421338917364768

Names of 421338917364768

• Cardinal: 421338917364768 can be written as Four hundred twenty-one trillion, three hundred thirty-eight billion, nine hundred seventeen million, three hundred sixty-four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 4.21338917364768 × 10¹⁴

Factors of 421338917364768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 75779

Divisors of 421338917364768

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 32 36 39 48 52 54 58 72 78 87 96 104 108 116 117 144 156 174 208 216 232 234 261 288 312 348 351 377 416 432 464 468 522 624 696 702 754 783 864 928 936 1044 1131 1248 1392 1404 1508 1566 1872 2088 2262 2784 2808 3016 3132 3393 3744 4176 4524 5616 6032 6264 6786 8352 9048 10179 11232 12064 12528 13572 18096 20358 25056 26021 27144 36192 40716 49711 52042 54288 78063 81432 99422 104084 108576 149133 156126 162864 198844 208168 234189 298266 312252 325728 338273 397688 416336 447399 468378 596532 624504 646243 676546 702567 754609 795376 832672 894798 936756 1014819 1193064 1249008 1292486 1342197 1353092 1405134 1441619 1509218 1590752 1789596 1873512 1938729 2029638 2263827 2386128 2498016 2584972 2684394 2706184 2810268 2883238 3018436 3044457 3579192 3747024 3877458 4059276 4324857 4527654 4772256 5169944 5368788 5412368 5620536 5766476 5816187 6036872 6088914 6791481 7158384 7494048 7754916 8118552 8649714 9055308 9133371 9809917 10339888 10737576 10824736 11241072 11532952 11632374 12073744 12177828 12974571 13582962 14316768 15509832 16237104 17299428 17448561 18110616 18266742 18741047 19619834 20374443 20679776 21475152 22482144 23065904 23264748 24147488 24355656 25949142 27165924 29429751 31019664 32474208 34598856 34897122 36221232 36533484 37482094 38923713 39239668 40748886 42950304 46131808 46529496 48711312 51898284 54331848 56223141 58859502 62039328 69197712 69794244 72442464 73066968 74964188 77847426 78479336 81497772 88289253 93058992 97422624 103796568 108663696 112446282 117719004 138395424 139588488 146133936 149928376 155694852 156958672 162995544 168669423 176578506 186117984 207593136 217327392 224892564 235438008 264867759 279176976 292267872 299856752 311389704 313917344 325991088 337338846 353157012 415186272 449785128 470876016 506008269 529735518 558353952 599713504 622779408 651982176 674677692 706314024 899570256 941752032 1012016538 1059471036 1245558816 1293529931 1349355384 1412628048 1799140512 2024033076 2118942072 2587059862 2698710768 2825256096 3880589793 4048066152 4237884144 5174119724 5397421536 7761179586 8096132304 8475768288 10348239448 11641769379 15522359172 16192264608 16815889103 20696478896 23283538758 31044718344 33631778206 34925308137 37512367999 41392957792 46567077516 50447667309 62089436688 67263556412 69850616274 75024735998 93134155032 100895334618 112537103997 124178873376 134527112824 139701232548 150049471996 151343001927 186268310064 201790669236 225074207994 269054225648 279402465096 300098943992 302686003854 337611311991 372536620128 403581338472 450148415988 454029005781 487660783987 538108451296 558804930192 600197887984 605372007708 675222623982 807162676944 900296831976 908058011562 975321567974 1012833935973 1117609860384 1200395775968 1210744015416 1350445247964 1462982351961 1614325353888 1800593663952 1816116023124 1950643135948 2025667871946 2421488030832 2700890495928 2925964703922 3601187327904 3632232046248 3901286271896 4051335743892 4388947055883 4842976061664 5401780991856 5851929407844 7264464092496 7802572543792 8102671487784 8777894111766 10803561983712 11703858815688 13166841167649 14528928184992 15605145087584 16205342975568 17555788223532 23407717631376 26333682335298 32410685951136 35111576447064 46815435262752 52667364670596 70223152894128 105334729341192 140446305788256 210669458682384 421338917364768
• Sum of all divisors σ(n): 1369152234777600
• Sum of proper divisors (its aliquot sum) s(n): 947813317412832
• 421338917364768 is an abundant number, because the sum of its proper divisors (947813317412832) is greater than itself. Its abundance is 526474400048064

Bases of 421338917364768

• Binary: 1011111110011010010011100011111111110010000100000₂
• Hexadecimal: 0x17F349C7FE420
• Base-36: 45COFCR0O0

Squares and roots of 421338917364768

• 421338917364768 squared (421338917364768²) is 177526483286114797285567693824
• 421338917364768 cubed (421338917364768³) is 74798816271346190081285154222253705148792832
• The square root of 421338917364768 is 20526541.7780192093
• The cube root of 421338917364768 is 74968.2186746681

Scales and comparisons

• 421,338,917,364,768 seconds is equal to 13,397,274 years, 14 weeks, 5 days, 20 hours, 52 minutes, 48 seconds.
• To count from 1 to 421,338,917,364,768 would take you about thirty-three million, four hundred ninety-three thousand, one hundred eighty-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 421338917364768 cubic inches would be around 6247.4 feet tall.

Recreational maths with 421338917364768

• 421338917364768 backwards is 867463719833124
• 421338917364768 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 421338917364768's digits is 72
• More coming soon!