3345831913916961

Names of 3345831913916961

• Cardinal: 3345831913916961 can be written as Three quadrillion, three hundred forty-five trillion, eight hundred thirty-one billion, nine hundred thirteen million, nine hundred sixteen thousand, nine hundred sixty-one.

Scientific notation

• Scientific notation: 3.345831913916961 × 10¹⁵

Factors of 3345831913916961

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 416

Divisors of 3345831913916961

• Number of divisors d(n): 336
• Complete list of divisors:
  1 3 7 9 21 27 47 49 63 81 141 147 189 243 329 343 359 423 441 567 729 987 1029 1077 1269 1323 1701 2209 2303 2513 2961 3087 3231 3807 3969 5103 6627 6909 7539 8883 9261 9693 11421 11907 15463 16121 16873 17591 19881 20727 22617 26649 27783 29079 34263 35721 46389 48363 50619 52773 59643 62181 67851 79947 83349 87237 103823 108241 118111 123137 128881 139167 145089 151857 158319 178929 186543 203553 239841 250047 261711 311469 324723 354333 369411 386643 417501 435267 455571 474957 536787 559629 610659 726761 757687 793031 826777 902167 934407 974169 1062999 1108233 1159929 1252503 1305801 1366713 1424871 1610361 1678887 1831977 2180283 2273061 2379093 2480331 2706501 2803221 2922507 3188997 3324699 3479787 3757509 3917403 4100139 4274613 5087327 5551217 5787439 6057407 6315169 6540849 6819183 7137279 7440993 8119503 8409663 8767521 9566991 9974097 10439361 11272527 11752209 12300417 12823839 15261981 16653651 17362317 18172221 18945507 19622547 20457549 21411837 22322979 24358509 25228989 26302563 28700973 29922291 31318083 35611289 37272457 38858519 42401849 44206183 45785943 49960953 52086951 54516663 56836521 58867641 61372647 64235511 66968937 73075527 75686967 78907689 86102919 89766873 93954249 106833867 111817371 116575557 127205547 132618549 137357829 149882859 156260853 163549989 170509563 176602923 184117941 192706533 200906811 219226581 260907199 272009633 284698129 296812943 320501601 335452113 349726671 381616641 397855647 412073487 449648577 468782559 490649967 511528689 529808769 552353823 578119599 602720433 657679743 782721597 816028899 854094387 890438829 961504803 1006356339 1049180013 1144849923 1193566941 1236220461 1348945731 1406347677 1471949901 1534586067 1826350393 1992886903 2077690601 2348164791 2448086697 2562283161 2671316487 2884514409 3019069017 3147540039 3434549769 3580700823 3708661383 4046837193 4219043031 4415849703 4603758201 5479051179 5978660709 6233071803 7044494373 7344260091 7686849483 8013949461 8653543227 9057207051 9442620117 10303649307 10742102469 12784452751 13380812063 13950208321 16437153537 17935982127 18699215409 21133483119 22032780273 23060548449 24041848383 25960629681 27171621153 28327860351 30910947921 32226307407 38353358253 40142436189 41850624963 49311460611 53807946381 56097646227 63400449357 66098340819 69181645347 72125545149 93665684441 97651458247 115060074759 120427308567 125551874889 147934381833 161423839143 168292938681 190201348071 198295022457 207544936041 216376635447 280997053323 292954374741 345180224277 361281925701 376655624667 443803145499 484271517429 504878816043 655659791087 842991159969 878863124223 1035540672831 1083845777103 1129966874001 1331409436497 1452814552287 1514636448129 1966979373261 2528973479907 2636589372669 3106622018493 3251537331309 3389900622003 4589618537609 5900938119783 7586920439721 7909768118007 9319866055479 9754611993927 10169701866009 13768855612827 17702814359349 22760761319163 23729304354021 41306566838481 53108443078047 68282283957489 71187913062063 123919700515443 159325329234141 371759101546329 477975987702423 1115277304638987 3345831913916961
• Sum of all divisors σ(n): 5993961844416000
• Sum of proper divisors (its aliquot sum) s(n): 2648129930499039
• 3345831913916961 is a deficient number, because the sum of its proper divisors (2648129930499039) is less than itself. Its deficiency is 697701983417922

Bases of 3345831913916961

• Binary: 1011111000110000010000110010101101010000101000100001₂
• Hexadecimal: 0xBE30432B50A21
• Base-36: WXZXYMQ529

Squares and roots of 3345831913916961

• 3345831913916961 squared (3345831913916961²) is 11194591196185234323393603475521
• 3345831913916961 cubed (3345831913916961³) is 37455220487450404396438489618879198138190211681
• The square root of 3345831913916961 is 57843166.5274037449
• The cube root of 3345831913916961 is 149566.6293444753

Scales and comparisons

• 3,345,831,913,916,961 seconds is equal to 106,387,105 years, 27 weeks, 2 days, 1 hour, 49 minutes, 21 seconds.
• To count from 1 to 3,345,831,913,916,961 would take you about three hundred nineteen million, one hundred sixty-one thousand, three hundred sixteen 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 3345831913916961 cubic inches would be around 12463.9 feet tall.

Recreational maths with 3345831913916961

• 3345831913916961 backwards is 1696193191385433
• The number of decimal digits it has is: 16
• The sum of 3345831913916961's digits is 72
• More coming soon!