12713578214400

Names of 12713578214400

• Cardinal: 12713578214400 can be written as Twelve trillion, seven hundred thirteen billion, five hundred seventy-eight million, two hundred fourteen thousand, four hundred.

Scientific notation

• Scientific notation: 1.27135782144 × 10¹³

Factors of 12713578214400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 1638

Divisors of 12713578214400

• Number of divisors d(n): 792
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 120 126 128 135 140 144 150 160 168 175 180 189 192 200 210 216 224 225 240 252 256 270 280 288 300 315 320 336 350 360 378 384 400 420 432 448 450 480 504 512 525 540 560 576 600 630 640 672 675 700 720 756 768 800 840 864 896 900 945 960 1008 1024 1050 1080 1120 1152 1200 1260 1280 1344 1350 1400 1440 1512 1536 1575 1600 1621 1680 1728 1792 1800 1890 1920 2016 2100 2160 2240 2304 2400 2520 2560 2688 2700 2800 2880 3024 3072 3150 3200 3242 3360 3456 3584 3600 3780 3840 4032 4200 4320 4480 4608 4725 4800 4863 5040 5120 5376 5400 5600 5760 6048 6300 6400 6484 6720 6912 7168 7200 7560 7680 8064 8105 8400 8640 8960 9216 9450 9600 9726 10080 10752 10800 11200 11347 11520 12096 12600 12800 12968 13440 13824 14400 14589 15120 15360 16128 16210 16800 17280 17920 18900 19200 19452 20160 21504 21600 22400 22694 23040 24192 24315 25200 25600 25936 26880 27648 28800 29178 30240 32256 32420 33600 34041 34560 35840 37800 38400 38904 40320 40525 43200 43767 44800 45388 46080 48384 48630 50400 51872 53760 56735 57600 58356 60480 64512 64840 67200 68082 69120 72945 75600 76800 77808 80640 81050 86400 87534 89600 90776 96768 97260 100800 102123 103744 107520 113470 115200 116712 120960 121575 129680 134400 136164 138240 145890 151200 155616 161280 162100 170205 172800 175068 179200 181552 193536 194520 201600 204246 207488 218835 226940 230400 233424 241920 243150 259360 268800 272328 283675 291780 302400 306369 311232 322560 324200 340410 345600 350136 363104 364725 389040 403200 408492 414976 437670 453880 466848 483840 486300 510615 518720 537600 544656 567350 583560 604800 612738 622464 648400 680820 691200 700272 726208 729450 778080 806400 816984 829952 851025 875340 907760 933696 967680 972600 1021230 1037440 1089312 1094175 1134700 1167120 1209600 1225476 1244928 1296800 1361640 1400544 1452416 1458900 1531845 1556160 1612800 1633968 1659904 1702050 1750680 1815520 1867392 1945200 2042460 2074880 2178624 2188350 2269400 2334240 2419200 2450952 2489856 2553075 2593600 2627641 2723280 2801088 2904832 2917800 3063690 3112320 3267936 3404100 3501360 3631040 3734784 3890400 4084920 4149760 4357248 4376700 4538800 4668480 4838400 4901904 4979712 5106150 5187200 5255282 5446560 5602176 5809664 5835600 6127380 6224640 6535872 6808200 7002720 7262080 7469568 7659225 7780800 7882923 8169840 8299520 8714496 8753400 9077600 9336960 9803808 10212300 10374400 10510564 10893120 11204352 11619328 11671200 12254760 12449280 13071744 13138205 13616400 14005440 14524160 14939136 15318450 15561600 15765846 16339680 17428992 17506800 18155200 18393487 18673920 19607616 20424600 20748800 21021128 21786240 22408704 23342400 23648769 24509520 24898560 26143488 26276410 27232800 28010880 29048320 30636900 31123200 31531692 32679360 34857984 35013600 36310400 36786974 37347840 39215232 39414615 40849200 41497600 42042256 43572480 44817408 46684800 47297538 49019040 52286976 52552820 54465600 55180461 56021760 58096640 61273800 62246400 63063384 65358720 65691025 70027200 70946307 72620800 73573948 74695680 78430464 78829230 81698400 84084512 87144960 91967435 93369600 94595076 98038080 104573952 105105640 108931200 110360922 112043520 118243845 122547600 124492800 126126768 130717440 131382050 140054400 141892614 145241600 147147896 156860928 157658460 163396800 165541383 168169024 174289920 183934870 186739200 189190152 196076160 197073075 210211280 217862400 220721844 224087040 236487690 245095200 252253536 261434880 262764100 275902305 280108800 283785228 290483200 294295792 313721856 315316920 326793600 331082766 336338048 354731535 367869740 373478400 378380304 392152320 394146150 420422560 435724800 441443688 459837175 472975380 490190400 496624149 504507072 522869760 525528200 551804610 560217600 567570456 588591584 591219225 630633840 653587200 662165532 672676096 709463070 735739480 756760608 784304640 788292300 827706915 840845120 871449600 882887376 919674350 945950760 980380800 993248298 1009014144 1051056400 1103609220 1120435200 1135140912 1177183168 1182438450 1261267680 1307174400 1324331064 1345352192 1379511525 1418926140 1471478960 1513521216 1568609280 1576584600 1655413830 1681690240 1765774752 1773657675 1839348700 1891901520 1960761600 1986496596 2018028288 2102112800 2207218440 2270281824 2354366336 2364876900 2483120745 2522535360 2614348800 2648662128 2690704384 2759023050 2837852280 2942957920 3027042432 3153169200 3310827660 3363380480 3531549504 3547315350 3678697400 3783803040 3921523200 3972993192 4036056576 4138534575 4204225600 4414436880 4540563648 4708732672 4729753800 4966241490 5045070720 5297324256 5518046100 5675704560 5885915840 6054084864 6306338400 6621655320 6726760960 7063099008 7094630700 7357394800 7567606080 7843046400 7945986384 8072113152 8277069150 8408451200 8828873760 9081127296 9417465344 9459507600 9932482980 10090141440 10594648512 11036092200 11351409120 11771831680 12108169728 12415603725 12612676800 13243310640 13453521920 14126198016 14189261400 14714789600 15135212160 15891972768 16554138300 16816902400 17657747520 18162254592 18834930688 18919015200 19864965960 20180282880 21189297024 22072184400 22702818240 23543663360 24216339456 24831207450 25225353600 26486621280 28252396032 28378522800 29429579200 30270424320 31783945536 33108276600 33633804800 35315495040 36324509184 37838030400 39729931920 40360565760 42378594048 44144368800 45405636480 47087326720 49662414900 50450707200 52973242560 56504792064 56757045600 58859158400 60540848640 63567891072 66216553200 67267609600 70630990080 72649018368 75676060800 79459863840 84757188096 88288737600 90811272960 94174653440 99324829800 100901414400 105946485120 113514091200 117718316800 121081697280 127135782144 132433106400 141261980160 151352121600 158919727680 169514376192 176577475200 181622545920 198649659600 201802828800 211892970240 227028182400 235436633600 254271564288 264866212800 282523960320 302704243200 317839455360 353154950400 363245091840 397299319200 423785940480 454056364800 470873267200 508543128576 529732425600 605408486400 635678910720 706309900800 794598638400 847571880960 908112729600 1059464851200 1271357821440 1412619801600 1589197276800 1816225459200 2118929702400 2542715642880 3178394553600 4237859404800 6356789107200 12713578214400
• Sum of all divisors σ(n): 53390445501120
• Sum of proper divisors (its aliquot sum) s(n): 40676867286720
• 12713578214400 is an abundant number, because the sum of its proper divisors (40676867286720) is greater than itself. Its abundance is 27963289072320

Bases of 12713578214400

• Binary: 10111001000000011100010100000011010000000000₂
• Hexadecimal: 0xB901C503400
• Base-36: 4I8JC7PC0

Squares and roots of 12713578214400

• 12713578214400 squared (12713578214400²) is 161635071013666292367360000
• 12713578214400 cubed (12713578214400³) is 2054960117522344699313289097641984000000
• The square root of 12713578214400 is 3565610.4967312399
• The cube root of 12713578214400 is 23339.3773863957

Scales and comparisons

• 12,713,578,214,400 seconds is equal to 404,252 years, 24 weeks.
• To count from 1 to 12,713,578,214,400 would take you about one million, ten 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 12713578214400 cubic inches would be around 1944.9 feet tall.

Recreational maths with 12713578214400

• 12713578214400 backwards is 00441287531721
• 12713578214400 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12713578214400's digits is 45
• More coming soon!