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424441140030 = 2325192233831483
BaseRepresentation
bin1100010110100101010…
…10011101001100111110
31111120120000212221001100
412023102222131030332
523423223412440110
6522552514353530
742444022110015
oct6132252351476
91446500787040
10424441140030
11154005a5a686
126a31458b8a6
133104215168b
1416786231a7c
15b0924c7bc0
hex62d2a9d33e

424441140030 has 288 divisors, whose sum is σ = 1219318603776. Its totient is φ = 102228407424.

The previous prime is 424441140029. The next prime is 424441140037. The reversal of 424441140030 is 30041144424.

424441140030 is a `hidden beast` number, since 4 + 244 + 4 + 11 + 400 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 424441139976 and 424441140003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424441140037) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 286203669 + ... + 286205151.

It is an arithmetic number, because the mean of its divisors is an integer number (4233745152).

Almost surely, 2424441140030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424441140030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609659301888).

424441140030 is an abundant number, since it is smaller than the sum of its proper divisors (794877463746).

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

424441140030 is a wasteful number, since it uses less digits than its factorization.

424441140030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1918 counting only the distinct ones).

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

Adding to 424441140030 its reverse (30041144424), we get a palindrome (454482284454).

The spelling of 424441140030 in words is "four hundred twenty-four billion, four hundred forty-one million, one hundred forty thousand, thirty".