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2014144125 = 3537767293
BaseRepresentation
bin111100000001101…
…0110011001111101
312012100222010022120
41320003112121331
513111110103000
6531510033153
7100624641210
oct17003263175
95170863276
102014144125
11943a28324
124826487b9
1326138a276
141516db777
15bbc586a0
hex780d667d

2014144125 has 32 divisors (see below), whose sum is σ = 3830331648. Its totient is φ = 920750400.

The previous prime is 2014144061. The next prime is 2014144127. The reversal of 2014144125 is 5214414102.

It is not a de Polignac number, because 2014144125 - 26 = 2014144061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2014144095 and 2014144104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014144127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381022 + ... + 386271.

It is an arithmetic number, because the mean of its divisors is an integer number (119697864).

Almost surely, 22014144125 is an apocalyptic number.

2014144125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2014144125 is a deficient number, since it is larger than the sum of its proper divisors (1816187523).

2014144125 is an equidigital number, since it uses as much as digits as its factorization.

2014144125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767318 (or 767308 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2014144125 is about 44879.2170720479. The cubic root of 2014144125 is about 1262.8841558802.

Adding to 2014144125 its reverse (5214414102), we get a palindrome (7228558227).

The spelling of 2014144125 in words is "two billion, fourteen million, one hundred forty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 125 175 375 525 875 2625 767293 2301879 3836465 5371051 11509395 16113153 19182325 26855255 57546975 80565765 95911625 134276275 287734875 402828825 671381375 2014144125