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4144342131 = 33255760029
BaseRepresentation
bin1111011100000101…
…1010010001110011
3101200211022101122000
43313001122101303
531441422422011
61523123345043
7204462220056
oct36701322163
911624271560
104144342131
111837411646
12977b22183
135107bc267
142b45a8a9d
15193c88356
hexf705a473

4144342131 has 16 divisors (see below), whose sum is σ = 6142269600. Its totient is φ = 2761768224.

The previous prime is 4144342123. The next prime is 4144342159. The reversal of 4144342131 is 1312434414.

4144342131 is a `hidden beast` number, since 4 + 1 + 443 + 4 + 213 + 1 = 666.

It is not a de Polignac number, because 4144342131 - 23 = 4144342123 is a prime.

It is a super-2 number, since 2×41443421312 = 34351143397563242322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4144342095 and 4144342104.

It is not an unprimeable number, because it can be changed into a prime (4144342231) 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 15 ways as a sum of consecutive naturals, for example, 39025 + ... + 99053.

It is an arithmetic number, because the mean of its divisors is an integer number (383891850).

Almost surely, 24144342131 is an apocalyptic number.

4144342131 is a deficient number, since it is larger than the sum of its proper divisors (1997927469).

4144342131 is a wasteful number, since it uses less digits than its factorization.

4144342131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62595 (or 62589 counting only the distinct ones).

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

The square root of 4144342131 is about 64376.5650761207. The cubic root of 4144342131 is about 1606.2699460730.

Adding to 4144342131 its reverse (1312434414), we get a palindrome (5456776545).

The spelling of 4144342131 in words is "four billion, one hundred forty-four million, three hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 27 2557 7671 23013 60029 69039 180087 540261 1620783 153494153 460482459 1381447377 4144342131