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20405230453431 = 341926994912471
BaseRepresentation
bin1001010001110111101101…
…00000110100001010110111
32200020201110121001102220000
410220323312200310022313
510133304402444002211
6111222011121042343
74204141430032155
oct450736640641267
980221417042800
1020405230453431
11655789a69a51a
1223568064863b3
13b5028843b425
14507892d503d5
15255bc0a58656
hex128ef68342b7

20405230453431 has 40 divisors (see below), whose sum is σ = 32098092048000. Its totient is φ = 12882736426320.

The previous prime is 20405230453339. The next prime is 20405230453441. The reversal of 20405230453431 is 13435403250402.

20405230453431 is a `hidden beast` number, since 2 + 0 + 4 + 0 + 5 + 2 + 304 + 5 + 343 + 1 = 666.

It is not a de Polignac number, because 20405230453431 - 27 = 20405230453303 is a prime.

It is a super-2 number, since 2×204052304534312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20405230453441) 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 39 ways as a sum of consecutive naturals, for example, 1697526 + ... + 6609996.

It is an arithmetic number, because the mean of its divisors is an integer number (802452301200).

Almost surely, 220405230453431 is an apocalyptic number.

20405230453431 is a deficient number, since it is larger than the sum of its proper divisors (11692861594569).

20405230453431 is a wasteful number, since it uses less digits than its factorization.

20405230453431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4915201 (or 4915192 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 20405230453431 in words is "twenty trillion, four hundred five billion, two hundred thirty million, four hundred fifty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 19 27 57 81 171 513 1539 2699 8097 24291 51281 72873 153843 218619 461529 1384587 4153761 4912471 14737413 44212239 93336949 132636717 280010847 397910151 840032541 2520097623 7560292869 13258759229 39776277687 119328833061 251916425351 357986499183 755749276053 1073959497549 2267247828159 6801743484477 20405230453431