Search a number
-
+
114344146260 = 223352310191153
BaseRepresentation
bin110101001111101110…
…0010011010101010100
3101221010211200110202000
41222133130103111110
53333134100140020
6124310131515300
711155361130621
oct1523734232524
9357124613660
10114344146260
1144547320533
121a1b1758b30
13aa23505256
14576a11d348
152e9369c090
hex1a9f713554

114344146260 has 192 divisors, whose sum is σ = 374883586560. Its totient is φ = 28876953600.

The previous prime is 114344146219. The next prime is 114344146387. The reversal of 114344146260 is 62641443411.

114344146260 is a `hidden beast` number, since 1 + 14 + 3 + 4 + 4 + 14 + 626 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1208844 + ... + 1299996.

It is an arithmetic number, because the mean of its divisors is an integer number (1952518680).

Almost surely, 2114344146260 is an apocalyptic number.

114344146260 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 114344146260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187441793280).

114344146260 is an abundant number, since it is smaller than the sum of its proper divisors (260539440300).

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

114344146260 is a wasteful number, since it uses less digits than its factorization.

114344146260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91295 (or 91287 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 114344146260 its reverse (62641443411), we get a palindrome (176985589671).

The spelling of 114344146260 in words is "one hundred fourteen billion, three hundred forty-four million, one hundred forty-six thousand, two hundred sixty".