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3142441448811 = 32732935102057
BaseRepresentation
bin101101101110101000000…
…110110011010101101011
3102010102012010222121100100
4231232220012303111223
5402441210002330221
610403341230040443
7443014425411000
oct55565006632553
912112163877310
103142441448811
11100177a302505
12429039349123
1319a43c160962
14ac1488938a7
1556b1e977926
hex2dba81b356b

3142441448811 has 48 divisors (see below), whose sum is σ = 5475921048000. Its totient is φ = 1733760749952.

The previous prime is 3142441448759. The next prime is 3142441448821. The reversal of 3142441448811 is 1188441442413.

3142441448811 is a `hidden beast` number, since 3 + 1 + 424 + 4 + 144 + 8 + 81 + 1 = 666.

It is not a de Polignac number, because 3142441448811 - 27 = 3142441448683 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3142441448821) 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 47 ways as a sum of consecutive naturals, for example, 17461506 + ... + 17640551.

It is an arithmetic number, because the mean of its divisors is an integer number (114081688500).

Almost surely, 23142441448811 is an apocalyptic number.

3142441448811 is a deficient number, since it is larger than the sum of its proper divisors (2333479599189).

3142441448811 is a wasteful number, since it uses less digits than its factorization.

3142441448811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35102113 (or 35102096 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The spelling of 3142441448811 in words is "three trillion, one hundred forty-two billion, four hundred forty-one million, four hundred forty-eight thousand, eight hundred eleven".

Divisors: 1 3 7 9 21 29 49 63 87 147 203 261 343 441 609 1029 1421 1827 3087 4263 9947 12789 29841 89523 35102057 105306171 245714399 315918513 737143197 1017959653 1720000793 2211429591 3053878959 5160002379 7125717571 9161636877 12040005551 15480007137 21377152713 36120016653 49880022997 64131458139 108360049959 149640068991 349160160979 448920206973 1047480482937 3142441448811