Search a number
-
+
380400642253 is a prime number
BaseRepresentation
bin1011000100100011010…
…01010010100011001101
31100100212202220211121001
411202101221102203031
522213030031023003
6450430441540301
736324453052222
oct5422151224315
91310782824531
10380400642253
11137366277885
12618834a4691
1329b43c6b438
14145a91ab949
159d65e1b61d
hex5891a528cd

380400642253 has 2 divisors, whose sum is σ = 380400642254. Its totient is φ = 380400642252.

The previous prime is 380400642247. The next prime is 380400642299. The reversal of 380400642253 is 352246004083.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 325837755684 + 54562886569 = 570822^2 + 233587^2 .

It is an emirp because it is prime and its reverse (352246004083) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 380400642253 - 25 = 380400642221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (380400642233) 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, 190200321126 + 190200321127.

It is an arithmetic number, because the mean of its divisors is an integer number (190200321127).

Almost surely, 2380400642253 is an apocalyptic number.

It is an amenable number.

380400642253 is a deficient number, since it is larger than the sum of its proper divisors (1).

380400642253 is an equidigital number, since it uses as much as digits as its factorization.

380400642253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 380400642253 in words is "three hundred eighty billion, four hundred million, six hundred forty-two thousand, two hundred fifty-three".