Search a number
-
+
20200444000000 = 285611974733
BaseRepresentation
bin1001001011111010010000…
…10010011111011100000000
32122112010212200012201122121
410211331020102133130000
510121431002131000000
6110543542244414024
74153301555635345
oct445751022373400
978463780181577
1020200444000000
116488a62016a90
122322b939a7314
13b36b805ab8b4
144db9c72b87cc
152506d72b0b1a
hex125f4849f700

20200444000000 has 504 divisors, whose sum is σ = 55562394729744. Its totient is φ = 7268352000000.

The previous prime is 20200443999979. The next prime is 20200444000003. The reversal of 20200444000000 is 44400202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20200444000003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4267997634 + ... + 4268002366.

It is an arithmetic number, because the mean of its divisors is an integer number (110242846686).

Almost surely, 220200444000000 is an apocalyptic number.

20200444000000 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 20200444000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27781197364872).

20200444000000 is an abundant number, since it is smaller than the sum of its proper divisors (35361950729744).

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

20200444000000 is an frugal number, since it uses more digits than its factorization.

20200444000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4887 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 20200444000000 its reverse (44400202), we get a palindrome (20200488400202).

The spelling of 20200444000000 in words is "twenty trillion, two hundred billion, four hundred forty-four million", and thus it is an aban number.