Search a number
-
+
4401440140 = 2253129324229
BaseRepresentation
bin1000001100101100…
…01010010110001100
3102100202002022210111
410012112022112030
533003232041030
62004430045404
7214033423666
oct40626122614
912322068714
104401440140
111959553139
12a2a049864
13551b48666
142da7b1536
151ab62062a
hex10658a58c

4401440140 has 48 divisors (see below), whose sum is σ = 9574145280. Its totient is φ = 1697898240.

The previous prime is 4401440137. The next prime is 4401440189. The reversal of 4401440140 is 410441044.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169546 + ... + 193774.

It is an arithmetic number, because the mean of its divisors is an integer number (199461360).

Almost surely, 24401440140 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 4401440140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4787072640).

4401440140 is an abundant number, since it is smaller than the sum of its proper divisors (5172705140).

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

4401440140 is a wasteful number, since it uses less digits than its factorization.

4401440140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24562 (or 24560 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4401440140 is about 66343.3503826872. The cubic root of 4401440140 is about 1638.8213000839.

Adding to 4401440140 its reverse (410441044), we get a palindrome (4811881184).

The spelling of 4401440140 in words is "four billion, four hundred one million, four hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 293 310 586 620 1172 1465 2930 5860 9083 18166 24229 36332 45415 48458 90830 96916 121145 181660 242290 484580 751099 1502198 3004396 3755495 7099097 7510990 14198194 15021980 28396388 35495485 70990970 141981940 220072007 440144014 880288028 1100360035 2200720070 4401440140