Search a number
-
+
14001431011420 = 22567167179431811
BaseRepresentation
bin1100101110111111011001…
…0100100110000001011100
31211120112010210121212101111
43023233312110212001130
53313344412314331140
645440100230351404
72643366340633366
oct313576624460134
954515123555344
1014001431011420
114508a78875756
1216a16a2abb564
137a743856cb78
1436595c533d36
1519432186b7ea
hexcbbf652605c

14001431011420 has 192 divisors, whose sum is σ = 30295614504960. Its totient is φ = 5433948115200.

The previous prime is 14001431011397. The next prime is 14001431011441. The reversal of 14001431011420 is 2411013410041.

It is a junction number, because it is equal to n+sod(n) for n = 14001431011391 and 14001431011400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17264402815 + ... + 17264403625.

It is an arithmetic number, because the mean of its divisors is an integer number (157789658880).

Almost surely, 214001431011420 is an apocalyptic number.

14001431011420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14001431011420 is an abundant number, since it is smaller than the sum of its proper divisors (16294183493540).

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

14001431011420 is a wasteful number, since it uses less digits than its factorization.

14001431011420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1664 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 14001431011420 its reverse (2411013410041), we get a palindrome (16412444421461).

The spelling of 14001431011420 in words is "fourteen trillion, one billion, four hundred thirty-one million, eleven thousand, four hundred twenty".