Search a number
-
+
14213400110412 = 223172327749122273
BaseRepresentation
bin1100111011010101000010…
…1010100010010101001100
31212022210021021212210000120
43032311100222202111030
53330333020412013122
650121313524024540
72664612206353626
oct316652052422514
955283237783016
1014213400110412
11458a9619020a8
12171679ab32150
137c14194c4729
14371d0a0abc16
15199aca9aa75c
hexced50aa254c

14213400110412 has 192 divisors, whose sum is σ = 36851052155904. Its totient is φ = 4240987914240.

The previous prime is 14213400110401. The next prime is 14213400110417. The reversal of 14213400110412 is 21401100431241.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14213400110417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 638133708 + ... + 638155980.

It is an arithmetic number, because the mean of its divisors is an integer number (191932563312).

Almost surely, 214213400110412 is an apocalyptic number.

14213400110412 is a gapful number since it is divisible by the number (12) 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 14213400110412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18425526077952).

14213400110412 is an abundant number, since it is smaller than the sum of its proper divisors (22637652045492).

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

14213400110412 is a wasteful number, since it uses less digits than its factorization.

14213400110412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23088 (or 23086 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 14213400110412 its reverse (21401100431241), we get a palindrome (35614500541653).

The spelling of 14213400110412 in words is "fourteen trillion, two hundred thirteen billion, four hundred million, one hundred ten thousand, four hundred twelve".