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12641423040 = 2632517318329
BaseRepresentation
bin10111100010111110…
…01100111011000000
31012122000001211100100
423301133030323000
5201342201014130
65450221322400
7625160215521
oct136137147300
935560054310
1012641423040
1153a7832264
122549706400
13126600489c
1487cca8848
154dec21c60
hex2f17ccec0

12641423040 has 336 divisors, whose sum is σ = 47529780480. Its totient is φ = 3070033920.

The previous prime is 12641422999. The next prime is 12641423077. The reversal of 12641423040 is 4032414621.

It is a happy number.

12641423040 is a `hidden beast` number, since 12 + 6 + 414 + 230 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12641422995 and 12641423013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1513596 + ... + 1521924.

It is an arithmetic number, because the mean of its divisors is an integer number (141457680).

Almost surely, 212641423040 is an apocalyptic number.

12641423040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12641423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23764890240).

12641423040 is an abundant number, since it is smaller than the sum of its proper divisors (34888357440).

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

12641423040 is a wasteful number, since it uses less digits than its factorization.

12641423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8400 (or 8387 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12641423040 its reverse (4032414621), we get a palindrome (16673837661).

The spelling of 12641423040 in words is "twelve billion, six hundred forty-one million, four hundred twenty-three thousand, forty".