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7334414041 = 232915770039
BaseRepresentation
bin1101101010010101…
…00100011011011001
3200221010222211121111
412311022210123121
5110010102222131
63211441540321
7346516330213
oct66512443331
920833884544
107334414041
1131240a3909
1215083446a1
138cb692b86
144d812b5b3
152cdd74ab1
hex1b52a46d9

7334414041 has 16 divisors (see below), whose sum is σ = 7967750400. Its totient is φ = 6730371648.

The previous prime is 7334413997. The next prime is 7334414051. The reversal of 7334414041 is 1404144337.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 7334414041 - 219 = 7333889753 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7334413994 and 7334414012.

It is not an unprimeable number, because it can be changed into a prime (7334414051) 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 15 ways as a sum of consecutive naturals, for example, 69700 + ... + 139738.

It is an arithmetic number, because the mean of its divisors is an integer number (497984400).

Almost surely, 27334414041 is an apocalyptic number.

It is an amenable number.

7334414041 is a deficient number, since it is larger than the sum of its proper divisors (633336359).

7334414041 is a wasteful number, since it uses less digits than its factorization.

7334414041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70248.

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 7334414041 is about 85641.1935986415. The cubic root of 7334414041 is about 1942.9209939632.

Adding to 7334414041 its reverse (1404144337), we get a palindrome (8738558378).

The spelling of 7334414041 in words is "seven billion, three hundred thirty-four million, four hundred fourteen thousand, forty-one".

Divisors: 1 23 29 157 667 3611 4553 70039 104719 1610897 2031131 10996123 46716013 252910829 318887567 7334414041