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142266146112 = 26323759311257
BaseRepresentation
bin1000010001111110111…
…0010001110101000000
3111121012202212000210200
42010133232101311000
54312330113133422
6145204533125200
713164326201166
oct2043756216500
9447182760720
10142266146112
1155375592272
12236a4789800
1310553212c5c
146c585a7236
153a79b572ac
hex211fb91d40

142266146112 has 168 divisors, whose sum is σ = 419544815976. Its totient is φ = 46058471424.

The previous prime is 142266146111. The next prime is 142266146173. The reversal of 142266146112 is 211641662241.

142266146112 is a `hidden beast` number, since 1 + 4 + 2 + 26 + 6 + 14 + 611 + 2 = 666.

142266146112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 83345380416 + 58920765696 = 288696^2 + 242736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142266146111) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12632388 + ... + 12643644.

Almost surely, 2142266146112 is an apocalyptic number.

142266146112 is a gapful number since it is divisible by the number (12) 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 142266146112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209772407988).

142266146112 is an abundant number, since it is smaller than the sum of its proper divisors (277278669864).

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

142266146112 is a wasteful number, since it uses less digits than its factorization.

142266146112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11905 (or 11892 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The spelling of 142266146112 in words is "one hundred forty-two billion, two hundred sixty-six million, one hundred forty-six thousand, one hundred twelve".