Search a number
-
+
14145327600138 = 2327112264504763
BaseRepresentation
bin1100110111010111011100…
…1110100001001000001010
31212002021120012102221222100
43031311313032201020022
53323224112331201023
650030135045534230
72656652255515560
oct315656716411012
955067505387870
1014145327600138
114563aaa731649
121705561714376
137b7b8b4b7157
1436c8cd477a30
15197e446d7c43
hexcdd773a120a

14145327600138 has 24 divisors (see below), whose sum is σ = 35026525486368. Its totient is φ = 4041522171432.

The previous prime is 14145327600121. The next prime is 14145327600139. The reversal of 14145327600138 is 83100672354141.

14145327600138 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 5 + 3 + 2 + 7 + 600 + 1 + 38 = 666.

14145327600138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14145327600093 and 14145327600102.

It is not an unprimeable number, because it can be changed into a prime (14145327600139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56132252256 + ... + 56132252507.

It is an arithmetic number, because the mean of its divisors is an integer number (1459438561932).

Almost surely, 214145327600138 is an apocalyptic number.

14145327600138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

14145327600138 is an abundant number, since it is smaller than the sum of its proper divisors (20881197886230).

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

14145327600138 is a wasteful number, since it uses less digits than its factorization.

14145327600138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112264504778 (or 112264504775 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

Adding to 14145327600138 its reverse (83100672354141), we get a palindrome (97245999954279).

The spelling of 14145327600138 in words is "fourteen trillion, one hundred forty-five billion, three hundred twenty-seven million, six hundred thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 112264504763 224529009526 336793514289 673587028578 785851533341 1010380542867 1571703066682 2020761085734 2357554600023 4715109200046 7072663800069 14145327600138