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4141331441 = 132931087249
BaseRepresentation
bin1111011011010111…
…1011001111110001
3101200121122102201222
43312311323033301
531440140101231
61522535034425
7204424510412
oct36665731761
911617572658
104141331441
111835745675
12976b0ba15
1350cca6aa0
142b4023809
1519389127b
hexf6d7b3f1

4141331441 has 8 divisors (see below), whose sum is σ = 4475121000. Its totient is φ = 3809716992.

The previous prime is 4141331423. The next prime is 4141331459. The reversal of 4141331441 is 1441331414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4141331423) and next prime (4141331459).

It can be written as a sum of positive squares in 4 ways, for example, as 831745600 + 3309585841 = 28840^2 + 57529^2 .

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 4141331441 - 26 = 4141331377 is a prime.

It is a super-2 number, since 2×41413314412 = 34301252208430272962, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4141331441.

It is not an unprimeable number, because it can be changed into a prime (4141331041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 539816 + ... + 547433.

It is an arithmetic number, because the mean of its divisors is an integer number (559390125).

Almost surely, 24141331441 is an apocalyptic number.

It is an amenable number.

4141331441 is a deficient number, since it is larger than the sum of its proper divisors (333789559).

4141331441 is a wasteful number, since it uses less digits than its factorization.

4141331441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087555.

The product of its digits is 2304, while the sum is 26.

The square root of 4141331441 is about 64353.1773963027. The cubic root of 4141331441 is about 1605.8808893599.

Adding to 4141331441 its reverse (1441331414), we get a palindrome (5582662855).

The spelling of 4141331441 in words is "four billion, one hundred forty-one million, three hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 13 293 3809 1087249 14134237 318563957 4141331441