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424412403041 = 11217805325621
BaseRepresentation
bin1100010110100001111…
…00110101010101100001
31111120111000210221022102
412023100330311111201
523423144033344131
6522550010420145
742443222621504
oct6132074652541
91446430727272
10424412403041
11153aa0812100
126a306a31655
13310391cc543
14167824b113b
15b08ebed1cb
hex62d0f35561

424412403041 has 24 divisors (see below), whose sum is σ = 494024853672. Its totient is φ = 363074342400.

The previous prime is 424412403031. The next prime is 424412403053. The reversal of 424412403041 is 140304214424.

It can be written as a sum of positive squares in 4 ways, for example, as 101480473600 + 322931929441 = 318560^2 + 568271^2 .

It is not a de Polignac number, because 424412403041 - 26 = 424412402977 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 424412402995 and 424412403013.

It is not an unprimeable number, because it can be changed into a prime (424412403031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16552211 + ... + 16577831.

It is an arithmetic number, because the mean of its divisors is an integer number (20584368903).

Almost surely, 2424412403041 is an apocalyptic number.

It is an amenable number.

424412403041 is a deficient number, since it is larger than the sum of its proper divisors (69612450631).

424412403041 is a wasteful number, since it uses less digits than its factorization.

424412403041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33713 (or 33702 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 424412403041 its reverse (140304214424), we get a palindrome (564716617465).

The spelling of 424412403041 in words is "four hundred twenty-four billion, four hundred twelve million, four hundred three thousand, forty-one".

Divisors: 1 11 17 121 187 2057 8053 25621 88583 136901 281831 435557 974413 1505911 3100141 4791127 16565021 52702397 206325913 2269585043 3507540521 24965435473 38582945731 424412403041