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414704141141 is a prime number
BaseRepresentation
bin1100000100011100100…
…10110000001101010101
31110122102110000010121212
412002032102300031111
523243303230004031
6514302404551205
741650520016113
oct6021622601525
91418373003555
10414704141141
1114a969749264
12684576b2505
133014caa9484
1416100db0ab3
15abc276b12b
hex608e4b0355

414704141141 has 2 divisors, whose sum is σ = 414704141142. Its totient is φ = 414704141140.

The previous prime is 414704140987. The next prime is 414704141143. The reversal of 414704141141 is 141141407414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 293910358225 + 120793782916 = 542135^2 + 347554^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-414704141141 is a prime.

Together with 414704141143, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 414704141098 and 414704141107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414704141143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207352070570 + 207352070571.

It is an arithmetic number, because the mean of its divisors is an integer number (207352070571).

Almost surely, 2414704141141 is an apocalyptic number.

It is an amenable number.

414704141141 is a deficient number, since it is larger than the sum of its proper divisors (1).

414704141141 is an equidigital number, since it uses as much as digits as its factorization.

414704141141 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7168, while the sum is 32.

Adding to 414704141141 its reverse (141141407414), we get a palindrome (555845548555).

The spelling of 414704141141 in words is "four hundred fourteen billion, seven hundred four million, one hundred forty-one thousand, one hundred forty-one".