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432321141141 = 3248533989753
BaseRepresentation
bin1100100101010000101…
…10010001100110010101
31112022220012111110102100
412102220112101212111
524040343203004031
6530334450232313
743143215032131
oct6225026214625
91468805443370
10432321141141
1115738a01709a
126b953585699
13319c986b226
1416cd29c03c1
15b3a41bcde6
hex64a8591995

432321141141 has 12 divisors (see below), whose sum is σ = 624477368268. Its totient is φ = 288207864384.

The previous prime is 432321141127. The next prime is 432321141151. The reversal of 432321141141 is 141141123234.

It is a happy number.

432321141141 is a `hidden beast` number, since 4 + 3 + 232 + 11 + 411 + 4 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 246944394225 + 185376746916 = 496935^2 + 430554^2 .

It is not a de Polignac number, because 432321141141 - 211 = 432321139093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432321141151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58080 + ... + 931673.

It is an arithmetic number, because the mean of its divisors is an integer number (52039780689).

Almost surely, 2432321141141 is an apocalyptic number.

It is an amenable number.

432321141141 is a deficient number, since it is larger than the sum of its proper divisors (192156227127).

432321141141 is a wasteful number, since it uses less digits than its factorization.

432321141141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038292 (or 1038289 counting only the distinct ones).

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

Adding to 432321141141 its reverse (141141123234), we get a palindrome (573462264375).

The spelling of 432321141141 in words is "four hundred thirty-two billion, three hundred twenty-one million, one hundred forty-one thousand, one hundred forty-one".

Divisors: 1 3 9 48533 145599 436797 989753 2969259 8907777 48035682349 144107047047 432321141141