131686635036768

Names of 131686635036768

• Cardinal: 131686635036768 can be written as One hundred thirty-one trillion, six hundred eighty-six billion, six hundred thirty-five million, thirty-six thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.31686635036768 × 10¹⁴

Factors of 131686635036768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 86

Divisors of 131686635036768

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 43 48 56 62 84 86 93 96 112 124 129 168 172 186 217 224 248 258 301 336 344 372 434 496 516 602 651 672 688 744 868 903 992 1032 1204 1302 1333 1376 1488 1736 1806 1849 2064 2408 2604 2666 2976 3472 3612 3698 3999 4128 4816 5208 5332 5547 6944 7224 7396 7998 9331 9632 10416 10664 11094 12943 14448 14792 15996 18662 20832 21328 22188 25886 27993 28896 29584 31992 37324 38829 42656 44376 51772 55986 57319 59168 63984 74648 77658 79507 88752 103544 111972 114638 127968 149296 155316 159014 171957 177504 207088 223944 229276 238521 298592 310632 318028 343914 401233 414176 447888 458552 477042 556549 621264 636056 687828 802466 895776 917104 954084 1113098 1203699 1242528 1272112 1375656 1604932 1669647 1834208 1908168 2226196 2407398 2464717 2544224 2751312 3209864 3339294 3418801 3816336 4452392 4814796 4929434 5502624 6419728 6678588 6837602 7394151 7632672 8904784 9629592 9858868 10256403 12839456 13357176 13675204 14788302 17253019 17809568 19259184 19717736 20512806 23931607 26714352 27350408 29576604 34506038 38518368 39435472 41025612 47863214 51759057 53428704 54700816 59153208 69012076 71794821 78870944 82051224 95726428 103518114 105982831 109401632 118306416 138024152 143589642 147008443 164102448 191452856 207036228 211965662 236612832 276048304 287179284 294016886 317948493 328204896 382905712 414072456 423931324 441025329 552096608 574358568 588033772 635896986 741879817 765811424 828144912 847862648 882050658 1029059101 1148717136 1176067544 1271793972 1483759634 1656289824 1695725296 1764101316 2058118202 2225639451 2297434272 2352135088 2543587944 2967519268 3087177303 3391450592 3528202632 4116236404 4451278902 4557261733 4704270176 5087175888 5935038536 6174354606 6321363049 7056405264 8232472808 8902557804 9114523466 10174351776 11870077072 12348709212 12642726098 13671785199 14112810528 16464945616 17805115608 18229046932 18964089147 23740154144 24697418424 25285452196 27343570398 31900832131 32929891232 35610231216 36458093864 37928178294 44249541343 49394836848 50570904392 54687140796 63801664262 71220462432 72916187728 75856356588 88499082686 95702496393 98789673696 101141808784 109374281592 127603328524 132748624029 145832375456 151712713176 176998165372 191404992786 195962254519 202283617568 218748563184 255206657048 265497248058 303425426352 353996330744 382809985572 391924509038 437497126368 510413314096 530994496116 587886763557 606850852704 707992661488 765619971144 783849018076 1020826628192 1061988992232 1175773527114 1371735781633 1415985322976 1531239942288 1567698036152 2123977984464 2351547054228 2743471563266 3062479884576 3135396072304 4115207344899 4247955968928 4703094108456 5486943126532 6270792144608 8230414689798 9406188216912 10973886253064 16460829379596 18812376433824 21947772506128 32921658759192 43895545012256 65843317518384 131686635036768
• Sum of all divisors σ(n): 417513386658816
• Sum of proper divisors (its aliquot sum) s(n): 285826751622048
• 131686635036768 is an abundant number, because the sum of its proper divisors (285826751622048) is greater than itself. Its abundance is 154140116585280

Bases of 131686635036768

• Binary: 11101111100010010101111000110100110000001100000₂
• Hexadecimal: 0x77C4AF1A6060
• Base-36: 1AOG06GAQO

Squares and roots of 131686635036768

• 131686635036768 squared (131686635036768²) is 17341369847306933392711885824
• 131686635036768 cubed (131686635036768³) is 2283626642119921357201143095649992857976832
• The square root of 131686635036768 is 11475479.7301362525
• The cube root of 131686635036768 is 50876.1102900543
• Being both a perfect square and a perfect cube, 131686635036768 is also a perfect sixth number.

Scales and comparisons

• 131,686,635,036,768 seconds is equal to 4,187,227 years, 34 weeks, 2 days, 11 hours, 32 minutes, 48 seconds.
• To count from 1 to 131,686,635,036,768 would take you about ten million, four hundred sixty-eight thousand and sixty-nine 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 131686635036768 cubic inches would be around 4239.7 feet tall.

Recreational maths with 131686635036768

• 131686635036768 backwards is 867630536686131
• The number of decimal digits it has is: 15
• The sum of 131686635036768's digits is 69
• More coming soon!