Search a number
-
+
434118901129 = 653210092
BaseRepresentation
bin1100101000100111000…
…00001011110110001001
31112111112111022010111121
412110103200023312021
524103033414314004
6531233110355241
743235604526654
oct6242340136611
91474474263447
10434118901129
11158121890851
127017565bb21
1331c25155834
141702367289b
15b45be32854
hex651380bd89

434118901129 has 9 divisors (see below), whose sum is σ = 435216059733. Its totient is φ = 433024506432.

The previous prime is 434118901127. The next prime is 434118901163. The reversal of 434118901129 is 921109811434.

The square root of 434118901129 is 658877.

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

It can be written as a sum of positive squares in 4 ways, for example, as 92656316025 + 341462585104 = 304395^2 + 584348^2 .

It is not a de Polignac number, because 434118901129 - 21 = 434118901127 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434118901127) 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 in 8 ways as a sum of consecutive naturals, for example, 430246177 + ... + 430247185.

Almost surely, 2434118901129 is an apocalyptic number.

434118901129 is the 658877-th square number.

434118901129 is the 329439-th centered octagonal number.

It is an amenable number.

434118901129 is a deficient number, since it is larger than the sum of its proper divisors (1097158604).

434118901129 is an frugal number, since it uses more digits than its factorization.

434118901129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The spelling of 434118901129 in words is "four hundred thirty-four billion, one hundred eighteen million, nine hundred one thousand, one hundred twenty-nine".

Divisors: 1 653 1009 426409 658877 1018081 430246681 664806893 434118901129