Base | Representation |
---|---|
bin | 10000111110110… |
… | …00000000000000 |
3 | 100221000211101000 |
4 | 20133120000000 |
5 | 242431124441 |
6 | 22045012000 |
7 | 3346512150 |
oct | 1037300000 |
9 | 327024330 |
10 | 142442496 |
11 | 73450179 |
12 | 3b854000 |
13 | 23684001 |
14 | 14cbc760 |
15 | c78a2b6 |
hex | 87d8000 |
142442496 has 256 divisors, whose sum is σ = 503308800. Its totient is φ = 38928384.
The previous prime is 142442479. The next prime is 142442497. The reversal of 142442496 is 694244241.
It is a happy number.
142442496 is a `hidden beast` number, since 142 + 4 + 424 + 96 = 666.
It is a tau number, because it is divible by the number of its divisors (256).
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 and also a Zuckerman number because it is divisible by the product of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 142442496.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (142442497) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6193141 + ... + 6193163.
It is an arithmetic number, because the mean of its divisors is an integer number (1966050).
Almost surely, 2142442496 is an apocalyptic number.
142442496 is a gapful number since it is divisible by the number (16) 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 142442496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251654400).
142442496 is an abundant number, since it is smaller than the sum of its proper divisors (360866304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142442496 is an frugal number, since it uses more digits than its factorization.
142442496 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 69 (or 35 counting only the distinct ones).
The product of its digits is 55296, while the sum is 36.
The square root of 142442496 is about 11934.9275657626. The cubic root of 142442496 is about 522.2516952398.
The spelling of 142442496 in words is "one hundred forty-two million, four hundred forty-two thousand, four hundred ninety-six".
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