Search a number
-
+
314240370041 = 1329833528833
BaseRepresentation
bin1001001001010100010…
…11111000010101111001
31010001002221200210000202
410210222023320111321
520122031013320131
6400205433411545
731463112034223
oct4445213702571
91101087623022
10314240370041
111112a5551064
1250a9a569bb5
132382c18ab80
14112d0509413
158292972bcb
hex492a2f8579

314240370041 has 8 divisors (see below), whose sum is σ = 350082110280. Its totient is φ = 280065687552.

The previous prime is 314240370007. The next prime is 314240370043. The reversal of 314240370041 is 140073042413.

It can be written as a sum of positive squares in 4 ways, for example, as 32522515600 + 281717854441 = 180340^2 + 530771^2 .

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 314240370041 - 26 = 314240369977 is a prime.

It is a super-2 number, since 2×3142403700412 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 314240369986 and 314240370013.

It is not an unprimeable number, because it can be changed into a prime (314240370043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 416764040 + ... + 416764793.

It is an arithmetic number, because the mean of its divisors is an integer number (43760263785).

Almost surely, 2314240370041 is an apocalyptic number.

It is an amenable number.

314240370041 is a deficient number, since it is larger than the sum of its proper divisors (35841740239).

314240370041 is a wasteful number, since it uses less digits than its factorization.

314240370041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833528875.

The product of its (nonzero) digits is 8064, while the sum is 29.

The spelling of 314240370041 in words is "three hundred fourteen billion, two hundred forty million, three hundred seventy thousand, forty-one".

Divisors: 1 13 29 377 833528833 10835874829 24172336157 314240370041