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4144424441 = 172233120113
BaseRepresentation
bin1111011100000110…
…1110010111111001
3101200211110120112112
43313001232113321
531441433040231
61523125222105
7204463012043
oct36701562771
911624416475
104144424441
111837468473
12977b61935
1351081a871
142b45caa93
15193ca292b
hexf706e5f9

4144424441 has 24 divisors (see below), whose sum is σ = 4742398464. Its totient is φ = 3610506240.

The previous prime is 4144424413. The next prime is 4144424447. The reversal of 4144424441 is 1444244414.

It is not a de Polignac number, because 4144424441 - 26 = 4144424377 is a prime.

It is a super-4 number, since 4×41444244414 (a number of 40 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4144424398 and 4144424407.

It is not an unprimeable number, because it can be changed into a prime (4144424447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196001 + ... + 216113.

It is an arithmetic number, because the mean of its divisors is an integer number (197599936).

Almost surely, 24144424441 is an apocalyptic number.

It is an amenable number.

4144424441 is a deficient number, since it is larger than the sum of its proper divisors (597974023).

4144424441 is a wasteful number, since it uses less digits than its factorization.

4144424441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20201 (or 20184 counting only the distinct ones).

The product of its digits is 32768, while the sum is 32.

The square root of 4144424441 is about 64377.2043583752. The cubic root of 4144424441 is about 1606.2805799444.

Adding to 4144424441 its reverse (1444244414), we get a palindrome (5588668855).

The spelling of 4144424441 in words is "four billion, one hundred forty-four million, four hundred twenty-four thousand, four hundred forty-one".

Divisors: 1 17 23 31 289 391 527 713 6647 8959 12121 20113 206057 341921 462599 623503 5812657 7864183 10599551 14340569 133691111 180192367 243789673 4144424441