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409141436041 = 13124925198093
BaseRepresentation
bin1011111010000101011…
…10101101111010001001
31110010001202210102210001
411331002232231322021
523200410201423131
6511542412523001
741362622553022
oct5750256557211
91403052712701
10409141436041
11148574746618
1267364780461
132c7744ac4b0
1415b342b3c49
15a999212261
hex5f42bade89

409141436041 has 8 divisors (see below), whose sum is σ = 440966645000. Its totient is φ = 377366625792.

The previous prime is 409141436017. The next prime is 409141436051. The reversal of 409141436041 is 140634141904.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 77821471225 + 331319964816 = 278965^2 + 575604^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 409141436041 - 29 = 409141435529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (409141436051) 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, 12582810 + ... + 12615283.

It is an arithmetic number, because the mean of its divisors is an integer number (55120830625).

Almost surely, 2409141436041 is an apocalyptic number.

It is an amenable number.

409141436041 is a deficient number, since it is larger than the sum of its proper divisors (31825208959).

409141436041 is a wasteful number, since it uses less digits than its factorization.

409141436041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25199355.

The product of its (nonzero) digits is 41472, while the sum is 37.

Adding to 409141436041 its reverse (140634141904), we get a palindrome (549775577945).

The spelling of 409141436041 in words is "four hundred nine billion, one hundred forty-one million, four hundred thirty-six thousand, forty-one".

Divisors: 1 13 1249 16237 25198093 327575209 31472418157 409141436041