13148863701708800

Names of 13148863701708800

• Cardinal: 13148863701708800 can be written as Thirteen quadrillion, one hundred forty-eight trillion, eight hundred sixty-three billion, seven hundred one million, seven hundred eight thousand, eight hundred.

Scientific notation

• Scientific notation: 1.31488637017088 × 10¹⁶

Factors of 13148863701708800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 9877451719

Divisors of 13148863701708800

• Number of divisors d(n): 156
• Complete list of divisors:
  1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 512 520 640 650 800 832 1024 1040 1280 1300 1600 1664 2048 2080 2560 2600 3200 3328 4096 4160 5120 5200 6400 6656 8320 10240 10400 12800 13312 16640 20480 20800 25600 26624 33280 41600 51200 53248 66560 83200 102400 133120 166400 266240 332800 665600 1331200 9877451699 19754903398 39509806796 49387258495 79019613592 98774516990 128406872087 158039227184 197549033980 246936292475 256813744174 316078454368 395098067960 493872584950 513627488348 632156908736 642034360435 790196135920 987745169900 1027254976696 1264313817472 1284068720870 1580392271840 1975490339800 2054509953392 2528627634944 2568137441740 3160784543680 3210171802175 3950980679600 4109019906784 5057255269888 5136274883480 6321569087360 6420343604350 7901961359200 8218039813568 10114510539776 10272549766960 12643138174720 12840687208700 15803922718400 16436079627136 20229021079552 20545099533920 25286276349440 25681374417400 31607845436800 32872159254272 40458042159104 41090199067840 50572552698880 51362748834800 63215690873600 65744318508544 82180398135680 101145105397760 102725497669600 126431381747200 131488637017088 164360796271360 202290210795520 205450995339200 252862763494400 262977274034176 328721592542720 410901990678400 505725526988800 525954548068352 657443185085440 821803981356800 1011451053977600 1314886370170880 1643607962713600 2629772740341760 3287215925427200 6574431850854400 13148863701708800
• Sum of all divisors σ(n): 35113293783619800
• Sum of proper divisors (its aliquot sum) s(n): 21964430081911000
• 13148863701708800 is an abundant number, because the sum of its proper divisors (21964430081911000) is greater than itself. Its abundance is 8815566380202200

Bases of 13148863701708800

• Binary: 101110101101101101001001100110001000111111000000000000₂
• Hexadecimal: 0x2EB6D26623F000
• Base-36: 3LGVSLEEARK

Squares and roots of 13148863701708800

• 13148863701708800 squared (13148863701708800²) is 172892616646115246584039997440000
• 13148863701708800 cubed (13148863701708800³) is 2273341451311559415150314255049716475625472000000
• The square root of 13148863701708800 is 114668494.8087695097
• The cube root of 13148863701708800 is 236027.5732751945

Scales and comparisons

• 13,148,863,701,708,800 seconds is equal to 418,093,193 years, 31 weeks, 4 days, 11 hours, 33 minutes, 20 seconds.
• To count from 1 to 13,148,863,701,708,800 would take you about one billion, two hundred fifty-four million, two hundred seventy-nine thousand, five hundred eighty 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 13148863701708800 cubic inches would be around 19669 feet tall.

Recreational maths with 13148863701708800

• 13148863701708800 backwards is 00880710736884131
• 13148863701708800 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13148863701708800's digits is 65
• More coming soon!