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14042014224 = 243754177249
BaseRepresentation
bin11010001001111100…
…00010001000010000
31100020121112020020220
431010332002020100
5212224223423344
610241213033040
71004655102660
oct150476021020
940217466226
1014042014224
115a56395137
12287a785780
13142a22c474
14972cd21a0
15572b81c19
hex344f82210

14042014224 has 80 divisors (see below), whose sum is σ = 41534544000. Its totient is φ = 4004536320.

The previous prime is 14042014187. The next prime is 14042014241. The reversal of 14042014224 is 42241024041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 14042014194 and 14042014203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143152 + ... + 220400.

It is an arithmetic number, because the mean of its divisors is an integer number (519181800).

Almost surely, 214042014224 is an apocalyptic number.

14042014224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14042014224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20767272000).

14042014224 is an abundant number, since it is smaller than the sum of its proper divisors (27492529776).

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

14042014224 is a wasteful number, since it uses less digits than its factorization.

14042014224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77808 (or 77802 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 14042014224 its reverse (42241024041), we get a palindrome (56283038265).

The spelling of 14042014224 in words is "fourteen billion, forty-two million, fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 541 1082 1623 2164 3246 3787 4328 6492 7574 8656 11361 12984 15148 22722 25968 30296 45444 60592 77249 90888 154498 181776 231747 308996 463494 540743 617992 926988 1081486 1235984 1622229 1853976 2162972 3244458 3707952 4325944 6488916 8651888 12977832 25955664 41791709 83583418 125375127 167166836 250750254 292541963 334333672 501500508 585083926 668667344 877625889 1003001016 1170167852 1755251778 2006002032 2340335704 3510503556 4680671408 7021007112 14042014224