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44131124121 = 3723412228507
BaseRepresentation
bin101001000110011010…
…111000001110011001
311012220120111101102120
4221012122320032121
51210340031432441
632135031051453
73121416236310
oct510632701631
9135816441376
1044131124121
1117796961807
128677510b89
134213bc42c6
1421c90d5277
15123450d966
hexa466b8399

44131124121 has 32 divisors (see below), whose sum is σ = 71882754048. Its totient is φ = 23533023360.

The previous prime is 44131124099. The next prime is 44131124137. The reversal of 44131124121 is 12142113144.

It is a happy number.

It is not a de Polignac number, because 44131124121 - 214 = 44131107737 is a prime.

It is a super-2 number, since 2×441311241212 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44131124091 and 44131124100.

It is not an unprimeable number, because it can be changed into a prime (44131124161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1094451 + ... + 1134056.

It is an arithmetic number, because the mean of its divisors is an integer number (2246336064).

Almost surely, 244131124121 is an apocalyptic number.

44131124121 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

44131124121 is a deficient number, since it is larger than the sum of its proper divisors (27751629927).

44131124121 is a wasteful number, since it uses less digits than its factorization.

44131124121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228581.

The product of its digits is 768, while the sum is 24.

Adding to 44131124121 its reverse (12142113144), we get a palindrome (56273237265).

The spelling of 44131124121 in words is "forty-four billion, one hundred thirty-one million, one hundred twenty-four thousand, one hundred twenty-one".

Divisors: 1 3 7 21 23 41 69 123 161 287 483 861 943 2829 6601 19803 2228507 6685521 15599549 46798647 51255661 91368787 153766983 274106361 358789627 639581509 1076368881 1918744527 2101482101 6304446303 14710374707 44131124121