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14344240032 = 253249806389
BaseRepresentation
bin11010101101111101…
…11011101110100000
31101000200012220010100
431112332323232200
5213334111140112
610331210502400
71015315012533
oct152676735640
941020186110
1014344240032
1160a0a49931
122943a34a00
131477a293c5
149a10c4a1a
1558e4802dc
hex356fbbba0

14344240032 has 36 divisors (see below), whose sum is σ = 40791433410. Its totient is φ = 4781413248.

The previous prime is 14344240013. The next prime is 14344240069. The reversal of 14344240032 is 23004244341.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 13113914256 + 1230325776 = 114516^2 + 35076^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×143442400322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14344239978 and 14344240005.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24902907 + ... + 24903482.

Almost surely, 214344240032 is an apocalyptic number.

14344240032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14344240032 is an abundant number, since it is smaller than the sum of its proper divisors (26447193378).

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

14344240032 is a wasteful number, since it uses less digits than its factorization.

14344240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49806405 (or 49806394 counting only the distinct ones).

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

Adding to 14344240032 its reverse (23004244341), we get a palindrome (37348484373).

The spelling of 14344240032 in words is "fourteen billion, three hundred forty-four million, two hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 49806389 99612778 149419167 199225556 298838334 398451112 448257501 597676668 796902224 896515002 1195353336 1593804448 1793030004 2390706672 3586060008 4781413344 7172120016 14344240032