Search a number
-
+
38140735157821 is a prime number
BaseRepresentation
bin10001010110000010101001…
…11110000111011000111101
312000001012220102002221001001
420223001110332013120331
514444344211200022241
6213041340054050301
711014401654456142
oct1053012476073075
9160035812087031
1038140735157821
111117543874037a
12433bb1b049991
13183886acc430a
1495c042b443c9
154621dc27a431
hex22b054f8763d

38140735157821 has 2 divisors, whose sum is σ = 38140735157822. Its totient is φ = 38140735157820.

The previous prime is 38140735157809. The next prime is 38140735157857. The reversal of 38140735157821 is 12875153704183.

38140735157821 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., 25339645822500 + 12801089335321 = 5033850^2 + 3577861^2 .

It is a cyclic number.

It is not a de Polignac number, because 38140735157821 - 233 = 38132145223229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38140735157221) 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, 19070367578910 + 19070367578911.

It is an arithmetic number, because the mean of its divisors is an integer number (19070367578911).

Almost surely, 238140735157821 is an apocalyptic number.

It is an amenable number.

38140735157821 is a deficient number, since it is larger than the sum of its proper divisors (1).

38140735157821 is an equidigital number, since it uses as much as digits as its factorization.

38140735157821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5644800, while the sum is 55.

The spelling of 38140735157821 in words is "thirty-eight trillion, one hundred forty billion, seven hundred thirty-five million, one hundred fifty-seven thousand, eight hundred twenty-one".