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214142413023 = 327211192323367
BaseRepresentation
bin1100011101101111100…
…0011110100011011111
3202110201221201201000100
43013123320132203133
512002030424204043
6242213051032143
721320435322600
oct3073370364337
9673657651010
10214142413023
11828a989a450
1235603a3b653
13172692a17c6
14a516469da7
155884d38cd3
hex31dbe1e8df

214142413023 has 72 divisors (see below), whose sum is σ = 413187765120. Its totient is φ = 105387881760.

The previous prime is 214142413013. The next prime is 214142413039. The reversal of 214142413023 is 320314241412.

214142413023 is a `hidden beast` number, since 2 + 1 + 414 + 241 + 3 + 0 + 2 + 3 = 666.

It is not a de Polignac number, because 214142413023 - 220 = 214141364447 is a prime.

It is a super-3 number, since 3×2141424130233 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214142413013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1069515 + ... + 1253852.

It is an arithmetic number, because the mean of its divisors is an integer number (5738718960).

Almost surely, 2214142413023 is an apocalyptic number.

214142413023 is a deficient number, since it is larger than the sum of its proper divisors (199045352097).

214142413023 is a wasteful number, since it uses less digits than its factorization.

214142413023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323417 (or 2323407 counting only the distinct ones).

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

Adding to 214142413023 its reverse (320314241412), we get a palindrome (534456654435).

The spelling of 214142413023 in words is "two hundred fourteen billion, one hundred forty-two million, four hundred thirteen thousand, twenty-three".

Divisors: 1 3 7 9 11 19 21 33 49 57 63 77 99 133 147 171 209 231 399 441 539 627 693 931 1197 1463 1617 1881 2793 4389 4851 8379 10241 13167 30723 92169 2323367 6970101 16263569 20910303 25557037 44143973 48790707 76671111 113844983 132431919 146372121 178899259 230013333 309007811 341534949 397295757 485583703 536697777 927023433 1024604847 1252294813 1456751109 1610093331 2163054677 2781070299 3399085921 3756884439 4370253327 6489164031 10197257763 11270653317 19467492093 23793601447 30591773289 71380804341 214142413023