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4113424125 = 325317375813
BaseRepresentation
bin1111010100101101…
…1101111011111101
3101121200010121002200
43311023131323331
531411014033000
61520100542113
7203635346106
oct36513357375
911550117080
104113424125
111820a14478
129696b1939
13507285495
142b043b3ad
151911cc500
hexf52ddefd

4113424125 has 96 divisors (see below), whose sum is σ = 8064901728. Its totient is φ = 2008627200.

The previous prime is 4113424109. The next prime is 4113424151. The reversal of 4113424125 is 5214243114.

4113424125 is a `hidden beast` number, since 4 + 113 + 424 + 125 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1026177156 + 3087246969 = 32034^2 + 55563^2 .

It is not a de Polignac number, because 4113424125 - 24 = 4113424109 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 704719 + ... + 710531.

It is an arithmetic number, because the mean of its divisors is an integer number (84009393).

Almost surely, 24113424125 is an apocalyptic number.

4113424125 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4113424125 is a deficient number, since it is larger than the sum of its proper divisors (3951477603).

4113424125 is a wasteful number, since it uses less digits than its factorization.

4113424125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888 (or 5875 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 4113424125 is about 64135.9815158387. The cubic root of 4113424125 is about 1602.2655567947.

Adding to 4113424125 its reverse (5214243114), we get a palindrome (9327667239).

The spelling of 4113424125 in words is "four billion, one hundred thirteen million, four hundred twenty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 37 45 51 75 85 111 125 153 185 225 255 333 375 425 555 629 765 925 1125 1275 1665 1887 2125 2775 3145 3825 4625 5661 5813 6375 8325 9435 13875 15725 17439 19125 28305 29065 41625 47175 52317 78625 87195 98821 141525 145325 215081 235875 261585 296463 435975 494105 645243 707625 726625 889389 1075405 1307925 1482315 1935729 2179875 2470525 3226215 3656377 4446945 5377025 6539625 7411575 9678645 10969131 12352625 16131075 18281885 22234725 26885125 32907393 37057875 48393225 54845655 80655375 91409425 111173625 164536965 241966125 274228275 457047125 822684825 1371141375 4113424125