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14441312440 = 2351492423039
BaseRepresentation
bin11010111001100010…
…01111000010111000
31101021102212200102201
431130301033002320
5214033433444230
610344555235544
71020604062502
oct153461170270
941242780381
1014441312440
116140820865
122970448bb4
131491b864b9
149add52d72
15597c575ca
hex35cc4f0b8

14441312440 has 32 divisors (see below), whose sum is σ = 32711040000. Its totient is φ = 5737753984.

The previous prime is 14441312419. The next prime is 14441312443. The reversal of 14441312440 is 4421314441.

14441312440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14441312399 and 14441312408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14441312443) by changing a digit.

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, 1205560 + ... + 1217479.

It is an arithmetic number, because the mean of its divisors is an integer number (1022220000).

Almost surely, 214441312440 is an apocalyptic number.

14441312440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14441312440 is an abundant number, since it is smaller than the sum of its proper divisors (18269727560).

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

14441312440 is a wasteful number, since it uses less digits than its factorization.

14441312440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2423199 (or 2423195 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 14441312440 its reverse (4421314441), we get a palindrome (18862626881).

The spelling of 14441312440 in words is "fourteen billion, four hundred forty-one million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 149 298 596 745 1192 1490 2980 5960 2423039 4846078 9692156 12115195 19384312 24230390 48460780 96921560 361032811 722065622 1444131244 1805164055 2888262488 3610328110 7220656220 14441312440