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214430134041 = 321217128315259
BaseRepresentation
bin1100011110110100001…
…0000010111100011001
3202111111000010110001100
43013231002002330121
512003123103242131
6242301405542013
721330531031434
oct3075502027431
9674430113040
10214430134041
1182a37247512
1235684274909
13172b3a90626
14a54276481b
1558a021e7e6
hex31ed082f19

214430134041 has 24 divisors (see below), whose sum is σ = 310248862560. Its totient is φ = 142715275776.

The previous prime is 214430134031. The next prime is 214430134067. The reversal of 214430134041 is 140431034412.

214430134041 is a `hidden beast` number, since 2 + 14 + 4 + 301 + 340 + 4 + 1 = 666.

It is not a de Polignac number, because 214430134041 - 227 = 214295916313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 214430133996 and 214430134014.

It is not an unprimeable number, because it can be changed into a prime (214430134001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14045070 + ... + 14060328.

It is an arithmetic number, because the mean of its divisors is an integer number (12927035940).

Almost surely, 2214430134041 is an apocalyptic number.

It is an amenable number.

214430134041 is a deficient number, since it is larger than the sum of its proper divisors (95818728519).

214430134041 is a wasteful number, since it uses less digits than its factorization.

214430134041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17765 (or 17762 counting only the distinct ones).

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

Adding to 214430134041 its reverse (140431034412), we get a palindrome (354861168453).

The spelling of 214430134041 in words is "two hundred fourteen billion, four hundred thirty million, one hundred thirty-four thousand, forty-one".

Divisors: 1 3 9 1217 1283 3651 3849 10953 11547 15259 45777 137331 1561411 4684233 14052699 18570203 19577297 55710609 58731891 167131827 176195673 23825570449 71476711347 214430134041