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430443140224 = 2725713084969
BaseRepresentation
bin1100100001110000110…
…10010001010010000000
31112011001022201010110211
412100320122101102000
524023021420441344
6525424242203504
743045532215606
oct6207032212200
91464038633424
10430443140224
11156605a27219
126b50a653594
133178a76a996
1416b95401876
15b2e43a8334
hex6438691480

430443140224 has 32 divisors (see below), whose sum is σ = 860860176300. Its totient is φ = 214384115712.

The previous prime is 430443140219. The next prime is 430443140233. The reversal of 430443140224 is 422041344034.

It can be written as a sum of positive squares in 2 ways, for example, as 332744385600 + 97698754624 = 576840^2 + 312568^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 6509589 + ... + 6575380.

Almost surely, 2430443140224 is an apocalyptic number.

It is an amenable number.

430443140224 is a deficient number, since it is larger than the sum of its proper divisors (430417036076).

430443140224 is a wasteful number, since it uses less digits than its factorization.

430443140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13085240 (or 13085228 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 430443140224 its reverse (422041344034), we get a palindrome (852484484258).

The spelling of 430443140224 in words is "four hundred thirty billion, four hundred forty-three million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 257 514 1028 2056 4112 8224 16448 32896 13084969 26169938 52339876 104679752 209359504 418719008 837438016 1674876032 3362837033 6725674066 13451348132 26902696264 53805392528 107610785056 215221570112 430443140224