Search a number
-
+
12441509388 = 22337112336421
BaseRepresentation
bin10111001011001001…
…00101111000001100
31012010001220011101000
423211210211320030
5200440011300023
65414320420300
7620212041060
oct134544457014
935101804330
1012441509388
1153049a9170
1224b2777690
13123377a999
14860509aa0
154cc3d3243
hex2e5925e0c

12441509388 has 192 divisors, whose sum is σ = 40393866240. Its totient is φ = 3217190400.

The previous prime is 12441509329. The next prime is 12441509429. The reversal of 12441509388 is 88390514421.

12441509388 is a `hidden beast` number, since 1 + 24 + 41 + 509 + 3 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1934418 + ... + 1940838.

It is an arithmetic number, because the mean of its divisors is an integer number (210384720).

Almost surely, 212441509388 is an apocalyptic number.

12441509388 is a gapful number since it is divisible by the number (18) 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 12441509388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20196933120).

12441509388 is an abundant number, since it is smaller than the sum of its proper divisors (27952356852).

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

12441509388 is a wasteful number, since it uses less digits than its factorization.

12441509388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6685 (or 6677 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12441509388 in words is "twelve billion, four hundred forty-one million, five hundred nine thousand, three hundred eighty-eight".