13563260144000

Names of 13563260144000

• Cardinal: 13563260144000 can be written as Thirteen trillion, five hundred sixty-three billion, two hundred sixty million, one hundred forty-four thousand.

Scientific notation

• Scientific notation: 1.3563260144 × 10¹³

Factors of 13563260144000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 188

Divisors of 13563260144000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 25 28 32 34 35 40 50 56 64 68 70 80 85 100 112 119 125 128 136 140 157 160 170 175 200 224 238 250 272 280 289 314 320 340 350 400 425 448 476 500 544 560 578 595 628 640 680 700 785 800 850 875 896 952 1000 1088 1099 1120 1156 1190 1256 1360 1400 1445 1570 1600 1700 1750 1904 2000 2023 2125 2176 2198 2240 2312 2380 2512 2669 2720 2800 2890 2975 3140 3200 3400 3500 3808 3925 4000 4046 4250 4396 4480 4624 4760 4913 5024 5338 5440 5495 5600 5780 5950 6280 6800 7000 7225 7616 7850 8000 8092 8500 8792 9248 9520 9826 10048 10115 10676 10880 10990 11200 11560 11900 12560 13345 13600 14000 14450 14875 15232 15700 16000 16184 17000 17584 18496 18683 19040 19625 19652 20096 20230 21352 21980 22400 23120 23800 24565 24649 25120 26690 27200 27475 28000 28900 29750 31400 32368 34000 34391 35168 36125 36992 37366 38080 39250 39304 40460 42704 43960 45373 46240 47600 49130 49298 50240 50575 53380 54400 54950 56000 57800 59500 62800 64736 66725 68000 68782 70336 72250 74732 76160 78500 78608 80920 85408 87920 90746 92480 93415 95200 98260 98596 100480 101150 106760 109900 112000 115600 119000 122825 123245 125600 129472 133450 136000 137375 137564 140672 144500 149464 157000 157216 161840 170816 171955 172543 175840 181492 184960 186830 190400 196520 197192 202300 213520 219800 226865 231200 238000 245650 246490 251200 252875 258944 266900 272000 274750 275128 289000 298928 314000 314432 317611 323680 333625 341632 343910 345086 351680 362984 373660 380800 393040 394384 404600 419033 427040 439600 453730 462400 467075 476000 491300 492980 502400 505750 533800 549500 550256 578000 597856 614125 616225 628000 628864 635222 647360 667250 687820 690172 703360 725968 747320 771341 786080 788768 809200 838066 854080 859775 862715 879200 907460 924800 934150 952000 982600 985960 1011500 1067600 1099000 1100512 1134325 1156000 1195712 1228250 1232450 1256000 1270444 1294720 1334500 1375640 1380344 1451936 1494640 1542682 1572160 1577536 1588055 1618400 1676132 1708160 1719550 1725430 1758400 1814920 1868300 1904000 1965200 1971920 2023000 2095165 2135200 2198000 2201024 2268650 2312000 2335375 2391424 2456500 2464900 2512000 2540888 2669000 2751280 2760688 2903872 2933231 2989280 3081125 3085364 3144320 3155072 3176110 3236800 3352264 3439100 3450860 3516800 3629840 3736600 3856705 3930400 3943840 4046000 4190330 4270400 4298875 4313575 4396000 4402048 4537300 4624000 4670750 4913000 4929800 5081776 5338000 5399387 5502560 5521376 5671625 5807744 5866462 5978560 6162250 6170728 6352220 6473600 6704528 6878200 6901720 7123561 7259680 7473200 7713410 7860800 7887680 7940275 8092000 8380660 8540800 8597750 8627150 8792000 9074600 9341500 9826000 9859600 10163552 10475825 10676000 10798774 11005120 11042752 11343250 11732924 11957120 12324500 12341456 12704440 13409056 13756400 13803440 14247122 14519360 14666155 14946400 15426820 15721600 15775360 15880550 16184000 16761320 17195500 17254300 17584000 18149200 18683000 19283525 19652000 19719200 20327104 20951650 21352000 21567875 21597548 22010240 22085504 22686500 23465848 24649000 24682912 25408880 26818112 26996935 27512800 27606880 28494244 29038720 29332310 29892800 30853640 31761100 32368000 33522640 34391000 34508600 35617805 36298400 37366000 38567050 39304000 39438400 39701375 40654208 41903300 42704000 43135750 43195096 45373000 46931696 49298000 49365824 49864927 50817760 52379125 53636224 53993870 55025600 55213760 56988488 58664620 59785600 61707280 63522200 67045280 68782000 69017200 71235610 72596800 73330775 74732000 77134100 78608000 78876800 79402750 83806600 86271500 86390192 90746000 93863392 96417625 98596000 98731648 99729854 101635520 104758250 107987740 110051200 110427520 113976976 117329240 121100537 123414560 127044400 134090560 134984675 137564000 138034400 142471220 145193600 146661550 149464000 154268200 158805500 167613200 172543000 172780384 178089025 181492000 187726784 192835250 197192000 199459708 203271040 209516500 215975480 227953952 234658480 242201074 246829120 249324635 254088800 268181120 269969350 275128000 276068800 284942440 293323100 298928000 308536400 317611000 335226400 345086000 345560768 356178050 362984000 366653875 375453568 385670500 394384000 398919416 419033000 431950960 455907904 469316960 484402148 493658240 498649270 508177600 539938700 550256000 552137600 569884880 586646200 605502685 617072800 635222000 670452800 674923375 690172000 691121536 712356100 725968000 733307750 771341000 797838832 838066000 847703759 863901920 890445125 911815808 938633920 968804296 997298540 1016355200 1079877400 1139769760 1173292400 1211005370 1234145600 1246623175 1270444000 1340905600 1349846750 1380344000 1424712200 1466615500 1542682000 1595677664 1676132000 1695407518 1727803840 1780890250 1877267840 1937608592 1994597080 2159754800 2279539520 2346584800 2422010740 2468291200 2493246350 2540888000 2699693500 2760688000 2849424400 2933231000 3027513425 3085364000 3191355328 3352264000 3390815036 3455607680 3561780500 3875217184 3989194160 4238518795 4319509600 4559079040 4693169600 4844021480 4986492700 5081776000 5399387000 5698848800 5866462000 6055026850 6170728000 6233115875 6382710656 6704528000 6781630072 7123561000 7750434368 7978388320 8477037590 8639019200 9386339200 9688042960 9972985400 10798774000 11397697600 11732924000 12110053700 12341456000 12466231750 13563260144 14247122000 15137567125 15500868736 15956776640 16954075180 17278038400 19376085920 19945970800 21192593975 21597548000 22795395200 23465848000 24220107400 24932463500 27126520288 28494244000 30275134250 31913553280 33908150360 38752171840 39891941600 42385187950 43195096000 46931696000 48440214800 49864927000 54253040576 56988488000 60550268500 67816300720 77504343680 79783883200 84770375900 86390192000 96880429600 99729854000 105962969875 108506081152 113976976000 121100537000 135632601440 159567766400 169540751800 193760859200 199459708000 211925939750 242201074000 271265202880 339081503600 387521718400 398919416000 423851879500 484402148000 542530405760 678163007200 797838832000 847703759000 968804296000 1356326014400 1695407518000 1937608592000 2712652028800 3390815036000 6781630072000 13563260144000
• Sum of all divisors σ(n): 41209705929600
• Sum of proper divisors (its aliquot sum) s(n): 27646445785600
• 13563260144000 is an abundant number, because the sum of its proper divisors (27646445785600) is greater than itself. Its abundance is 14083185641600

Bases of 13563260144000

• Binary: 11000101010111110001010011011000100110000000₂
• Hexadecimal: 0xC55F14D8980
• Base-36: 4T2VIWA68

Squares and roots of 13563260144000

• 13563260144000 squared (13563260144000²) is 183962025733818900736000000
• 13563260144000 cubed (13563260144000³) is 2495124811645008249266481065984000000000
• The square root of 13563260144000 is 3682833.1680921959
• The cube root of 13563260144000 is 23848.1501400779

Scales and comparisons

• 13,563,260,144,000 seconds is equal to 431,269 years, 37 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
• To count from 1 to 13,563,260,144,000 would take you about one million, seventy-eight thousand, one hundred seventy-four 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 13563260144000 cubic inches would be around 1987.3 feet tall.

Recreational maths with 13563260144000

• 13563260144000 backwards is 00044106236531
• 13563260144000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13563260144000's digits is 35
• More coming soon!