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14016045340 = 2251199763901
BaseRepresentation
bin11010000110110101…
…11110000100011100
31100011210122212122101
431003122332010130
5212201101422330
610234444254444
71004221263643
oct150332760434
940153585571
1014016045340
115a42768350
122871b41424
131424a3926b
1496d69235a
155707524ca
hex3436be11c

14016045340 has 48 divisors (see below), whose sum is σ = 32142194784. Its totient is φ = 5091552000.

The previous prime is 14016045289. The next prime is 14016045347. The reversal of 14016045340 is 4354061041.

14016045340 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 = 14016045299 and 14016045308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14016045347) 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 15 ways as a sum of consecutive naturals, for example, 187390 + ... + 251290.

It is an arithmetic number, because the mean of its divisors is an integer number (669629058).

Almost surely, 214016045340 is an apocalyptic number.

14016045340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14016045340 is an abundant number, since it is smaller than the sum of its proper divisors (18126149444).

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

14016045340 is a wasteful number, since it uses less digits than its factorization.

14016045340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64918 (or 64916 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 14016045340 in words is "fourteen billion, sixteen million, forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 997 1994 3988 4985 9970 10967 19940 21934 43868 54835 63901 109670 127802 219340 255604 319505 639010 702911 1278020 1405822 2811644 3514555 7029110 14058220 63709297 127418594 254837188 318546485 637092970 700802267 1274185940 1401604534 2803209068 3504011335 7008022670 14016045340