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1432023214041 = 327295913284937
BaseRepresentation
bin10100110101101011001…
…111000010011111011001
312001220022011022121202100
4110311223033002133121
5141430240420322131
63013510135154013
7205313604324060
oct24655317023731
95056264277670
101432023214041
11502354853a42
121b1651815909
13a50681b3634
144d44b6331d7
15273b46d47e6
hex14d6b3c27d9

1432023214041 has 48 divisors (see below), whose sum is σ = 2486940393600. Its totient is φ = 776690498304.

The previous prime is 1432023214009. The next prime is 1432023214073. The reversal of 1432023214041 is 1404123202341.

1432023214041 is a `hidden beast` number, since 1 + 4 + 3 + 20 + 232 + 1 + 404 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1432023214009) and next prime (1432023214073).

It is not a de Polignac number, because 1432023214041 - 25 = 1432023214009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1432023213996 and 1432023214014.

It is not an unprimeable number, because it can be changed into a prime (1432023614041) 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, 6534676 + ... + 6750261.

It is an arithmetic number, because the mean of its divisors is an integer number (51811258200).

Almost surely, 21432023214041 is an apocalyptic number.

It is an amenable number.

1432023214041 is a deficient number, since it is larger than the sum of its proper divisors (1054917179559).

1432023214041 is a wasteful number, since it uses less digits than its factorization.

1432023214041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13285038 (or 13285035 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1432023214041 its reverse (1404123202341), we get a palindrome (2836146416382).

The spelling of 1432023214041 in words is "one trillion, four hundred thirty-two billion, twenty-three million, two hundred fourteen thousand, forty-one".

Divisors: 1 3 7 9 21 29 59 63 87 177 203 261 413 531 609 1239 1711 1827 3717 5133 11977 15399 35931 107793 13284937 39854811 92994559 119564433 278983677 385263173 783811283 836951031 1155789519 2351433849 2696842211 3467368557 5486678981 7054301547 8090526633 16460036943 22730527207 24271579899 49380110829 68191581621 159113690449 204574744863 477341071347 1432023214041