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81414441 = 3289101641
BaseRepresentation
bin1001101101001…
…00100100101001
312200012021121200
410312210210221
5131320230231
612024554413
72006003613
oct466444451
9180167550
1081414441
1141a57969
1223322a09
1313b37134
14ab53db3
157232be6
hex4da4929

81414441 has 12 divisors (see below), whose sum is σ = 118921140. Its totient is φ = 53665920.

The previous prime is 81414433. The next prime is 81414461. The reversal of 81414441 is 14441418.

It can be written as a sum of positive squares in 2 ways, for example, as 7952400 + 73462041 = 2820^2 + 8571^2 .

It is not a de Polignac number, because 81414441 - 23 = 81414433 is a prime.

It is a super-2 number, since 2×814144412 = 13256622406684962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81414461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50020 + ... + 51621.

It is an arithmetic number, because the mean of its divisors is an integer number (9910095).

Almost surely, 281414441 is an apocalyptic number.

It is an amenable number.

81414441 is a deficient number, since it is larger than the sum of its proper divisors (37506699).

81414441 is a wasteful number, since it uses less digits than its factorization.

81414441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101736 (or 101733 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 81414441 is about 9022.9951235718. The cubic root of 81414441 is about 433.4115511009.

Adding to 81414441 its reverse (14441418), we get a palindrome (95855859).

The spelling of 81414441 in words is "eighty-one million, four hundred fourteen thousand, four hundred forty-one".

Divisors: 1 3 9 89 267 801 101641 304923 914769 9046049 27138147 81414441