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144436343634441 = 3337307470947637
BaseRepresentation
bin100000110101110100110100…
…111101000111101000001001
3200221101222110010110112102000
4200311310310331013220021
5122412421112432300231
61231105050143301213
742265116146013135
oct4065646475075011
9627358403415360
10144436343634441
1142027122596731
12142488932aa809
13627939a542cb1
142794a835383c5
1511a71c287e6e6
hex835d34f47a09

144436343634441 has 32 divisors (see below), whose sum is σ = 220478846206080. Its totient is φ = 93383264847168.

The previous prime is 144436343634437. The next prime is 144436343634449.

144436343634441 is a `hidden beast` number, since 1 + 4 + 4 + 43 + 63 + 43 + 63 + 4 + 441 = 666.

144436343634441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144436343634441 - 22 = 144436343634437 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144436343634449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 235167126 + ... + 235780511.

It is an arithmetic number, because the mean of its divisors is an integer number (6889963943940).

Almost surely, 2144436343634441 is an apocalyptic number.

It is an amenable number.

144436343634441 is a deficient number, since it is larger than the sum of its proper divisors (76042502571639).

144436343634441 is a wasteful number, since it uses less digits than its factorization.

144436343634441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470947990 (or 470947984 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 54.

The spelling of 144436343634441 in words is "one hundred forty-four trillion, four hundred thirty-six billion, three hundred forty-three million, six hundred thirty-four thousand, four hundred forty-one".

Divisors: 1 3 9 27 37 111 307 333 921 999 2763 8289 11359 34077 102231 306693 470947637 1412842911 4238528733 12715586199 17425062569 52275187707 144580924559 156825563121 433742773677 470476689363 1301228321031 3903684963093 5349494208683 16048482626049 48145447878147 144436343634441