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4114422331 = 173172710739
BaseRepresentation
bin1111010100111101…
…0001101000111011
3101121202000022101021
43311033101220323
531411243003311
61520134203311
7203650004245
oct36517215073
911552008337
104114422331
111821536438
12969ab3537
13507544936
142b061b095
15191328171
hexf53d1a3b

4114422331 has 16 divisors (see below), whose sum is σ = 4503582720. Its totient is φ = 3741978240.

The previous prime is 4114422313. The next prime is 4114422341. The reversal of 4114422331 is 1332244114.

It is a cyclic number.

It is not a de Polignac number, because 4114422331 - 219 = 4113898043 is a prime.

It is a super-2 number, since 2×41144223312 = 33856942235662947122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4114422296 and 4114422305.

It is not an unprimeable number, because it can be changed into a prime (4114422341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377760 + ... + 388498.

It is an arithmetic number, because the mean of its divisors is an integer number (281473920).

Almost surely, 24114422331 is an apocalyptic number.

4114422331 is a deficient number, since it is larger than the sum of its proper divisors (389160389).

4114422331 is a wasteful number, since it uses less digits than its factorization.

4114422331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11514.

The product of its digits is 2304, while the sum is 25.

The square root of 4114422331 is about 64143.7629937627. The cubic root of 4114422331 is about 1602.3951537506.

Adding to 4114422331 its reverse (1332244114), we get a palindrome (5446666445).

The spelling of 4114422331 in words is "four billion, one hundred fourteen million, four hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 17 31 527 727 10739 12359 22537 182563 332909 383129 5659453 7807253 132723301 242024843 4114422331