13863456144000

Names of 13863456144000

• Cardinal: 13863456144000 can be written as Thirteen trillion, eight hundred sixty-three billion, four hundred fifty-six million, one hundred forty-four thousand.

Scientific notation

• Scientific notation: 1.3863456144 × 10¹³

Factors of 13863456144000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 184

Divisors of 13863456144000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 47 48 50 60 64 72 75 80 90 94 96 100 120 125 127 128 141 144 150 160 180 188 192 200 225 235 240 250 254 282 288 300 320 360 375 376 381 384 400 423 450 470 480 500 508 564 576 600 635 640 705 720 750 752 762 800 846 900 940 960 1000 1016 1125 1128 1143 1152 1175 1200 1270 1410 1440 1500 1504 1524 1600 1692 1800 1880 1905 1920 2000 2032 2115 2250 2256 2286 2350 2400 2540 2820 2880 3000 3008 3048 3175 3200 3384 3525 3600 3760 3810 4000 4064 4230 4500 4512 4572 4700 4800 5080 5640 5715 5760 5875 5969 6000 6016 6096 6350 6768 7050 7200 7520 7620 8000 8128 8460 9000 9024 9144 9400 9525 9600 10160 10575 11280 11430 11750 11938 12000 12192 12700 13536 14100 14400 15040 15240 15875 16000 16129 16256 16920 17625 17907 18000 18048 18288 18800 19050 20320 21150 22560 22860 23500 23876 24000 24384 25400 27072 28200 28575 28800 29845 30080 30480 31750 32258 33840 35250 35814 36000 36576 37600 38100 40640 42300 45120 45720 47000 47625 47752 48000 48387 48768 50800 52875 53721 54144 56400 57150 59690 60960 63500 64516 67680 70500 71628 72000 73152 75200 76200 80645 81280 84600 89535 90240 91440 94000 95250 95504 96774 101600 105750 107442 112800 114300 119380 121920 127000 129032 135360 141000 142875 143256 144000 145161 146304 149225 150400 152400 161290 169200 179070 182880 188000 190500 191008 193548 203200 211500 214884 225600 228600 238760 241935 243840 254000 258064 268605 270720 282000 285750 286512 290322 298450 304800 322580 338400 358140 365760 376000 381000 382016 387096 403225 406400 423000 429768 447675 451200 457200 477520 483870 508000 516128 537210 564000 571500 573024 580644 596900 609600 645160 676800 716280 725805 731520 746125 752000 758063 762000 764032 774192 806450 846000 859536 895350 914400 955040 967740 1016000 1032256 1074420 1128000 1143000 1146048 1161288 1193800 1209675 1219200 1290320 1343025 1353600 1432560 1451610 1492250 1516126 1524000 1548384 1612900 1692000 1719072 1790700 1828800 1910080 1935480 2016125 2032000 2048383 2064512 2148840 2238375 2256000 2274189 2286000 2292096 2322576 2387600 2419350 2580640 2686050 2865120 2903220 2984500 3032252 3048000 3096768 3225800 3384000 3438144 3581400 3629025 3657600 3790315 3820160 3870960 4032250 4096766 4297680 4476750 4548378 4572000 4645152 4775200 4838700 5161280 5372100 5730240 5806440 5969000 6048375 6064504 6096000 6145149 6193536 6451600 6715125 6768000 6822567 6876288 7162800 7258050 7580630 7741920 8064500 8193532 8595360 8953500 9096756 9144000 9290304 9550400 9677400 10241915 10322560 10744200 11370945 11460480 11612880 11938000 12096750 12129008 12290298 12903200 13430250 13645134 14325600 14516100 15161260 15483840 16129000 16387064 17190720 17907000 18145125 18193512 18288000 18435447 18580608 18951575 19100800 19354800 20483830 21488400 22741890 23225760 23876000 24193500 24258016 24580596 25806400 26860500 27290268 28651200 29032200 30322520 30725745 30967680 32258000 32774128 34112835 34381440 35814000 36290250 36387024 36870894 37903150 38709600 40967660 42976800 45483780 46451520 47752000 48387000 48516032 49161192 51209575 51612800 53721000 54580536 56854725 57302400 58064400 60645040 61451490 64516000 65548256 68225670 71628000 72580500 72774048 73741788 75806300 77419200 81935320 85953600 90967560 92177235 92903040 94757875 95504000 96274001 96774000 97032064 98322384 102419150 107442000 109161072 113709450 116128800 121290080 122902980 129032000 131096512 136451340 143256000 145161000 145548096 147483576 151612600 153628725 154838400 163870640 170564175 171907200 181935120 184354470 189515750 192548002 193548000 196644768 204838300 214884000 218322144 227418900 232257600 242580160 245805960 256047875 258064000 262193024 272902680 284273625 286512000 288822003 290322000 291096192 294967152 303225200 307257450 327741280 341128350 363870240 368708940 379031500 385096004 387096000 393289536 409676600 429768000 436644288 454837800 460886175 464515200 481370005 485160320 491611920 512095750 545805360 568547250 577644006 580644000 589934304 606450400 614514900 655482560 682256700 727740480 737417880 758063000 768143625 770192008 774192000 786579072 819353200 852820875 859536000 866466009 873288576 909675600 921772350 962740010 983223840 1024191500 1091610720 1137094500 1155288012 1161288000 1179868608 1212900800 1229029800 1310965120 1364513400 1444110015 1455480960 1474835760 1516126000 1536287250 1540384016 1638706400 1705641750 1732932018 1819351200 1843544700 1925480020 1966447680 2048383000 2183221440 2274189000 2304430875 2310576024 2322576000 2359737216 2406850025 2425801600 2458059600 2729026800 2888220030 2949671520 3032252000 3072574500 3080768032 3277412800 3411283500 3465864036 3638702400 3687089400 3850960040 3932895360 4096766000 4332330045 4366442880 4548378000 4608861750 4621152048 4813700050 4916119200 5458053600 5776440060 5899343040 6064504000 6145149000 6161536064 6554825600 6822567000 6931728072 7220550075 7277404800 7374178800 7701920080 8193532000 8664660090 9096756000 9217723500 9242304096 9627400100 9832238400 10916107200 11552880120 11798686080 12034250125 12129008000 12290298000 12323072128 13645134000 13863456144 14441100150 14748357600 15403840160 16387064000 17329320180 18193512000 18435447000 18484608192 19254800200 19664476800 21661650225 21832214400 23105760240 24068500250 24580596000 27290268000 27726912288 28882200300 29496715200 30807680320 32774128000 34658640360 36102750375 36387024000 36870894000 36969216384 38509600400 43323300450 46211520480 48137000500 49161192000 54580536000 55453824576 57764400600 58993430400 61615360640 69317280720 72205500750 73741788000 77019200800 86646600900 92423040960 96274001000 98322384000 108308251125 109161072000 110907649152 115528801200 138634561440 144411001500 147483576000 154038401600 173293201800 184846081920 192548002000 216616502250 231057602400 277269122880 288822003000 294967152000 308076803200 346586403600 385096004000 433233004500 462115204800 554538245760 577644006000 693172807200 770192008000 866466009000 924230409600 1155288012000 1386345614400 1540384016000 1732932018000 2310576024000 2772691228800 3465864036000 4621152048000 6931728072000 13863456144000
• Sum of all divisors σ(n): 51249980620800
• Sum of proper divisors (its aliquot sum) s(n): 37386524476800
• 13863456144000 is an abundant number, because the sum of its proper divisors (37386524476800) is greater than itself. Its abundance is 23523068332800

Bases of 13863456144000

• Binary: 11001001101111010110011000001111101010000000₂
• Hexadecimal: 0xC9BD660FA80
• Base-36: 4WWS7UE80

Squares and roots of 13863456144000

• 13863456144000 squared (13863456144000²) is 192195416256611348736000000
• 13863456144000 cubed (13863456144000³) is 2664492724351356083254225833984000000000
• The square root of 13863456144000 is 3723366.2382312057
• The cube root of 13863456144000 is 24022.8117275091

Scales and comparisons

• 13,863,456,144,000 seconds is equal to 440,815 years, 1 week, 1 day, 8 hours.
• To count from 1 to 13,863,456,144,000 would take you about one million, one hundred two thousand and thirty-seven 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 13863456144000 cubic inches would be around 2001.9 feet tall.

Recreational maths with 13863456144000

• 13863456144000 backwards is 00044165436831
• 13863456144000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13863456144000's digits is 45
• More coming soon!