Search a number
-
+
38744003657041 is a prime number
BaseRepresentation
bin10001100111100110010101…
…00100110011110101010001
312002011220001020012221112221
420303303022210303311101
520034240204414011131
6214222425523421041
711106106346220334
oct1063631244636521
9162156036187487
1038744003657041
11113882700127a1
124418a20524781
13188070bb54a17
1497d31112461b
15472c49027411
hex233cca933d51

38744003657041 has 2 divisors, whose sum is σ = 38744003657042. Its totient is φ = 38744003657040.

The previous prime is 38744003657039. The next prime is 38744003657087. The reversal of 38744003657041 is 14075630044783.

38744003657041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38655080417041 + 88923240000 = 6217321^2 + 298200^2 .

It is a cyclic number.

It is not a de Polignac number, because 38744003657041 - 21 = 38744003657039 is a prime.

Together with 38744003657039, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 38744003657041.

It is not a weakly prime, because it can be changed into another prime (38744003657341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19372001828520 + 19372001828521.

It is an arithmetic number, because the mean of its divisors is an integer number (19372001828521).

Almost surely, 238744003657041 is an apocalyptic number.

It is an amenable number.

38744003657041 is a deficient number, since it is larger than the sum of its proper divisors (1).

38744003657041 is an equidigital number, since it uses as much as digits as its factorization.

38744003657041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6773760, while the sum is 52.

The spelling of 38744003657041 in words is "thirty-eight trillion, seven hundred forty-four billion, three million, six hundred fifty-seven thousand, forty-one".