Search a number
-
+
14156100000 = 25335572107
BaseRepresentation
bin11010010111100010…
…01111000110100000
31100112120012101112000
431023301033012200
5212442430200000
610300410204000
71010541602400
oct151361170640
940476171460
1014156100000
1160048274a9
1228b0a23600
131447a65443
1498410c800
1557cbba000
hex34bc4f1a0

14156100000 has 864 divisors, whose sum is σ = 60594246720. Its totient is φ = 3205440000.

The previous prime is 14156099953. The next prime is 14156100001. The reversal of 14156100000 is 165141.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14156100001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 132299947 + ... + 132300053.

It is an arithmetic number, because the mean of its divisors is an integer number (70132230).

Almost surely, 214156100000 is an apocalyptic number.

14156100000 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 14156100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30297123360).

14156100000 is an abundant number, since it is smaller than the sum of its proper divisors (46438146720).

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

14156100000 is an equidigital number, since it uses as much as digits as its factorization.

14156100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 14156100000 its reverse (165141), we get a palindrome (14156265141).

The spelling of 14156100000 in words is "fourteen billion, one hundred fifty-six million, one hundred thousand".