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432430314112 = 274182399069
BaseRepresentation
bin1100100101011101101…
…10101111001010000000
31112100011210221000120201
412102232312233022000
524041104130022422
6530353350214544
743146012010516
oct6225666571200
91470153830521
10432430314112
11157435703395
126b984054454
1331a16374014
1416d032bc4b6
15b3ada85727
hex64aedaf280

432430314112 has 32 divisors (see below), whose sum is σ = 882494039700. Its totient is φ = 210941614080.

The previous prime is 432430314103. The next prime is 432430314137. The reversal of 432430314112 is 211413034234.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 424864097856 + 7566216256 = 651816^2 + 86984^2 .

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 (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41194287 + ... + 41204782.

Almost surely, 2432430314112 is an apocalyptic number.

It is an amenable number.

432430314112 is an abundant number, since it is smaller than the sum of its proper divisors (450063725588).

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

432430314112 is an equidigital number, since it uses as much as digits as its factorization.

432430314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82399124 (or 82399112 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 432430314112 its reverse (211413034234), we get a palindrome (643843348346).

The spelling of 432430314112 in words is "four hundred thirty-two billion, four hundred thirty million, three hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 82399069 164798138 329596276 659192552 1318385104 2636770208 3378361829 5273540416 6756723658 10547080832 13513447316 27026894632 54053789264 108107578528 216215157056 432430314112