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443141313422431 = 1353766038396093
BaseRepresentation
bin110010011000010001110000…
…0100100100110010001011111
32011010000220012001121001111211
41210300203200210212101133
5431040411402214004211
64210252150423525251
7162224621565355411
oct14460434044462137
92133026161531454
10443141313422431
111192201a2836268
124184b9092b9827
131603607b361920
147b602228609b1
1536371c8752e21
hex19308e092645f

443141313422431 has 16 divisors (see below), whose sum is σ = 486239834890656. Its totient is φ = 401330242175616.

The previous prime is 443141313422413. The next prime is 443141313422447. The reversal of 443141313422431 is 134224313141344.

It is not a de Polignac number, because 443141313422431 - 27 = 443141313422303 is a prime.

It is a super-3 number, since 3×4431413134224313 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443141313422411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48581421 + ... + 56977513.

It is an arithmetic number, because the mean of its divisors is an integer number (30389989680666).

Almost surely, 2443141313422431 is an apocalyptic number.

443141313422431 is a deficient number, since it is larger than the sum of its proper divisors (43098521468225).

443141313422431 is a wasteful number, since it uses less digits than its factorization.

443141313422431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8472762.

The product of its digits is 331776, while the sum is 40.

Adding to 443141313422431 its reverse (134224313141344), we get a palindrome (577365626563775).

The spelling of 443141313422431 in words is "four hundred forty-three trillion, one hundred forty-one billion, three hundred thirteen million, four hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 13 53 689 76603 995839 4059959 8396093 52779467 109149209 444992929 5784908077 643165912079 8361156857027 34087793340187 443141313422431