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34441000037 is a prime number
BaseRepresentation
bin100000000100110101…
…111111010001100101
310021220020211002010222
4200010311333101211
51031013344000122
623453314054125
72326323445553
oct400465772145
9107806732128
1034441000037
11136740570a4
12681227a345
13332b481b82
14194a196bd3
15d68960b42
hex804d7f465

34441000037 has 2 divisors, whose sum is σ = 34441000038. Its totient is φ = 34441000036.

The previous prime is 34440999991. The next prime is 34441000051. The reversal of 34441000037 is 73000014443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19809436516 + 14631563521 = 140746^2 + 120961^2 .

It is a cyclic number.

It is not a de Polignac number, because 34441000037 - 26 = 34440999973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34441000067) 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, 17220500018 + 17220500019.

It is an arithmetic number, because the mean of its divisors is an integer number (17220500019).

Almost surely, 234441000037 is an apocalyptic number.

It is an amenable number.

34441000037 is a deficient number, since it is larger than the sum of its proper divisors (1).

34441000037 is an equidigital number, since it uses as much as digits as its factorization.

34441000037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 26.

The spelling of 34441000037 in words is "thirty-four billion, four hundred forty-one million, thirty-seven", and thus it is an aban number.