Search a number
-
+
114223220141 = 2953113657661
BaseRepresentation
bin110101001100000111…
…1000000010110101101
3101220211102010210021212
41222120033000112231
53332412121021031
6124250132004205
711152362231422
oct1523017002655
9356742123255
10114223220141
1144495036998
121a179160665
13aa04445934
145758041d49
152e87c6212b
hex1a983c05ad

114223220141 has 16 divisors (see below), whose sum is σ = 121457018160. Its totient is φ = 107245931520.

The previous prime is 114223220123. The next prime is 114223220171. The reversal of 114223220141 is 141022322411.

It can be written as a sum of positive squares in 8 ways, for example, as 15721225 + 114207498916 = 3965^2 + 337946^2 .

It is not a de Polignac number, because 114223220141 - 218 = 114222957997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114223220101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155150 + ... + 502511.

It is an arithmetic number, because the mean of its divisors is an integer number (7591063635).

Almost surely, 2114223220141 is an apocalyptic number.

It is an amenable number.

114223220141 is a deficient number, since it is larger than the sum of its proper divisors (7233798019).

114223220141 is a wasteful number, since it uses less digits than its factorization.

114223220141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657856.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 114223220141 its reverse (141022322411), we get a palindrome (255245542552).

The spelling of 114223220141 in words is "one hundred fourteen billion, two hundred twenty-three million, two hundred twenty thousand, one hundred forty-one".

Divisors: 1 29 53 113 1537 3277 5989 173681 657661 19072169 34856033 74315693 1010824957 2155155097 3938731729 114223220141