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432442032133 = 10732211254739
BaseRepresentation
bin1100100101011111000…
…11011100000000000101
31112100012121222100200111
412102233203130000011
524041120130012013
6530354445313021
743146213424036
oct6225743340005
91470177870614
10432442032133
11157441287301
126b987b65771
1331a18917867
1416d04a8ca8d
15b3aeaec73d
hex64af8dc005

432442032133 has 8 divisors (see below), whose sum is σ = 436619406240. Its totient is φ = 428267174160.

The previous prime is 432442032131. The next prime is 432442032151. The reversal of 432442032133 is 331230244234.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 432442032133 - 21 = 432442032131 is a prime.

It is a super-2 number, since 2×4324420321332 (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 = 432442032095 and 432442032104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432442032131) 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, 282723 + ... + 972016.

It is an arithmetic number, because the mean of its divisors is an integer number (54577425780).

Almost surely, 2432442032133 is an apocalyptic number.

It is an amenable number.

432442032133 is a deficient number, since it is larger than the sum of its proper divisors (4177374107).

432442032133 is a wasteful number, since it uses less digits than its factorization.

432442032133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258067.

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 432442032133 its reverse (331230244234), we get a palindrome (763672276367).

The spelling of 432442032133 in words is "four hundred thirty-two billion, four hundred forty-two million, thirty-two thousand, one hundred thirty-three".

Divisors: 1 107 3221 344647 1254739 134257073 4041514319 432442032133