1338956684463096405

Names of 1338956684463096405

• Cardinal: 1338956684463096405 can be written as One quintillion, three hundred thirty-eight quadrillion, nine hundred fifty-six trillion, six hundred eighty-four billion, four hundred sixty-three million, ninety-six thousand, four hundred five.

Scientific notation

• Scientific notation: 1.338956684463096405 × 10¹⁸

Factors of 1338956684463096405

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 112

Divisors of 1338956684463096405

• Number of divisors d(n): 378
• Complete list of divisors:
  1 3 5 7 9 15 21 27 35 45 49 63 81 97 105 135 147 189 243 245 291 315 405 441 485 567 679 729 735 873 945 1215 1323 1455 1701 2037 2187 2205 2619 2835 3395 3645 3969 4365 4753 5103 6111 6561 6615 7857 8505 9409 10185 10935 11907 13095 14259 15309 18333 19845 23571 23765 25515 28227 30555 32805 35721 39285 42777 45927 47045 54999 59535 65863 70713 71295 76545 84681 91665 107163 117855 128331 141135 164997 178605 197589 212139 213885 229635 254043 274995 321489 329315 353565 384993 423405 461041 494991 535815 592767 636417 641655 762129 824985 912673 987945 1060695 1154979 1270215 1383123 1484973 1607445 1778301 1924965 2286387 2305205 2474955 2738019 2963835 3182085 3464937 3810645 4149369 4454919 4563365 5334903 5774895 6388711 6859161 6915615 7424865 8214057 8891505 10394811 11431935 12448107 13690095 16004709 17324685 19166133 20577483 20746845 22274595 24642171 26674515 31184433 31943555 34295805 37344321 41070285 44720977 48014127 51974055 57498399 61732449 62240535 73926513 80023545 88529281 95830665 102887415 112032963 123210855 134162931 144042381 155922165 172495197 186721605 221779539 223604885 240070635 265587843 287491995 308662245 336098889 369632565 402488793 432127143 442646405 517485591 560164815 619704967 665338617 670814655 720211905 796763529 862475985 1008296667 1108897695 1207466379 1327939215 1552456773 1680494445 1859114901 1996015851 2012443965 2160635715 2390290587 2587427955 3024890001 3098524835 3326693085 3622399137 3983817645 4337934769 4657370319 5041483335 5577344703 5988047553 6037331895 7170871761 7762283865 8587340257 9295574505 9980079255 10867197411 11951452935 13013804307 13972110957 15124450005 16732034109 18111995685 21512615283 21689673845 23286851595 25762020771 27886723515 29940237765 32601592233 35854358805 39041412921 41916332871 42936701285 50196102327 54335987055 60111381799 64537845849 65069021535 69860554785 77286062313 83660170545 97804776699 107563076415 117124238763 128810103855 150588306981 163007961165 180334145397 193613537547 195207064605 209581664355 231858186939 250980511635 293414330097 300556908995 322689229245 351372716289 386430311565 420779672593 451764920943 489023883495 541002436191 580840612641 585621193815 695574560817 752941534905 832972004929 901670726985 968067687735 1054118148867 1159290934695 1262339017779 1355294762829 1467071650485 1623007308573 1756863581445 2086723682451 2103898362965 2258824604715 2498916014787 2705012180955 2904203063205 3162354446601 3477872804085 3787017053337 4065884288487 4164860024645 4869021925719 5270590744335 5830804034503 6260171047353 6311695088895 6776473814145 7496748044361 8115036542865 9487063339803 10433618412255 11361051160011 12494580073935 14607065777157 15811772233005 17492412103509 18780513142059 18935085266685 20329421442435 22490244133083 24345109628595 28461190019409 29154020172515 31300855236765 34083153480033 37483740221805 40815628241521 43821197331471 47435316699015 52477236310527 56341539426177 56805255800055 67470732399249 73035328885785 87462060517545 93902565710295 102249460440099 112451220665415 122446884724563 131463591994413 142305950097045 157431708931581 170415767400165 202412197197747 204078141207605 219105986657355 262386181552635 281707697130885 306748381320297 337353661996245 367340654173689 394390775983239 472295126794743 511247302200495 607236591593241 612234423622815 657317959972065 787158544657905 920245143960891 1012060985988735 1102021962521067 1416885380384229 1533741906601485 1821709774779723 1836703270868445 1971953879916195 2361475633973715 2760735431882673 3036182957966205 3306065887563201 4250656141152687 4601225719804455 5465129324339169 5510109812605335 7084426901921145 9108548873898615 9918197662689603 12751968423458061 13803677159413365 16530329437816005 21253280705763435 27325646621695845 29754592988068809 38255905270374183 49590988313448015 63759842117290305 89263778964206427 148772964940344045 191279526351870915 267791336892619281 446318894821032135 1338956684463096405
• Sum of all divisors σ(n): 2832671706268669434
• Sum of proper divisors (its aliquot sum) s(n): 1493715021805573029
• 1338956684463096405 is an abundant number, because the sum of its proper divisors (1493715021805573029) is greater than itself. Its abundance is 154758337342476624

Bases of 1338956684463096405

• Binary: 1001010010100111011100000001010101011000011101100001001010101₂
• Hexadecimal: 0x1294EE02AB0EC255
• Base-36: A67WJ56C7GB9

Squares and roots of 1338956684463096405

• 1338956684463096405 squared (1338956684463096405²) is 1792805002868407909836700320323924025
• 1338956684463096405 cubed (1338956684463096405³) is 2400488242529535495008693633521599173786290751470630125
• The square root of 1338956684463096405 is 1157132958.8526533735
• The cube root of 1338956684463096405 is 1102187.5707870307
• Being both a perfect square and a perfect cube, 1338956684463096405 is also a perfect sixth number.

Scales and comparisons

• 1,338,956,684,463,096,405 seconds is equal to 42,574,680,900 years, 50 weeks, 2 days, 12 hours, 6 minutes, 45 seconds.
• To count from 1 to 1,338,956,684,463,096,405 would take you about one hundred forty-nine billion, eleven million, three hundred eighty-three thousand, one hundred fifty-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 1338956684463096405 cubic inches would be around 91849 feet tall.

Recreational maths with 1338956684463096405

• 1338956684463096405 backwards is 5046903644866598331
• The number of decimal digits it has is: 19
• The sum of 1338956684463096405's digits is 90
• More coming soon!