Search a number
-
+
14319110940 = 22354342113183
BaseRepresentation
bin11010101010111110…
…00100101100011100
31100221220221012111020
431111133010230130
5213311143022230
610324512124140
71014561302061
oct152537045434
940856835436
1014319110940
116088845a92
122937536650
13147276b514
1499ba22c68
1558c169810
hex3557c4b1c

14319110940 has 96 divisors (see below), whose sum is σ = 41126486016. Its totient is φ = 3720487680.

The previous prime is 14319110921. The next prime is 14319110957. The reversal of 14319110940 is 4901191341.

It is a super-2 number, since 2×143191109402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1079589 + ... + 1092771.

It is an arithmetic number, because the mean of its divisors is an integer number (428400896).

Almost surely, 214319110940 is an apocalyptic number.

14319110940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14319110940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563243008).

14319110940 is an abundant number, since it is smaller than the sum of its proper divisors (26807375076).

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

14319110940 is a wasteful number, since it uses less digits than its factorization.

14319110940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13659 (or 13657 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The spelling of 14319110940 in words is "fourteen billion, three hundred nineteen million, one hundred ten thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 421 430 516 645 842 860 1263 1290 1684 2105 2526 2580 4210 5052 6315 8420 12630 13183 18103 25260 26366 36206 39549 52732 54309 65915 72412 79098 90515 108618 131830 158196 181030 197745 217236 263660 271545 362060 395490 543090 566869 790980 1086180 1133738 1700607 2267476 2834345 3401214 5550043 5668690 6802428 8503035 11100086 11337380 16650129 17006070 22200172 27750215 33300258 34012140 55500430 66600516 83250645 111000860 166501290 238651849 333002580 477303698 715955547 954607396 1193259245 1431911094 2386518490 2863822188 3579777735 4773036980 7159555470 14319110940