| Base | Representation |
|---|---|
| bin | 1000011000101010011… |
| … | …0110100000000000000 |
| 3 | 111202211202002021112000 |
| 4 | 2012022212310000000 |
| 5 | 4330013143213130 |
| 6 | 150102511504000 |
| 7 | 13256632164663 |
| oct | 2061246640000 |
| 9 | 452752067460 |
| 10 | 144059351040 |
| 11 | 56105825710 |
| 12 | 23b05228000 |
| 13 | 1077a894167 |
| 14 | 6d887d16da |
| 15 | 3b322bc260 |
| hex | 218a9b4000 |
144059351040 has 960 divisors, whose sum is σ = 579802890240. Its totient is φ = 33619968000.
The previous prime is 144059351027. The next prime is 144059351083. The reversal of 144059351040 is 40153950441.
It is a happy number.
144059351040 is a `hidden beast` number, since 14 + 4 + 0 + 5 + 93 + 510 + 40 = 666.
144059351040 is digitally balanced in base 3, 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 (960).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 144059350986 and 144059351004.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 754237345 + ... + 754237535.
It is an arithmetic number, because the mean of its divisors is an integer number (603961344).
Almost surely, 2144059351040 is an apocalyptic number.
144059351040 is a gapful number since it is divisible by the number (10) 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 144059351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289901445120).
144059351040 is an abundant number, since it is smaller than the sum of its proper divisors (435743539200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144059351040 is a wasteful number, since it uses less digits than its factorization.
144059351040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 275 (or 243 counting only the distinct ones).
The product of its (nonzero) digits is 43200, while the sum is 36.
The spelling of 144059351040 in words is "one hundred forty-four billion, fifty-nine million, three hundred fifty-one thousand, forty".
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