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14042014000 = 245371003001
BaseRepresentation
bin11010001001111100…
…00010000100110000
31100020121112012221121
431010332002010300
5212224223422000
610241213032024
71004655102220
oct150476020460
940217465847
1014042014000
115a56394a53
12287a785614
13142a22c331
14972cd2080
15572b81b1a
hex344f82130

14042014000 has 80 divisors (see below), whose sum is σ = 38804141376. Its totient is φ = 4814400000.

The previous prime is 14042013971. The next prime is 14042014009. The reversal of 14042014000 is 41024041.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (14042014009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 487501 + ... + 515500.

Almost surely, 214042014000 is an apocalyptic number.

14042014000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14042014000 is an abundant number, since it is smaller than the sum of its proper divisors (24762127376).

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

14042014000 is a wasteful number, since it uses less digits than its factorization.

14042014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003031 (or 1003015 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 14042014000 its reverse (41024041), we get a palindrome (14083038041).

The spelling of 14042014000 in words is "fourteen billion, forty-two million, fourteen thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2800 3500 7000 14000 1003001 2006002 4012004 5015005 7021007 8024008 10030010 14042014 16048016 20060020 25075025 28084028 35105035 40120040 50150050 56168056 70210070 80240080 100300100 112336112 125375125 140420140 175525175 200600200 250750250 280840280 351050350 401200400 501500500 561680560 702100700 877625875 1003001000 1404201400 1755251750 2006002000 2808402800 3510503500 7021007000 14042014000