Base | Representation |
---|---|
bin | 1000011001100100001… |
… | …0110110100010000000 |
3 | 111210110121212220120020 |
4 | 2012121002312202000 |
5 | 4331012201114324 |
6 | 150142523413440 |
7 | 13265633133024 |
oct | 2063102664200 |
9 | 453417786506 |
10 | 144301582464 |
11 | 5621a532776 |
12 | 23b72384280 |
13 | 107b8b16870 |
14 | 6daca48384 |
15 | 3b486b9679 |
hex | 21990b6880 |
144301582464 has 64 divisors (see below), whose sum is σ = 412785791040. Its totient is φ = 44400485376.
The previous prime is 144301582463. The next prime is 144301582483. The reversal of 144301582464 is 464285103441.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-2 number, since 2×1443015824642 (a number of 23 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (144301582463) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14448292 + ... + 14458275.
It is an arithmetic number, because the mean of its divisors is an integer number (6449777985).
Almost surely, 2144301582464 is an apocalyptic number.
It is an amenable number.
144301582464 is an abundant number, since it is smaller than the sum of its proper divisors (268484208576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144301582464 is a wasteful number, since it uses less digits than its factorization.
144301582464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 28906597 (or 28906585 counting only the distinct ones).
The product of its (nonzero) digits is 368640, while the sum is 42.
The spelling of 144301582464 in words is "one hundred forty-four billion, three hundred one million, five hundred eighty-two thousand, four hundred sixty-four".
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