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441331531040 = 2552758322069
BaseRepresentation
bin1100110110000010110…
…10001011110100100000
31120012011011010200200202
412123001122023310200
524212321332443130
6534424522204332
743612415055341
oct6330132136440
91505134120622
10441331531040
11160193164414
12716490536a8
133280451869a
141750953c0c8
15b73024d145
hex66c168bd20

441331531040 has 24 divisors (see below), whose sum is σ = 1042645742460. Its totient is φ = 176532612352.

The previous prime is 441331531009. The next prime is 441331531079. The reversal of 441331531040 is 40135133144.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 440996933776 + 334597264 = 664076^2 + 18292^2 .

It is a super-2 number, since 2×4413315310402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 441331530994 and 441331531012.

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, 1379160875 + ... + 1379161194.

Almost surely, 2441331531040 is an apocalyptic number.

441331531040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441331531040 is an abundant number, since it is smaller than the sum of its proper divisors (601314211420).

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

441331531040 is a wasteful number, since it uses less digits than its factorization.

441331531040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758322084 (or 2758322076 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 441331531040 its reverse (40135133144), we get a palindrome (481466664184).

The spelling of 441331531040 in words is "four hundred forty-one billion, three hundred thirty-one million, five hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2758322069 5516644138 11033288276 13791610345 22066576552 27583220690 44133153104 55166441380 88266306208 110332882760 220665765520 441331531040