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6144000029 is a prime number
BaseRepresentation
bin1011011100011011…
…00000000000011101
3120212012000112120122
411232031200000131
5100040331000104
62453355124325
7305153065346
oct55615400035
916765015518
106144000029
112673145182
1212357436a5
1376bb7699b
14423db50cd
1525e5ce6be
hex16e36001d

6144000029 has 2 divisors, whose sum is σ = 6144000030. Its totient is φ = 6144000028.

The previous prime is 6143999963. The next prime is 6144000041. The reversal of 6144000029 is 9200004416.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6037600804 + 106399225 = 77702^2 + 10315^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-6144000029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6143999971 and 6144000007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (6144000829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3072000014 + 3072000015.

It is an arithmetic number, because the mean of its divisors is an integer number (3072000015).

Almost surely, 26144000029 is an apocalyptic number.

It is an amenable number.

6144000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

6144000029 is an equidigital number, since it uses as much as digits as its factorization.

6144000029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 6144000029 is about 78383.6719540492. The cubic root of 6144000029 is about 1831.5427909670.

The spelling of 6144000029 in words is "six billion, one hundred forty-four million, twenty-nine", and thus it is an aban number.