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11441326346241 = 3112519293148639
BaseRepresentation
bin1010011001111110010000…
…1100010101000000000001
31111111210001201000221210120
42212133210030111000001
52444423314021034431
640200023414450453
72260415506215651
oct246374414250001
944453051027716
1011441326346241
11371126a4a1970
1213494a5063a29
1364cbb28457bc
142b7a98124361
1514c936231196
hexa67e4315001

11441326346241 has 32 divisors (see below), whose sum is σ = 16710142095360. Its totient is φ = 6905721480000.

The previous prime is 11441326346147. The next prime is 11441326346249. The reversal of 11441326346241 is 14264362314411.

It is not a de Polignac number, because 11441326346241 - 234 = 11424146477057 is a prime.

It is a super-2 number, since 2×114413263462412 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11441326346193 and 11441326346202.

It is not an unprimeable number, because it can be changed into a prime (11441326346249) 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 31 ways as a sum of consecutive naturals, for example, 76899600 + ... + 77048238.

It is an arithmetic number, because the mean of its divisors is an integer number (522191940480).

Almost surely, 211441326346241 is an apocalyptic number.

11441326346241 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11441326346241 is a deficient number, since it is larger than the sum of its proper divisors (5268815749119).

11441326346241 is a wasteful number, since it uses less digits than its factorization.

11441326346241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158197.

The product of its digits is 331776, while the sum is 42.

The spelling of 11441326346241 in words is "eleven trillion, four hundred forty-one billion, three hundred twenty-six million, three hundred forty-six thousand, two hundred forty-one".

Divisors: 1 3 11 33 251 753 2761 8283 9293 27879 102223 148639 306669 445917 1635029 2332543 4905087 6997629 25657973 37308389 76973919 111925167 410392279 1231176837 1381302227 4143906681 15194324497 45582973491 346706858977 1040120576931 3813775448747 11441326346241