Search a number
-
+
414314031 = 3313441229
BaseRepresentation
bin11000101100011…
…110111000101111
31001212121100000010
4120230132320233
51322031022111
6105040104303
713160416425
oct3054367057
91055540003
10414314031
111a296229a
12b6905093
1367ab3941
143d04d115
152658eaa6
hex18b1ee2f

414314031 has 8 divisors (see below), whose sum is σ = 554184880. Its totient is φ = 275326272.

The previous prime is 414314029. The next prime is 414314053. The reversal of 414314031 is 130413414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 414314031 - 21 = 414314029 is a prime.

It is a super-2 number, since 2×4143140312 = 343312232566937922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414313989 and 414314007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414314431) 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 7 ways as a sum of consecutive naturals, for example, 219676 + ... + 221553.

It is an arithmetic number, because the mean of its divisors is an integer number (69273110).

Almost surely, 2414314031 is an apocalyptic number.

414314031 is a deficient number, since it is larger than the sum of its proper divisors (139870849).

414314031 is a wasteful number, since it uses less digits than its factorization.

414314031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441545.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 414314031 is about 20354.7053773814. The cubic root of 414314031 is about 745.4923886387.

Adding to 414314031 its reverse (130413414), we get a palindrome (544727445).

The spelling of 414314031 in words is "four hundred fourteen million, three hundred fourteen thousand, thirty-one".

Divisors: 1 3 313 939 441229 1323687 138104677 414314031