Search a number
-
+
114237220050 = 234524721132
BaseRepresentation
bin110101001100100010…
…0011010010011010010
3101220212101111001120000
41222121010122103102
53332424212020200
6124251352030430
711152622230452
oct1523104322322
9356771431500
10114237220050
11444a1a29268
121a181992416
13aa07307cc5
145759c47d62
152e890ca300
hex1a9911a4d2

114237220050 has 270 divisors, whose sum is σ = 327202704543. Its totient is φ = 29551253760.

The previous prime is 114237219983. The next prime is 114237220057. The reversal of 114237220050 is 50022732411.

114237220050 is a `hidden beast` number, since 1 + 1 + 42 + 372 + 200 + 50 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 8767521 + 114228452529 = 2961^2 + 337977^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=238995.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 114237219996 and 114237220023.

It is not an unprimeable number, because it can be changed into a prime (114237220057) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1010948794 + ... + 1010948906.

Almost surely, 2114237220050 is an apocalyptic number.

114237220050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114237220050

114237220050 is an abundant number, since it is smaller than the sum of its proper divisors (212965484493).

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

114237220050 is an equidigital number, since it uses as much as digits as its factorization.

114237220050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 114237220050 its reverse (50022732411), we get a palindrome (164259952461).

The spelling of 114237220050 in words is "one hundred fourteen billion, two hundred thirty-seven million, two hundred twenty thousand, fifty".