315326200 6380870960 6600888776 6671919764 6710886200 6790389544 6882845680 7081177325 7154670610 7252086700 7338001604 7380858200 7717519130 7976088700 8251110970 8339899705 8487986930 8603557100 8992587508 9172502005 9794867216 9890349988 9958089200 10646594800 10952241200 11240734385 11329883720 11447472976 11484148400 12243584020 12348030608 12362937485 12630652400 13201777552 13343839528 13421772400 13580779088 14162354650 14309341220 14504173400 14676003208 14761716400 15304480025 15435038260 15952177400 16455742403 16502221940 16679799410 16975973860 17207114200 17886676525 17985175016 18345004010 18977555231 19293797825 19780699976 20627777425 21219967325 22179478891 22481468770 22659767440 24487168040 24725874970 26687679056 28324709300 28618682440 29008346800 29352006416 30608960050 30870076520 31904354800 32911484806 33004443880 33359598820 33951947720 34414228400 35773353050 35970350032 36690008020 37955110462 38587595650 39561399952 41255554850 41699498525 42439934650 44358957782 44962937540 45862510025 47936293087 48974336080 49451749940 51707378171 56203671925 56649418600 56869512431 57237364880 61217920100 61740153040 61814687425 65822969612 66008887760 66719197640 67903895440 71546706100 73380016040 75910220924 77175191300 82278712015 82511109700 83398997050 84879869300 88717915564 89925875080 91725020050 94887776155 95872586174 98903499880 103414756342 110897394455 112407343850 113298837200 113739024862 122435840200 123629374850 131645939224 133438395280 143093412200 146760032080 151820441848 154350382600 164557424030 165022219400 166797994100 169759738600 177435831128 179851750160 183450040100 189775552310 191745172348 197806999760 206829512684 221794788910 224814687700 227478049724 239681465435 244871680400 247258749700 258536890855 263291878448 284347562155 286186824400 303640883696 308700765200 329114848060 330044438800 333595988200 339519477200 354871662256 366900080200 379551104620 383490344696 411393560075 413659025368 443589577820 449629375400 454956099448 474438880775 479362930870 494517499400 510128014493 517073781710 554486972275 568695124310 658229696120 667191976400 733800160400 759102209240 766980689392 822787120150 827318050736 887179155640 899258750800 909912198896 948877761550 958725861740 989034998800 1020256028986 1034147563420 1102534741001 1108973944550 1137390248620 1198407327175 1292684454275 1316459392240 1421737810775 1486025085697 1518204418480 1645574240300 1774358311280 1897755523100 1917451723480 2040512057972 2068295126840 2205069482002 2217947889100 2274780497240 2396814654350 2550640072465 2585368908550 2843475621550 2972050171394 3291148480600 3795511046200 3834903446960 4081024115944 4136590253680 4410138964004 4435895778200 4549560994480 4793629308700 5101280144930 5170737817100 5512673705005 5686951243100 5944100342788 6582296961200 7430125428485 7591022092400 8162048231888 8820277928008 8871791556400 9587258617400 10202560289860 10341475634200 11025347410010 11373902486200 11888200685576 12753200362325 14860250856970 17640555856016 19174517234800 20405120579720 20682951268400 22050694820020 22747804972400 23776401371152 25506400724650 27563368525025 29720501713940 34178576971031 37150627142425 40810241159440 44101389640040 51012801449300 55126737050050 59441003427880 68357153942062 74301254284850 88202779280080 102025602898600 110253474100100 118882006855760 136714307884124 148602508569700 170892884855155 204051205797200 220506948200200 273428615768248 297205017139400 341785769710310 441013896400400 546857231536496 594410034278800 683571539420620 854464424275775 1367143078841240 1708928848551550 2734286157682480 3417857697103100 6835715394206200 13671430788412400
- Sum of all divisors σ(n): 36041494215401472
- Sum of proper divisors (its aliquot sum) s(n): 22370063426989072
- 13671430788412400 is an abundant number, because the sum of its proper divisors (22370063426989072) is greater than itself. Its abundance is 8698632638576672
Bases of 13671430788412400
- Binary: 1100001001001000011000000001111011011011110011111100002
- Hexadecimal: 0x30921807B6F3F0
- Base-36: 3QM48LLJDGW
Squares and roots of 13671430788412400
- 13671430788412400 squared (136714307884124002) is 186908019802350497058112473760000
- 13671430788412400 cubed (136714307884124003) is 2555300056527049127613871643916071707058624000000
-
The
square root of 13671430788412400 is 116924893.7926068847 -
The
cube root of 13671430788412400 is 239113.8081158033
Scales and comparisons
How big is 13671430788412400?- 13,671,430,788,412,400 seconds is equal to 434,709,210 years, 29 weeks, 15 hours, 53 minutes, 20 seconds.
-
To count from 1 to 13,671,430,788,412,400 would take you about one billion, three hundred four million, one hundred twenty-seven thousand, six hundred thirty-one 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 13671430788412400 cubic inches would be around 19926.2 feet tall.
Recreational maths with 13671430788412400
- 13671430788412400 backwards is 00421488703417631
- The number of decimal digits it has is: 17
- The sum of 13671430788412400's digits is 59
- More coming soon!
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The information we have on file for 13671430788412400 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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