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4144121431 = 294327112263
BaseRepresentation
bin1111011100000010…
…0100011001010111
3101200210220011212221
43313000210121113
531441343341211
61523114523211
7204460310452
oct36700443127
911623804787
104144121431
11183728084a
12977a36507
13510742978
142b454c499
15193c42c71
hexf7024657

4144121431 has 16 divisors (see below), whose sum is σ = 4403266560. Its totient is φ = 3893430240.

The previous prime is 4144121417. The next prime is 4144121441. The reversal of 4144121431 is 1341214414.

4144121431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4144121431 is a prime.

It is a super-2 number, since 2×41441214312 = 34347484869746975522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4144121396 and 4144121405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144121441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331806 + ... + 344068.

It is an arithmetic number, because the mean of its divisors is an integer number (275204160).

Almost surely, 24144121431 is an apocalyptic number.

4144121431 is a deficient number, since it is larger than the sum of its proper divisors (259145129).

4144121431 is a wasteful number, since it uses less digits than its factorization.

4144121431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12606.

The product of its digits is 1536, while the sum is 25.

The square root of 4144121431 is about 64374.8509202157. The cubic root of 4144121431 is about 1606.2414324948.

Adding to 4144121431 its reverse (1341214414), we get a palindrome (5485335845).

The spelling of 4144121431 in words is "four billion, one hundred forty-four million, one hundred twenty-one thousand, four hundred thirty-one".

Divisors: 1 29 43 271 1247 7859 11653 12263 337937 355627 527309 3323273 15291961 96374917 142900739 4144121431