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414145310141 is a prime number
BaseRepresentation
bin1100000011011001111…
…10111110110110111101
31110120222111110120121102
412001230332332312331
523241132144411031
6514131123142445
741630623024163
oct6015476766675
91416874416542
10414145310141
1114a70225a262
1268320514a25
1330091096544
141608aaa3233
15ab8d6817cb
hex606cfbedbd

414145310141 has 2 divisors, whose sum is σ = 414145310142. Its totient is φ = 414145310140.

The previous prime is 414145310101. The next prime is 414145310149. The reversal of 414145310141 is 141013541414.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 397598346916 + 16546963225 = 630554^2 + 128635^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-414145310141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414145310149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207072655070 + 207072655071.

It is an arithmetic number, because the mean of its divisors is an integer number (207072655071).

Almost surely, 2414145310141 is an apocalyptic number.

It is an amenable number.

414145310141 is a deficient number, since it is larger than the sum of its proper divisors (1).

414145310141 is an equidigital number, since it uses as much as digits as its factorization.

414145310141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 29.

Adding to 414145310141 its reverse (141013541414), we get a palindrome (555158851555).

The spelling of 414145310141 in words is "four hundred fourteen billion, one hundred forty-five million, three hundred ten thousand, one hundred forty-one".