13688921161728

Names of 13688921161728

• Cardinal: 13688921161728 can be written as Thirteen trillion, six hundred eighty-eight billion, nine hundred twenty-one million, one hundred sixty-one thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.3688921161728 × 10¹³

Factors of 13688921161728

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 762

Divisors of 13688921161728

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 757 768 864 972 1024 1152 1296 1458 1514 1536 1728 1944 2048 2271 2304 2592 2916 3028 3072 3456 3888 4096 4542 4608 5184 5832 6056 6144 6813 6912 7776 8192 9084 9216 10368 11664 12112 12288 13626 13824 15552 16384 18168 18432 20439 20736 23328 24224 24576 27252 27648 31104 32768 36336 36864 40878 41472 46656 48448 49152 54504 55296 61317 62208 72672 73728 81756 82944 93312 96896 98304 109008 110592 122634 124416 145344 147456 163512 165888 183951 186624 193792 218016 221184 245268 248832 290688 294912 327024 331776 367902 373248 387584 436032 442368 490536 497664 551853 573049 581376 654048 663552 735804 746496 775168 872064 884736 981072 995328 1103706 1146098 1162752 1308096 1327104 1471608 1492992 1550336 1719147 1744128 1962144 1990656 2207412 2292196 2325504 2616192 2654208 2943216 2985984 3100672 3438294 3488256 3924288 3981312 4414824 4584392 4651008 5157441 5232384 5886432 5971968 6201344 6876588 6976512 7848576 7962624 8829648 9168784 9302016 10314882 10464768 11772864 11943936 12402688 13753176 13953024 15472323 15697152 17659296 18337568 18604032 20629764 20929536 23545728 23887872 24805376 27506352 27906048 30944646 31394304 35318592 36675136 37208064 41259528 41859072 46416969 47091456 55012704 55812096 61889292 62788608 70637184 73350272 74416128 82519056 83718144 92833938 94182912 110025408 111624192 123778584 125577216 139250907 141274368 146700544 165038112 167436288 185667876 188365824 220050816 223248384 247557168 251154432 278501814 282548736 293401088 330076224 334872576 371335752 376731648 417752721 440101632 495114336 502308864 557003628 565097472 586802176 660152448 669745152 742671504 753463296 835505442 880203264 990228672 1004617728 1114007256 1130194944 1173604352 1320304896 1485343008 1506926592 1671010884 1760406528 1980457344 2009235456 2228014512 2260389888 2347208704 2640609792 2970686016 3013853184 3342021768 3520813056 3960914688 4456029024 4520779776 4694417408 5281219584 5941372032 6027706368 6684043536 7041626112 7921829376 8912058048 9041559552 9388834816 10562439168 11882744064 13368087072 14083252224 15843658752 17824116096 18083119104 18777669632 21124878336 23765488128 26736174144 28166504448 31687317504 35648232192 42249756672 47530976256 53472348288 56333008896 63374635008 71296464384 84499513344 95061952512 106944696576 126749270016 142592928768 168999026688 190123905024 213889393152 253498540032 285185857536 380247810048 427778786304 506997080064 570371715072 760495620096 855557572608 1140743430144 1520991240192 1711115145216 2281486860288 3422230290432 4562973720576 6844460580864 13688921161728
• Sum of all divisors σ(n): 41101654827285
• Sum of proper divisors (its aliquot sum) s(n): 27412733665557
• 13688921161728 is an abundant number, because the sum of its proper divisors (27412733665557) is greater than itself. Its abundance is 13723812503829

Bases of 13688921161728

• Binary: 11000111001100110011010010001000000000000000₂
• Hexadecimal: 0xC7333488000
• Base-36: 4UOLQ8000

Squares and roots of 13688921161728

• 13688921161728 squared (13688921161728²) is 187386562572004657131945984
• 13688921161728 cubed (13688921161728³) is 2565119881815382554756464339878624100352
• The square root of 13688921161728 is 3699854.2081719923
• The cube root of 13688921161728 is 23921.5733745065

Scales and comparisons

• 13,688,921,161,728 seconds is equal to 435,265 years, 18 weeks, 1 day, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 13,688,921,161,728 would take you about one million, eighty-eight thousand, one hundred sixty-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 13688921161728 cubic inches would be around 1993.5 feet tall.

Recreational maths with 13688921161728

• 13688921161728 backwards is 82716112988631
• The number of decimal digits it has is: 14
• The sum of 13688921161728's digits is 63
• More coming soon!