Search a number
-
+
705314030241 = 31377853218527
BaseRepresentation
bin10100100001101111111…
…11100000001010100001
32111102112112210002210210
422100313333200022201
543023440342431431
61300003343244333
7101646224224032
oct12206777401241
92442475702723
10705314030241
11252138423227
12b48402a96a9
1351684399732
14261ccd8ca89
151353088ed46
hexa437fe02a1

705314030241 has 16 divisors (see below), whose sum is σ = 947408039424. Its totient is φ = 466715593344.

The previous prime is 705314030219. The next prime is 705314030243. The reversal of 705314030241 is 142030413507.

It is a happy number.

It is not a de Polignac number, because 705314030241 - 211 = 705314028193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 705314030199 and 705314030208.

It is not an unprimeable number, because it can be changed into a prime (705314030243) 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 15 ways as a sum of consecutive naturals, for example, 3118320 + ... + 3336846.

It is an arithmetic number, because the mean of its divisors is an integer number (59213002464).

Almost surely, 2705314030241 is an apocalyptic number.

It is an amenable number.

705314030241 is a deficient number, since it is larger than the sum of its proper divisors (242094009183).

705314030241 is a wasteful number, since it uses less digits than its factorization.

705314030241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226520.

The product of its (nonzero) digits is 10080, while the sum is 30.

Adding to 705314030241 its reverse (142030413507), we get a palindrome (847344443748).

The spelling of 705314030241 in words is "seven hundred five billion, three hundred fourteen million, thirty thousand, two hundred forty-one".

Divisors: 1 3 137 411 7853 23559 218527 655581 1075861 3227583 29938199 89814597 1716092531 5148277593 235104676747 705314030241