Base | Representation |
---|---|
bin | 1000011001000101001… |
… | …1000011100010000000 |
3 | 111210010120022202000000 |
4 | 2012101103003202000 |
5 | 4330230413043123 |
6 | 150122002000000 |
7 | 13262464325154 |
oct | 2062123034200 |
9 | 453116282000 |
10 | 144171612288 |
11 | 56163131200 |
12 | 23b36946000 |
13 | 10797c0b832 |
14 | 6d99695064 |
15 | 3b3c094b43 |
hex | 21914c3880 |
144171612288 has 504 divisors, whose sum is σ = 477561150885. Its totient is φ = 43301744640.
The previous prime is 144171612283. The next prime is 144171612293. The reversal of 144171612288 is 882216171441.
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.
144171612288 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 7 + 1 + 612 + 28 + 8 = 666.
It is an interprime number because it is at equal distance from previous prime (144171612283) and next prime (144171612293).
It can be written as a sum of positive squares in 2 ways, for example, as 91054269504 + 53117342784 = 301752^2 + 230472^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=268488.
It is not an unprimeable number, because it can be changed into a prime (144171612283) by changing a digit.
It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1275854920 + ... + 1275855032.
Almost surely, 2144171612288 is an apocalyptic number.
144171612288 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 144171612288
144171612288 is an abundant number, since it is smaller than the sum of its proper divisors (333389538597).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144171612288 is an frugal number, since it uses more digits than its factorization.
144171612288 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 280 (or 129 counting only the distinct ones).
The product of its digits is 172032, while the sum is 45.
The spelling of 144171612288 in words is "one hundred forty-four billion, one hundred seventy-one million, six hundred twelve thousand, two hundred eighty-eight".
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