13563374171788224

Names of 13563374171788224

• Cardinal: 13563374171788224 can be written as Thirteen quadrillion, five hundred sixty-three trillion, three hundred seventy-four billion, one hundred seventy-one million, seven hundred eighty-eight thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.3563374171788224 × 10¹⁶

Factors of 13563374171788224

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1101641

Divisors of 13563374171788224

• Number of divisors d(n): 448
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 144 168 179 189 192 216 224 252 288 336 358 378 432 448 504 537 576 672 716 756 864 1008 1074 1253 1344 1432 1512 1611 1728 2016 2148 2506 2864 3024 3222 3759 4032 4296 4833 5012 5717 5728 6048 6444 7518 8592 9666 10024 11277 11434 11456 12096 12888 15036 17151 17184 19332 20048 22554 22868 25776 30072 33831 34302 34368 38664 40019 40096 45108 45736 51453 51552 60144 67662 68604 77328 80038 80192 90216 91472 102906 103104 120057 120288 135324 137208 154359 154656 160076 180432 182944 205812 240114 240576 270648 274416 308718 309312 320152 360171 360864 365888 411624 480228 541296 548832 617436 640304 720342 721728 823248 960456 1023343 1080513 1082592 1095733 1097664 1234872 1280608 1440684 1646496 1920912 2046686 2161026 2165184 2191466 2469744 2561216 2881368 3070029 3287199 3292992 3841824 4093372 4322052 4382932 4939488 5762736 6140058 6574398 7163401 7670131 7683648 8186744 8644104 8765864 9210087 9861597 9878976 11525472 12280116 13148796 14326802 15340262 16373488 17288208 17531728 18420174 19723194 21490203 23010393 23050944 24560232 26297592 27630261 28653604 29584791 30680524 32746976 34576416 35063456 36840348 39446388 42980406 46020786 49120464 52595184 55260522 57307208 59169582 61361048 64470609 65493952 69031179 69152832 70126912 73680696 78892776 85960812 92041572 98240928 105190368 110521044 114614416 118339164 122722096 128941218 138062358 147361392 157785552 171921624 184083144 193411827 196136207 196481856 207093537 210380736 221042088 229228832 236678328 245444192 257882436 276124716 294722784 315571104 343843248 368166288 386823654 392272414 414187074 442084176 458457664 473356656 490888384 515764872 552249432 588408621 589445568 631142208 687686496 736332576 773647308 784544828 828374148 884168352 946713312 1031529744 1104498864 1176817242 1372953449 1375372992 1472665152 1547294616 1569089656 1656748296 1765225863 1768336704 1893426624 2063059488 2208997728 2353634484 2745906898 3094589232 3138179312 3313496592 3530451726 4118860347 4126118976 4417995456 4707268968 5295677589 5491813796 6189178464 6264305561 6276358624 6626993184 7060903452 8237720694 9414537936 10591355178 10983627592 12356581041 12378356928 12528611122 12552717248 13253986368 14121806904 16475441388 18792916683 18829075872 21182710356 21967255184 24713162082 25057222244 28243613808 32950882776 37069743123 37585833366 37658151744 42365420712 43850138927 43934510368 49426324164 50114444488 56378750049 56487227616 65901765552 74139486246 75171666732 84730841424 87700277854 87869020736 98852648328 100228888976 112757500098 112974455232 131550416781 131803531104 148278972492 150343333464 169136250147 169461682848 175400555708 197705296656 200457777952 225515000196 263100833562 263607062208 296557944984 300686666928 338272500294 338923365696 350801111416 394651250343 395410593312 400915555904 451030000392 526201667124 593115889968 601373333856 676545000588 701602222832 789302500686 790821186624 902060000784 1052403334248 1121310695419 1183953751029 1186231779936 1202746667712 1353090001176 1403204445664 1578605001372 1804120001568 2104806668496 2242621390838 2367907502058 2372463559872 2706180002352 2806408891328 3157210002744 3363932086257 3608240003136 4209613336992 4485242781676 4735815004116 5412360004704 6314420005488 6727864172514 7849174867933 8419226673984 8970485563352 9471630008232 10091796258771 10824720009408 12628840010976 13455728345028 15698349735866 17940971126704 18943260016464 20183592517542 23547524603799 25257680021952 26911456690056 30275388776313 31396699471732 35881942253408 37886520032928 40367185035084 47095049207598 53822913380112 60550777552626 62793398943464 70642573811397 71763884506816 75773040065856 80734370070168 94190098415196 107645826760224 121101555105252 125586797886928 141285147622794 161468740140336 188380196830392 211927721434191 215291653520448 242203110210504 251173595773856 282570295245588 322937480280672 376760393660784 423855442868382 484406220421008 502347191547712 565140590491176 645874960561344 753520787321568 847710885736764 968812440842016 1130281180982352 1507041574643136 1695421771473528 1937624881684032 2260562361964704 3390843542947056 4521124723929408 6781687085894112 13563374171788224
• Sum of all divisors σ(n): 45832705374182400
• Sum of proper divisors (its aliquot sum) s(n): 32269331202394176
• 13563374171788224 is an abundant number, because the sum of its proper divisors (32269331202394176) is greater than itself. Its abundance is 18705957030605952

Bases of 13563374171788224

• Binary: 110000001011111101000100100011011101110001001111000000₂
• Hexadecimal: 0x302FD1237713C0
• Base-36: 3PJTC2PXTC0

Squares and roots of 13563374171788224

• 13563374171788224 squared (13563374171788224²) is 183965118923931891326745905074176
• 13563374171788224 cubed (13563374171788224³) is 2495187742522806850483061621472229561789283303424
• The square root of 13563374171788224 is 116461900.0866301511
• The cube root of 13563374171788224 is 238482.1697121259

Scales and comparisons

• 13,563,374,171,788,224 seconds is equal to 431,273,344 years, 20 weeks, 2 days, 15 hours, 50 minutes, 24 seconds.
• To count from 1 to 13,563,374,171,788,224 would take you about one billion, two hundred ninety-three million, eight hundred twenty thousand and thirty-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 13563374171788224 cubic inches would be around 19873.5 feet tall.

Recreational maths with 13563374171788224

• 13563374171788224 backwards is 42288717147336531
• 13563374171788224 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13563374171788224's digits is 72
• More coming soon!