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434224301121 = 3413412368757
BaseRepresentation
bin1100101000110011100…
…10010000010001000001
31112111210211122000010000
412110121302100101001
524103242410113441
6531251353430213
743241324442402
oct6243162202101
91474724560100
10434224301121
11158176330386
12701a4a0b369
1331c40c3a1b0
141703366b9a9
15b4663022b6
hex6519c90441

434224301121 has 20 divisors (see below), whose sum is σ = 698552676052. Its totient is φ = 267214953888.

The previous prime is 434224301113. The next prime is 434224301129. The reversal of 434224301121 is 121103422434.

434224301121 is a `hidden beast` number, since 4 + 342 + 2 + 4 + 301 + 12 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (434224301113) and next prime (434224301129).

It can be written as a sum of positive squares in 2 ways, for example, as 188494905600 + 245729395521 = 434160^2 + 495711^2 .

It is not a de Polignac number, because 434224301121 - 23 = 434224301113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434224301129) 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, 206183326 + ... + 206185431.

Almost surely, 2434224301121 is an apocalyptic number.

It is an amenable number.

434224301121 is a deficient number, since it is larger than the sum of its proper divisors (264328374931).

434224301121 is a wasteful number, since it uses less digits than its factorization.

434224301121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412368782 (or 412368773 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 434224301121 its reverse (121103422434), we get a palindrome (555327723555).

The spelling of 434224301121 in words is "four hundred thirty-four billion, two hundred twenty-four million, three hundred one thousand, one hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 351 1053 412368757 1237106271 3711318813 5360793841 11133956439 16082381523 33401869317 48247144569 144741433707 434224301121