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214013314144041 = 31031013922774099
BaseRepresentation
bin110000101010010011011011…
…100100010001011100101001
31001001202110202211110121101220
4300222103123210101130221
5211022343231410102131
62035100205332532253
763035644301231556
oct6052233344213451
91031673684417356
10214013314144041
116221159a578465
1220005269a81089
1392554a46c5469
143abc42a433a2d
1519b1e9dc93e96
hexc2a4db911729

214013314144041 has 32 divisors (see below), whose sum is σ = 288441057715200. Its totient is φ = 141133663898304.

The previous prime is 214013314143997. The next prime is 214013314144073. The reversal of 214013314144041 is 140441413310412.

It is not a de Polignac number, because 214013314144041 - 27 = 214013314143913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214013314143993 and 214013314144011.

It is not an unprimeable number, because it can be changed into a prime (214013314144741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2888170810 + ... + 2888244908.

It is an arithmetic number, because the mean of its divisors is an integer number (9013783053600).

Almost surely, 2214013314144041 is an apocalyptic number.

It is an amenable number.

214013314144041 is a deficient number, since it is larger than the sum of its proper divisors (74427743571159).

214013314144041 is a wasteful number, since it uses less digits than its factorization.

214013314144041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84445.

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 214013314144041 its reverse (140441413310412), we get a palindrome (354454727454453).

The spelling of 214013314144041 in words is "two hundred fourteen trillion, thirteen billion, three hundred fourteen million, one hundred forty-four thousand, forty-one".

Divisors: 1 3 103 309 1013 3039 9227 27681 74099 104339 222297 313017 950381 2851143 7632197 9346951 22896591 28040853 75062287 225186861 683711473 962735953 2051134419 2888207859 7731415561 23194246683 70422281719 211266845157 692599722149 2077799166447 71337771381347 214013314144041