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434141034001 is a prime number
BaseRepresentation
bin1100101000101001101…
…00100111011000010001
31112111121000221121002121
412110110310213120101
524103110101042001
6531235221014241
743236263621203
oct6242464473021
91474530847077
10434141034001
11158133328584
1270180b54381
1331c299049cc
1417026594773
15b45dd556a1
hex6514d27611

434141034001 has 2 divisors, whose sum is σ = 434141034002. Its totient is φ = 434141034000.

The previous prime is 434141033981. The next prime is 434141034023. The reversal of 434141034001 is 100430141434.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 423216603601 + 10924430400 = 650551^2 + 104520^2 .

It is a cyclic number.

It is not a de Polignac number, because 434141034001 - 27 = 434141033873 is a prime.

It is not a weakly prime, because it can be changed into another prime (434141034091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 217070517000 + 217070517001.

It is an arithmetic number, because the mean of its divisors is an integer number (217070517001).

Almost surely, 2434141034001 is an apocalyptic number.

It is an amenable number.

434141034001 is a deficient number, since it is larger than the sum of its proper divisors (1).

434141034001 is an equidigital number, since it uses as much as digits as its factorization.

434141034001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 434141034001 its reverse (100430141434), we get a palindrome (534571175435).

The spelling of 434141034001 in words is "four hundred thirty-four billion, one hundred forty-one million, thirty-four thousand, one".