Base | Representation |
---|---|
bin | 1000010010010000110… |
… | …1010001100100000000 |
3 | 111121102000102022210000 |
4 | 2010210031101210000 |
5 | 4313003343132402 |
6 | 145220221440000 |
7 | 13166231525043 |
oct | 2044415214400 |
9 | 447360368700 |
10 | 142341380352 |
11 | 55403aa8926 |
12 | 23705a10000 |
13 | 10565995062 |
14 | 6c6458cc5a |
15 | 3a81568c1c |
hex | 2124351900 |
142341380352 has 180 divisors, whose sum is σ = 424760420700. Its totient is φ = 47410900992.
The previous prime is 142341380351. The next prime is 142341380393. The reversal of 142341380352 is 253083143241.
142341380352 is a `hidden beast` number, since 14 + 234 + 1 + 380 + 35 + 2 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 99997618176 + 42343762176 = 316224^2 + 205776^2 .
It is a super-2 number, since 2×1423413803522 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (142341380351) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52854718 + ... + 52857410.
It is an arithmetic number, because the mean of its divisors is an integer number (2359780115).
Almost surely, 2142341380352 is an apocalyptic number.
142341380352 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 142341380352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212380210350).
142341380352 is an abundant number, since it is smaller than the sum of its proper divisors (282419040348).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142341380352 is an equidigital number, since it uses as much as digits as its factorization.
142341380352 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5270 (or 5247 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The spelling of 142341380352 in words is "one hundred forty-two billion, three hundred forty-one million, three hundred eighty thousand, three hundred fifty-two".
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