314340746828668672

Names of 314340746828668672

• Cardinal: 314340746828668672 can be written as Three hundred fourteen quadrillion, three hundred forty trillion, seven hundred forty-six billion, eight hundred twenty-eight million, six hundred sixty-eight thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 3.14340746828668672 × 10¹⁷

Factors of 314340746828668672

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 4723

Divisors of 314340746828668672

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 343 392 443 448 686 784 886 896 1372 1568 1772 1792 2744 3101 3136 3544 4271 5488 6202 6272 7088 8542 10976 12404 12544 14176 17084 21707 21952 24808 28352 29897 34168 43414 43904 49616 56704 59794 68336 86828 87808 99232 113408 119588 136672 151949 173656 196249 198464 209279 239176 273344 303898 347312 392498 396928 418558 478352 546688 607796 694624 784996 793856 837116 956704 1093376 1215592 1373743 1389248 1464953 1569992 1674232 1892053 1913408 2431184 2747486 2778496 2929906 3139984 3348464 3784106 3826816 4862368 5494972 5556992 5859812 6279968 6696928 7568212 7653632 9616201 9724736 10989944 11719624 12559936 13244371 13393856 15136424 18241441 19232402 19449472 21979888 23439248 25119872 26488742 26787712 30272848 36482882 38464804 38898944 43959776 46878496 50239744 52977484 53575424 60545696 67313407 72965764 76929608 87919552 92710597 93756992 105954968 121091392 127690087 134626814 145931528 153859216 175839104 185421194 187513984 211909936 242182784 255380174 269253628 291863056 307718432 351678208 370842388 375027968 423819872 484365568 510760348 538507256 583726112 615436864 648974179 741684776 838179479 847639744 893830609 1021520696 1077014512 1167452224 1230873728 1297948358 1483369552 1676358958 1695279488 1787661218 2043041392 2154029024 2334904448 2461747456 2595896716 2966739104 3352717916 3390558976 3575322436 4086082784 4308058048 4669808896 5191793432 5867256353 5933478208 6256814263 6705435832 7150644872 8080958363 8172165568 8616116096 10383586864 11734512706 11866956416 12513628526 13410871664 14301289744 16161916726 16344331136 17232232192 20767173728 23469025412 23733912832 25027257052 26821743328 28602579488 32323833452 32688662272 41070794471 41534347456 46938050824 50054514104 53643486656 56566708541 57205158976 64647666904 82141588942 83068694912 93876101648 100109028208 107286973312 113133417082 114410317952 129295333808 164283177884 166137389824 187752203296 200218056416 214573946624 226266834164 228820635904 258590667616 287495561297 328566355768 375504406592 395966959787 400436112832 452533668328 517181335232 574991122594 657132711536 751008813184 791933919574 800872225664 905067336656 1034362670464 1149982245188 1314265423072 1502017626368 1583867839148 1601744451328 1810134673312 2068725340928 2299964490376 2628530846144 2771768718509 3167735678296 3579864554809 3620269346624 4599928980752 5257061692288 5543537437018 6335471356592 7159729109618 7240538693248 9199857961504 10514123384576 11087074874036 12670942713184 14319458219236 14481077386496 18399715923008 22174149748072 25059051883663 25341885426368 28638916438472 36799431846016 44348299496144 50118103767326 50683770852736 57277832876944 73598863692032 88696598992288 100236207534652 101367541705472 114555665753888 175413363185641 177393197984576 200472415069304 229111331507776 350826726371282 354786395969152 400944830138608 458222663015552 701653452742564 709572791938304 801889660277216 916445326031104 1227893542299487 1403306905485128 1603779320554432 2455787084598974 2806613810970256 3207558641108864 4911574169197948 5613227621940512 6415117282217728 9823148338395896 11226455243881024 19646296676791792 22452910487762048 39292593353583584 44905820975524096 78585186707167168 157170373414334336 314340746828668672
• Sum of all divisors σ(n): 733551543141079600
• Sum of proper divisors (its aliquot sum) s(n): 419210796312410928
• 314340746828668672 is an abundant number, because the sum of its proper divisors (419210796312410928) is greater than itself. Its abundance is 104870049483742256

Bases of 314340746828668672

• Binary: 10001011100110000110011111001101001001001110101111100000000₂
• Hexadecimal: 0x45CC33E69275F00
• Base-36: 2DZ4HTJK7T34

Squares and roots of 314340746828668672

• 314340746828668672 squared (314340746828668672²) is 98810105116805173773310391954243584
• 314340746828668672 cubed (314340746828668672³) is 31060042236635794047885371729907677604796179517800448
• The square root of 314340746828668672 is 560660990.9996134839
• The cube root of 314340746828668672 is 679934.2113606817

Scales and comparisons

• 314,340,746,828,668,672 seconds is equal to 9,995,063,429 years, 19 weeks, 5 days, 18 hours, 37 minutes, 52 seconds.
• To count from 1 to 314,340,746,828,668,672 would take you about twenty-nine billion, nine hundred eighty-five million, one hundred ninety thousand, two hundred eighty-eight 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 314340746828668672 cubic inches would be around 56661.2 feet tall.

Recreational maths with 314340746828668672

• 314340746828668672 backwards is 276866828647043413
• The number of decimal digits it has is: 18
• The sum of 314340746828668672's digits is 85
• More coming soon!