47968830210012327

Names of 47968830210012327

• Cardinal: 47968830210012327 can be written as Forty-seven quadrillion, nine hundred sixty-eight trillion, eight hundred thirty billion, two hundred ten million, twelve thousand, three hundred twenty-seven.

Scientific notation

• Scientific notation: 4.7968830210012327 × 10¹⁶

Factors of 47968830210012327

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 17506

Divisors of 47968830210012327

• Number of divisors d(n): 288
• Complete list of divisors:
  1 3 7 9 11 21 31 33 61 63 77 93 99 121 183 217 231 279 341 363 427 549 651 671 693 847 1023 1089 1281 1331 1891 1953 2013 2387 2541 3069 3751 3843 3993 4697 5673 6039 7161 7381 7623 9317 11253 11979 13237 14091 17019 17393 20801 21483 22143 26257 27951 33759 39711 41261 42273 51667 52179 62403 66429 78771 81191 83853 119133 121751 123783 145607 155001 156537 187209 191323 228811 236313 243573 288827 365253 371349 436821 465003 539183 568337 573969 686433 730719 866481 1060973 1095759 1310463 1339261 1601677 1617549 1705011 1721907 2059299 2104553 2516921 2599443 3182919 3774281 4017783 4805031 4852647 5115033 5931013 6313659 7426811 7550763 9548757 11322843 11670703 12053349 14415093 14731871 17618447 17793039 18940977 22280433 22652289 23150083 32890163 33968529 35012109 41517091 44195613 52855341 53379117 65241143 66841299 69450249 81694921 98670489 105036327 124551273 128377733 132586839 158566023 162050581 195723429 208350747 230231141 245084763 296011467 302516449 361791793 373653819 385133199 456688001 486151743 587170287 690693423 717652573 735254289 898644131 907549347 1085375379 1155399597 1370064003 1412155063 1458455229 2072080269 2117615143 2152957719 2532542551 2695932393 2722648041 3256126137 3327680939 3979709723 4110192009 4236465189 5023568011 6352845429 6458873157 7597627653 8087797179 9378009919 9885085441 9983042817 11939129169 12709395567 15070704033 18453503389 19058536287 22792882959 23293766573 27857968061 28134029757 29655256323 29949128451 35817387507 36604490329 43776806953 45212112099 55360510167 65646069433 69881299719 83573904183 84402089271 88965768969 103158109109 109813470987 129174523723 131330420859 166081530501 196938208299 202988537279 209643899157 250721712549 256231432303 306437648671 309474327327 329440412961 387523571169 393991262577 402649393619 572058605059 590814624897 608965611837 722106763763 768694296909 919312946013 928422981981 1134739200199 1162570713507 1207948180857 1420919760953 1716175815177 1826896835511 2166320291289 2232873910069 2306082890727 2757938838039 2818545755333 3404217600597 3623844542571 4004410235413 4262759282859 5148527445531 6292644655649 6498960873867 6698621730207 7943174401393 8455637265999 10212652801791 12013230706239 12482131202189 12788277848577 15630117370483 18877933966947 20095865190621 23829523204179 24561613010759 25366911797997 36039692118717 37446393606567 44048512589543 46890352111449 56633801900841 69219091212139 71488569612537 73684839032277 87374918415323 112339180819701 132145537768629 140671056334347 171931291075313 207657273636417 221054517096831 262124755245969 396436613305887 484533638484973 515793873225939 622971820909251 761410003333529 786374265737907 1453600915454919 1547381619677817 2284230010000587 4360802746364757 5329870023334703 6852690030001761 15989610070004109 47968830210012327
• Sum of all divisors σ(n): 91388184114819072
• Sum of proper divisors (its aliquot sum) s(n): 43419353904806745
• 47968830210012327 is a deficient number, because the sum of its proper divisors (43419353904806745) is less than itself. Its deficiency is 4549476305205582

Bases of 47968830210012327

• Binary: 10101010011010110110010110011100111101010111010010100111₂
• Hexadecimal: 0xAA6B659CF574A7
• Base-36: D4BJ4DOJPNR

Squares and roots of 47968830210012327

• 47968830210012327 squared (47968830210012327²) is 2301008671716991267639997491954929
• 47968830210012327 cubed (47968830210012327³) is 110376694285358347823371962447768028422688418409783
• The square root of 47968830210012327 is 219017876.4622018861
• The cube root of 47968830210012327 is 363345.4358835883

Scales and comparisons

• 47,968,830,210,012,327 seconds is equal to 1,525,260,423 years, 17 weeks, 6 days, 8 hours, 45 minutes, 27 seconds.
• To count from 1 to 47,968,830,210,012,327 would take you about four billion, five hundred seventy-five million, seven hundred eighty-one thousand, two hundred seventy 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 47968830210012327 cubic inches would be around 30278.8 feet tall.

Recreational maths with 47968830210012327

• 47968830210012327 backwards is 72321001203886974
• 47968830210012327 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 47968830210012327's digits is 63
• More coming soon!