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12432441042 = 2327220344789
BaseRepresentation
bin10111001010000011…
…11111111011010010
31012002102211102221100
423211001333323102
5200430201103132
65413354205230
7620042001540
oct134501777322
935072742840
1012432441042
1152aa874a6a
1224ab723816
1312319241b8
1485d228d90
154cb6e137c
hex2e507fed2

12432441042 has 48 divisors (see below), whose sum is σ = 30799753920. Its totient is φ = 3550434336.

The previous prime is 12432441031. The next prime is 12432441059. The reversal of 12432441042 is 24014423421.

12432441042 is a `hidden beast` number, since 1 + 243 + 2 + 4 + 410 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12432440997 and 12432441015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255184 + ... + 299972.

It is an arithmetic number, because the mean of its divisors is an integer number (641661540).

Almost surely, 212432441042 is an apocalyptic number.

12432441042 is an abundant number, since it is smaller than the sum of its proper divisors (18367312878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12432441042 is a wasteful number, since it uses less digits than its factorization.

12432441042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47007 (or 47004 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12432441042 its reverse (24014423421), we get a palindrome (36446864463).

The spelling of 12432441042 in words is "twelve billion, four hundred thirty-two million, four hundred forty-one thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 2203 4406 6609 13218 15421 19827 30842 39654 44789 46263 89578 92526 134367 138789 268734 277578 313523 403101 627046 806202 940569 1881138 2821707 5643414 98670167 197340334 296010501 592021002 690691169 888031503 1381382338 1776063006 2072073507 4144147014 6216220521 12432441042