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40443623237 = 1726189149173
BaseRepresentation
bin100101101010101000…
…001011011101000101
310212101120210221011202
4211222220023131011
51130312031420422
630325103112245
72631142061003
oct455250133505
9125346727152
1040443623237
1116174409816
127a085a2685
133a76c58914
141d59489a73
1510ba915b92
hex96aa0b745

40443623237 has 48 divisors (see below), whose sum is σ = 44710866000. Its totient is φ = 36558888960.

The previous prime is 40443623183. The next prime is 40443623257. The reversal of 40443623237 is 73232634404.

It is a Cunningham number, because it is equal to 2011062+1.

It can be written as a sum of positive squares in 24 ways, for example, as 26216143396 + 14227479841 = 161914^2 + 119279^2 .

It is not a de Polignac number, because 40443623237 - 218 = 40443361093 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40443623237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40443623257) 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 47 ways as a sum of consecutive naturals, for example, 233778083 + ... + 233778255.

It is an arithmetic number, because the mean of its divisors is an integer number (931476375).

Almost surely, 240443623237 is an apocalyptic number.

It is an amenable number.

40443623237 is a deficient number, since it is larger than the sum of its proper divisors (4267242763).

40443623237 is a wasteful number, since it uses less digits than its factorization.

40443623237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 38.

The spelling of 40443623237 in words is "forty billion, four hundred forty-three million, six hundred twenty-three thousand, two hundred thirty-seven".

Divisors: 1 17 61 89 149 173 289 1037 1513 2533 2941 5429 9089 10553 13261 15397 17629 25721 25777 43061 49997 92293 154513 179401 225437 261749 438209 808921 939217 1568981 1572397 2294153 2626721 3049817 3832429 4449733 7449553 13751657 15966689 26730749 39000601 139943333 233778169 271433713 454422733 663010217 2379036661 40443623237