Search a number
-
+
440130003040 = 255721353591381
BaseRepresentation
bin1100110011110011100…
…10101110000001100000
31120002001102020202010201
412121321302232001200
524202341240044130
6534105401234544
743540555204300
oct6317162560140
91502042222121
10440130003040
1115a726a04672
1271372792a54
133267260a880
1417433b31600
15b6aea0ebca
hex6679cae060

440130003040 has 576 divisors, whose sum is σ = 1350665305920. Its totient is φ = 134252052480.

The previous prime is 440130003029. The next prime is 440130003067. The reversal of 440130003040 is 40300031044.

It is a junction number, because it is equal to n+sod(n) for n = 440130002999 and 440130003017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 318703150 + ... + 318704530.

It is an arithmetic number, because the mean of its divisors is an integer number (2344905045).

Almost surely, 2440130003040 is an apocalyptic number.

440130003040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440130003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675332652960).

440130003040 is an abundant number, since it is smaller than the sum of its proper divisors (910535302880).

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

440130003040 is a wasteful number, since it uses less digits than its factorization.

440130003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 440130003040 its reverse (40300031044), we get a palindrome (480430034084).

The spelling of 440130003040 in words is "four hundred forty billion, one hundred thirty million, three thousand, forty".