Search a number
-
+
14050030144440 = 23351943352940609
BaseRepresentation
bin1100110001110100011100…
…0011100100101110111000
31211202011120202110121210010
43030131013003210232320
53320143430204110230
645514254510421520
72650036562513013
oct314350703445670
954664522417703
1014050030144440
1145276478076a4
1216aaba68018a0
137abbb2019604
1436804cba837a
151957182499b0
hexcc7470e4bb8

14050030144440 has 256 divisors, whose sum is σ = 45414325440000. Its totient is φ = 3465867460608.

The previous prime is 14050030144399. The next prime is 14050030144487. The reversal of 14050030144440 is 4444103005041.

14050030144440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14050030144398 and 14050030144407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345962856 + ... + 346003464.

It is an arithmetic number, because the mean of its divisors is an integer number (177399708750).

Almost surely, 214050030144440 is an apocalyptic number.

14050030144440 is a gapful number since it is divisible by the number (10) 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 14050030144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22707162720000).

14050030144440 is an abundant number, since it is smaller than the sum of its proper divisors (31364295295560).

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

14050030144440 is a wasteful number, since it uses less digits than its factorization.

14050030144440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44214 (or 44210 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 14050030144440 its reverse (4444103005041), we get a palindrome (18494133149481).

The spelling of 14050030144440 in words is "fourteen trillion, fifty billion, thirty million, one hundred forty-four thousand, four hundred forty".