Search a number
-
+
414343312331 = 13311028147177
BaseRepresentation
bin1100000011110001100…
…10010011001111001011
31110121111022001010112212
412001320302103033023
523242033341443311
6514202515055335
741635546021064
oct6017062231713
91417438033485
10414343312331
1114a7a3aa8233
12683768a154b
13300c31013c0
14160a90c556b
15aba0c43c8b
hex6078c933cb

414343312331 has 8 divisors (see below), whose sum is σ = 460609935744. Its totient is φ = 370132983360.

The previous prime is 414343312309. The next prime is 414343312343. The reversal of 414343312331 is 133213343414.

It is a happy number.

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 414343312331 - 210 = 414343311307 is a prime.

It is a super-2 number, since 2×4143433123312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414343312631) 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, 514073186 + ... + 514073991.

It is an arithmetic number, because the mean of its divisors is an integer number (57576241968).

Almost surely, 2414343312331 is an apocalyptic number.

414343312331 is a deficient number, since it is larger than the sum of its proper divisors (46266623413).

414343312331 is a wasteful number, since it uses less digits than its factorization.

414343312331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028147221.

The product of its digits is 31104, while the sum is 32.

Adding to 414343312331 its reverse (133213343414), we get a palindrome (547556655745).

The spelling of 414343312331 in words is "four hundred fourteen billion, three hundred forty-three million, three hundred twelve thousand, three hundred thirty-one".

Divisors: 1 13 31 403 1028147177 13365913301 31872562487 414343312331