42407166946050048

Names of 42407166946050048

• Cardinal: 42407166946050048 can be written as Forty-two quadrillion, four hundred seven trillion, one hundred sixty-six billion, nine hundred forty-six million, fifty thousand and forty-eight.

Scientific notation

• Scientific notation: 4.2407166946050048 × 10¹⁶

Factors of 42407166946050048

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 26
• Sum of prime factors: 7499

Divisors of 42407166946050048

• Number of divisors d(n): 276
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1024 1464 1536 1952 2048 2928 3072 3904 4096 5856 6144 7433 7808 8192 11712 12288 14866 15616 16384 22299 23424 24576 29732 31232 32768 44598 46848 49152 59464 62464 65536 89196 93696 98304 118928 124928 131072 178392 187392 196608 237856 249856 262144 356784 374784 393216 453413 475712 499712 524288 713568 749568 786432 906826 951424 999424 1048576 1360239 1427136 1499136 1572864 1813652 1902848 1998848 2097152 2720478 2854272 2998272 3145728 3627304 3805696 3997696 4194304 5440956 5708544 5996544 6291456 7254608 7611392 7995392 10881912 11417088 11993088 12582912 14509216 15222784 15990784 21763824 22834176 23986176 29018432 30445568 31981568 43527648 45668352 47972352 55249489 58036864 60891136 63963136 87055296 91336704 95944704 110498978 116073728 121782272 127926272 165748467 174110592 182673408 191889408 220997956 232147456 243564544 255852544 331496934 348221184 365346816 383778816 441995912 464294912 487129088 662993868 696442368 730693632 767557632 883991824 928589824 974258176 1325987736 1392884736 1461387264 1767983648 1857179648 1948516352 2651975472 2785769472 2922774528 3370218829 3535967296 3714359296 3897032704 5303950944 5571538944 5845549056 6740437658 7071934592 7428718592 7794065408 10110656487 10607901888 11143077888 11691098112 13480875316 14143869184 14857437184 15588130816 20221312974 21215803776 22286155776 23382196224 26961750632 28287738368 29714874368 31176261632 40442625948 42431607552 44572311552 46764392448 53923501264 56575476736 59429748736 80885251896 84863215104 89144623104 93528784896 107847002528 113150953472 118859497472 161770503792 169726430208 178289246208 215694005056 226301906944 237718994944 323541007584 339452860416 356578492416 431388010112 452603813888 475437989888 647082015168 678905720832 713156984832 862776020224 905207627776 950875979776 1294164030336 1357811441664 1426313969664 1725552040448 1810415255552 1901751959552 2588328060672 2715622883328 2852627939328 3451104080896 3620830511104 5176656121344 5431245766656 5705255878656 6902208161792 7241661022208 10353312242688 10862491533312 13804416323584 14483322044416 20706624485376 21724983066624 27608832647168 28966644088832 41413248970752 43449966133248 55217665294336 57933288177664 82826497941504 86899932266496 110435330588672 115866576355328 165652995883008 173799864532992 220870661177344 231733152710656 331305991766016 347599729065984 441741322354688 662611983532032 695199458131968 883482644709376 1325223967064064 1766965289418752 2650447934128128 3533930578837504 5300895868256256 7067861157675008 10601791736512512 14135722315350016 21203583473025024 42407166946050048
• Sum of all divisors σ(n): 114955095546912728
• Sum of proper divisors (its aliquot sum) s(n): 72547928600862680
• 42407166946050048 is an abundant number, because the sum of its proper divisors (72547928600862680) is greater than itself. Its abundance is 30140761654812632

Bases of 42407166946050048

• Binary: 10010110101010010001011111111001110000000000000000000000₂
• Hexadecimal: 0x96A917F9C00000
• Base-36: BLK33JR2OLC

Squares and roots of 42407166946050048

• 42407166946050048 squared (42407166946050048²) is 1798367808390159754698629320802304
• 42407166946050048 cubed (42407166946050048³) is 76263683880803648933189492240037053389691097710592
• The square root of 42407166946050048 is 205930004.9678289305
• The cube root of 42407166946050048 is 348722.3264204719

Scales and comparisons

• 42,407,166,946,050,048 seconds is equal to 1,348,416,734 years, 47 weeks, 5 hours, 48 seconds.
• To count from 1 to 42,407,166,946,050,048 would take you about four billion, forty-five million, two hundred fifty thousand, two hundred four 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 42407166946050048 cubic inches would be around 29060.2 feet tall.

Recreational maths with 42407166946050048

• 42407166946050048 backwards is 84005064966170424
• The number of decimal digits it has is: 17
• The sum of 42407166946050048's digits is 66
• More coming soon!