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440424040040 = 23559797184133
BaseRepresentation
bin1100110100010110101…
…00011000011001101000
31120002210220112101001222
412122023110120121220
524203442023240130
6534154503401212
743551055400105
oct6321324303150
91502726471058
10440424040040
1115a867985a56
1271435153208
13326bb4cb46a
1417460bd1aac
15b6ca741ce5
hex668b518668

440424040040 has 32 divisors (see below), whose sum is σ = 990976043880. Its totient is φ = 176165713152.

The previous prime is 440424040033. The next prime is 440424040051. The reversal of 440424040040 is 40040424044.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 422892691204 + 17531348836 = 650302^2 + 132406^2 .

It is a junction number, because it is equal to n+sod(n) for n = 440424039991 and 440424040009.

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 7 ways as a sum of consecutive naturals, for example, 2299814 + ... + 2483946.

Almost surely, 2440424040040 is an apocalyptic number.

440424040040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440424040040 is an abundant number, since it is smaller than the sum of its proper divisors (550552003840).

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

440424040040 is a wasteful number, since it uses less digits than its factorization.

440424040040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243941 (or 243937 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 440424040040 its reverse (40040424044), we get a palindrome (480464464084).

The spelling of 440424040040 in words is "four hundred forty billion, four hundred twenty-four million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 59797 119594 184133 239188 298985 368266 478376 597970 736532 920665 1195940 1473064 1841330 2391880 3682660 7365320 11010601001 22021202002 44042404004 55053005005 88084808008 110106010010 220212020020 440424040040