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4413312414001 is a prime number
BaseRepresentation
bin100000000111000110111…
…1010110011000100110001
3120121220112022220202211101
41000032031322303010301
51034301430434222001
613215240413244401
7633564665363551
oct100161572630461
916556468822741
104413312414001
111451747891707
125b33b5493701
13260234461b0a
14113869553161
1579c01467a01
hex4038deb3131

4413312414001 has 2 divisors, whose sum is σ = 4413312414002. Its totient is φ = 4413312414000.

The previous prime is 4413312413999. The next prime is 4413312414019. The reversal of 4413312414001 is 1004142133144.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4399825075776 + 13487338225 = 2097576^2 + 116135^2 .

It is a cyclic number.

It is not a de Polignac number, because 4413312414001 - 21 = 4413312413999 is a prime.

Together with 4413312413999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (4413312484001) 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, 2206656207000 + 2206656207001.

It is an arithmetic number, because the mean of its divisors is an integer number (2206656207001).

Almost surely, 24413312414001 is an apocalyptic number.

It is an amenable number.

4413312414001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4413312414001 is an equidigital number, since it uses as much as digits as its factorization.

4413312414001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 4413312414001 its reverse (1004142133144), we get a palindrome (5417454547145).

The spelling of 4413312414001 in words is "four trillion, four hundred thirteen billion, three hundred twelve million, four hundred fourteen thousand, one".