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142144140996 = 2232111379834211
BaseRepresentation
bin1000010001100001110…
…0110111011011000100
3111120220021021112020200
42010120130313123010
54312102400002441
6145144454130500
713161315156144
oct2043034673304
9446807245220
10142144140996
1155312730aa0
122366b950a30
1310533b66490
146c462c8924
153a6e0a77b6
hex21187376c4

142144140996 has 288 divisors, whose sum is σ = 432721336320. Its totient is φ = 38775110400.

The previous prime is 142144140953. The next prime is 142144141019. The reversal of 142144140996 is 699041441241.

142144140996 is a `hidden beast` number, since 14 + 2 + 144 + 1 + 409 + 96 = 666.

142144140996 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 33753331 + ... + 33757541.

It is an arithmetic number, because the mean of its divisors is an integer number (1502504640).

Almost surely, 2142144140996 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 142144140996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216360668160).

142144140996 is an abundant number, since it is smaller than the sum of its proper divisors (290577195324).

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

142144140996 is a wasteful number, since it uses less digits than its factorization.

142144140996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4407 (or 4402 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 142144140996 in words is "one hundred forty-two billion, one hundred forty-four million, one hundred forty thousand, nine hundred ninety-six".