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132442434441 = 3221536835033
BaseRepresentation
bin111101101011000101…
…1110010101110001001
3110122212010210202210200
41323112023302232021
54132220230400231
6140502045002413
712366022055322
oct1732613625611
9418763722720
10132442434441
1151194335299
1221802853409
13c648bca105
1465a5a13449
1536a24bcbe6
hex1ed62f2b89

132442434441 has 12 divisors (see below), whose sum is σ = 191394622068. Its totient is φ = 88253933184.

The previous prime is 132442434433. The next prime is 132442434479. The reversal of 132442434441 is 144434244231.

132442434441 is a `hidden beast` number, since 13 + 244 + 24 + 344 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16567551225 + 115874883216 = 128715^2 + 340404^2 .

It is not a de Polignac number, because 132442434441 - 23 = 132442434433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132442434396 and 132442434405.

It is not an unprimeable number, because it can be changed into a prime (132442434401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3398140 + ... + 3436893.

It is an arithmetic number, because the mean of its divisors is an integer number (15949551839).

Almost surely, 2132442434441 is an apocalyptic number.

It is an amenable number.

132442434441 is a deficient number, since it is larger than the sum of its proper divisors (58952187627).

132442434441 is a wasteful number, since it uses less digits than its factorization.

132442434441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6837192 (or 6837189 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 132442434441 its reverse (144434244231), we get a palindrome (276876678672).

The spelling of 132442434441 in words is "one hundred thirty-two billion, four hundred forty-two million, four hundred thirty-four thousand, four hundred forty-one".

Divisors: 1 3 9 2153 6459 19377 6835033 20505099 61515297 14715826049 44147478147 132442434441