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144300410120420 = 22513735254931177
BaseRepresentation
bin100000110011110110001110…
…101011111010100011100100
3200220220222120200120112201122
4200303312032223322203210
5122403204214442323140
61230522405424313112
742252234453140111
oct4063661653724344
9626828520515648
10144300410120420
1141a84507677704
1214226477472798
1362696162b0928
14278c26a009908
1511a38b8b67ab5
hex833d8eafa8e4

144300410120420 has 24 divisors (see below), whose sum is σ = 303251568420024. Its totient is φ = 57678124587776.

The previous prime is 144300410120393. The next prime is 144300410120431. The reversal of 144300410120420 is 24021014003441.

It can be written as a sum of positive squares in 4 ways, for example, as 32961446334436 + 111338963785984 = 5741206^2 + 10551728^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 144300410120420.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2627438129 + ... + 2627493048.

It is an arithmetic number, because the mean of its divisors is an integer number (12635482017501).

Almost surely, 2144300410120420 is an apocalyptic number.

144300410120420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144300410120420 is an abundant number, since it is smaller than the sum of its proper divisors (158951158299604).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144300410120420 is a wasteful number, since it uses less digits than its factorization.

144300410120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254932559 (or 5254932557 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 144300410120420 its reverse (24021014003441), we get a palindrome (168321424123861).

The spelling of 144300410120420 in words is "one hundred forty-four trillion, three hundred billion, four hundred ten million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1373 2746 5492 6865 13730 27460 5254931177 10509862354 21019724708 26274655885 52549311770 105098623540 7215020506021 14430041012042 28860082024084 36075102530105 72150205060210 144300410120420