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14434340040 = 2332540095389
BaseRepresentation
bin11010111000101101…
…01000110011001000
31101020221202110002200
431130112220303020
5214030142340130
610344150000200
71020460603011
oct153426506310
941227673080
1014434340040
11613789934a
12296a046060
1314905b4a13
149ad05a008
1559732b760
hex35c5a8cc8

14434340040 has 48 divisors (see below), whose sum is σ = 46911606300. Its totient is φ = 3849157248.

The previous prime is 14434339901. The next prime is 14434340057. The reversal of 14434340040 is 4004343441.

It can be written as a sum of positive squares in 2 ways, for example, as 12681912996 + 1752427044 = 112614^2 + 41862^2 .

It is a junction number, because it is equal to n+sod(n) for n = 14434339986 and 14434340013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20047335 + ... + 20048054.

Almost surely, 214434340040 is an apocalyptic number.

14434340040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14434340040 is an abundant number, since it is smaller than the sum of its proper divisors (32477266260).

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

14434340040 is a wasteful number, since it uses less digits than its factorization.

14434340040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40095406 (or 40095399 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 14434340040 its reverse (4004343441), we get a palindrome (18438683481).

The spelling of 14434340040 in words is "fourteen billion, four hundred thirty-four million, three hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 40095389 80190778 120286167 160381556 200476945 240572334 320763112 360858501 400953890 481144668 601430835 721717002 801907780 962289336 1202861670 1443434004 1603815560 1804292505 2405723340 2886868008 3608585010 4811446680 7217170020 14434340040