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440420221233 = 32232127633919
BaseRepresentation
bin1100110100010110001…
…01110100000100110001
31120002210122100100122200
412122023011310010301
524203440034034413
6534154245453413
743551011053416
oct6321305640461
91502718310580
10440420221233
1115a865807913
1271433a11269
13326ba792205
14174604ba10d
15b6ca23a573
hex668b174131

440420221233 has 12 divisors (see below), whose sum is σ = 663821783040. Its totient is φ = 280847677176.

The previous prime is 440420221181. The next prime is 440420221253. The reversal of 440420221233 is 332122024044.

440420221233 is a `hidden beast` number, since 4 + 4 + 0 + 420 + 2 + 2 + 1 + 233 = 666.

It is not a de Polignac number, because 440420221233 - 224 = 440403444017 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 440420221197 and 440420221206.

It is not an unprimeable number, because it can be changed into a prime (440420221253) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1063816753 + ... + 1063817166.

It is an arithmetic number, because the mean of its divisors is an integer number (55318481920).

Almost surely, 2440420221233 is an apocalyptic number.

It is an amenable number.

440420221233 is a deficient number, since it is larger than the sum of its proper divisors (223401561807).

440420221233 is a wasteful number, since it uses less digits than its factorization.

440420221233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127633948 (or 2127633945 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 440420221233 its reverse (332122024044), we get a palindrome (772542245277).

The spelling of 440420221233 in words is "four hundred forty billion, four hundred twenty million, two hundred twenty-one thousand, two hundred thirty-three".

Divisors: 1 3 9 23 69 207 2127633919 6382901757 19148705271 48935580137 146806740411 440420221233