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1406088316197 = 321012571760149
BaseRepresentation
bin10100011101100001011…
…001010000010100100101
311222102100201020022012100
4110131201121100110211
5141014132102104242
62553540440242313
7203405115326025
oct24354131202445
94872321208170
101406088316197
114a235621a374
121a8614170399
13a2794085336
144c0ab047a85
15268978e054c
hex14761650525

1406088316197 has 24 divisors (see below), whose sum is σ = 2051239390200. Its totient is φ = 928059580800.

The previous prime is 1406088316187. The next prime is 1406088316223. The reversal of 1406088316197 is 7916138806041.

1406088316197 is a `hidden beast` number, since 1 + 4 + 0 + 60 + 88 + 316 + 197 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 482338584036 + 923749732161 = 694506^2 + 961119^2 .

It is not a de Polignac number, because 1406088316197 - 239 = 856332502309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1406088316187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23346679 + ... + 23406827.

It is an arithmetic number, because the mean of its divisors is an integer number (85468307925).

Almost surely, 21406088316197 is an apocalyptic number.

It is an amenable number.

1406088316197 is a deficient number, since it is larger than the sum of its proper divisors (645151074003).

1406088316197 is a wasteful number, since it uses less digits than its factorization.

1406088316197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85973 (or 85970 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1406088316197 in words is "one trillion, four hundred six billion, eighty-eight million, three hundred sixteen thousand, one hundred ninety-seven".

Divisors: 1 3 9 101 303 909 25717 60149 77151 180447 231453 541341 2597417 6075049 7792251 18225147 23376753 54675441 1546851833 4640555499 13921666497 156232035133 468696105399 1406088316197