Search a number
-
+
2014635112014 = 237237547338579
BaseRepresentation
bin11101010100010001100…
…111000011011001001110
321010121010101101120102210
4131110101213003121032
5231001433042041024
64141302142131250
7265360351622100
oct35242147033116
97117111346383
102014635112014
11707446aaa088
12286549280b26
13117c96613875
146d71a44d570
1537612c67129
hex1d5119c364e

2014635112014 has 96 divisors (see below), whose sum is σ = 4822603505280. Its totient is φ = 559027490112.

The previous prime is 2014635112003. The next prime is 2014635112027. The reversal of 2014635112014 is 4102115364102.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5780977 + ... + 6119555.

It is an arithmetic number, because the mean of its divisors is an integer number (50235453180).

Almost surely, 22014635112014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014635112014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411301752640).

2014635112014 is an abundant number, since it is smaller than the sum of its proper divisors (2807968393266).

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

2014635112014 is a wasteful number, since it uses less digits than its factorization.

2014635112014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339182 (or 339175 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 2014635112014 in words is "two trillion, fourteen billion, six hundred thirty-five million, one hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 518 547 777 1094 1554 1641 1813 3282 3626 3829 5439 7658 10878 11487 20239 22974 26803 40478 53606 60717 80409 121434 141673 160818 283346 338579 425019 677158 850038 991711 1015737 1983422 2031474 2370053 2975133 4740106 5950266 7110159 12527423 14220318 16590371 25054846 33180742 37582269 49771113 75164538 87691961 99542226 175383922 185202713 263075883 370405426 526151766 555608139 613843727 1111216278 1227687454 1296418991 1841531181 2592837982 3683062362 3889256973 6852500381 7778513946 9074932937 13705000762 18149865874 20557501143 27224798811 41115002286 47967502667 54449597622 95935005334 143902508001 287805016002 335772518669 671545037338 1007317556007 2014635112014