Search a number
-
+
453345214400 = 26521329751567
BaseRepresentation
bin1101001100011010111…
…10101111111111000000
31121100011102000001002022
412212031132233333000
524411422333330100
6544133001141012
744516213512301
oct6461536577700
91540142001068
10453345214400
11165298611551
1273a4048a768
133399a461470
1417d28cbc7a8
15bbd4cc2e85
hex698d7affc0

453345214400 has 168 divisors, whose sum is σ = 1242747750720. Its totient is φ = 161616752640.

The previous prime is 453345214397. The next prime is 453345214411. The reversal of 453345214400 is 4412543354.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 227417 + ... + 978983.

It is an arithmetic number, because the mean of its divisors is an integer number (7397308040).

Almost surely, 2453345214400 is an apocalyptic number.

453345214400 is a gapful number since it is divisible by the number (40) 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 453345214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621373875360).

453345214400 is an abundant number, since it is smaller than the sum of its proper divisors (789402536320).

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

453345214400 is a wasteful number, since it uses less digits than its factorization.

453345214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751631 (or 751616 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 453345214400 its reverse (4412543354), we get a palindrome (457757757754).

The spelling of 453345214400 in words is "four hundred fifty-three billion, three hundred forty-five million, two hundred fourteen thousand, four hundred".