Search a number
844424930131968 = 2483
BaseRepresentation
bin1100000000000000000000000…
…0000000000000000000000000
311002201212020100021011020102010
43000000000000000000000000
51341140024224103210333
612151535242455452520
7342602454650323263
oct30000000000000000
94081766307136363
10844424930131968
11225072668a46479
127a85b260687140
132a323c106acaa3
1410c7455582acda
15679566c2ed563
hex3000000000000

844424930131968 has 98 divisors (see below), whose sum is σ = 2251799813685244. Its totient is φ = 281474976710656.

The previous prime is 844424930131963. The next prime is 844424930132057. The reversal of 844424930131968 is 869131039424448.

It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)45.

It is an ABA number since it can be written as A⋅BA, here for A=3, B=65536.

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 844424930131899 and 844424930131908.

It is not an unprimeable number, because it can be changed into a prime (844424930131961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 844424930131968 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 281474976710655 + 281474976710656 + 281474976710657.

Almost surely, 2844424930131968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 844424930131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125899906842622).

844424930131968 is an abundant number, since it is smaller than the sum of its proper divisors (1407374883553276).

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

844424930131968 is an frugal number, since it uses more digits than its factorization.

844424930131968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 66.

The spelling of 844424930131968 in words is "eight hundred forty-four trillion, four hundred twenty-four billion, nine hundred thirty million, one hundred thirty-one thousand, nine hundred sixty-eight".