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440000400040 = 23516976482033
BaseRepresentation
bin1100110011100100001…
…00010100101010101000
31120001201101101020020121
412121302010110222220
524202110100300130
6534044451333024
743534422456055
oct6316204245250
91501641336217
10440000400040
1115a66a833a53
12713372b1174
13326518009c6
141742083602c
15b6a345dd7a
hex6672114aa8

440000400040 has 32 divisors (see below), whose sum is σ = 990584435880. Its totient is φ = 175896420352.

The previous prime is 440000400019. The next prime is 440000400061. The reversal of 440000400040 is 40004000044.

It is an interprime number because it is at equal distance from previous prime (440000400019) and next prime (440000400061).

It can be written as a sum of positive squares in 4 ways, for example, as 372756649444 + 67243750596 = 610538^2 + 259314^2 .

440000400040 is a modest number, since divided by 400040 gives 4400 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 440000399987 and 440000400023.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3173137 + ... + 3308896.

Almost surely, 2440000400040 is an apocalyptic number.

440000400040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440000400040 is an abundant number, since it is smaller than the sum of its proper divisors (550584035840).

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

440000400040 is a wasteful number, since it uses less digits than its factorization.

440000400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6483741 (or 6483737 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 440000400040 its reverse (40004000044), we get a palindrome (480004400084).

The spelling of 440000400040 in words is "four hundred forty billion, four hundred thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1697 3394 6788 8485 13576 16970 33940 67880 6482033 12964066 25928132 32410165 51856264 64820330 129640660 259281320 11000010001 22000020002 44000040004 55000050005 88000080008 110000100010 220000200020 440000400040