Search a number
-
+
1343113440000 = 283543190263
BaseRepresentation
bin10011100010110111110…
…011001010101100000000
311202101210212220010111020
4103202313303022230000
5134001144020040000
62505003502145440
7166015413604623
oct23426763125400
94671725803436
101343113440000
1147867a581842
12198379b82280
13998691cc297
144901544bdba
1524e0de0cba0
hex138b7ccab00

1343113440000 has 360 divisors, whose sum is σ = 4611014403072. Its totient is φ = 346606080000.

The previous prime is 1343113439999. The next prime is 1343113440001. The reversal of 1343113440000 is 443113431.

It is an interprime number because it is at equal distance from previous prime (1343113439999) and next prime (1343113440001).

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

It is not an unprimeable number, because it can be changed into a prime (1343113440001) 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 39 ways as a sum of consecutive naturals, for example, 14834869 + ... + 14925131.

Almost surely, 21343113440000 is an apocalyptic number.

1343113440000 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 1343113440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305507201536).

1343113440000 is an abundant number, since it is smaller than the sum of its proper divisors (3267900963072).

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

1343113440000 is an frugal number, since it uses more digits than its factorization.

1343113440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90333 (or 90304 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1343113440000 its reverse (443113431), we get a palindrome (1343556553431).

The spelling of 1343113440000 in words is "one trillion, three hundred forty-three billion, one hundred thirteen million, four hundred forty thousand".