Search a number
-
+
13341440000 = 2115471489
BaseRepresentation
bin11000110110011011…
…00011100000000000
31021102210021101002102
430123031203200000
5204310402040000
610043505205532
7651420240350
oct143315434000
937383241072
1013341440000
115726993379
1227040308a8
13134804b8c5
14907c48b60
155313e93d5
hex31b363800

13341440000 has 240 divisors, whose sum is σ = 38122484400. Its totient is φ = 4571136000.

The previous prime is 13341439889. The next prime is 13341440027. The reversal of 13341440000 is 4414331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent 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 19 ways as a sum of consecutive naturals, for example, 8959256 + ... + 8960744.

It is an arithmetic number, because the mean of its divisors is an integer number (158843685).

Almost surely, 213341440000 is an apocalyptic number.

13341440000 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 13341440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19061242200).

13341440000 is an abundant number, since it is smaller than the sum of its proper divisors (24781044400).

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

13341440000 is an frugal number, since it uses more digits than its factorization.

13341440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13341440000 its reverse (4414331), we get a palindrome (13345854331).

The spelling of 13341440000 in words is "thirteen billion, three hundred forty-one million, four hundred forty thousand".