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2414884142 = 211619717713
BaseRepresentation
bin1000111111110000…
…0011010100101110
320020022000211021102
42033330003110232
514421202243032
61035343203102
7113562114356
oct21774032456
96208024242
102414884142
11102a159220
125748a6492
132c63ca638
1418ca15b66
15e2016362
hex8ff0352e

2414884142 has 16 divisors (see below), whose sum is σ = 3952489392. Its totient is φ = 1097435520.

The previous prime is 2414884141. The next prime is 2414884181.

2414884142 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 2414884096 and 2414884105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414884141) 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, 127478 + ... + 145190.

It is an arithmetic number, because the mean of its divisors is an integer number (247030587).

Almost surely, 22414884142 is an apocalyptic number.

2414884142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2414884142 is a deficient number, since it is larger than the sum of its proper divisors (1537605250).

2414884142 is a wasteful number, since it uses less digits than its factorization.

2414884142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23923.

The product of its digits is 65536, while the sum is 38.

The square root of 2414884142 is about 49141.4706943128. The cubic root of 2414884142 is about 1341.6279579143.

The spelling of 2414884142 in words is "two billion, four hundred fourteen million, eight hundred eighty-four thousand, one hundred forty-two".

Divisors: 1 2 11 22 6197 12394 17713 35426 68167 136334 194843 389686 109767461 219534922 1207442071 2414884142