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453440000000 = 2125713109
BaseRepresentation
bin1101001100100110010…
…00010101000000000000
31121100102000100122111002
412212103020111000000
524412121120000000
6544150224511132
744521444256201
oct6462310250000
91540360318432
10453440000000
11165337071359
1273a6817b4a8
13339b3c9a710
1417d377135a8
15bbdd2978d5
hex6993215000

453440000000 has 416 divisors, whose sum is σ = 1231846455840. Its totient is φ = 165888000000.

The previous prime is 453439999979. The next prime is 453440000023. The reversal of 453440000000 is 44354.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 139266297856 + 314173702144 = 373184^2 + 560512^2 .

It is a tau number, because it is divible by the number of its divisors (416).

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4159999946 + ... + 4160000054.

It is an arithmetic number, because the mean of its divisors is an integer number (2961169365).

Almost surely, 2453440000000 is an apocalyptic number.

453440000000 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 453440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615923227920).

453440000000 is an abundant number, since it is smaller than the sum of its proper divisors (778406455840).

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

453440000000 is an frugal number, since it uses more digits than its factorization.

453440000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 453440000000 its reverse (44354), we get a palindrome (453440044354).

The spelling of 453440000000 in words is "four hundred fifty-three billion, four hundred forty million", and thus it is an aban number.