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23141324142 = 23289211223307
BaseRepresentation
bin10101100011010101…
…001001010101101110
32012201202111001212100
4111203111021111232
5334343134333032
614344142515530
71446315003216
oct254325112556
965652431770
1023141324142
1198a5746382
124599b95ba6
13224a441111
141197599246
1590692897c
hex56354956e

23141324142 has 96 divisors (see below), whose sum is σ = 51338327040. Its totient is φ = 7532300160.

The previous prime is 23141324117. The next prime is 23141324149. The reversal of 23141324142 is 24142314132.

23141324142 is a `hidden beast` number, since 2 + 3 + 1 + 413 + 241 + 4 + 2 = 666.

It is a super-2 number, since 2×231413241422 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23141324149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75378753 + ... + 75379059.

It is an arithmetic number, because the mean of its divisors is an integer number (534774240).

Almost surely, 223141324142 is an apocalyptic number.

23141324142 is an abundant number, since it is smaller than the sum of its proper divisors (28197002898).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23141324142 is a wasteful number, since it uses less digits than its factorization.

23141324142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 835 counting only the distinct ones).

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

Adding to 23141324142 its reverse (24142314132), we get a palindrome (47283638274).

The spelling of 23141324142 in words is "twenty-three billion, one hundred forty-one million, three hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 89 178 211 223 267 307 422 446 534 614 633 669 801 921 1266 1338 1602 1842 1899 2007 2763 3798 4014 5526 18779 19847 27323 37558 39694 47053 54646 56337 59541 64777 68461 81969 94106 112674 119082 129554 136922 141159 163938 169011 178623 194331 205383 245907 282318 338022 357246 388662 410766 423477 491814 582993 616149 846954 1165986 1232298 4187717 5765153 6093029 8375434 11530306 12186058 12563151 14445271 17295459 18279087 25126302 28890542 34590918 36558174 37689453 43335813 51886377 54837261 75378906 86671626 103772754 109674522 130007439 260014878 1285629119 2571258238 3856887357 7713774714 11570662071 23141324142