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54233201440 = 25511172378809
BaseRepresentation
bin110010100000100011…
…001111101100100000
312011222121100002022101
4302200203033230200
51342032144421230
640525301420144
73626643414625
oct624043175440
9164877302271
1054233201440
1121000256a40
12a61670a654
135163aa1952
1428a6a2a34c
151626331aca
hexca08cfb20

54233201440 has 192 divisors, whose sum is σ = 154432293120. Its totient is φ = 17753866240.

The previous prime is 54233201419. The next prime is 54233201443. The reversal of 54233201440 is 4410233245.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 54233201399 and 54233201408.

It is not an unprimeable number, because it can be changed into a prime (54233201443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 648756 + ... + 727564.

It is an arithmetic number, because the mean of its divisors is an integer number (804334860).

Almost surely, 254233201440 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 54233201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77216146560).

54233201440 is an abundant number, since it is smaller than the sum of its proper divisors (100199091680).

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

54233201440 is a wasteful number, since it uses less digits than its factorization.

54233201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78875 (or 78867 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 54233201440 its reverse (4410233245), we get a palindrome (58643434685).

The spelling of 54233201440 in words is "fifty-four billion, two hundred thirty-three million, two hundred one thousand, four hundred forty".