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14313770016 = 2537132126037
BaseRepresentation
bin11010101010010101…
…01100110000100000
31100221112212212010020
431111022230300200
5213303311120031
610324201433440
71014465015630
oct152512546040
940845785106
1014313770016
1160858282a7
12293579b880
13147161b500
1499b0326c0
1558b962096
hex3552acc20

14313770016 has 144 divisors (see below), whose sum is σ = 46498947264. Its totient is φ = 3775030272.

The previous prime is 14313769991. The next prime is 14313770059. The reversal of 14313770016 is 61007731341.

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, 50550 + ... + 176586.

It is an arithmetic number, because the mean of its divisors is an integer number (322909356).

Almost surely, 214313770016 is an apocalyptic number.

14313770016 is a gapful number since it is divisible by the number (16) 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 14313770016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23249473632).

14313770016 is an abundant number, since it is smaller than the sum of its proper divisors (32185177248).

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

14313770016 is a wasteful number, since it uses less digits than its factorization.

14313770016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126083 (or 126062 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 14313770016 in words is "fourteen billion, three hundred thirteen million, seven hundred seventy thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 169 182 208 224 273 312 336 338 364 416 507 546 624 672 676 728 1014 1092 1183 1248 1352 1456 2028 2184 2366 2704 2912 3549 4056 4368 4732 5408 7098 8112 8736 9464 14196 16224 18928 28392 37856 56784 113568 126037 252074 378111 504148 756222 882259 1008296 1512444 1638481 1764518 2016592 2646777 3024888 3276962 3529036 4033184 4915443 5293554 6049776 6553924 7058072 9830886 10587108 11469367 12099552 13107848 14116144 19661772 21174216 21300253 22938734 26215696 28232288 34408101 39323544 42348432 42600506 45877468 52431392 63900759 68816202 78647088 84696864 85201012 91754936 127801518 137632404 149101771 157294176 170402024 183509872 255603036 275264808 298203542 340804048 367019744 447305313 511206072 550529616 596407084 681608096 894610626 1022412144 1101059232 1192814168 1789221252 2044824288 2385628336 3578442504 4771256672 7156885008 14313770016