Base | Representation |
---|---|
bin | 100000110111101100000000… |
… | …010111011101011111000010 |
3 | 200221212012202100110001021200 |
4 | 200313230000113131133002 |
5 | 122422020201423204041 |
6 | 1231243532150402030 |
7 | 42310266243205446 |
oct | 4067540027353702 |
9 | 627765670401250 |
10 | 144564310366146 |
11 | 4207641a466240 |
12 | 14269647060316 |
13 | 62884820c2998 |
14 | 279ad42968826 |
15 | 11aa6b1e5d1b6 |
hex | 837b005dd7c2 |
144564310366146 has 96 divisors (see below), whose sum is σ = 341875783416960. Its totient is φ = 43784509824000.
The previous prime is 144564310366031. The next prime is 144564310366163. The reversal of 144564310366146 is 641663013465441.
144564310366146 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 6 + 4 + 3 + 10 + 3 + 6 + 614 + 6 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 144564310366092 and 144564310366101.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5083297795 + ... + 5083326233.
It is an arithmetic number, because the mean of its divisors is an integer number (3561206077260).
Almost surely, 2144564310366146 is an apocalyptic number.
144564310366146 is an abundant number, since it is smaller than the sum of its proper divisors (197311473050814).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144564310366146 is a wasteful number, since it uses less digits than its factorization.
144564310366146 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 40952 (or 40949 counting only the distinct ones).
The product of its (nonzero) digits is 14929920, while the sum is 54.
The spelling of 144564310366146 in words is "one hundred forty-four trillion, five hundred sixty-four billion, three hundred ten million, three hundred sixty-six thousand, one hundred forty-six".
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