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438085240385121 = 347772637108263
BaseRepresentation
bin110001110011011111010101…
…1001000100110111001100001
32010110010112120122011111110000
41203212332223020212321201
5424410042033014310441
64151421325303330213
7161163420435555330
oct14346765310467141
92113115518144400
10438085240385121
111176509a837a95a
1241173a30750969
1315a5a35129ba54
147a2761dda5d17
15359a9084282b6
hex18e6fab226e61

438085240385121 has 20 divisors (see below), whose sum is σ = 747912720799552. Its totient is φ = 250334423076888.

The previous prime is 438085240385083. The next prime is 438085240385137. The reversal of 438085240385121 is 121583042580834.

It is a happy number.

438085240385121 is a `hidden beast` number, since 4 + 3 + 8 + 0 + 8 + 5 + 240 + 385 + 12 + 1 = 666.

It is not a de Polignac number, because 438085240385121 - 218 = 438085240122977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (438085240385021) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 386318553565 + ... + 386318554698.

Almost surely, 2438085240385121 is an apocalyptic number.

It is an amenable number.

438085240385121 is a deficient number, since it is larger than the sum of its proper divisors (309827480414431).

438085240385121 is an equidigital number, since it uses as much as digits as its factorization.

438085240385121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772637108282 (or 772637108273 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 438085240385121 in words is "four hundred thirty-eight trillion, eighty-five billion, two hundred forty million, three hundred eighty-five thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 772637108263 2317911324789 5408459757841 6953733974367 16225379273523 20861201923101 48676137820569 62583605769303 146028413461707 438085240385121