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142463258028 = 2233713195967193
BaseRepresentation
bin1000010010101101111…
…0001100110110101100
3111121201111202100112000
42010223132030312230
54313231043224103
6145240254012300
713202241466410
oct2045336146654
9447644670460
10142463258028
1155466882383
122373a7a7090
1310584cc8820
146c76836d40
153a8c0e0aa3
hex212b78cdac

142463258028 has 768 divisors, whose sum is σ = 496441344000. Its totient is φ = 34291040256.

The previous prime is 142463258023. The next prime is 142463258083. The reversal of 142463258028 is 820852364241.

142463258028 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 63 + 2 + 580 + 2 + 8 = 666.

142463258028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (142463258023) 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 255 ways as a sum of consecutive naturals, for example, 738151500 + ... + 738151692.

It is an arithmetic number, because the mean of its divisors is an integer number (646408000).

Almost surely, 2142463258028 is an apocalyptic number.

142463258028 is a gapful number since it is divisible by the number (18) 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 142463258028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248220672000).

142463258028 is an abundant number, since it is smaller than the sum of its proper divisors (353978085972).

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

142463258028 is a wasteful number, since it uses less digits than its factorization.

142463258028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 142463258028 in words is "one hundred forty-two billion, four hundred sixty-three million, two hundred fifty-eight thousand, twenty-eight".