Search a number
-
+
114447255552 = 2113272973419
BaseRepresentation
bin110101010010110010…
…1101000100000000000
3101221102000200222002200
41222211211220200000
53333341444134202
6124324253513200
711161052423040
oct1524545504000
9357360628080
10114447255552
114459a546023
121a2201a2800
13aa3b997076
145779abd720
152e9c767e1c
hex1aa5968800

114447255552 has 576 divisors, whose sum is σ = 397090512000. Its totient is φ = 31064850432.

The previous prime is 114447255547. The next prime is 114447255583. The reversal of 114447255552 is 255552744411.

114447255552 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 47 + 2 + 55 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 114447255498 and 114447255507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273143599 + ... + 273144017.

It is an arithmetic number, because the mean of its divisors is an integer number (689393250).

Almost surely, 2114447255552 is an apocalyptic number.

114447255552 is a gapful number since it is divisible by the number (12) 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 114447255552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198545256000).

114447255552 is an abundant number, since it is smaller than the sum of its proper divisors (282643256448).

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

114447255552 is a wasteful number, since it uses less digits than its factorization.

114447255552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 533 counting only the distinct ones).

The product of its digits is 1120000, while the sum is 45.

Adding to 114447255552 its reverse (255552744411), we get a palindrome (369999999963).

The spelling of 114447255552 in words is "one hundred fourteen billion, four hundred forty-seven million, two hundred fifty-five thousand, five hundred fifty-two".