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1000442104341 = 33745719722083
BaseRepresentation
bin11101000111011101111…
…11110000101000010101
310112122022112022122121220
432203232333300220111
5112342401134314331
62043332522200553
7132164613401661
oct16435677605025
93478275278556
101000442104341
11356315539489
12141a86053159
1373458a5c744
14365c904b8a1
151b055495296
hexe8eeff0a15

1000442104341 has 16 divisors (see below), whose sum is σ = 1372972599744. Its totient is φ = 647515396224.

The previous prime is 1000442104309. The next prime is 1000442104373. The reversal of 1000442104341 is 1434012440001.

It is an interprime number because it is at equal distance from previous prime (1000442104309) and next prime (1000442104373).

It is not a de Polignac number, because 1000442104341 - 25 = 1000442104309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000442104241) 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 15 ways as a sum of consecutive naturals, for example, 9810315 + ... + 9911768.

It is an arithmetic number, because the mean of its divisors is an integer number (85810787484).

Almost surely, 21000442104341 is an apocalyptic number.

It is an amenable number.

1000442104341 is a deficient number, since it is larger than the sum of its proper divisors (372530495403).

1000442104341 is a wasteful number, since it uses less digits than its factorization.

1000442104341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19722580.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1000442104341 its reverse (1434012440001), we get a palindrome (2434454544342).

The spelling of 1000442104341 in words is "one trillion, four hundred forty-two million, one hundred four thousand, three hundred forty-one".

Divisors: 1 3 37 111 457 1371 16909 50727 19722083 59166249 729717071 2189151213 9012991931 27038975793 333480701447 1000442104341