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2430420041 = 7266737433
BaseRepresentation
bin1001000011011101…
…0100010001001001
320021101021010112002
42100313110101021
514434141420131
61041100200345
7114141141500
oct22067242111
96241233462
102430420041
1110379aa605
12579b390b5
132c96a9b8a
14190adb837
15e35846cb
hex90dd4449

2430420041 has 12 divisors (see below), whose sum is σ = 2828027412. Its totient is φ = 2082624768.

The previous prime is 2430420029. The next prime is 2430420053. The reversal of 2430420041 is 1400240342.

It is an interprime number because it is at equal distance from previous prime (2430420029) and next prime (2430420053).

It can be written as a sum of positive squares in 2 ways, for example, as 114404416 + 2316015625 = 10696^2 + 48125^2 .

It is not a de Polignac number, because 2430420041 - 226 = 2363311177 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2430419995 and 2430420022.

It is not an unprimeable number, because it can be changed into a prime (2430420001) 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 11 ways as a sum of consecutive naturals, for example, 323261 + ... + 330693.

It is an arithmetic number, because the mean of its divisors is an integer number (235668951).

Almost surely, 22430420041 is an apocalyptic number.

It is an amenable number.

2430420041 is a deficient number, since it is larger than the sum of its proper divisors (397607371).

2430420041 is an equidigital number, since it uses as much as digits as its factorization.

2430420041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14120 (or 14113 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2430420041 is about 49299.2904715676. The cubic root of 2430420041 is about 1344.4988834438.

Adding to 2430420041 its reverse (1400240342), we get a palindrome (3830660383).

The spelling of 2430420041 in words is "two billion, four hundred thirty million, four hundred twenty thousand, forty-one".

Divisors: 1 7 49 6673 7433 46711 52031 326977 364217 49600409 347202863 2430420041