[go: up one dir, main page]

Search a number
-
+
4244314140 = 22345112943191
BaseRepresentation
bin1111110011111011…
…0001100000011100
3101221210102111110000
43330332301200130
532143021023030
61541054214300
7210115034463
oct37476614034
911853374400
104244314140
111888894040
129a54b4390
135284230b1
142c398d9da
1519c934860
hexfcfb181c

4244314140 has 480 divisors, whose sum is σ = 15455784960. Its totient is φ = 965260800.

The previous prime is 4244314133. The next prime is 4244314153. The reversal of 4244314140 is 414134424.

4244314140 is a `hidden beast` number, since 4 + 244 + 3 + 1 + 414 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22221445 + ... + 22221635.

It is an arithmetic number, because the mean of its divisors is an integer number (32199552).

Almost surely, 24244314140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4244314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7727892480).

4244314140 is an abundant number, since it is smaller than the sum of its proper divisors (11211470820).

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

4244314140 is a wasteful number, since it uses less digits than its factorization.

4244314140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4244314140 is about 65148.4009013268. The cubic root of 4244314140 is about 1619.0832261425.

Adding to 4244314140 its reverse (414134424), we get a palindrome (4658448564).

The spelling of 4244314140 in words is "four billion, two hundred forty-four million, three hundred fourteen thousand, one hundred forty".