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430112414041 = 6112775521553
BaseRepresentation
bin1100100001001001011…
…00101001100101011001
31112010012021101111102221
412100210230221211121
524021332234222131
6525331345424041
743034405124412
oct6204454514531
91463167344387
10430112414041
111564562767a2
126b43793b021
13317370a250b
1416b63510809
15b2c532a411
hex6424b29959

430112414041 has 8 divisors (see below), whose sum is σ = 437505852744. Its totient is φ = 422730021120.

The previous prime is 430112414027. The next prime is 430112414057. The reversal of 430112414041 is 140414211034.

It can be written as a sum of positive squares in 4 ways, for example, as 5217028441 + 424895385600 = 72229^2 + 651840^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-430112414041 is a prime.

It is a super-2 number, since 2×4301124140412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 430112413997 and 430112414015.

It is not an unprimeable number, because it can be changed into a prime (430112417041) 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 7 ways as a sum of consecutive naturals, for example, 2682880 + ... + 2838673.

It is an arithmetic number, because the mean of its divisors is an integer number (54688231593).

Almost surely, 2430112414041 is an apocalyptic number.

It is an amenable number.

430112414041 is a deficient number, since it is larger than the sum of its proper divisors (7393438703).

430112414041 is a wasteful number, since it uses less digits than its factorization.

430112414041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5522891.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 430112414041 its reverse (140414211034), we get a palindrome (570526625075).

The spelling of 430112414041 in words is "four hundred thirty billion, one hundred twelve million, four hundred fourteen thousand, forty-one".

Divisors: 1 61 1277 77897 5521553 336814733 7051023181 430112414041