12853193516800

Names of 12853193516800

• Cardinal: 12853193516800 can be written as Twelve trillion, eight hundred fifty-three billion, one hundred ninety-three million, five hundred sixteen thousand, eight hundred.

Scientific notation

• Scientific notation: 1.28531935168 × 10¹³

Factors of 12853193516800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 3050

Divisors of 12853193516800

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 41 50 52 56 64 65 70 80 82 91 100 104 112 128 130 140 160 164 175 182 193 200 205 208 224 256 260 280 287 320 325 328 350 364 386 400 410 416 448 455 520 533 560 574 640 650 656 700 728 772 800 820 832 896 910 965 1025 1040 1066 1120 1148 1280 1300 1312 1351 1400 1435 1456 1544 1600 1640 1664 1792 1820 1930 2050 2080 2132 2240 2275 2296 2509 2600 2624 2665 2702 2789 2800 2870 2912 3088 3200 3280 3328 3640 3731 3860 4100 4160 4264 4480 4550 4592 4825 5018 5200 5248 5330 5404 5578 5600 5740 5824 6176 6400 6560 6755 7175 7280 7462 7720 7913 8200 8320 8528 8960 9100 9184 9650 10036 10400 10496 10660 10808 11156 11200 11480 11648 12352 12545 13120 13325 13510 13945 14350 14560 14924 15440 15826 16400 16640 17056 17563 18200 18368 18655 19300 19523 20072 20800 21320 21616 22312 22400 22960 23296 24704 25090 26240 26650 27020 27890 28700 29120 29848 30880 31652 32800 33775 34112 35126 36257 36400 36736 37310 38600 39046 39565 40144 41600 42640 43232 44624 44800 45920 49408 50180 52480 53300 54040 55391 55780 57400 58240 59696 61760 62725 63304 65600 67550 68224 69725 70252 72514 72800 73472 74620 77200 78092 79130 80288 83200 85280 86464 87815 89248 91840 93275 97615 100360 102869 106600 108080 110782 111560 114349 114800 116480 119392 123520 125450 126608 131200 135100 136448 139450 140504 145028 145600 149240 154400 156184 158260 160576 170560 172928 175630 178496 181285 183680 186550 195230 197825 200720 205738 213200 216160 221564 223120 228698 229600 238784 247040 250900 253216 253799 262400 270200 276955 278900 281008 290056 291200 298480 308800 312368 316520 321152 341120 345856 351260 356992 362570 367360 373100 390460 395650 401440 411476 426400 432320 439075 443128 446240 457396 459200 477568 488075 501800 506432 507598 514345 538277 540400 553910 557800 562016 571745 580112 582400 596960 617600 624736 633040 642304 682240 702520 713984 720083 725140 746200 780920 791300 800443 802880 822952 852800 864640 878150 886256 892480 906425 914792 918400 955136 976150 1003600 1012864 1015196 1028690 1076554 1080800 1107820 1115600 1124032 1143490 1160224 1193920 1235200 1249472 1266080 1268995 1384775 1405040 1440166 1450280 1486537 1492400 1561840 1582600 1600886 1605760 1645904 1705600 1729280 1756300 1772512 1784960 1812850 1829584 1836800 1952300 2007200 2025728 2030392 2057380 2153108 2161600 2215640 2231200 2248064 2286980 2320448 2387840 2498944 2532160 2537990 2571725 2691385 2769550 2810080 2858725 2880332 2900560 2973074 2984800 3123680 3165200 3201772 3211520 3291808 3411200 3512600 3545024 3569920 3600415 3625700 3659168 3767939 3904600 4002215 4014400 4060784 4114760 4306216 4323200 4431280 4462400 4496128 4573960 4640896 4775680 4997888 5064320 5075980 5143450 5382770 5539100 5620160 5717450 5760664 5801120 5946148 5969600 6247360 6330400 6344975 6403544 6583616 6997601 7025200 7090048 7200830 7251400 7318336 7432685 7535878 7809200 8004430 8028800 8121568 8229520 8612432 8646400 8862560 8924800 9147920 9281792 10128640 10151960 10286900 10405759 10765540 11078200 11240320 11434900 11521328 11602240 11892296 11939200 12494720 12660800 12689950 12807088 13167232 13456925 13995202 14050400 14180096 14401660 14502800 14636672 14865370 15071756 15618400 16008860 16057600 16243136 16459040 17224864 17725120 17849600 18002075 18295840 18839695 20011075 20303920 20573800 20811518 21531080 22069357 22156400 22480640 22869800 23042656 23204480 23784592 23878400 24989440 25321600 25379900 25614176 26334464 26913850 27990404 28100800 28803320 29005600 29273344 29730740 30143512 31236800 32017720 32486272 32918080 34449728 34988005 35450240 36004150 36591680 37163425 37679390 40022150 40607840 41147600 41623036 43062160 44138714 44312800 45739600 46085312 46408960 47569184 48983207 50643200 50759800 51228352 52028795 53827700 55980808 56201600 57606640 58011200 59461480 60287024 62473600 64035440 64972544 65836160 68899456 69976010 70900480 72008300 73183360 74326850 75358780 80044300 81215680 82295200 83246072 86124320 88277428 88625600 91479200 92170624 94198475 95138368 97966414 101519600 102456704 104057590 107655400 110346785 111961616 112403200 115213280 116022400 118922960 120574048 124947200 128070880 131672320 137798912 139952020 144016600 146366720 148653700 150717560 154485499 160088600 162431360 164590400 166492144 172248640 174940025 176554856 177251200 182958400 184341248 188396950 190276736 195932828 203039200 204913408 208115180 215310800 220693570 223923232 230426560 232044800 237845920 241148096 244916035 256141760 260143975 279904040 286901641 288033200 297307400 301435120 308970998 320177200 324862720 329180800 332984288 344497280 349880050 353109712 354502400 365916800 376793900 380553472 391865656 406078400 416230360 430621600 441387140 447846464 460853120 475691840 482296192 489832070 512283520 520287950 551733925 559808080 573803282 576066400 594614800 602870240 617941996 640354400 658361600 665968576 688994560 699760100 706219424 731833600 753587800 772427495 783731312 812156800 832460720 861243200 882774280 895692928 921706240 951383680 964592384 979664140 1024567040 1040575900 1103467850 1119616160 1147606564 1152132800 1189229600 1205740480 1224580175 1235883992 1280708800 1331937152 1399520200 1412438848 1434508205 1507175600 1544854990 1567462624 1624313600 1664921440 1722486400 1765548560 1791385856 1902767360 1959328280 2008311487 2081151800 2206935700 2239232320 2295213128 2304265600 2378459200 2411480960 2449160350 2471767984 2561417600 2663874304 2799040400 2824877696 2869016410 3014351200 3089709980 3134925248 3329842880 3444972800 3531097120 3862137475 3918656560 4016622974 4162303600 4413871400 4478464640 4590426256 4608531200 4756918400 4822961920 4898320700 4943535968 5122835200 5598080800 5649755392 5738032820 6028702400 6179419960 6269850496 6659685760 7062194240 7172541025 7724274950 7837313120 8033245948 8324607200 8827742800 8956929280 9180852512 9513836800 9796641400 9887071936 10041557435 11196161600 11476065640 12057404800 12358839920 12539700992 13319371520 14124388480 14345082050 15448549900 15674626240 16066491896 16649214400 17655485600 18361705024 19593282800 19774143872 20083114870 22392323200 22952131280 24114809600 24717679840 28248776960 28690164100 30897099800 31349252480 32132983792 33298428800 35310971200 36723410048 39186565600 39548287744 40166229740 44784646400 45904262560 49435359680 50207787175 57380328200 61794199600 62698504960 64265967584 66596857600 70621942400 73446820096 78373131200 80332459480 91808525120 98870719360 100415574350 114760656400 123588399200 128531935168 141243884800 156746262400 160664918960 183617050240 197741438720 200831148700 229521312800 247176798400 257063870336 313492524800 321329837920 367234100480 401662297400 459042625600 494353596800 514127740672 642659675840 803324594800 918085251200 988707193600 1285319351680 1606649189600 1836170502400 2570638703360 3213298379200 6426596758400 12853193516800
• Sum of all divisors σ(n): 40332564800640
• Sum of proper divisors (its aliquot sum) s(n): 27479371283840
• 12853193516800 is an abundant number, because the sum of its proper divisors (27479371283840) is greater than itself. Its abundance is 14626177767040

Bases of 12853193516800

• Binary: 10111011000010011110000010001010011100000000₂
• Hexadecimal: 0xBB09E08A700
• Base-36: 4K0OBK64G

Squares and roots of 12853193516800

• 12853193516800 squared (12853193516800²) is 165204583580309551882240000
• 12853193516800 cubed (12853193516800³) is 2123406482620078464389920405061632000000
• The square root of 12853193516800 is 3585135.0765068811
• The cube root of 12853193516800 is 23424.5010354907

Scales and comparisons

• 12,853,193,516,800 seconds is equal to 408,691 years, 41 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
• To count from 1 to 12,853,193,516,800 would take you about one million, twenty-one thousand, seven hundred twenty-nine 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 12853193516800 cubic inches would be around 1952 feet tall.

Recreational maths with 12853193516800

• 12853193516800 backwards is 00861539135821
• 12853193516800 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12853193516800's digits is 52
• More coming soon!