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4144430320 = 24558618839
BaseRepresentation
bin1111011100000110…
…1111110011110000
3101200211110212121021
43313001233303300
531441433232240
61523125305224
7204463035142
oct36701576360
911624425537
104144430320
111837471928
12977b65214
13510820444
142b45ccc92
15193ca454a
hexf706fcf0

4144430320 has 40 divisors (see below), whose sum is σ = 9638534880. Its totient is φ = 1657301760.

The previous prime is 4144430267. The next prime is 4144430327. The reversal of 4144430320 is 230344414.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144430327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464461 + ... + 473299.

It is an arithmetic number, because the mean of its divisors is an integer number (240963372).

Almost surely, 24144430320 is an apocalyptic number.

4144430320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4144430320 is an abundant number, since it is smaller than the sum of its proper divisors (5494104560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4144430320 is a wasteful number, since it uses less digits than its factorization.

4144430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14713 (or 14707 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 4144430320 is about 64377.2500189314. The cubic root of 4144430320 is about 1606.2813394643.

Adding to 4144430320 its reverse (230344414), we get a palindrome (4374774734).

The spelling of 4144430320 in words is "four billion, one hundred forty-four million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5861 8839 11722 17678 23444 29305 35356 44195 46888 58610 70712 88390 93776 117220 141424 176780 234440 353560 468880 707120 51805379 103610758 207221516 259026895 414443032 518053790 828886064 1036107580 2072215160 4144430320