Base | Representation |
---|---|
bin | 1000011001100000110… |
… | …1100110010100100000 |
3 | 111210102122121200000000 |
4 | 2012120031212110200 |
5 | 4331000112404212 |
6 | 150141304300000 |
7 | 13265403361152 |
oct | 2063015462440 |
9 | 453378550000 |
10 | 144287622432 |
11 | 56212668358 |
12 | 23b69771600 |
13 | 107b5c696a5 |
14 | 6daac52ad2 |
15 | 3b4735d1dc |
hex | 2198366520 |
144287622432 has 162 divisors, whose sum is σ = 426592322793. Its totient is φ = 48037857408.
The previous prime is 144287622379. The next prime is 144287622433. The reversal of 144287622432 is 234226782441.
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.
144287622432 is a `hidden beast` number, since 14 + 4 + 2 + 8 + 7 + 622 + 4 + 3 + 2 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 143456107536 + 831514896 = 378756^2 + 28836^2 .
It is a tau number, because it is divible by the number of its divisors (162).
It is an ABA number since it can be written as A⋅BA, here for A=2, B=268596.
It is not an unprimeable number, because it can be changed into a prime (144287622433) by changing a digit.
It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 174049794 + ... + 174050622.
Almost surely, 2144287622432 is an apocalyptic number.
144287622432 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 144287622432
144287622432 is an abundant number, since it is smaller than the sum of its proper divisors (282304700361).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144287622432 is an frugal number, since it uses more digits than its factorization.
144287622432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1692 (or 834 counting only the distinct ones).
The product of its digits is 1032192, while the sum is 45.
The spelling of 144287622432 in words is "one hundred forty-four billion, two hundred eighty-seven million, six hundred twenty-two thousand, four hundred thirty-two".
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