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4144313501 = 37477733083
BaseRepresentation
bin1111011100000101…
…0011010010011101
3101200211020221100122
43313001103102131
531441421013001
61523123004325
7204462040436
oct36701232235
911624227318
104144313501
1118373a2089
12977b096a5
135107ac213
142b459c48d
15193c7eb1b
hexf705349d

4144313501 has 16 divisors (see below), whose sum is σ = 4353917184. Its totient is φ = 3940127424.

The previous prime is 4144313491. The next prime is 4144313521. The reversal of 4144313501 is 1053134414.

It is a happy number.

4144313501 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4144313501 - 218 = 4144051357 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144313521) 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, 1342706 + ... + 1345788.

It is an arithmetic number, because the mean of its divisors is an integer number (272119824).

Almost surely, 24144313501 is an apocalyptic number.

It is an amenable number.

4144313501 is a deficient number, since it is larger than the sum of its proper divisors (209603683).

4144313501 is a wasteful number, since it uses less digits than its factorization.

4144313501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4144313501 is about 64376.3427122107. The cubic root of 4144313501 is about 1606.2662472459.

Adding to 4144313501 its reverse (1053134414), we get a palindrome (5197447915).

The spelling of 4144313501 in words is "four billion, one hundred forty-four million, three hundred thirteen thousand, five hundred one".

Divisors: 1 37 47 773 1739 3083 28601 36331 114071 144901 1344247 2383159 5361337 88176883 112008473 4144313501