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441362056266101 = 8918217272225077
BaseRepresentation
bin110010001011010101001110…
…0100101001100000101110101
32010212201210121120100112020102
41210112222130211030011311
5430322233442401003401
64202410532440043445
7161652233126153255
oct14426523445140565
92125653546315212
10441362056266101
111186a4662528093
1241602b0b763585
1315c37356684719
147adc074ca5965
153605c8ec9c56b
hex1916a9c94c175

441362056266101 has 8 divisors (see below), whose sum is σ = 446345682390360. Its totient is φ = 436378974628608.

The previous prime is 441362056266067. The next prime is 441362056266113. The reversal of 441362056266101 is 101662650263144.

It can be written as a sum of positive squares in 4 ways, for example, as 16571200959076 + 424790855307025 = 4070774^2 + 20610455^2 .

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 441362056266101 - 246 = 370993312088437 is a prime.

It is a super-2 number, since 2×4413620562661012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441362056266151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134491226 + ... + 137733851.

It is an arithmetic number, because the mean of its divisors is an integer number (55793210298795).

Almost surely, 2441362056266101 is an apocalyptic number.

It is an amenable number.

441362056266101 is a deficient number, since it is larger than the sum of its proper divisors (4983626124259).

441362056266101 is a wasteful number, since it uses less digits than its factorization.

441362056266101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272243383.

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 441362056266101 in words is "four hundred forty-one trillion, three hundred sixty-two billion, fifty-six million, two hundred sixty-six thousand, one hundred one".

Divisors: 1 89 18217 1621313 272225077 24228031853 4959124227709 441362056266101