12824814919280

Names of 12824814919280

• Cardinal: 12824814919280 can be written as Twelve trillion, eight hundred twenty-four billion, eight hundred fourteen million, nine hundred nineteen thousand, two hundred eighty.

Scientific notation

• Scientific notation: 1.282481491928 × 10¹³

Factors of 12824814919280

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1284

Divisors of 12824814919280

• Number of divisors d(n): 800
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 26 28 35 37 40 49 52 56 65 70 74 80 91 98 104 112 127 130 140 148 182 185 196 208 245 254 259 260 280 296 343 364 370 392 455 481 490 508 518 520 560 592 635 637 686 728 740 784 889 910 962 980 1016 1036 1040 1093 1270 1274 1295 1372 1456 1480 1651 1715 1778 1813 1820 1924 1960 2032 2072 2186 2401 2405 2540 2548 2590 2744 2960 3185 3302 3367 3430 3556 3626 3640 3848 3920 4144 4372 4445 4459 4699 4802 4810 5080 5096 5180 5465 5488 6223 6370 6604 6734 6860 7112 7252 7280 7651 7696 8255 8744 8890 8918 9065 9398 9604 9620 10160 10192 10360 10930 11557 12005 12446 12691 12740 13208 13468 13720 14209 14224 14504 15302 16510 16835 17488 17780 17836 18130 18796 19208 19240 20720 21860 22295 23114 23495 23569 24010 24892 25382 25480 26416 26936 27440 28418 29008 30604 31115 31213 32893 33020 33670 35560 35672 36260 37592 38255 38416 38480 40441 43561 43720 44590 46228 46990 47138 48020 49784 50764 50960 53557 53872 56836 57785 61087 61208 62230 62426 63455 65786 66040 67340 71045 71120 71344 72520 75184 76510 80882 80899 87122 87440 88837 89180 92456 93980 94276 96040 99463 99568 101528 107114 113672 115570 117845 122174 122416 124460 124852 126910 131572 132080 134680 138811 142090 145040 153020 156065 161764 161798 164465 164983 174244 177674 178360 184912 187960 188552 192080 198926 202205 203056 214228 217805 227344 230251 231140 235690 244348 248920 249704 253820 263144 267785 269360 277622 283087 284180 304927 305435 306040 312130 323528 323596 328930 329966 348488 355348 356720 374899 375920 377104 397852 404410 404495 427609 428456 435610 444185 460502 462280 471380 488696 497315 497840 499408 507640 525733 526288 535570 555244 566174 566293 568360 609854 610870 612080 624260 647056 647192 657860 659932 694055 696241 696976 710696 749798 795704 808820 808990 824915 855218 856912 871220 888370 921004 924560 942760 971677 977392 994630 1015280 1051466 1071140 1110488 1132348 1132586 1136720 1151255 1154881 1219708 1221740 1248520 1294384 1315720 1319864 1388110 1392482 1415435 1421392 1499596 1524635 1591408 1611757 1617640 1617980 1649830 1710436 1742440 1776740 1804543 1842008 1874495 1885520 1943354 1981609 1989260 2102932 2138045 2142280 2220976 2264696 2265172 2302510 2309762 2439416 2443480 2497040 2624293 2628665 2631440 2639728 2776220 2784964 2830870 2831465 2993263 2999192 3049270 3223514 3235280 3235960 3299660 3420872 3481205 3484880 3553480 3609086 3680131 3684016 3748990 3886708 3963218 3964051 3978520 4205864 4276090 4284560 4529392 4530344 4605020 4619524 4858385 4873687 4878832 4886960 5136007 5248586 5257330 5552440 5569928 5661740 5662930 5774405 5986526 5998384 6098540 6447028 6471920 6599320 6801739 6841744 6962410 7106960 7218172 7360262 7497980 7773416 7926436 7928102 7957040 8058785 8411728 8552180 9022715 9060688 9210040 9239048 9716770 9747374 9908045 10272014 10497172 10514660 11104880 11139856 11282299 11323480 11325860 11548810 11973052 12197080 12631801 12894056 13121465 13198640 13603478 13871263 13924820 14436344 14720524 14966315 14995960 15546832 15852872 15856204 16117570 17104360 18045430 18400655 18420080 18478096 19433540 19494748 19816090 19820255 20544028 20952841 20994344 21029320 22564598 22646960 22651720 23097620 23946104 24368435 24394160 25263602 25680035 25760917 25788112 26242930 27206956 27742526 27849640 28872688 29441048 29932630 29991920 31705744 31712408 32235140 34008695 34115809 34208720 35952049 36090860 36801310 38867080 38989496 39632180 39640510 41088056 41905682 41988688 42058640 45129196 45303440 46195240 47612173 47892208 48736870 50527204 51360070 51521834 52485860 54413912 55485052 55699280 56411495 58882096 59865260 63159005 63424816 64470280 66768091 68017390 68231618 69356315 71904098 72181720 73602620 77734160 77978992 79264360 79281020 82176112 83811364 88422607 90258392 92390480 95224346 97098841 97473740 101054408 102720140 103043668 104764205 104971720 108827824 110970104 112822990 119730520 126318010 128804585 128940560 133536182 136034780 136463236 138712630 143808196 144363440 146669887 147205240 158528720 158562040 167622728 170579045 176845214 179760245 180326419 180516784 190448692 194197682 194947480 202108816 205440280 206087336 209528410 209943440 221940208 225645980 238060865 239461040 251664343 252636020 257609170 267072364 272069560 272926472 277425260 287616392 293339774 294410480 317124080 333285211 333840455 335245456 341158090 353690428 359520490 360652838 380897384 388395364 389894960 410880560 412174672 419056820 442113035 451291960 467376637 476121730 485494205 503328686 505272040 515218340 534144728 544139120 545852944 554850520 575232784 586679548 618958249 666570422 667680910 682316180 707380856 719040980 721305676 733349435 761794768 776790728 838113640 884226070 901632095 902583920 934753274 952243460 970988410 1006657372 1010544080 1030436680 1068289456 1109701040 1173359096 1237916498 1258321715 1262284933 1333140844 1335361820 1364632360 1414761712 1438081960 1442611352 1466698870 1553581456 1666426055 1676227280 1761650401 1768452140 1803264190 1869506548 1904486920 1941976820 2013314744 2060873360 2336883185 2346718192 2475832996 2516643430 2524569866 2666281688 2670723640 2729264720 2876163920 2885222704 2933397740 3094791245 3271636459 3332852110 3523300802 3536904280 3606528380 3739013096 3808973840 3883953640 4026629488 4332707743 4673766370 4951665992 5033286860 5049139732 5332563376 5341447280 5866795480 6189582490 6311424665 6543272918 6665704220 7046601604 7073808560 7213056760 7478026192 7767907280 8665415486 8808252005 9347532740 9903331984 10066573720 10098279464 11733590960 12331552807 12379164980 12622849330 13086545836 13331408440 14093203208 14426113520 16358182295 17330830972 17616504010 18695065480 20133147440 20196558928 21663538715 22901455213 24663105614 24758329960 25245698660 26173091672 26662816880 28186406416 32716364590 34661661944 35233008020 37390130960 43327077430 45802910426 49326211228 49516659920 50491397320 52346183344 61657764035 65432729180 69323323888 70466016040 86654154860 91605820852 98652422456 100982794640 114507276065 123315528070 130865458360 140932032080 160310186491 173308309720 183211641704 197304844912 229014552130 246631056140 261730916720 320620372982 346616619440 366423283408 458029104260 493262112280 641240745964 801550932455 916058208520 986524224560 1282481491928 1603101864910 1832116417040 2564962983856 3206203729820 6412407459640 12824814919280
• Sum of all divisors σ(n): 38811906545664
• Sum of proper divisors (its aliquot sum) s(n): 25987091626384
• 12824814919280 is an abundant number, because the sum of its proper divisors (25987091626384) is greater than itself. Its abundance is 13162276707104

Bases of 12824814919280

• Binary: 10111010101000000010100010011001111001110000₂
• Hexadecimal: 0xBAA02899E70
• Base-36: 4JNMZOC4W

Squares and roots of 12824814919280

• 12824814919280 squared (12824814919280²) is 164475877713786872915718400
• 12824814919280 cubed (12824814919280³) is 2109372690365446745515722690339210752000
• The square root of 12824814919280 is 3581175.0752064609
• The cube root of 12824814919280 is 23407.2486609531

Scales and comparisons

• 12,824,814,919,280 seconds is equal to 407,789 years, 23 weeks, 20 hours, 41 minutes, 20 seconds.
• To count from 1 to 12,824,814,919,280 would take you about one million, nineteen thousand, four hundred seventy-three 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 12824814919280 cubic inches would be around 1950.6 feet tall.

Recreational maths with 12824814919280

• 12824814919280 backwards is 08291941842821
• The number of decimal digits it has is: 14
• The sum of 12824814919280's digits is 59
• More coming soon!