Base | Representation |
---|---|
bin | 1000011001010001100… |
… | …0110101110001101100 |
3 | 111210021011212220022200 |
4 | 2012110120311301230 |
5 | 4330332201213320 |
6 | 150131053141500 |
7 | 13263664121052 |
oct | 2062430656154 |
9 | 453234786280 |
10 | 144223460460 |
11 | 5618a424532 |
12 | 23b5018a890 |
13 | 107a5893221 |
14 | 6da25101d2 |
15 | 3b418d7290 |
hex | 2194635c6c |
144223460460 has 144 divisors (see below), whose sum is σ = 440965298592. Its totient is φ = 38154240000.
The previous prime is 144223460449. The next prime is 144223460471. The reversal of 144223460460 is 64064322441.
144223460460 is a `hidden beast` number, since 1 + 4 + 42 + 2 + 3 + 4 + 604 + 6 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (144223460449) and next prime (144223460471).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11605050 + ... + 11617470.
It is an arithmetic number, because the mean of its divisors is an integer number (3062259018).
Almost surely, 2144223460460 is an apocalyptic number.
144223460460 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 144223460460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220482649296).
144223460460 is an abundant number, since it is smaller than the sum of its proper divisors (296741838132).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144223460460 is a wasteful number, since it uses less digits than its factorization.
144223460460 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12944 (or 12939 counting only the distinct ones).
The product of its (nonzero) digits is 110592, while the sum is 36.
The spelling of 144223460460 in words is "one hundred forty-four billion, two hundred twenty-three million, four hundred sixty thousand, four hundred sixty".
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