Base | Representation |
---|---|
bin | 1000011000101111001… |
… | …1000001010110011000 |
3 | 111202220010200020200000 |
4 | 2012023303001112120 |
5 | 4330033302004124 |
6 | 150104504013000 |
7 | 13260264041535 |
oct | 2061363012630 |
9 | 452803606600 |
10 | 144079328664 |
11 | 56116030147 |
12 | 23b0ba61160 |
13 | 10781a6a33b |
14 | 6d8b311d8c |
15 | 3b33e166c9 |
hex | 218bcc1598 |
144079328664 has 72 divisors (see below), whose sum is σ = 404714260860. Its totient is φ = 48020864256.
The previous prime is 144079328611. The next prime is 144079328669. The reversal of 144079328664 is 466823970441.
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.
144079328664 is a `hidden beast` number, since 14 + 407 + 93 + 2 + 86 + 64 = 666.
144079328664 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a self number, because there is not a number n which added to its sum of digits gives 144079328664.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144079328669) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16731592 + ... + 16740200.
Almost surely, 2144079328664 is an apocalyptic number.
It is an amenable number.
144079328664 is an abundant number, since it is smaller than the sum of its proper divisors (260634932196).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144079328664 is an frugal number, since it uses more digits than its factorization.
144079328664 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17239 (or 8614 counting only the distinct ones).
The product of its (nonzero) digits is 6967296, while the sum is 54.
Multiplying 144079328664 by its sum of digits (54), we get a square (7780283747856 = 27893162).
144079328664 divided by its sum of digits (54) gives a square (2668135716 = 516542).
The spelling of 144079328664 in words is "one hundred forty-four billion, seventy-nine million, three hundred twenty-eight thousand, six hundred sixty-four".
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