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114642326401 = 296136448913
BaseRepresentation
bin110101011000100110…
…1110001001110000001
3101221220121202120222221
41222301031301032001
53334241413421101
6124355502531041
711165641460521
oct1526115611601
9357817676887
10114642326401
114468a6716a9
121a275596a81
13aa702168c5
14579797b681
152eae94baa1
hex1ab1371381

114642326401 has 8 divisors (see below), whose sum is σ = 118788995880. Its totient is φ = 110508556032.

The previous prime is 114642326389. The next prime is 114642326417. The reversal of 114642326401 is 104623246411.

It can be written as a sum of positive squares in 4 ways, for example, as 16517390400 + 98124936001 = 128520^2 + 313249^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 114642326401 - 217 = 114642195329 is a prime.

It is a super-2 number, since 2×1146423264012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114642326441) 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 7 ways as a sum of consecutive naturals, for example, 3206680 + ... + 3242233.

It is an arithmetic number, because the mean of its divisors is an integer number (14848624485).

Almost surely, 2114642326401 is an apocalyptic number.

It is an amenable number.

114642326401 is a deficient number, since it is larger than the sum of its proper divisors (4146669479).

114642326401 is an equidigital number, since it uses as much as digits as its factorization.

114642326401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6449555.

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 114642326401 in words is "one hundred fourteen billion, six hundred forty-two million, three hundred twenty-six thousand, four hundred one".

Divisors: 1 29 613 17777 6448913 187018477 3953183669 114642326401