Search a number
-
+
1320300044000 = 255371931223359
BaseRepresentation
bin10011001101101000000…
…000111101111011100000
311200012220222110112110122
4103031220000331323200
5133112433302402000
62450312032015412
7164250160130210
oct23155000757340
94605828415418
101320300044000
11469a32a55763
12193a71991568
13976719b6bb2
1447c8d656240
15245261ad085
hex1336803dee0

1320300044000 has 768 divisors, whose sum is σ = 4057753190400. Its totient is φ = 412003584000.

The previous prime is 1320300043949. The next prime is 1320300044009. The reversal of 1320300044000 is 4400030231.

It is a self number, because there is not a number n which added to its sum of digits gives 1320300044000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1320300044009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3677715821 + ... + 3677716179.

It is an arithmetic number, because the mean of its divisors is an integer number (5283532800).

Almost surely, 21320300044000 is an apocalyptic number.

1320300044000 is a gapful number since it is divisible by the number (10) 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 1320300044000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028876595200).

1320300044000 is an abundant number, since it is smaller than the sum of its proper divisors (2737453146400).

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

1320300044000 is a wasteful number, since it uses less digits than its factorization.

1320300044000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 1320300044000 its reverse (4400030231), we get a palindrome (1324700074231).

The spelling of 1320300044000 in words is "one trillion, three hundred twenty billion, three hundred million, forty-four thousand".