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142248331008 = 283374171707
BaseRepresentation
bin1000010001111010101…
…0010100011100000000
3111121011112022221002000
42010132222110130000
54312311033043013
6145203055224000
713164021602130
oct2043652243400
9447145287060
10142248331008
1155366524543
122369a818000
131054c616184
146c5608aac0
153a782d8973
hex211ea94700

142248331008 has 288 divisors, whose sum is σ = 492479070720. Its totient is φ = 39650549760.

The previous prime is 142248330941. The next prime is 142248331039. The reversal of 142248331008 is 800133842241.

It is a happy number.

142248331008 is a `hidden beast` number, since 142 + 2 + 483 + 31 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1947891 + ... + 2019597.

Almost surely, 2142248331008 is an apocalyptic number.

142248331008 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 142248331008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246239535360).

142248331008 is an abundant number, since it is smaller than the sum of its proper divisors (350230739712).

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

142248331008 is an equidigital number, since it uses as much as digits as its factorization.

142248331008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71780 (or 71760 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 142248331008 in words is "one hundred forty-two billion, two hundred forty-eight million, three hundred thirty-one thousand, eight".