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545413440000 = 29354111329137
BaseRepresentation
bin1111110111111010010…
…11001010001000000000
31221010210210121111100210
413323331023022020000
532414001320040000
61054320502514120
754255565514142
oct7737513121000
91833723544323
10545413440000
111a03437390a0
1289855a35940
133c5808c7a70
141c580754c92
15e2c29dc350
hex7efd2ca200

545413440000 has 1600 divisors, whose sum is σ = 2222778983040. Its totient is φ = 116981760000.

The previous prime is 545413439999. The next prime is 545413440001. The reversal of 545413440000 is 44314545.

It is an interprime number because it is at equal distance from previous prime (545413439999) and next prime (545413440001).

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 545413440000.

It is not an unprimeable number, because it can be changed into a prime (545413440001) 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 159 ways as a sum of consecutive naturals, for example, 3981119932 + ... + 3981120068.

Almost surely, 2545413440000 is an apocalyptic number.

545413440000 is a gapful number since it is divisible by the number (50) 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 545413440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111389491520).

545413440000 is an abundant number, since it is smaller than the sum of its proper divisors (1677365543040).

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

545413440000 is a wasteful number, since it uses less digits than its factorization.

545413440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 545413440000 its reverse (44314545), we get a palindrome (545457754545).

The spelling of 545413440000 in words is "five hundred forty-five billion, four hundred thirteen million, four hundred forty thousand".