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38416001441 is a prime number
BaseRepresentation
bin100011110001110001…
…011010100110100001
310200011021111001222012
4203301301122212201
51112133444021231
625351552122305
72526661424126
oct436161324641
9120137431865
1038416001441
1115323916524
127541536395
133812b5cbcc
141c0608074d
15eec8e8e2b
hex8f1c5a9a1

38416001441 has 2 divisors, whose sum is σ = 38416001442. Its totient is φ = 38416001440.

The previous prime is 38416001411. The next prime is 38416001467. The reversal of 38416001441 is 14410061483.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32091139600 + 6324861841 = 179140^2 + 79529^2 .

It is a cyclic number.

It is not a de Polignac number, because 38416001441 - 234 = 21236132257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38416001398 and 38416001407.

It is not a weakly prime, because it can be changed into another prime (38416001411) 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, 19208000720 + 19208000721.

It is an arithmetic number, because the mean of its divisors is an integer number (19208000721).

Almost surely, 238416001441 is an apocalyptic number.

It is an amenable number.

38416001441 is a deficient number, since it is larger than the sum of its proper divisors (1).

38416001441 is an equidigital number, since it uses as much as digits as its factorization.

38416001441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 38416001441 in words is "thirty-eight billion, four hundred sixteen million, one thousand, four hundred forty-one".