Search a number
-
+
2014100431 = 72913772421
BaseRepresentation
bin111100000001100…
…1011101111001111
312012100212220101021
41320003023233033
513111102203211
6531505055011
7100624366630
oct17003135717
95170786337
102014100431
119439a8512
12482627467
13261373405
141516c9887
15bbc4a771
hex780cbbcf

2014100431 has 16 divisors (see below), whose sum is σ = 2398616640. Its totient is φ = 1654652160.

The previous prime is 2014100401. The next prime is 2014100443. The reversal of 2014100431 is 1340014102.

It is not a de Polignac number, because 2014100431 - 25 = 2014100399 is a prime.

It is a super-2 number, since 2×20141004312 = 8113201092308771522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014100401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8400 + ... + 64021.

It is an arithmetic number, because the mean of its divisors is an integer number (149913540).

Almost surely, 22014100431 is an apocalyptic number.

2014100431 is a deficient number, since it is larger than the sum of its proper divisors (384516209).

2014100431 is a wasteful number, since it uses less digits than its factorization.

2014100431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72594.

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2014100431 is about 44878.7302739282. The cubic root of 2014100431 is about 1262.8750236540.

Adding to 2014100431 its reverse (1340014102), we get a palindrome (3354114533).

The spelling of 2014100431 in words is "two billion, fourteen million, one hundred thousand, four hundred thirty-one".

Divisors: 1 7 29 137 203 959 3973 27811 72421 506947 2100209 9921677 14701463 69451739 287728633 2014100431