Base | Representation |
---|---|
bin | 1000011011111011011… |
… | …1100001111010000000 |
3 | 111212002211221012200000 |
4 | 2012332313201322000 |
5 | 4333312123223413 |
6 | 150325512400000 |
7 | 13320436636056 |
oct | 2067667417200 |
9 | 455084835600 |
10 | 144936148608 |
11 | 5651574a6a9 |
12 | 2410a9a6000 |
13 | 1088a4258a4 |
14 | 702d02c1d6 |
15 | 3b84264073 |
hex | 21bede1e80 |
144936148608 has 96 divisors (see below), whose sum is σ = 432515952960. Its totient is φ = 48312039168.
The previous prime is 144936148607. The next prime is 144936148619. The reversal of 144936148608 is 806841639441.
144936148608 is a `hidden beast` number, since 1 + 4 + 493 + 6 + 148 + 6 + 0 + 8 = 666.
144936148608 is digitally balanced in base 2 and base 3, because in such bases 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 (96).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (144936148607) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2298760 + ... + 2360967.
It is an arithmetic number, because the mean of its divisors is an integer number (4505374510).
Almost surely, 2144936148608 is an apocalyptic number.
144936148608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is an amenable number.
144936148608 is an abundant number, since it is smaller than the sum of its proper divisors (287579804352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144936148608 is an frugal number, since it uses more digits than its factorization.
144936148608 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4659756 (or 4659732 counting only the distinct ones).
The product of its (nonzero) digits is 3981312, while the sum is 54.
The spelling of 144936148608 in words is "one hundred forty-four billion, nine hundred thirty-six million, one hundred forty-eight thousand, six hundred eight".
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