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3305105341104 = 243759871642997
BaseRepresentation
bin110000000110000111101…
…000010011101010110000
3102200222001110210111120210
4300012013220103222300
5413122323431403404
611010202221504120
7460533406603020
oct60060750235260
912628043714523
103305105341104
11106476188a346
12454675112040
131ac893280cb8
14b5d7a0bba80
155ae90216689
hex30187a13ab0

3305105341104 has 80 divisors (see below), whose sum is σ = 9759565847808. Its totient is φ = 944157509376.

The previous prime is 3305105341103. The next prime is 3305105341121. The reversal of 3305105341104 is 4011435015033.

It is a super-3 number, since 3×33051053411043 (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3305105341103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1190134 + ... + 2833130.

Almost surely, 23305105341104 is an apocalyptic number.

It is an amenable number.

3305105341104 is an abundant number, since it is smaller than the sum of its proper divisors (6454460506704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3305105341104 is a wasteful number, since it uses less digits than its factorization.

3305105341104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649002 (or 1648996 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 3305105341104 in words is "three trillion, three hundred five billion, one hundred five million, three hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 5987 11974 17961 23948 35922 41909 47896 71844 83818 95792 125727 143688 167636 251454 287376 335272 502908 670544 1005816 1642997 2011632 3285994 4928991 6571988 9857982 11500979 13143976 19715964 23001958 26287952 34502937 39431928 46003916 69005874 78863856 92007832 138011748 184015664 276023496 552046992 9836623039 19673246078 29509869117 39346492156 59019738234 68856361273 78692984312 118039476468 137712722546 157385968624 206569083819 236078952936 275425445092 413138167638 472157905872 550850890184 826276335276 1101701780368 1652552670552 3305105341104