13198175372017664

Names of 13198175372017664

• Cardinal: 13198175372017664 can be written as Thirteen quadrillion, one hundred ninety-eight trillion, one hundred seventy-five billion, three hundred seventy-two million, seventeen thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 1.3198175372017664 × 10¹⁶

Factors of 13198175372017664

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 447

Divisors of 13198175372017664

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 409 448 464 512 812 818 841 896 928 1024 1624 1636 1682 1792 1856 2048 2863 3248 3272 3364 3584 3712 4096 5726 5887 6496 6544 6728 7168 7424 8192 11452 11774 11861 12992 13088 13456 14336 14848 16384 22904 23548 23722 25984 26176 26912 28672 29696 32768 45808 47096 47444 51968 52352 53824 57344 59392 83027 91616 94192 94888 103936 104704 107648 114688 118784 166054 167281 183232 188384 189776 207872 209408 215296 229376 237568 332108 334562 343969 366464 376768 379552 415744 418816 430592 475136 664216 669124 687938 732928 753536 759104 831488 837632 861184 950272 1170967 1328432 1338248 1375876 1465856 1507072 1518208 1662976 1675264 1722368 2341934 2407783 2656864 2676496 2751752 2931712 3014144 3036416 3325952 3350528 3444736 4683868 4815566 4851149 5313728 5352992 5503504 5863424 6028288 6072832 6651904 6701056 6889472 9367736 9631132 9702298 10627456 10705984 11007008 11726848 12056576 12145664 13402112 13778944 18735472 19262264 19404596 21254912 21411968 22014016 23453696 24113152 24291328 27557888 33958043 37470944 38524528 38809192 42509824 42823936 44028032 46907392 48226304 48582656 67916086 68417929 74941888 77049056 77618384 85019648 85647872 88056064 93814784 96452608 97165312 135832172 136835858 140683321 149883776 154098112 155236768 170039296 171295744 176112128 192905216 194330624 271664344 273671716 281366642 299767552 308196224 310473536 340078592 342591488 352224256 388661248 478925503 543328688 547343432 562733284 599535104 616392448 620947072 680157184 685182976 704448512 957851006 984783247 1086657376 1094686864 1125466568 1199070208 1232784896 1241894144 1360314368 1370365952 1408897024 1915702012 1969566494 1984119941 2173314752 2189373728 2250933136 2398140416 2465569792 2483788288 2720628736 2740731904 2817794048 3831404024 3939132988 3968239882 4346629504 4378747456 4501866272 4796280832 4931139584 4967576576 5481463808 5635588096 7662808048 7878265976 7936479764 8693259008 8757494912 9003732544 9592561664 9862279168 9935153152 11271176192 13888839587 15325616096 15756531952 15872959528 17386518016 17514989824 18007465088 19185123328 19724558336 19870306304 27777679174 30651232192 31513063904 31745919056 34773036032 35029979648 36014930176 38370246656 39449116672 39740612608 55555358348 57539478289 61302464384 63026127808 63491838112 69546072064 70059959296 72029860352 78898233344 79481225216 111110716696 115078956578 122604928768 126052255616 126983676224 139092144128 140119918592 144059720704 158962450432 222221433392 230157913156 245209857536 252104511232 253967352448 278184288256 280239837184 288119441408 402776348023 444442866784 460315826312 490419715072 504209022464 507934704896 556368576512 560479674368 576238882816 805552696046 888885733568 920631652624 980839430144 1008418044928 1015869409792 1112737153024 1120959348736 1152477765632 1611105392092 1777771467136 1841263305248 1961678860288 2016836089856 2031738819584 2241918697472 2304955531264 3222210784184 3555542934272 3682526610496 3923357720576 4033672179712 4063477639168 4609911062528 6444421568368 7111085868544 7365053220992 7846715441152 8067344359424 8126955278336 12888843136736 14222171737088 14730106441984 15693430882304 16134688718848 16253910556672 25777686273472 28444343474176 29460212883968 32269377437696 32507821113344 51555372546944 56888686948352 58920425767936 65015642226688 103110745093888 113777373896704 117840851535872 206221490187776 227554747793408 235681703071744 412442980375552 455109495586816 471363406143488 824885960751104 942726812286976 1649771921502208 1885453624573952 3299543843004416 6599087686008832 13198175372017664
• Sum of all divisors σ(n): 31319477971485600
• Sum of proper divisors (its aliquot sum) s(n): 18121302599467936
• 13198175372017664 is an abundant number, because the sum of its proper divisors (18121302599467936) is greater than itself. Its abundance is 4923127227450272

Bases of 13198175372017664

• Binary: 101110111000111010101110101010101110111000000000000000₂
• Hexadecimal: 0x2EE3ABAABB8000
• Base-36: 3LYD229PJI8

Squares and roots of 13198175372017664

• 13198175372017664 squared (13198175372017664²) is 174191833150533603523542328016896
• 13198175372017664 cubed (13198175372017664³) is 2299014362293982699223599801404782238767402450944
• The square root of 13198175372017664 is 114883311.9822790625
• The cube root of 13198175372017664 is 236322.2601957873

Scales and comparisons

• 13,198,175,372,017,664 seconds is equal to 419,661,152 years, 10 weeks, 8 hours, 27 minutes, 44 seconds.
• To count from 1 to 13,198,175,372,017,664 would take you about one billion, two hundred fifty-eight million, nine hundred eighty-three thousand, four hundred fifty-six 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 13198175372017664 cubic inches would be around 19693.5 feet tall.

Recreational maths with 13198175372017664

• 13198175372017664 backwards is 46671027357189131
• The number of decimal digits it has is: 17
• The sum of 13198175372017664's digits is 71
• More coming soon!