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2414288413 is a prime number
BaseRepresentation
bin1000111111100111…
…0001111000011101
320020020220120002101
42033321301320131
514421024212123
61035322325101
7113554053505
oct21771617035
96206816071
102414288413
111029891689
12574659791
132c624c434
1418c8dca05
15e1e49aad
hex8fe71e1d

2414288413 has 2 divisors, whose sum is σ = 2414288414. Its totient is φ = 2414288412.

The previous prime is 2414288411. The next prime is 2414288417. The reversal of 2414288413 is 3148824142.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2406687364 + 7601049 = 49058^2 + 2757^2 .

It is a cyclic number.

It is not a de Polignac number, because 2414288413 - 21 = 2414288411 is a prime.

It is a super-2 number, since 2×24142884132 = 11657577082292117138, which contains 22 as substring.

Together with 2414288411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2414288411) 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 as a sum of consecutive naturals, namely, 1207144206 + 1207144207.

It is an arithmetic number, because the mean of its divisors is an integer number (1207144207).

Almost surely, 22414288413 is an apocalyptic number.

It is an amenable number.

2414288413 is a deficient number, since it is larger than the sum of its proper divisors (1).

2414288413 is an equidigital number, since it uses as much as digits as its factorization.

2414288413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 49152, while the sum is 37.

The square root of 2414288413 is about 49135.4089532182. The cubic root of 2414288413 is about 1341.5176265463.

The spelling of 2414288413 in words is "two billion, four hundred fourteen million, two hundred eighty-eight thousand, four hundred thirteen".