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54222143040 = 263351323139151
BaseRepresentation
bin110010011111111001…
…000011111001000000
312011221211112021001000
4302133321003321000
51342021332034130
640524224412000
73626450416452
oct623771037100
9164854467030
1054222143040
1120aa4a9366a
12a612a77000
1351616cc410
1428a538c2d2
15162539a260
hexc9fe43e40

54222143040 has 896 divisors, whose sum is σ = 217934438400. Its totient is φ = 12590899200.

The previous prime is 54222143023. The next prime is 54222143071. The reversal of 54222143040 is 4034122245.

54222143040 is a `hidden beast` number, since 5 + 4 + 2 + 221 + 430 + 4 + 0 = 666.

54222143040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 54222142995 and 54222143013.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 359086965 + ... + 359087115.

It is an arithmetic number, because the mean of its divisors is an integer number (243230400).

Almost surely, 254222143040 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 54222143040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108967219200).

54222143040 is an abundant number, since it is smaller than the sum of its proper divisors (163712295360).

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

54222143040 is a wasteful number, since it uses less digits than its factorization.

54222143040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 54222143040 its reverse (4034122245), we get a palindrome (58256265285).

The spelling of 54222143040 in words is "fifty-four billion, two hundred twenty-two million, one hundred forty-three thousand, forty".