Search a number
-
+
4388165145 = 335713357197
BaseRepresentation
bin1000001011000111…
…00001011000011001
3102022211002212221000
410011203201120121
532441332241040
62003233335213
7213512534250
oct40543413031
912284085830
104388165145
111952006471
12a25707509
1354c17b230
142d8b17797
151aa39c130
hex1058e1619

4388165145 has 64 divisors (see below), whose sum is σ = 9601482240. Its totient is φ = 1851704064.

The previous prime is 4388165141. The next prime is 4388165149. The reversal of 4388165145 is 5415618834.

4388165145 is a `hidden beast` number, since 43 + 88 + 16 + 514 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (4388165141) and next prime (4388165149).

It is not a de Polignac number, because 4388165145 - 22 = 4388165141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4388165145.

It is not an unprimeable number, because it can be changed into a prime (4388165141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 166314 + ... + 190883.

It is an arithmetic number, because the mean of its divisors is an integer number (150023160).

Almost surely, 24388165145 is an apocalyptic number.

4388165145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4388165145 is an abundant number, since it is smaller than the sum of its proper divisors (5213317095).

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

4388165145 is a wasteful number, since it uses less digits than its factorization.

4388165145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357231 (or 357225 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 4388165145 is about 66243.2271632353. The cubic root of 4388165145 is about 1637.1720479920.

The spelling of 4388165145 in words is "four billion, three hundred eighty-eight million, one hundred sixty-five thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 819 945 1365 1755 2457 4095 12285 357197 1071591 1785985 2500379 3214773 4643561 5357955 7501137 9644319 12501895 13930683 16073865 22503411 23217805 32504927 37505685 41792049 48221595 67510233 69653415 97514781 112517055 125376147 162524635 208960245 292544343 337551165 487573905 626880735 877633029 1462721715 4388165145