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12142222140032 = 27531789832273
BaseRepresentation
bin1011000010110001010011…
…0101100110001010000000
31120222210012100010101121022
42300230110311212022000
53042414232331440112
641454020532045012
72362150404162125
oct260542465461200
946883170111538
1012142222140032
11396153a93a706
1214412b1763768
136a101176572a
142dd9883ac74c
15160ca8c83d72
hexb0b14d66280

12142222140032 has 32 divisors (see below), whose sum is σ = 24645990412980. Its totient is φ = 5956561801216.

The previous prime is 12142222140029. The next prime is 12142222140067. The reversal of 12142222140032 is 23004122224121.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12106113019456 + 36109120576 = 3479384^2 + 190024^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×121422221400322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12142222139983 and 12142222140010.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 894909353 + ... + 894922920.

Almost surely, 212142222140032 is an apocalyptic number.

It is an amenable number.

12142222140032 is an abundant number, since it is smaller than the sum of its proper divisors (12503768272948).

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

12142222140032 is an equidigital number, since it uses as much as digits as its factorization.

12142222140032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789832340 (or 1789832328 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 12142222140032 its reverse (23004122224121), we get a palindrome (35146344364153).

The spelling of 12142222140032 in words is "twelve trillion, one hundred forty-two billion, two hundred twenty-two million, one hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 6784 1789832273 3579664546 7159329092 14318658184 28637316368 57274632736 94861110469 114549265472 189722220938 229098530944 379444441876 758888883752 1517777767504 3035555535008 6071111070016 12142222140032