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424132332041 = 112915118014889
BaseRepresentation
bin1100010110000000100…
…00011100101000001001
31111112202111210212010102
412023000100130220021
523422110334111131
6522502123455145
742433252224125
oct6130020345011
91445674725112
10424132332041
1115396770a670
126a2490874b5
1330cc318b762
1416757208585
15b0753291cb
hex62c041ca09

424132332041 has 32 divisors (see below), whose sum is σ = 482180601600. Its totient is φ = 369532800000.

The previous prime is 424132332031. The next prime is 424132332047. The reversal of 424132332041 is 140233231424.

It is a cyclic number.

It is not a de Polignac number, because 424132332041 - 26 = 424132331977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

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 = 424132331995 and 424132332013.

It is not an unprimeable number, because it can be changed into a prime (424132332047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86749925 + ... + 86754813.

It is an arithmetic number, because the mean of its divisors is an integer number (15068143800).

Almost surely, 2424132332041 is an apocalyptic number.

It is an amenable number.

424132332041 is a deficient number, since it is larger than the sum of its proper divisors (58048269559).

424132332041 is a wasteful number, since it uses less digits than its factorization.

424132332041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6881.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 424132332041 its reverse (140233231424), we get a palindrome (564365563465).

The spelling of 424132332041 in words is "four hundred twenty-four billion, one hundred thirty-two million, three hundred thirty-two thousand, forty-one".

Divisors: 1 11 29 151 319 1661 1801 4379 4889 19811 48169 52229 53779 141781 271951 574519 738239 1559591 2991461 7886579 8120629 8805089 21408931 86752369 96855979 235498241 255347581 1329568439 2808823391 14625252829 38557484731 424132332041