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432131422144 = 2641164684231
BaseRepresentation
bin1100100100111010000…
…10100011011111000000
31112022101222111201212211
412102131002203133000
524040001121002034
6530303552031504
743135422324412
oct6223502433700
91468358451784
10432131422144
111572a1a16434
126b8bbb32594
1331999473676
1416cb57169b2
15b3926e4d64
hex649d0a37c0

432131422144 has 28 divisors (see below), whose sum is σ = 878425693488. Its totient is φ = 210795814400.

The previous prime is 432131422141. The next prime is 432131422153. The reversal of 432131422144 is 441224131234.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432131422141) 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 3 ways as a sum of consecutive naturals, for example, 82339492 + ... + 82344739.

It is an arithmetic number, because the mean of its divisors is an integer number (31372346196).

Almost surely, 2432131422144 is an apocalyptic number.

It is an amenable number.

432131422144 is an abundant number, since it is smaller than the sum of its proper divisors (446294271344).

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

432131422144 is a wasteful number, since it uses less digits than its factorization.

432131422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164684284 (or 164684274 counting only the distinct ones).

The product of its digits is 18432, while the sum is 31.

Adding to 432131422144 its reverse (441224131234), we get a palindrome (873355553378).

The spelling of 432131422144 in words is "four hundred thirty-two billion, one hundred thirty-one million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 656 1312 2624 164684231 329368462 658736924 1317473848 2634947696 5269895392 6752053471 10539790784 13504106942 27008213884 54016427768 108032855536 216065711072 432131422144