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23214332134341 = 321932912967459
BaseRepresentation
bin1010100011101000000100…
…00001010100001111000101
310001012021020201110022211200
411101310002001110033011
511020320423011244331
6121212303355053113
74614115535246145
oct521640201241705
9101167221408750
1023214332134341
117440163325637
12272b114a41199
13cc51434b106a
145a3818888925
152a3cd0ddc5e6
hex151d020543c5

23214332134341 has 48 divisors (see below), whose sum is σ = 36614920056000. Its totient is φ = 14156107070112.

The previous prime is 23214332134313. The next prime is 23214332134397. The reversal of 23214332134341 is 14343123341232.

23214332134341 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 4 + 3 + 3 + 213 + 434 + 1 = 666.

It is not a de Polignac number, because 23214332134341 - 26 = 23214332134277 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 23214332134296 and 23214332134305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23214332135341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4693531 + ... + 8273928.

It is an arithmetic number, because the mean of its divisors is an integer number (762810834500).

Almost surely, 223214332134341 is an apocalyptic number.

It is an amenable number.

23214332134341 is a deficient number, since it is larger than the sum of its proper divisors (13400587921659).

23214332134341 is a wasteful number, since it uses less digits than its factorization.

23214332134341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12967551 (or 12967510 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 23214332134341 its reverse (14343123341232), we get a palindrome (37557455475573).

The spelling of 23214332134341 in words is "twenty-three trillion, two hundred fourteen billion, three hundred thirty-two million, one hundred thirty-four thousand, three hundred forty-one".

Divisors: 1 3 9 19 29 57 87 171 261 361 551 1083 1653 3249 4959 6859 10469 20577 31407 61731 94221 198911 596733 1790199 12967459 38902377 116707131 246381721 376056311 739145163 1128168933 2217435489 3384506799 4681252699 7145069909 14043758097 21435209727 42131274291 64305629181 88943801281 135756328271 266831403843 407268984813 800494211529 1221806954439 2579370237149 7738110711447 23214332134341