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34441001401 is a prime number
BaseRepresentation
bin100000000100110101…
…111111100110111001
310021220020211011000111
4200010311333212321
51031013344021101
623453314104321
72326323452542
oct400465774671
9107806734014
1034441001401
1113674058124
12681227b0a1
13332b482691
14194a1974c9
15d68961251
hex804d7f9b9

34441001401 has 2 divisors, whose sum is σ = 34441001402. Its totient is φ = 34441001400.

The previous prime is 34441001393. The next prime is 34441001407. The reversal of 34441001401 is 10410014443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23431955625 + 11009045776 = 153075^2 + 104924^2 .

It is a cyclic number.

It is not a de Polignac number, because 34441001401 - 23 = 34441001393 is a prime.

It is not a weakly prime, because it can be changed into another prime (34441001407) 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, 17220500700 + 17220500701.

It is an arithmetic number, because the mean of its divisors is an integer number (17220500701).

Almost surely, 234441001401 is an apocalyptic number.

It is an amenable number.

34441001401 is a deficient number, since it is larger than the sum of its proper divisors (1).

34441001401 is an equidigital number, since it uses as much as digits as its factorization.

34441001401 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 22.

Adding to 34441001401 its reverse (10410014443), we get a palindrome (44851015844).

The spelling of 34441001401 in words is "thirty-four billion, four hundred forty-one million, one thousand, four hundred one".