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14222431120 = 245239743851
BaseRepresentation
bin11010011111011100…
…10001001110010000
31100201012000100201011
431033232101032100
5213111420243440
610311140020304
71012305445522
oct151756211620
940635010634
1014222431120
116039212007
12290b091694
13145871b021
1498cc57a12
1558391d9ea
hex34fb91390

14222431120 has 40 divisors (see below), whose sum is σ = 33205553280. Its totient is φ = 5665161600.

The previous prime is 14222431109. The next prime is 14222431123. The reversal of 14222431120 is 2113422241.

14222431120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 14222431091 and 14222431100.

It is not an unprimeable number, because it can be changed into a prime (14222431123) 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 7 ways as a sum of consecutive naturals, for example, 352806 + ... + 391045.

It is an arithmetic number, because the mean of its divisors is an integer number (830138832).

Almost surely, 214222431120 is an apocalyptic number.

14222431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14222431120 is an abundant number, since it is smaller than the sum of its proper divisors (18983122160).

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

14222431120 is a wasteful number, since it uses less digits than its factorization.

14222431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744103 (or 744097 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 14222431120 its reverse (2113422241), we get a palindrome (16335853361).

The spelling of 14222431120 in words is "fourteen billion, two hundred twenty-two million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 239 478 956 1195 1912 2390 3824 4780 9560 19120 743851 1487702 2975404 3719255 5950808 7438510 11901616 14877020 29754040 59508080 177780389 355560778 711121556 888901945 1422243112 1777803890 2844486224 3555607780 7111215560 14222431120