13584109142016

Names of 13584109142016

• Cardinal: 13584109142016 can be written as Thirteen trillion, five hundred eighty-four billion, one hundred nine million, one hundred forty-two thousand and sixteen.

Scientific notation

• Scientific notation: 1.3584109142016 × 10¹³

Factors of 13584109142016

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 34
• Sum of prime factors: 29

Divisors of 13584109142016

• Number of divisors d(n): 972
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 42 48 49 51 54 56 63 64 68 72 81 84 96 98 102 108 112 119 126 128 136 144 147 153 162 168 189 192 196 204 216 224 238 243 252 256 272 288 294 306 324 336 357 378 384 392 408 432 441 448 459 476 486 504 512 544 567 576 588 612 648 672 714 756 768 784 816 833 864 882 896 918 952 972 1008 1024 1071 1088 1134 1152 1176 1224 1296 1323 1344 1377 1428 1512 1536 1568 1632 1666 1701 1728 1764 1792 1836 1904 1944 2016 2048 2142 2176 2268 2304 2352 2448 2499 2592 2646 2688 2754 2856 3024 3072 3136 3213 3264 3332 3402 3456 3528 3584 3672 3808 3888 3969 4032 4096 4131 4284 4352 4536 4608 4704 4896 4998 5184 5292 5376 5508 5712 6048 6144 6272 6426 6528 6664 6804 6912 7056 7168 7344 7497 7616 7776 7938 8064 8192 8262 8568 8704 9072 9216 9408 9639 9792 9996 10368 10584 10752 11016 11424 11907 12096 12288 12544 12852 13056 13328 13608 13824 14112 14336 14688 14994 15232 15552 15876 16128 16384 16524 17136 17408 18144 18432 18816 19278 19584 19992 20736 21168 21504 22032 22491 22848 23814 24192 24576 25088 25704 26112 26656 27216 27648 28224 28672 28917 29376 29988 30464 31104 31752 32256 32768 33048 34272 34816 36288 36864 37632 38556 39168 39984 41472 42336 43008 44064 44982 45696 47628 48384 49152 50176 51408 52224 53312 54432 55296 56448 57344 57834 58752 59976 60928 62208 63504 64512 65536 66096 67473 68544 69632 72576 73728 75264 77112 78336 79968 82944 84672 86016 88128 89964 91392 95256 96768 98304 100352 102816 104448 106624 108864 110592 112896 114688 115668 117504 119952 121856 124416 127008 129024 131072 132192 134946 137088 139264 145152 147456 150528 154224 156672 159936 165888 169344 172032 176256 179928 182784 190512 193536 196608 200704 202419 205632 208896 213248 217728 221184 225792 229376 231336 235008 239904 243712 248832 254016 258048 262144 264384 269892 274176 278528 290304 294912 301056 308448 313344 319872 331776 338688 344064 352512 359856 365568 381024 387072 393216 401408 404838 411264 417792 426496 435456 442368 451584 458752 462672 470016 479808 487424 497664 508032 516096 524288 528768 539784 548352 557056 580608 589824 602112 616896 626688 639744 663552 677376 688128 705024 719712 731136 762048 774144 786432 802816 809676 822528 835584 852992 870912 884736 903168 917504 925344 940032 959616 974848 995328 1016064 1032192 1048576 1057536 1079568 1096704 1114112 1161216 1179648 1204224 1233792 1253376 1279488 1327104 1354752 1376256 1410048 1439424 1462272 1524096 1548288 1572864 1605632 1619352 1645056 1671168 1705984 1741824 1769472 1806336 1835008 1850688 1880064 1919232 1949696 1990656 2032128 2064384 2097152 2115072 2159136 2193408 2228224 2322432 2359296 2408448 2467584 2506752 2558976 2654208 2709504 2752512 2820096 2878848 2924544 3048192 3096576 3145728 3211264 3238704 3290112 3342336 3411968 3483648 3538944 3612672 3670016 3701376 3760128 3838464 3899392 3981312 4064256 4128768 4194304 4230144 4318272 4386816 4456448 4644864 4718592 4816896 4935168 5013504 5117952 5308416 5419008 5505024 5640192 5757696 5849088 6096384 6193152 6291456 6422528 6477408 6580224 6684672 6823936 6967296 7077888 7225344 7340032 7402752 7520256 7676928 7798784 7962624 8128512 8257536 8388608 8460288 8636544 8773632 8912896 9289728 9437184 9633792 9870336 10027008 10235904 10616832 10838016 11010048 11280384 11515392 11698176 12192768 12386304 12582912 12845056 12954816 13160448 13369344 13647872 13934592 14155776 14450688 14680064 14805504 15040512 15353856 15597568 15925248 16257024 16515072 16777216 16920576 17273088 17547264 17825792 18579456 18874368 19267584 19740672 20054016 20471808 21233664 21676032 22020096 22560768 23030784 23396352 24385536 24772608 25165824 25690112 25909632 26320896 26738688 27295744 27869184 28311552 28901376 29360128 29611008 30081024 30707712 31195136 31850496 32514048 33030144 33554432 33841152 34546176 35094528 35651584 37158912 37748736 38535168 39481344 40108032 40943616 42467328 43352064 44040192 45121536 46061568 46792704 48771072 49545216 50331648 51380224 51819264 52641792 53477376 54591488 55738368 56623104 57802752 58720256 59222016 60162048 61415424 62390272 63700992 65028096 66060288 67108864 67682304 69092352 70189056 71303168 74317824 75497472 77070336 78962688 80216064 81887232 84934656 86704128 88080384 90243072 92123136 93585408 97542144 99090432 100663296 102760448 103638528 105283584 106954752 109182976 111476736 113246208 115605504 117440512 118444032 120324096 122830848 124780544 127401984 130056192 132120576 135364608 138184704 140378112 142606336 148635648 150994944 154140672 157925376 160432128 163774464 169869312 173408256 176160768 180486144 184246272 187170816 195084288 198180864 201326592 205520896 207277056 210567168 213909504 218365952 222953472 226492416 231211008 234881024 236888064 240648192 245661696 249561088 254803968 260112384 264241152 270729216 276369408 280756224 285212672 297271296 301989888 308281344 315850752 320864256 327548928 339738624 346816512 352321536 360972288 368492544 374341632 390168576 396361728 411041792 414554112 421134336 427819008 436731904 445906944 452984832 462422016 469762048 473776128 481296384 491323392 499122176 509607936 520224768 528482304 541458432 552738816 561512448 570425344 594542592 603979776 616562688 631701504 641728512 655097856 679477248 693633024 704643072 721944576 736985088 748683264 780337152 792723456 822083584 829108224 842268672 855638016 873463808 891813888 905969664 924844032 947552256 962592768 982646784 998244352 1019215872 1040449536 1056964608 1082916864 1105477632 1123024896 1140850688 1189085184 1233125376 1263403008 1283457024 1310195712 1358954496 1387266048 1409286144 1443889152 1473970176 1497366528 1560674304 1585446912 1644167168 1658216448 1684537344 1711276032 1746927616 1783627776 1811939328 1849688064 1895104512 1925185536 1965293568 1996488704 2038431744 2080899072 2113929216 2165833728 2210955264 2246049792 2378170368 2466250752 2526806016 2566914048 2620391424 2717908992 2774532096 2887778304 2947940352 2994733056 3121348608 3170893824 3288334336 3316432896 3369074688 3422552064 3493855232 3567255552 3699376128 3790209024 3850371072 3930587136 3992977408 4076863488 4161798144 4227858432 4331667456 4421910528 4492099584 4756340736 4932501504 5053612032 5133828096 5240782848 5435817984 5549064192 5775556608 5895880704 5989466112 6242697216 6341787648 6632865792 6738149376 6987710464 7134511104 7398752256 7580418048 7700742144 7861174272 7985954816 8153726976 8323596288 8663334912 8843821056 8984199168 9512681472 9865003008 10107224064 10267656192 10481565696 11098128384 11551113216 11791761408 11978932224 12485394432 12683575296 13265731584 13476298752 13975420928 14269022208 14797504512 15160836096 15401484288 15722348544 16307453952 16647192576 17326669824 17687642112 17968398336 19025362944 20214448128 20963131392 22196256768 23102226432 23583522816 23957864448 24970788864 26531463168 26952597504 27950841856 28538044416 29595009024 30321672192 30802968576 31444697088 33294385152 34653339648 35375284224 35936796672 38050725888 40428896256 41926262784 44392513536 46204452864 47167045632 49941577728 53062926336 53905195008 55901683712 57076088832 60643344384 62889394176 66588770304 69306679296 70750568448 71873593344 80857792512 83852525568 88785027072 92408905728 94334091264 99883155456 106125852672 107810390016 114152177664 121286688768 125778788352 133177540608 138613358592 141501136896 161715585024 167705051136 188668182528 199766310912 212251705344 215620780032 242573377536 251557576704 266355081216 277226717184 283002273792 323431170048 377336365056 399532621824 424503410688 485146755072 503115153408 566004547584 646862340096 754672730112 799065243648 849006821376 970293510144 1132009095168 1509345460224 1698013642752 1940587020288 2264018190336 3396027285504 4528036380672 6792054571008 13584109142016
• Sum of all divisors σ(n): 50125489196328
• Sum of proper divisors (its aliquot sum) s(n): 36541380054312
• 13584109142016 is an abundant number, because the sum of its proper divisors (36541380054312) is greater than itself. Its abundance is 22957270912296

Bases of 13584109142016

• Binary: 11000101101011001100000000000000000000000000₂
• Hexadecimal: 0xC5ACC000000
• Base-36: 4TCGBUO00

Squares and roots of 13584109142016

• 13584109142016 squared (13584109142016²) is 184528021182202667656544256
• 13584109142016 cubed (13584109142016³) is 2506648779499281353748965786739693060096
• The square root of 13584109142016 is 3685662.6462572507
• The cube root of 13584109142016 is 23860.3634153045

Scales and comparisons

• 13,584,109,142,016 seconds is equal to 431,932 years, 33 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 13,584,109,142,016 would take you about one million, seventy-nine thousand, eight 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 13584109142016 cubic inches would be around 1988.4 feet tall.

Recreational maths with 13584109142016

• 13584109142016 backwards is 61024190148531
• The number of decimal digits it has is: 14
• The sum of 13584109142016's digits is 45
• More coming soon!