Search a number
-
+
238830478129 is a prime number
BaseRepresentation
bin1101111001101101100…
…1111110001100110001
3211211110111200100121001
43132123121332030301
512403111100300004
6301414530002001
723153304366025
oct3363331761461
9754414610531
10238830478129
1192318640141
123a353a16301
13196a1cbba59
14b7b9214385
15632c4411a4
hex379b67e331

238830478129 has 2 divisors, whose sum is σ = 238830478130. Its totient is φ = 238830478128.

The previous prime is 238830478109. The next prime is 238830478147. The reversal of 238830478129 is 921874038832.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 159744102400 + 79086375729 = 399680^2 + 281223^2 .

It is a cyclic number.

It is not a de Polignac number, because 238830478129 - 27 = 238830478001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 238830478129.

It is not a weakly prime, because it can be changed into another prime (238830478109) 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, 119415239064 + 119415239065.

It is an arithmetic number, because the mean of its divisors is an integer number (119415239065).

Almost surely, 2238830478129 is an apocalyptic number.

It is an amenable number.

238830478129 is a deficient number, since it is larger than the sum of its proper divisors (1).

238830478129 is an equidigital number, since it uses as much as digits as its factorization.

238830478129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 238830478129 in words is "two hundred thirty-eight billion, eight hundred thirty million, four hundred seventy-eight thousand, one hundred twenty-nine".