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2414404413 = 321715780421
BaseRepresentation
bin1000111111101000…
…1110001100111101
320020021010110012200
42033322032030331
514421041420123
61035325022113
7113555045631
oct21772161475
96207113180
102414404413
111029960853
125746b4939
132c6290185
1418c92cdc1
15e1e6e143
hex8fe8e33d

2414404413 has 12 divisors (see below), whose sum is σ = 3692618748. Its totient is φ = 1514920320.

The previous prime is 2414404397. The next prime is 2414404427. The reversal of 2414404413 is 3144044142.

2414404413 is a `hidden beast` number, since 241 + 4 + 4 + 0 + 4 + 413 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1957000644 + 457403769 = 44238^2 + 21387^2 .

It is not a de Polignac number, because 2414404413 - 24 = 2414404397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414404813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7890058 + ... + 7890363.

It is an arithmetic number, because the mean of its divisors is an integer number (307718229).

Almost surely, 22414404413 is an apocalyptic number.

It is an amenable number.

2414404413 is a deficient number, since it is larger than the sum of its proper divisors (1278214335).

2414404413 is a wasteful number, since it uses less digits than its factorization.

2414404413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15780444 (or 15780441 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2414404413 is about 49136.5893505034. The cubic root of 2414404413 is about 1341.5391116281.

Adding to 2414404413 its reverse (3144044142), we get a palindrome (5558448555).

The spelling of 2414404413 in words is "two billion, four hundred fourteen million, four hundred four thousand, four hundred thirteen".

Divisors: 1 3 9 17 51 153 15780421 47341263 142023789 268267157 804801471 2414404413