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54045423440000 = 27543783219983
BaseRepresentation
bin11000100100111011011100…
…10001000001000010000000
321002100200200111001210121122
430102131232101001002000
524040440011400040000
6310540042541211412
714245436655331406
oct1422355621010200
9232320614053548
1054045423440000
1116247598630513
12608a446b60b68
13242060008a255
14d4bb5351d476
1563aca37ec085
hex31276e441080

54045423440000 has 320 divisors, whose sum is σ = 139844435955840. Its totient is φ = 20780379648000.

The previous prime is 54045423439993. The next prime is 54045423440027. The reversal of 54045423440000 is 4432454045.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245570009 + ... + 245789991.

It is an arithmetic number, because the mean of its divisors is an integer number (437013862362).

Almost surely, 254045423440000 is an apocalyptic number.

54045423440000 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 54045423440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69922217977920).

54045423440000 is an abundant number, since it is smaller than the sum of its proper divisors (85799012515840).

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

54045423440000 is an equidigital number, since it uses as much as digits as its factorization.

54045423440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220137 (or 220110 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

Adding to 54045423440000 its reverse (4432454045), we get a palindrome (54049855894045).

The spelling of 54045423440000 in words is "fifty-four trillion, forty-five billion, four hundred twenty-three million, four hundred forty thousand".