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4109190444 = 2232629918121
BaseRepresentation
bin1111010011101101…
…0100010100101100
3101121101011111120200
43310323110110230
531403423043234
61515430113500
7203554354032
oct36473242454
911541144520
104109190444
111819592667
129681ab890
13506432448
142ada58552
15190b42d99
hexf4ed452c

4109190444 has 36 divisors (see below), whose sum is σ = 10389342600. Its totient is φ = 1369437120.

The previous prime is 4109190383. The next prime is 4109190487. The reversal of 4109190444 is 4440919014.

4109190444 is a `hidden beast` number, since 41 + 0 + 91 + 90 + 444 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×41091904442 = 33770892210121834272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4109190399 and 4109190408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217704 + ... + 235824.

It is an arithmetic number, because the mean of its divisors is an integer number (288592850).

Almost surely, 24109190444 is an apocalyptic number.

It is an amenable number.

4109190444 is an abundant number, since it is smaller than the sum of its proper divisors (6280152156).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4109190444 is a wasteful number, since it uses less digits than its factorization.

4109190444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24430 (or 24425 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4109190444 is about 64102.9675132127. The cubic root of 4109190444 is about 1601.7156653793.

The spelling of 4109190444 in words is "four billion, one hundred nine million, one hundred ninety thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 6299 12598 18121 18897 25196 36242 37794 54363 56691 72484 75588 108726 113382 163089 217452 226764 326178 652356 114144179 228288358 342432537 456576716 684865074 1027297611 1369730148 2054595222 4109190444