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414949414 = 21121714667
BaseRepresentation
bin11000101110111…
…010000000100110
31001220210121120211
4120232322000212
51322211340124
6105101450034
713166004025
oct3056720046
91056717524
10414949414
111a3256700
12b6b7091a
1367c76bc9
143d1768bc
1526667e94
hex18bba026

414949414 has 12 divisors (see below), whose sum is σ = 684152532. Its totient is φ = 188613260.

The previous prime is 414949411. The next prime is 414949439.

414949414 is nontrivially palindromic in base 10.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414949411) 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 5 ways as a sum of consecutive naturals, for example, 857092 + ... + 857575.

It is an arithmetic number, because the mean of its divisors is an integer number (57012711).

Almost surely, 2414949414 is an apocalyptic number.

414949414 is a deficient number, since it is larger than the sum of its proper divisors (269203118).

414949414 is a wasteful number, since it uses less digits than its factorization.

414949414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714691 (or 1714680 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 414949414 is about 20370.3071650871. The cubic root of 414949414 is about 745.8732843062.

The spelling of 414949414 in words is "four hundred fourteen million, nine hundred forty-nine thousand, four hundred fourteen".

Divisors: 1 2 11 22 121 242 1714667 3429334 18861337 37722674 207474707 414949414