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144141140224 = 281753321193
BaseRepresentation
bin1000011000111101111…
…0110100000100000000
3111210001102222121012001
42012033132310010000
54330200112441344
6150114552513344
713261644322264
oct2061736640400
9453042877161
10144141140224
1156147a09084
1223b286ab854
13107917cca23
146d956020a4
153b39575ed4
hex218f7b4100

144141140224 has 36 divisors (see below), whose sum is σ = 287884255036. Its totient is φ = 72029233152.

The previous prime is 144141140203. The next prime is 144141140243. The reversal of 144141140224 is 422041141441.

It can be written as a sum of positive squares in 2 ways, for example, as 24701780224 + 119439360000 = 157168^2 + 345600^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144141140192 and 144141140201.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 288172 + ... + 609364.

Almost surely, 2144141140224 is an apocalyptic number.

It is an amenable number.

144141140224 is a deficient number, since it is larger than the sum of its proper divisors (143743114812).

144141140224 is an equidigital number, since it uses as much as digits as its factorization.

144141140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322962 (or 322948 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 144141140224 its reverse (422041141441), we get a palindrome (566182281665).

The spelling of 144141140224 in words is "one hundred forty-four billion, one hundred forty-one million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 1753 3506 7012 14024 28048 56096 112192 224384 321193 448768 642386 1284772 2569544 5139088 10278176 20556352 41112704 82225408 563051329 1126102658 2252205316 4504410632 9008821264 18017642528 36035285056 72070570112 144141140224