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39145138930181 is a prime number
BaseRepresentation
bin10001110011010001100000…
…00110011100001000000101
312010121020110001000011112002
420321220300012130020011
520112323221031231211
6215131010100435045
711150100014614514
oct1071506006341005
9163536401004462
1039145138930181
11115223a6461659
12448270b9a8a85
1318ac4a8743bcb
149948c5da867b
1547d3c542303b
hex239a3019c205

39145138930181 has 2 divisors, whose sum is σ = 39145138930182. Its totient is φ = 39145138930180.

The previous prime is 39145138930169. The next prime is 39145138930201. The reversal of 39145138930181 is 18103983154193.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 27174639184900 + 11970499745281 = 5212930^2 + 3459841^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-39145138930181 is a prime.

It is a super-2 number, since 2×391451389301812 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (39145138930981) 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, 19572569465090 + 19572569465091.

It is an arithmetic number, because the mean of its divisors is an integer number (19572569465091).

Almost surely, 239145138930181 is an apocalyptic number.

It is an amenable number.

39145138930181 is a deficient number, since it is larger than the sum of its proper divisors (1).

39145138930181 is an equidigital number, since it uses as much as digits as its factorization.

39145138930181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2799360, while the sum is 56.

The spelling of 39145138930181 in words is "thirty-nine trillion, one hundred forty-five billion, one hundred thirty-eight million, nine hundred thirty thousand, one hundred eighty-one".