Search a number
-
+
114413670401 = 6115711946713
BaseRepresentation
bin110101010001110010…
…1100001000000000001
3101221022200111122221012
41222203211201000001
53333304344423101
6124321054010305
711160164103122
oct1524345410001
9357280448835
10114413670401
1144582596aa8
121a210aa6995
13aa34a382b4
14577545a049
152e99831bbb
hex1aa3961001

114413670401 has 8 divisors (see below), whose sum is σ = 117030010344. Its totient is φ = 111821224320.

The previous prime is 114413670389. The next prime is 114413670443. The reversal of 114413670401 is 104076314411.

It can be written as a sum of positive squares in 4 ways, for example, as 115584001 + 114298086400 = 10751^2 + 338080^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114413670401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114413670001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5963780 + ... + 5982933.

It is an arithmetic number, because the mean of its divisors is an integer number (14628751293).

Almost surely, 2114413670401 is an apocalyptic number.

It is an amenable number.

114413670401 is a deficient number, since it is larger than the sum of its proper divisors (2616339943).

114413670401 is a wasteful number, since it uses less digits than its factorization.

114413670401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11946931.

The product of its (nonzero) digits is 8064, while the sum is 32.

Adding to 114413670401 its reverse (104076314411), we get a palindrome (218489984812).

The spelling of 114413670401 in words is "one hundred fourteen billion, four hundred thirteen million, six hundred seventy thousand, four hundred one".

Divisors: 1 61 157 9577 11946713 728749493 1875633941 114413670401