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32142020404221 = 32713174122541899
BaseRepresentation
bin1110100111011101001011…
…01101010110001111111101
311012210202011122222122202100
413103232211231112033331
513203103324210413341
6152205501302215313
76525120141410010
oct723564555261775
9135722148878670
1032142020404221
11a272399639632
123731409724539
1314c1c97005060
147d1979915377
153ab14b06b3b6
hex1d3ba5b563fd

32142020404221 has 48 divisors (see below), whose sum is σ = 57174193148800. Its totient is φ = 16944293888640.

The previous prime is 32142020404181. The next prime is 32142020404243. The reversal of 32142020404221 is 12240402024123.

It is a happy number.

32142020404221 is a `hidden beast` number, since 3 + 2 + 14 + 2 + 0 + 20 + 404 + 221 = 666.

It is not a de Polignac number, because 32142020404221 - 214 = 32142020387837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32142020404271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9845071 + ... + 12696828.

Almost surely, 232142020404221 is an apocalyptic number.

It is an amenable number.

32142020404221 is a deficient number, since it is larger than the sum of its proper divisors (25032172744579).

32142020404221 is a wasteful number, since it uses less digits than its factorization.

32142020404221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22543666 (or 22543663 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 32142020404221 its reverse (12240402024123), we get a palindrome (44382422428344).

The spelling of 32142020404221 in words is "thirty-two trillion, one hundred forty-two billion, twenty million, four hundred four thousand, two hundred twenty-one".

Divisors: 1 3 7 9 13 21 39 63 91 117 273 819 1741 5223 12187 15669 22633 36561 67899 109683 158431 203697 475293 1425879 22541899 67625697 157793293 202877091 293044687 473379879 879134061 1420139637 2051312809 2637402183 6153938427 18461815281 39245446159 117736338477 274718123113 353209015431 510190800067 824154369339 1530572400201 2472463108017 3571335600469 4591717200603 10714006801407 32142020404221