Search a number
-
+
1323244140400 = 2452713127286243
BaseRepresentation
bin10011010000010111011…
…111110011011101110000
311200111112011022010111001
4103100113133303131300
5133140000444443100
62451520122131344
7164413136416510
oct23202737633560
94614464263431
101323244140400
11470203902986
12194553950b54
1397a20926b80
144808c669840
15246498acd6a
hex134177f3770

1323244140400 has 240 divisors, whose sum is σ = 3943553818624. Its totient is φ = 415485987840.

The previous prime is 1323244140373. The next prime is 1323244140401. The reversal of 1323244140400 is 40414423231.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323244140401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4479679 + ... + 4765921.

Almost surely, 21323244140400 is an apocalyptic number.

1323244140400 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 1323244140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971776909312).

1323244140400 is an abundant number, since it is smaller than the sum of its proper divisors (2620309678224).

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

1323244140400 is a wasteful number, since it uses less digits than its factorization.

1323244140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286408 (or 286397 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 1323244140400 its reverse (40414423231), we get a palindrome (1363658563631).

It can be divided in two parts, 132324 and 4140400, that added together give a palindrome (4272724).

The spelling of 1323244140400 in words is "one trillion, three hundred twenty-three billion, two hundred forty-four million, one hundred forty thousand, four hundred".