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4144422401 = 72174975297
BaseRepresentation
bin1111011100000110…
…1101111000000001
3101200211110110201222
43313001231320001
531441433004101
61523125204425
7204463003100
oct36701557001
911624413658
104144422401
111837466989
12977b60715
13510819962
142b45ca037
15193ca201b
hexf706de01

4144422401 has 12 divisors (see below), whose sum is σ = 5104655748. Its totient is φ = 3343398912.

The previous prime is 4144422379. The next prime is 4144422409. The reversal of 4144422401 is 1042244414.

4144422401 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 3451680001 + 692742400 = 58751^2 + 26320^2 .

It is not a de Polignac number, because 4144422401 - 230 = 3070680577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4144422409) 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, 2486816 + ... + 2488481.

It is an arithmetic number, because the mean of its divisors is an integer number (425387979).

Almost surely, 24144422401 is an apocalyptic number.

It is an amenable number.

4144422401 is a deficient number, since it is larger than the sum of its proper divisors (960233347).

4144422401 is a wasteful number, since it uses less digits than its factorization.

4144422401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4975328 (or 4975321 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 4144422401 is about 64377.1885142556. The cubic root of 4144422401 is about 1606.2803163925.

Adding to 4144422401 its reverse (1042244414), we get a palindrome (5186666815).

The spelling of 4144422401 in words is "four billion, one hundred forty-four million, four hundred twenty-two thousand, four hundred one".

Divisors: 1 7 17 49 119 833 4975297 34827079 84580049 243789553 592060343 4144422401