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982041140289 = 311228123415573
BaseRepresentation
bin11100100101001100011…
…01101001110001000001
310110212211010122211022210
432102212031221301001
5112042210012442124
62031050553452333
7130643615651316
oct16224615516101
93425733584283
10982041140289
11349532692880
1213a3ab7110a9
13717b5740b31
1435761288d0d
151a829cd7a29
hexe4a6369c41

982041140289 has 32 divisors (see below), whose sum is σ = 1429916681088. Its totient is φ = 594554688000.

The previous prime is 982041140281. The next prime is 982041140329.

982041140289 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 982041140289 - 23 = 982041140281 is a prime.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (982041140281) 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, 176211307 + ... + 176216879.

It is an arithmetic number, because the mean of its divisors is an integer number (44684896284).

Almost surely, 2982041140289 is an apocalyptic number.

It is an amenable number.

982041140289 is a deficient number, since it is larger than the sum of its proper divisors (447875540799).

982041140289 is a wasteful number, since it uses less digits than its factorization.

982041140289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10209.

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 982041140289 in words is "nine hundred eighty-two billion, forty-one million, one hundred forty thousand, two hundred eighty-nine".

Divisors: 1 3 11 33 2281 2341 5573 6843 7023 16719 25091 25751 61303 75273 77253 183909 5339821 12712013 13046393 16019463 38136039 39139179 58738031 139832143 143510323 176214093 419496429 430530969 29758822433 89276467299 327347046763 982041140289