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144662404266441 = 3310155987947509
BaseRepresentation
bin100000111001000111010111…
…001101111111100111001001
3200222012120221200102111022000
4200321013113031333213021
5122430122100443011231
61231400554023221213
742320341143461115
oct4071072715774711
9628176850374260
10144662404266441
1142103a8795a426
12142846625a7809
1362947b5a44379
1427a19aa7b4745
1511ad003b826e6
hex8391d737f9c9

144662404266441 has 32 divisors (see below), whose sum is σ = 216440694710400. Its totient is φ = 95484929198400.

The previous prime is 144662404266421. The next prime is 144662404266463.

144662404266441 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 62 + 40 + 42 + 66 + 441 = 666.

144662404266441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144662404266441 - 211 = 144662404264393 is a prime.

It is a super-2 number, since 2×1446624042664412 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (144662404266421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152202795 + ... + 153150303.

It is an arithmetic number, because the mean of its divisors is an integer number (6763771709700).

Almost surely, 2144662404266441 is an apocalyptic number.

It is an amenable number.

144662404266441 is a deficient number, since it is larger than the sum of its proper divisors (71778290443959).

144662404266441 is a wasteful number, since it uses less digits than its factorization.

144662404266441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003606 (or 1003600 counting only the distinct ones).

The product of its (nonzero) digits is 21233664, while the sum is 54.

The spelling of 144662404266441 in words is "one hundred forty-four trillion, six hundred sixty-two billion, four hundred four million, two hundred sixty-six thousand, four hundred forty-one".

Divisors: 1 3 9 27 101 303 909 2727 55987 167961 503883 947509 1511649 2842527 5654687 8527581 16964061 25582743 50892183 95698409 152676549 287095227 861285681 2583857043 53048186383 159144559149 477433677447 1432301032341 5357866824683 16073600474049 48220801422147 144662404266441