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23214144303 = 327343179977
BaseRepresentation
bin10101100111101010…
…111011101100101111
32012220211111201100100
4111213222323230233
5340020310104203
614355303402143
71451160654000
oct254752735457
965824451310
1023214144303
119932863229
1245ba453353
13225c55947c
1411a31131a7
1590d00eea3
hex567abbb2f

23214144303 has 96 divisors (see below), whose sum is σ = 40277952000. Its totient is φ = 12871160064.

The previous prime is 23214144293. The next prime is 23214144337. The reversal of 23214144303 is 30344141232.

23214144303 is a `hidden beast` number, since 2 + 3 + 214 + 1 + 443 + 0 + 3 = 666.

It is not a de Polignac number, because 23214144303 - 24 = 23214144287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23214144383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23760151 + ... + 23761127.

It is an arithmetic number, because the mean of its divisors is an integer number (419562000).

Almost surely, 223214144303 is an apocalyptic number.

23214144303 is a deficient number, since it is larger than the sum of its proper divisors (17063807697).

23214144303 is a wasteful number, since it uses less digits than its factorization.

23214144303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23214144303 its reverse (30344141232), we get a palindrome (53558285535).

The spelling of 23214144303 in words is "twenty-three billion, two hundred fourteen million, one hundred forty-four thousand, three hundred three".

Divisors: 1 3 7 9 21 43 49 63 129 147 179 301 343 387 441 537 903 977 1029 1253 1611 2107 2709 2931 3087 3759 6321 6839 7697 8771 8793 11277 14749 18963 20517 23091 26313 42011 44247 47873 53879 61397 61551 69273 78939 126033 132741 143619 161637 174883 184191 294077 335111 377153 378099 430857 484911 524649 552573 882231 1005333 1131459 1224181 1573947 2058539 2640071 2646693 3015999 3394377 3672543 6175617 7519969 7920213 8569267 11017629 14409773 18526851 22559907 23760639 25707801 43229319 52639783 59984869 67679721 77123403 129687957 157919349 179954607 368478481 473758047 539863821 1105435443 2579349367 3316306329 7738048101 23214144303