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431332043441 = 13325710187101
BaseRepresentation
bin1100100011011010110…
…01001010101010110001
31112020100021100002110012
412101231121022222301
524031332000342231
6530052354344305
743106544606305
oct6215531125261
91466307302405
10431332043441
11156a2176a382
126b71828b095
133189c97a510
1416c3b4add05
15b347441e2b
hex646d64aab1

431332043441 has 8 divisors (see below), whose sum is σ = 464654096424. Its totient is φ = 398030371200.

The previous prime is 431332043411. The next prime is 431332043521. The reversal of 431332043441 is 144340233134.

It can be written as a sum of positive squares in 4 ways, for example, as 58719467041 + 372612576400 = 242321^2 + 610420^2 .

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 431332043441 - 226 = 431264934577 is a prime.

It is a super-2 number, since 2×4313320434412 (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 = 431332043398 and 431332043407.

It is not an unprimeable number, because it can be changed into a prime (431332043411) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5051210 + ... + 5135891.

It is an arithmetic number, because the mean of its divisors is an integer number (58081762053).

Almost surely, 2431332043441 is an apocalyptic number.

It is an amenable number.

431332043441 is a deficient number, since it is larger than the sum of its proper divisors (33322052983).

431332043441 is a wasteful number, since it uses less digits than its factorization.

431332043441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10190371.

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 431332043441 its reverse (144340233134), we get a palindrome (575672276575).

The spelling of 431332043441 in words is "four hundred thirty-one billion, three hundred thirty-two million, forty-three thousand, four hundred forty-one".

Divisors: 1 13 3257 42341 10187101 132432313 33179387957 431332043441