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414001143041 is a prime number
BaseRepresentation
bin1100000011001000110…
…01000001110100000001
31110120121110012010112012
412001210121001310001
523240333243034131
6514104533142305
741624222440013
oct6014431016401
91416543163465
10414001143041
1114a6389413a2
12682a018a995
133006a25a575
14160758961b3
15ab80ba552b
hex6064641d01

414001143041 has 2 divisors, whose sum is σ = 414001143042. Its totient is φ = 414001143040.

The previous prime is 414001143029. The next prime is 414001143067. The reversal of 414001143041 is 140341100414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 333413856400 + 80587286641 = 577420^2 + 283879^2 .

It is a cyclic number.

It is not a de Polignac number, because 414001143041 - 210 = 414001142017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414001142998 and 414001143016.

It is not a weakly prime, because it can be changed into another prime (414001143001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207000571520 + 207000571521.

It is an arithmetic number, because the mean of its divisors is an integer number (207000571521).

Almost surely, 2414001143041 is an apocalyptic number.

It is an amenable number.

414001143041 is a deficient number, since it is larger than the sum of its proper divisors (1).

414001143041 is an equidigital number, since it uses as much as digits as its factorization.

414001143041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 414001143041 its reverse (140341100414), we get a palindrome (554342243455).

The spelling of 414001143041 in words is "four hundred fourteen billion, one million, one hundred forty-three thousand, forty-one".