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430164145161 = 322186232
BaseRepresentation
bin1100100001001111100…
…01111111010000001001
31112010022212201201012100
412100213301333100021
524021434010121121
6525340434304013
743035603622122
oct6204761772011
91463285651170
10430164145161
1115648249a093
126b451128009
1331744a1584a
1416b6a339049
15b2c9b48026
hex6427c7f409

430164145161 has 9 divisors (see below), whose sum is σ = 621351051789. Its totient is φ = 286774785036.

The previous prime is 430164145139. The next prime is 430164145163. The reversal of 430164145161 is 161541461034.

The square root of 430164145161 is 655869.

It is a perfect power (a square), and thus also a powerful number.

430164145161 is a `hidden beast` number, since 4 + 3 + 0 + 1 + 641 + 4 + 5 + 1 + 6 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 430164145161 - 215 = 430164112393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (430164145163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1858296 + ... + 2076918.

Almost surely, 2430164145161 is an apocalyptic number.

430164145161 is the 655869-th square number.

430164145161 is the 327935-th centered octagonal number.

It is an amenable number.

430164145161 is a deficient number, since it is larger than the sum of its proper divisors (191186906628).

430164145161 is an frugal number, since it uses more digits than its factorization.

430164145161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437252 (or 218626 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 430164145161 by its sum of digits (36), we get a square (15485909225796 = 39352142).

The spelling of 430164145161 in words is "four hundred thirty billion, one hundred sixty-four million, one hundred forty-five thousand, one hundred sixty-one".

Divisors: 1 3 9 218623 655869 1967607 47796016129 143388048387 430164145161