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4124313441 = 321726956297
BaseRepresentation
bin1111010111010100…
…0000011101100001
3101122102121211102200
43311311000131201
531421311012231
61521130203413
7204130041303
oct36565003541
911572554380
104124313441
111827081806
12971283569
135095c8a71
142b1a73973
1519212dbe6
hexf5d40761

4124313441 has 12 divisors (see below), whose sum is σ = 6307773732. Its totient is φ = 2587804416.

The previous prime is 4124313419. The next prime is 4124313467. The reversal of 4124313441 is 1443134214.

4124313441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2794179600 + 1330133841 = 52860^2 + 36471^2 .

It is not a de Polignac number, because 4124313441 - 210 = 4124312417 is a prime.

It is a super-2 number, since 2×41243134412 = 34019922719226520962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4124313491) 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, 13477996 + ... + 13478301.

It is an arithmetic number, because the mean of its divisors is an integer number (525647811).

Almost surely, 24124313441 is an apocalyptic number.

It is an amenable number.

4124313441 is a deficient number, since it is larger than the sum of its proper divisors (2183460291).

4124313441 is a wasteful number, since it uses less digits than its factorization.

4124313441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26956320 (or 26956317 counting only the distinct ones).

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

The square root of 4124313441 is about 64220.8178163436. The cubic root of 4124313441 is about 1603.6781838364.

Adding to 4124313441 its reverse (1443134214), we get a palindrome (5567447655).

The spelling of 4124313441 in words is "four billion, one hundred twenty-four million, three hundred thirteen thousand, four hundred forty-one".

Divisors: 1 3 9 17 51 153 26956297 80868891 242606673 458257049 1374771147 4124313441