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4306115641 = 21123112
BaseRepresentation
bin1000000001010101…
…00001110000111001
3102010002201100011111
410000222201300321
532304331200031
61551143000321
7211465244002
oct40052416071
912102640144
104306115641
11190a765463
12a021390a1
13538181029
142cbc7a1a9
151a30911b1
hex100aa1c39

4306115641 has 9 divisors (see below), whose sum is σ = 4340577189. Its totient is φ = 4271927100.

The previous prime is 4306115629. The next prime is 4306115687. The reversal of 4306115641 is 1465116034.

The square root of 4306115641 is 65621.

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

It is not a de Polignac number, because 4306115641 - 221 = 4304018489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4306115621) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13845876 + ... + 13846186.

Almost surely, 24306115641 is an apocalyptic number.

4306115641 is the 65621-st square number.

4306115641 is the 32811-st centered octagonal number.

It is an amenable number.

4306115641 is a deficient number, since it is larger than the sum of its proper divisors (34461548).

4306115641 is an frugal number, since it uses more digits than its factorization.

4306115641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The cubic root of 4306115641 is about 1626.9038849145.

The spelling of 4306115641 in words is "four billion, three hundred six million, one hundred fifteen thousand, six hundred forty-one".

Divisors: 1 211 311 44521 65621 96721 13846031 20408131 4306115641