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432124144102053 = 32132563504627511
BaseRepresentation
bin110001001000000111011111…
…0000110111010101010100101
32002200000122221120211112101200
41202100032332012322222211
5423114410221342231203
64131015031414113113
7160006640061312324
oct14220167606725245
92080018846745350
10432124144102053
1111576290298a887
124057067964b799
1315717193b42600
14789ccc4d320bb
1534e5819ac79a3
hex18903be1baaa5

432124144102053 has 36 divisors (see below), whose sum is σ = 677086991991072. Its totient is φ = 265450218340320.

The previous prime is 432124144101971. The next prime is 432124144102099. The reversal of 432124144102053 is 350201441421234.

432124144102053 is a `hidden beast` number, since 4 + 3 + 2 + 1 + 2 + 4 + 1 + 441 + 0 + 205 + 3 = 666.

It is not a de Polignac number, because 432124144102053 - 248 = 150649167391397 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 432124144101999 and 432124144102017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432124144104053) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 251457433 + ... + 253170078.

It is an arithmetic number, because the mean of its divisors is an integer number (18807971999752).

Almost surely, 2432124144102053 is an apocalyptic number.

It is an amenable number.

432124144102053 is a deficient number, since it is larger than the sum of its proper divisors (244962847889019).

432124144102053 is a wasteful number, since it uses less digits than its factorization.

432124144102053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504628106 (or 504628090 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 432124144102053 its reverse (350201441421234), we get a palindrome (782325585523287).

The spelling of 432124144102053 in words is "four hundred thirty-two trillion, one hundred twenty-four billion, one hundred forty-four million, one hundred two thousand, fifty-three".

Divisors: 1 3 9 13 39 117 169 507 563 1521 1689 5067 7319 21957 65871 95147 285441 856323 504627511 1513882533 4541647599 6560157643 19680472929 59041418787 85282049359 255846148077 284105288693 767538444231 852315866079 2556947598237 3693368753009 11080106259027 33240318777081 48013793789117 144041381367351 432124144102053