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2014340031 = 321143835701
BaseRepresentation
bin111100000010000…
…0110001110111111
312012101100002001100
41320010012032333
513111132340111
6531514144143
7100626415314
oct17004061677
95171302040
102014340031
11944051530
12482722053
132614284a2
1415174cd0b
15bbc96756
hex781063bf

2014340031 has 48 divisors (see below), whose sum is σ = 3287636352. Its totient is φ = 1177848000.

The previous prime is 2014340017. The next prime is 2014340093. The reversal of 2014340031 is 1300434102.

2014340031 is a `hidden beast` number, since 201 + 434 + 0 + 0 + 31 = 666.

It is not a de Polignac number, because 2014340031 - 215 = 2014307263 is a prime.

It is a super-2 number, since 2×20143400312 = 8115131520978161922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2014339986 and 2014340013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014340011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350481 + ... + 356181.

It is an arithmetic number, because the mean of its divisors is an integer number (68492424).

Almost surely, 22014340031 is an apocalyptic number.

2014340031 is a deficient number, since it is larger than the sum of its proper divisors (1273296321).

2014340031 is a wasteful number, since it uses less digits than its factorization.

2014340031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5844 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2014340031 is about 44881.3996105291. The cubic root of 2014340031 is about 1262.9250994187.

Adding to 2014340031 its reverse (1300434102), we get a palindrome (3314774133).

The spelling of 2014340031 in words is "two billion, fourteen million, three hundred forty thousand, thirty-one".

Divisors: 1 3 9 11 33 43 83 99 129 249 387 473 747 913 1419 2739 3569 4257 5701 8217 10707 17103 32121 39259 51309 62711 117777 188133 245143 353331 473183 564399 735429 1419549 2206287 2696573 4258647 5205013 8089719 15615039 20346869 24269157 46845117 61040607 183121821 223815559 671446677 2014340031