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54070721030144 = 2117213173124359
BaseRepresentation
bin11000100101101010100100…
…00111101010100000000000
321002110002222111221112100202
430102311102013222200000
524041343314040431034
6310555425112304332
714250323605314500
oct1422652207524000
9232402874845322
1054070721030144
111625729a445405
1260933270a20a8
132422b021596c0
14d4d07320da00
1563b7846a447e
hex312d521ea800

54070721030144 has 1728 divisors, whose sum is σ = 154199326881600. Its totient is φ = 18707282657280.

The previous prime is 54070721030041. The next prime is 54070721030177. The reversal of 54070721030144 is 44103012707045.

It is a junction number, because it is equal to n+sod(n) for n = 54070721030098 and 54070721030107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 916452898787 + ... + 916452898845.

It is an arithmetic number, because the mean of its divisors is an integer number (89235721575).

Almost surely, 254070721030144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54070721030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77099663440800).

54070721030144 is an abundant number, since it is smaller than the sum of its proper divisors (100128605851456).

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

54070721030144 is a wasteful number, since it uses less digits than its factorization.

54070721030144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

Adding to 54070721030144 its reverse (44103012707045), we get a palindrome (98173733737189).

The spelling of 54070721030144 in words is "fifty-four trillion, seventy billion, seven hundred twenty-one million, thirty thousand, one hundred forty-four".