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400044404440 = 23523946499001
BaseRepresentation
bin1011101001001001000…
…00010010111011011000
31102020120210010100102201
411310210200102323120
523023242331420230
6503440003535544
740621321222012
oct5644440227330
91366523110381
10400044404440
1114472670108a
126564608a5b4
132b9548b7865
14155100411b2
15a61576a5ca
hex5d24812ed8

400044404440 has 64 divisors (see below), whose sum is σ = 904160880000. Its totient is φ = 159296256000.

The previous prime is 400044404429. The next prime is 400044404453. The reversal of 400044404440 is 44404440004.

It is a junction number, because it is equal to n+sod(n) for n = 400044404399 and 400044404408.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 44439940 + ... + 44448940.

It is an arithmetic number, because the mean of its divisors is an integer number (14127513750).

Almost surely, 2400044404440 is an apocalyptic number.

400044404440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400044404440 is an abundant number, since it is smaller than the sum of its proper divisors (504116475560).

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

400044404440 is a wasteful number, since it uses less digits than its factorization.

400044404440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13900 (or 13896 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 400044404440 its reverse (44404440004), we get a palindrome (444448844444).

It can be divided in two parts, 40004 and 4404440, that added together give a palindrome (4444444).

The spelling of 400044404440 in words is "four hundred billion, forty-four million, four hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 239 478 956 1195 1912 2390 4649 4780 9001 9298 9560 18002 18596 23245 36004 37192 45005 46490 72008 90010 92980 180020 185960 360040 1111111 2151239 2222222 4302478 4444444 5555555 8604956 8888888 10756195 11111110 17209912 21512390 22222220 41845649 43024780 44444440 83691298 86049560 167382596 209228245 334765192 418456490 836912980 1673825960 10001110111 20002220222 40004440444 50005550555 80008880888 100011101110 200022202220 400044404440