Base | Representation |
---|---|
bin | 1000010001101111001… |
… | …0101000011111001000 |
3 | 111121001011201112102200 |
4 | 2010123302220133020 |
5 | 4312211221204012 |
6 | 145154215200200 |
7 | 13162565401161 |
oct | 2043362503710 |
9 | 447034645380 |
10 | 142200178632 |
11 | 55341325996 |
12 | 23686676060 |
13 | 10542656a45 |
14 | 6c4d914768 |
15 | 3a73e763dc |
hex | 211bca87c8 |
142200178632 has 108 divisors (see below), whose sum is σ = 406635925995. Its totient is φ = 44886121056.
The previous prime is 142200178597. The next prime is 142200178633. The reversal of 142200178632 is 236871002241.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
142200178632 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 0 + 0 + 17 + 8 + 632 = 666.
It can be written as a sum of positive squares in only one way, i.e., 71100089316 + 71100089316 = 266646^2 + 266646^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=266646.
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 (142200178633) 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 26 ways as a sum of consecutive naturals, for example, 60794119 + ... + 60796457.
Almost surely, 2142200178632 is an apocalyptic number.
142200178632 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 142200178632
142200178632 is an abundant number, since it is smaller than the sum of its proper divisors (264435747363).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
142200178632 is an equidigital number, since it uses as much as digits as its factorization.
142200178632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4728 (or 2363 counting only the distinct ones).
The product of its (nonzero) digits is 32256, while the sum is 36.
The spelling of 142200178632 in words is "one hundred forty-two billion, two hundred million, one hundred seventy-eight thousand, six hundred thirty-two".
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