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440003314120 = 23552612090873
BaseRepresentation
bin1100110011100100011…
…11011100000111001000
31120001201120212021121111
412121302033130013020
524202111322022440
6534045034020104
743534456313656
oct6316217340710
91501646767544
10440003314120
1115a671444387
1271338277634
13326522b1206
1417420d93dd6
15b6a38374ea
hex66723dc1c8

440003314120 has 32 divisors (see below), whose sum is σ = 990196108920. Its totient is φ = 175967787520.

The previous prime is 440003314111. The next prime is 440003314187. The reversal of 440003314120 is 21413300044.

It can be written as a sum of positive squares in 4 ways, for example, as 340983587844 + 99019726276 = 583938^2 + 314674^2 .

It is a junction number, because it is equal to n+sod(n) for n = 440003314091 and 440003314100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834997 + ... + 1255876.

Almost surely, 2440003314120 is an apocalyptic number.

440003314120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440003314120 is an abundant number, since it is smaller than the sum of its proper divisors (550192794800).

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

440003314120 is a wasteful number, since it uses less digits than its factorization.

440003314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096145 (or 2096141 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 440003314120 its reverse (21413300044), we get a palindrome (461416614164).

The spelling of 440003314120 in words is "four hundred forty billion, three million, three hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 5261 10522 21044 26305 42088 52610 105220 210440 2090873 4181746 8363492 10454365 16726984 20908730 41817460 83634920 11000082853 22000165706 44000331412 55000414265 88000662824 110000828530 220001657060 440003314120