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2014131312 = 24334662341
BaseRepresentation
bin111100000001101…
…0011010001110000
312012100221110202000
41320003103101300
513111104200222
6531505454000
7100624555644
oct17003232160
95170843660
102014131312
11943a19736
12482641300
1326138449b
141516d6c24
15bbc549ac
hex780d3470

2014131312 has 40 divisors (see below), whose sum is σ = 5781304080. Its totient is φ = 671376960.

The previous prime is 2014131283. The next prime is 2014131331. The reversal of 2014131312 is 2131314102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2330739 + ... + 2331602.

It is an arithmetic number, because the mean of its divisors is an integer number (144532602).

Almost surely, 22014131312 is an apocalyptic number.

It is an amenable number.

2014131312 is an abundant number, since it is smaller than the sum of its proper divisors (3767172768).

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

2014131312 is a wasteful number, since it uses less digits than its factorization.

2014131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4662358 (or 4662346 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2014131312 is about 44879.0743220045. The cubic root of 2014131312 is about 1262.8814779240.

Adding to 2014131312 its reverse (2131314102), we get a palindrome (4145445414).

The spelling of 2014131312 in words is "two billion, fourteen million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 4662341 9324682 13987023 18649364 27974046 37298728 41961069 55948092 74597456 83922138 111896184 125883207 167844276 223792368 251766414 335688552 503532828 671377104 1007065656 2014131312