12677664768599904

Names of 12677664768599904

• Cardinal: 12677664768599904 can be written as Twelve quadrillion, six hundred seventy-seven trillion, six hundred sixty-four billion, seven hundred sixty-eight million, five hundred ninety-nine thousand, nine hundred four.

Scientific notation

• Scientific notation: 1.2677664768599904 × 10¹⁶

Factors of 12677664768599904

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 832

Divisors of 12677664768599904

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 48 96 107 211 214 321 422 428 509 633 642 844 856 1018 1266 1284 1527 1688 1712 2036 2532 2568 3054 3376 3424 4072 5064 5136 6108 6752 8144 10128 10272 11449 12216 16288 20256 22577 22898 24432 34347 44521 45154 45796 48864 54463 67731 68694 89042 90308 91592 107399 108926 133563 135462 137388 163389 178084 180616 183184 214798 217852 259081 267126 270924 274776 322197 326778 356168 361232 366368 429596 435704 518162 534252 541848 549552 644394 653556 712336 722464 777243 859192 871408 1036324 1068504 1083696 1099104 1288788 1307112 1424672 1554486 1718384 1742816 2072648 2137008 2167392 2415739 2577576 2614224 3108972 3436768 4145296 4274016 4763747 4831478 5155152 5228448 5827541 6217944 7247217 8290592 9527494 9662956 10310304 11491693 11655082 12435888 14291241 14494434 17482623 19054988 19325912 22661189 22983386 23310164 24871776 27721667 28582482 28988868 34475079 34965246 38109976 38651824 45322378 45966772 46620328 54666091 55443334 57164964 57977736 67983567 68950158 69930492 76219952 77303648 83165001 90644756 91933544 93240656 109332182 110886668 114329928 115955472 135967134 137900316 139860984 152439904 163998273 166330002 181289512 183867088 186481312 218664364 221773336 228659856 231910944 271934268 275800632 279721968 327996546 332660004 362579024 367734176 437328728 443546672 457319712 509720929 543868536 551601264 559443936 655993092 665320008 725158048 874657456 887093344 1019441858 1087737072 1103202528 1229611151 1311986184 1330640016 1529162787 1749314912 2038883716 2175474144 2424747223 2459222302 2623972368 2661280032 2966218369 3058325574 3688833453 4077767432 4849494446 4918444604 5247944736 5849271737 5932436738 6116651148 7274241669 7377666906 8155534864 8898655107 9698988892 9836889208 11534545201 11698543474 11864873476 12233302296 14548483338 14755333812 16311069728 17547815211 17797310214 19397977784 19673778416 23069090402 23397086948 23729746952 24466604592 29096966676 29510667624 34603635603 35095630422 35594620428 38795955568 39347556832 46138180804 46794173896 47459493904 48933209184 58193933352 59021335248 69207271206 70191260844 71189240856 77591911136 92276361608 93588347792 94918987808 116387866704 118042670496 138414542412 140382521688 142378481712 184552723216 187176695584 232775733408 259447952861 276829084824 280765043376 284756963424 369105446432 518895905722 553658169648 561530086752 625872075859 778343858583 1037791811444 1107316339296 1234196336507 1251744151718 1556687717166 1877616227577 2075583622888 2468392673014 2503488303436 3113375434332 3702589009521 3755232455154 4151167245776 4936785346028 5006976606872 6226750868664 7405178019042 7510464910308 8302334491552 9873570692056 10013953213744 12453501737328 14810356038084 15020929820616 19747141384112 20027906427488 24907003474656 29620712076168 30041859641232 39494282768224 59241424152336 60083719282464 118482848304672 132059008006249 264118016012498 396177024018747 528236032024996 792354048037494 1056472064049992 1584708096074988 2112944128099984 3169416192149976 4225888256199968 6338832384299952 12677664768599904
• Sum of all divisors σ(n): 33819198470585892
• Sum of proper divisors (its aliquot sum) s(n): 21141533701985988
• 12677664768599904 is an abundant number, because the sum of its proper divisors (21141533701985988) is greater than itself. Its abundance is 8463868933386084

Bases of 12677664768599904

• Binary: 101101000010100100010011011001000111010010011101100000₂
• Hexadecimal: 0x2D0A44D91D2760
• Base-36: 3GTUUSJMBMO

Squares and roots of 12677664768599904

• 12677664768599904 squared (12677664768599904²) is 160723183984999257434324428809216
• 12677664768599904 cubed (12677664768599904³) is 2037594647103825407446633879528202839042251915264
• The square root of 12677664768599904 is 112595136.5228529931
• The cube root of 12677664768599904 is 233173.8022343715

Scales and comparisons

• 12,677,664,768,599,904 seconds is equal to 403,110,525 years, 2 weeks, 4 days, 1 hour, 18 minutes, 24 seconds.
• To count from 1 to 12,677,664,768,599,904 would take you about one billion, two hundred nine million, three hundred thirty-one thousand, five hundred seventy-five 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 12677664768599904 cubic inches would be around 19431.2 feet tall.

Recreational maths with 12677664768599904

• 12677664768599904 backwards is 40999586746677621
• 12677664768599904 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12677664768599904's digits is 96
• More coming soon!