Base | Representation |
---|---|
bin | 100000110000100111101000… |
… | …001011100101101011110000 |
3 | 200220010202222111110021002001 |
4 | 200300213220023211223300 |
5 | 122341040404230440433 |
6 | 1230232441031303344 |
7 | 42230222234222044 |
oct | 4060475013455360 |
9 | 626122874407061 |
10 | 144078573296368 |
11 | 419a941a561387 |
12 | 141ab48681ab54 |
13 | 6251721ba29b9 |
14 | 2781623b02024 |
15 | 119cc3359857d |
hex | 8309e82e5af0 |
144078573296368 has 120 divisors (see below), whose sum is σ = 322909857111600. Its totient is φ = 62018233933824.
The previous prime is 144078573296363. The next prime is 144078573296381. The reversal of 144078573296368 is 863692375870441.
It is a super-2 number, since 2×1440785732963682 (a number of 29 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 144078573296368.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144078573296363) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25727005 + ... + 30822652.
It is an arithmetic number, because the mean of its divisors is an integer number (2690915475930).
It is a 1-persistent number, because it is pandigital, but 2⋅144078573296368 = 288157146592736 is not.
Almost surely, 2144078573296368 is an apocalyptic number.
It is an amenable number.
144078573296368 is an abundant number, since it is smaller than the sum of its proper divisors (178831283815232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144078573296368 is a wasteful number, since it uses less digits than its factorization.
144078573296368 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 56549747 (or 56549724 counting only the distinct ones).
The product of its (nonzero) digits is 1463132160, while the sum is 73.
It can be divided in two parts, 14407857 and 3296368, that added together give a triangular number (17704225 = T5950).
The spelling of 144078573296368 in words is "one hundred forty-four trillion, seventy-eight billion, five hundred seventy-three million, two hundred ninety-six thousand, three hundred sixty-eight".
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