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14183714440 = 2357210317019
BaseRepresentation
bin11010011010110101…
…00100111010001000
31100121111011100102001
431031122210322020
5213022012330230
610303234120344
71011325404100
oct151532447210
940544140361
1014183714440
116019378655
1228ba1200b4
1314506b364c
14987a5a200
155803220ca
hex34d6a4e88

14183714440 has 96 divisors (see below), whose sum is σ = 37165003200. Its totient is φ = 4857578880.

The previous prime is 14183714423. The next prime is 14183714483. The reversal of 14183714440 is 4441738141.

It is a self number, because there is not a number n which added to its sum of digits gives 14183714440.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2017251 + ... + 2024269.

It is an arithmetic number, because the mean of its divisors is an integer number (387135450).

Almost surely, 214183714440 is an apocalyptic number.

14183714440 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 14183714440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18582501600).

14183714440 is an abundant number, since it is smaller than the sum of its proper divisors (22981288760).

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

14183714440 is a wasteful number, since it uses less digits than its factorization.

14183714440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8075 (or 8064 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 14183714440 in words is "fourteen billion, one hundred eighty-three million, seven hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1031 1960 2062 4124 5155 7019 7217 8248 10310 14038 14434 20620 28076 28868 35095 36085 41240 49133 50519 56152 57736 70190 72170 98266 101038 140380 144340 196532 202076 245665 252595 280760 288680 343931 393064 404152 491330 505190 687862 982660 1010380 1375724 1719655 1965320 2020760 2751448 3439310 6878620 7236589 13757240 14473178 28946356 36182945 50656123 57892712 72365890 101312246 144731780 202624492 253280615 289463560 354592861 405248984 506561230 709185722 1013122460 1418371444 1772964305 2026244920 2836742888 3545928610 7091857220 14183714440