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14004312345 = 3757391733
BaseRepresentation
bin11010000101011100…
…01101100100011001
31100010222120210000000
431002232031210121
5212140100443340
610233345003213
71004016455652
oct150256154431
940128523000
1014004312345
115a37084161
12286a023509
13142248b96a
1496bcba529
1556e6d5d30
hex342b8d919

14004312345 has 64 divisors (see below), whose sum is σ = 25252588800. Its totient is φ = 7454555712.

The previous prime is 14004312319. The next prime is 14004312347. The reversal of 14004312345 is 54321340041.

It is a happy number.

14004312345 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 4 + 312 + 345 = 666.

It is not a de Polignac number, because 14004312345 - 26 = 14004312281 is a prime.

It is a super-2 number, since 2×140043123452 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14004312347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8080099 + ... + 8081831.

It is an arithmetic number, because the mean of its divisors is an integer number (394571700).

Almost surely, 214004312345 is an apocalyptic number.

14004312345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14004312345 is a deficient number, since it is larger than the sum of its proper divisors (11248276455).

14004312345 is an frugal number, since it uses more digits than its factorization.

14004312345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14004312345 its reverse (54321340041), we get a palindrome (68325652386).

The spelling of 14004312345 in words is "fourteen billion, four million, three hundred twelve thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 27 45 81 135 243 405 729 739 1215 1733 2187 2217 3645 3695 5199 6651 8665 10935 11085 15597 19953 25995 33255 46791 59859 77985 99765 140373 179577 233955 299295 421119 538731 701865 897885 1263357 1280687 1616193 2105595 2693655 3790071 3842061 6316785 6403435 8080965 11526183 18950355 19210305 34578549 57630915 103735647 172892745 311206941 518678235 933620823 1556034705 2800862469 4668104115 14004312345