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4104224014 = 21117292271667
BaseRepresentation
bin1111010010100001…
…0111110100001110
3101121000211011220211
43310220113310032
531401140132024
61515131433034
7203464220452
oct36450276416
911530734824
104104224014
111816800280
129665b577a
135053b3a27
142ad124662
151904b1594
hexf4a17d0e

4104224014 has 64 divisors (see below), whose sum is σ = 7393109760. Its totient is φ = 1686791680.

The previous prime is 4104224011. The next prime is 4104224023.

4104224014 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4104224011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2461209 + ... + 2462875.

It is an arithmetic number, because the mean of its divisors is an integer number (115517340).

Almost surely, 24104224014 is an apocalyptic number.

4104224014 is a deficient number, since it is larger than the sum of its proper divisors (3288885746).

4104224014 is a wasteful number, since it uses less digits than its factorization.

4104224014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953.

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4104224014 is about 64064.2178911130. The cubic root of 4104224014 is about 1601.0701192746.

It can be divided in two parts, 41042 and 24014, that added together give a palindrome (65056).

The spelling of 4104224014 in words is "four billion, one hundred four million, two hundred twenty-four thousand, fourteen".

Divisors: 1 2 11 17 22 29 34 58 187 227 319 374 454 493 638 986 1667 2497 3334 3859 4994 5423 6583 7718 10846 13166 18337 28339 36674 42449 48343 56678 72413 84898 96686 111911 144826 223822 311729 378409 531773 623458 756818 821831 1063546 1231021 1643662 2462042 4162499 6432953 8324998 9040141 10973861 12865906 18080282 21947722 70762483 120712471 141524966 186555637 241424942 373111274 2052112007 4104224014