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430334420144 = 24294612011811
BaseRepresentation
bin1100100001100011110…
…11100010010010110000
31112010202202010120120012
412100301323202102300
524022311102421034
6525405400034052
743043042134466
oct6206173422260
91463682116505
10430334420144
1115655a61a212
126b49a162928
1331771093085
1416b84bc0836
15b2d9a7ecce
hex6431ee24b0

430334420144 has 40 divisors (see below), whose sum is σ = 864395143920. Its totient is φ = 207296902400.

The previous prime is 430334420143. The next prime is 430334420167. The reversal of 430334420144 is 441024433034.

It is a self number, because there is not a number n which added to its sum of digits gives 430334420144.

It is not an unprimeable number, because it can be changed into a prime (430334420143) 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, 792002 + ... + 1219809.

It is an arithmetic number, because the mean of its divisors is an integer number (21609878598).

Almost surely, 2430334420144 is an apocalyptic number.

It is an amenable number.

430334420144 is an abundant number, since it is smaller than the sum of its proper divisors (434060723776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

430334420144 is a wasteful number, since it uses less digits than its factorization.

430334420144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012309 (or 2012303 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 430334420144 its reverse (441024433034), we get a palindrome (871358853178).

The spelling of 430334420144 in words is "four hundred thirty billion, three hundred thirty-four million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 58 116 232 461 464 922 1844 3688 7376 13369 26738 53476 106952 213904 2011811 4023622 8047244 16094488 32188976 58342519 116685038 233370076 466740152 927444871 933480304 1854889742 3709779484 7419558968 14839117936 26895901259 53791802518 107583605036 215167210072 430334420144