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541111417 = 71131226691
BaseRepresentation
bin100000010000001…
…011010001111001
31101201012022022121
4200100023101321
52102011031132
6125405521241
716260241210
oct4020132171
91351168277
10541111417
11258497020
12131273221
138814a792
1451c18077
1532789497
hex2040b479

541111417 has 16 divisors (see below), whose sum is σ = 696397824. Its totient is φ = 408042000.

The previous prime is 541111381. The next prime is 541111429. The reversal of 541111417 is 714111145.

It is a cyclic number.

It is not a de Polignac number, because 541111417 - 27 = 541111289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 541111391 and 541111400.

It is not an unprimeable number, because it can be changed into a prime (541111457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110959 + ... + 115732.

It is an arithmetic number, because the mean of its divisors is an integer number (43524864).

Almost surely, 2541111417 is an apocalyptic number.

It is an amenable number.

541111417 is a deficient number, since it is larger than the sum of its proper divisors (155286407).

541111417 is a wasteful number, since it uses less digits than its factorization.

541111417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226740.

The product of its digits is 560, while the sum is 25.

The square root of 541111417 is about 23261.8016714097. The cubic root of 541111417 is about 814.8835780355.

The spelling of 541111417 in words is "five hundred forty-one million, one hundred eleven thousand, four hundred seventeen".

Divisors: 1 7 11 31 77 217 341 2387 226691 1586837 2493601 7027421 17455207 49191947 77301631 541111417