Search a number
-
+
20052043440 = 243511133715791
BaseRepresentation
bin10010101011001100…
…011110011010110000
31220202110110100102120
4102223030132122300
5312031310342230
613113424514240
71306623362022
oct225314363260
956673410376
1020052043440
11855a946030
123a7747b980
131b773ca180
14d83192012
157c55eb310
hex4ab31e6b0

20052043440 has 320 divisors, whose sum is σ = 75007199232. Its totient is φ = 4365619200.

The previous prime is 20052043381. The next prime is 20052043447. The reversal of 20052043440 is 4434025002.

It is a super-2 number, since 2×200520434402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20052043440.

It is not an unprimeable number, because it can be changed into a prime (20052043447) 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 63 ways as a sum of consecutive naturals, for example, 1261945 + ... + 1277735.

Almost surely, 220052043440 is an apocalyptic number.

20052043440 is a gapful number since it is divisible by the number (20) 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 20052043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37503599616).

20052043440 is an abundant number, since it is smaller than the sum of its proper divisors (54955155792).

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

20052043440 is a wasteful number, since it uses less digits than its factorization.

20052043440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15868 (or 15862 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 20052043440 its reverse (4434025002), we get a palindrome (24486068442).

The spelling of 20052043440 in words is "twenty billion, fifty-two million, forty-three thousand, four hundred forty".