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432142100401311 = 323110892914219321
BaseRepresentation
bin110001001000001111110110…
…0011000110000110010011111
32002200002101021222210001021100
41202100133230120300302133
5423120204010200320221
64131031201300004143
7160011144046324116
oct14220375430606237
92080071258701240
10432142100401311
1111576a487834223
124057404b090653
1315718a95cb1a61
14789db09a24c7d
1534e601b1ec926
hex18907ec630c9f

432142100401311 has 24 divisors (see below), whose sum is σ = 644346870111360. Its totient is φ = 278798776012800.

The previous prime is 432142100401303. The next prime is 432142100401313. The reversal of 432142100401311 is 113104001241234.

It is a happy number.

432142100401311 is a `hidden beast` number, since 4 + 3 + 2 + 14 + 210 + 0 + 401 + 31 + 1 = 666.

It is not a de Polignac number, because 432142100401311 - 23 = 432142100401303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432142100401313) 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, 23281531 + ... + 37500851.

It is an arithmetic number, because the mean of its divisors is an integer number (26847786254640).

Almost surely, 2432142100401311 is an apocalyptic number.

432142100401311 is a deficient number, since it is larger than the sum of its proper divisors (212204769710049).

432142100401311 is a wasteful number, since it uses less digits than its factorization.

432142100401311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14328287 (or 14328284 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 432142100401311 its reverse (113104001241234), we get a palindrome (545246101642545).

The spelling of 432142100401311 in words is "four hundred thirty-two trillion, one hundred forty-two billion, one hundred million, four hundred one thousand, three hundred eleven".

Divisors: 1 3 9 31 93 279 108929 326787 980361 3376799 10130397 14219321 30391191 42657963 127973889 440798951 1322396853 3967190559 1548896417209 4646689251627 13940067754881 48015788933479 144047366800437 432142100401311