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32224350141 = 3233731061513
BaseRepresentation
bin11110000000101110…
…001000111110111101
310002011202210121010200
4132000232020332331
51011443413201031
622445331354113
72220356312454
oct360056107675
9102152717120
1032224350141
1112736895235
1262b3a52939
133067170c09
1417b9a23b9b
15c890558e6
hex780b88fbd

32224350141 has 12 divisors (see below), whose sum is σ = 46560127068. Its totient is φ = 21476510784.

The previous prime is 32224350133. The next prime is 32224350143. The reversal of 32224350141 is 14105342223.

32224350141 is a `hidden beast` number, since 3 + 222 + 435 + 0 + 1 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30474684900 + 1749665241 = 174570^2 + 41829^2 .

It is not a de Polignac number, because 32224350141 - 23 = 32224350133 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32224350143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 500400 + ... + 561113.

It is an arithmetic number, because the mean of its divisors is an integer number (3880010589).

Almost surely, 232224350141 is an apocalyptic number.

It is an amenable number.

32224350141 is a deficient number, since it is larger than the sum of its proper divisors (14335776927).

32224350141 is a wasteful number, since it uses less digits than its factorization.

32224350141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1064892 (or 1064889 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 32224350141 its reverse (14105342223), we get a palindrome (46329692364).

The spelling of 32224350141 in words is "thirty-two billion, two hundred twenty-four million, three hundred fifty thousand, one hundred forty-one".

Divisors: 1 3 9 3373 10119 30357 1061513 3184539 9553617 3580483349 10741450047 32224350141