Search a number
-
+
414169437509 = 8322728178229
BaseRepresentation
bin1100000011011100110…
…11000001010101000101
31110121001011212101010122
412001232123001111011
523241204334000014
6514133344231325
741631335063312
oct6015633012505
91417034771118
10414169437509
1114a714939533
126832860b545
13300960934a9
141608dd83d09
15ab9084a58e
hex606e6c1545

414169437509 has 16 divisors (see below), whose sum is σ = 422509590720. Its totient is φ = 405921962880.

The previous prime is 414169437503. The next prime is 414169437529. The reversal of 414169437509 is 905734961414.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 414169437509 - 236 = 345449960773 is a prime.

It is a super-2 number, since 2×4141694375092 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414169437503) 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 15 ways as a sum of consecutive naturals, for example, 5255207 + ... + 5333435.

It is an arithmetic number, because the mean of its divisors is an integer number (26406849420).

Almost surely, 2414169437509 is an apocalyptic number.

It is an amenable number.

414169437509 is a deficient number, since it is larger than the sum of its proper divisors (8340153211).

414169437509 is a wasteful number, since it uses less digits than its factorization.

414169437509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78820.

The product of its (nonzero) digits is 3265920, while the sum is 53.

The spelling of 414169437509 in words is "four hundred fourteen billion, one hundred sixty-nine million, four hundred thirty-seven thousand, five hundred nine".

Divisors: 1 83 227 281 18841 23323 63787 78229 5294321 6493007 17757983 21982349 1473912589 1824534967 4989993223 414169437509