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14004451314 = 2337311195123
BaseRepresentation
bin11010000101011101…
…01111011111110010
31100010222211211122000
431002232233133302
5212140114420224
610233351554430
71004020605060
oct150256573762
940128754560
1014004451314
115a37169607
12286a08ba16
131422509ca9
1496bd15030
1556e7120c9
hex342baf7f2

14004451314 has 64 divisors (see below), whose sum is σ = 36714209280. Its totient is φ = 3872195280.

The previous prime is 14004451297. The next prime is 14004451319. The reversal of 14004451314 is 41315440041.

14004451314 is a `hidden beast` number, since 140 + 0 + 4 + 4 + 513 + 1 + 4 = 666.

It is a super-2 number, since 2×140044513142 (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 not an unprimeable number, because it can be changed into a prime (14004451319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 585844 + ... + 609279.

It is an arithmetic number, because the mean of its divisors is an integer number (573659520).

Almost surely, 214004451314 is an apocalyptic number.

14004451314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

14004451314 is an abundant number, since it is smaller than the sum of its proper divisors (22709757966).

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

14004451314 is a wasteful number, since it uses less digits than its factorization.

14004451314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195172 (or 1195166 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 14004451314 its reverse (41315440041), we get a palindrome (55319891355).

The spelling of 14004451314 in words is "fourteen billion, four million, four hundred fifty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3906 5859 11718 1195123 2390246 3585369 7170738 8365861 10756107 16731722 21512214 25097583 32268321 37048813 50195166 64536642 74097626 75292749 111146439 150585498 222292878 225878247 259341691 333439317 451756494 518683382 666878634 778025073 1000317951 1556050146 2000635902 2334075219 4668150438 7002225657 14004451314