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4314414241 = 172113132113
BaseRepresentation
bin1000000010010100…
…01011110010100001
3102010200022221201001
410001022023302201
532313442223431
61552040512001
7211625626114
oct40112136241
912120287631
104314414241
111914413305
12a04a7b601
13539ac8347
142ccdda57b
151a3b7ee61
hex10128bca1

4314414241 has 12 divisors (see below), whose sum is σ = 4623725772. Its totient is φ = 4024659968.

The previous prime is 4314414239. The next prime is 4314414263. The reversal of 4314414241 is 1424144134.

It can be written as a sum of positive squares in 6 ways, for example, as 166539025 + 4147875216 = 12905^2 + 64404^2 .

It is not a de Polignac number, because 4314414241 - 21 = 4314414239 is a prime.

It is a super-2 number, since 2×43144142412 = 37228340485887212162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4314414211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33400 + ... + 98713.

It is an arithmetic number, because the mean of its divisors is an integer number (385310481).

Almost surely, 24314414241 is an apocalyptic number.

It is an amenable number.

4314414241 is a deficient number, since it is larger than the sum of its proper divisors (309311531).

4314414241 is a wasteful number, since it uses less digits than its factorization.

4314414241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132260 (or 132243 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 4314414241 is about 65684.2008476924. The cubic root of 4314414241 is about 1627.9483189298.

Adding to 4314414241 its reverse (1424144134), we get a palindrome (5738558375).

The spelling of 4314414241 in words is "four billion, three hundred fourteen million, four hundred fourteen thousand, two hundred forty-one".

Divisors: 1 17 113 289 1921 32657 132113 2245921 14928769 38180657 253789073 4314414241