Search a number
-
+
438082337365129 is a prime number
BaseRepresentation
bin110001110011011101111111…
…0000110011101110010001001
32010110010021002022121210200001
41203212323332012131302021
5424410020111331141004
64151420125241443001
7161163255465366232
oct14346737606356211
92113107068553601
10438082337365129
1111764a748728a86
12411733604a0461
1315a59caaa11542
147a27426606089
15359a7d863e1a4
hex18e6efe19dc89

438082337365129 has 2 divisors, whose sum is σ = 438082337365130. Its totient is φ = 438082337365128.

The previous prime is 438082337365117. The next prime is 438082337365133. The reversal of 438082337365129 is 921563733280834.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 393709726094400 + 44372611270729 = 19842120^2 + 6661277^2 .

It is a cyclic number.

It is not a de Polignac number, because 438082337365129 - 233 = 438073747430537 is a prime.

It is a super-2 number, since 2×4380823373651292 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (438082337365159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 219041168682564 + 219041168682565.

It is an arithmetic number, because the mean of its divisors is an integer number (219041168682565).

It is a 1-persistent number, because it is pandigital, but 2⋅438082337365129 = 876164674730258 is not.

Almost surely, 2438082337365129 is an apocalyptic number.

It is an amenable number.

438082337365129 is a deficient number, since it is larger than the sum of its proper divisors (1).

438082337365129 is an equidigital number, since it uses as much as digits as its factorization.

438082337365129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 156764160, while the sum is 64.

The spelling of 438082337365129 in words is "four hundred thirty-eight trillion, eighty-two billion, three hundred thirty-seven million, three hundred sixty-five thousand, one hundred twenty-nine".