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144564310366101 = 341784744572421
BaseRepresentation
bin100000110111101100000000…
…010111011101011110010101
3200221212012202100110001020000
4200313230000113131132111
5122422020201423203401
61231243532150401513
742310266243205353
oct4067540027353625
9627765670401200
10144564310366101
114207641a4661aa
1214269647060299
1362884820c2962
14279ad429687d3
1511aa6b1e5d186
hex837b005dd795

144564310366101 has 10 divisors (see below), whose sum is σ = 215954093263062. Its totient is φ = 96376206910680.

The previous prime is 144564310366031. The next prime is 144564310366163. The reversal of 144564310366101 is 101663013465441.

It is a happy number.

144564310366101 is a `hidden beast` number, since 1 + 4 + 4 + 56 + 431 + 0 + 3 + 66 + 101 = 666.

144564310366101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 144233518595076 + 330791771025 = 12009726^2 + 575145^2 .

It is not a de Polignac number, because 144564310366101 - 29 = 144564310365589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144564310366001) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 892372286130 + ... + 892372286291.

Almost surely, 2144564310366101 is an apocalyptic number.

It is an amenable number.

144564310366101 is a deficient number, since it is larger than the sum of its proper divisors (71389782896961).

144564310366101 is an equidigital number, since it uses as much as digits as its factorization.

144564310366101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784744572433 (or 1784744572424 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 144564310366101 in words is "one hundred forty-four trillion, five hundred sixty-four billion, three hundred ten million, three hundred sixty-six thousand, one hundred one".

Divisors: 1 3 9 27 81 1784744572421 5354233717263 16062701151789 48188103455367 144564310366101