Search a number
-
+
114295350869 = 723763042113
BaseRepresentation
bin110101001110010001…
…0001010011001010101
3101221000102212102001022
41222130202022121111
53333034102211434
6124301230010525
711154226311200
oct1523442123125
9357012772038
10114295350869
1144521822867
121a199346a45
13aa1637c23b
14576385a937
152e8e25e22e
hex1a9c88a655

114295350869 has 12 divisors (see below), whose sum is σ = 136549218924. Its totient is φ = 95319673344.

The previous prime is 114295350823. The next prime is 114295350881. The reversal of 114295350869 is 968053592411.

It can be written as a sum of positive squares in 2 ways, for example, as 95442687844 + 18852663025 = 308938^2 + 137305^2 .

It is not a de Polignac number, because 114295350869 - 216 = 114295285333 is a prime.

It is a super-2 number, since 2×1142953508692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 114295350869.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114295352869) 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 11 ways as a sum of consecutive naturals, for example, 31519244 + ... + 31522869.

It is an arithmetic number, because the mean of its divisors is an integer number (11379101577).

Almost surely, 2114295350869 is an apocalyptic number.

It is an amenable number.

114295350869 is a deficient number, since it is larger than the sum of its proper divisors (22253868055).

114295350869 is an equidigital number, since it uses as much as digits as its factorization.

114295350869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63042164 (or 63042157 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 53.

The spelling of 114295350869 in words is "one hundred fourteen billion, two hundred ninety-five million, three hundred fifty thousand, eight hundred sixty-nine".

Divisors: 1 7 37 49 259 1813 63042113 441294791 2332558181 3089063537 16327907267 114295350869